From f67d200610b242de1a00b8eee48985a75fbcfb2f Mon Sep 17 00:00:00 2001
From: TMHSDigital <154358121+TMHSDigital@users.noreply.github.com>
Date: Fri, 25 Sep 2026 07:21:31 -0400
Subject: [PATCH 1/3] fix(showcase): wheelbarrow second quality pass:
 one-timber shafts, hopper tray

The barrow read as a crate on legs. Each shaft was three boxes: a handle
stopping at the tray's rear corner, a level run hidden exactly under the
side wall, and a fork turning in a 50-degree V to the hub. The tray was a
square box, a spreader stood inside the wheel touching neither fork, and
the iron straps ran 12 mm above the wall tops.
- Each shaft is one mitred sweep grip -> tray rear -> tray front -> axle,
  narrowing in plan the whole way, legs and a bearer hung from it.
- The tray is a hopper between a bottom and a top outline: sides flared
  15 deg, front raked 30 deg over the wheel, rear leaning 12 deg; end
  boards housed into the sides; straps follow the wall and stop below it.
- Seams and seats are measured in each wall's own plane, taken from the
  boards' faces; AABB tests lie on leaning boards.
New budgets: shaft runs = 2 (exit 20, --split-shafts), flare >= 10 deg and
rake >= 20 deg (exit 21, --box-tray, same top outline). The handle-join
budget is gone: the handle is the shaft. Outer AABB and tray size re-fitted.
Tris 2536 -> 2440. Same codes on 4.5.11, 5.1.2 and 5.2.1. Asset sheet added.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Signed-off-by: TMHSDigital <154358121+TMHSDigital@users.noreply.github.com>
---
 docs/gallery/asset-sheets/wheelbarrow.webp    | Bin 0 -> 35908 bytes
 docs/gallery/assets/wheelbarrow-hero.webp     | Bin 18644 -> 18634 bytes
 .../wheelbarrow-contact-sheet.webp            | Bin 52698 -> 52678 bytes
 docs/gallery/wheelbarrow/index.html           | 626 +++++++++++-------
 showcase/gallery.json                         |   4 +-
 showcase/wheelbarrow/README.md                | 122 ++--
 showcase/wheelbarrow/preview.webp             | Bin 17242 -> 17100 bytes
 showcase/wheelbarrow/wheelbarrow.py           | 585 ++++++++++------
 8 files changed, 844 insertions(+), 493 deletions(-)
 create mode 100644 docs/gallery/asset-sheets/wheelbarrow.webp

diff --git a/docs/gallery/asset-sheets/wheelbarrow.webp b/docs/gallery/asset-sheets/wheelbarrow.webp
new file mode 100644
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diff --git a/docs/gallery/wheelbarrow/index.html b/docs/gallery/wheelbarrow/index.html
index 5a40fc99..5e98419d 100644
--- a/docs/gallery/wheelbarrow/index.html
+++ b/docs/gallery/wheelbarrow/index.html
@@ -16,13 +16,13 @@
   <meta property="og:image" content="https://tmhsdigital.github.io/Blender-Developer-Tools/gallery/assets/wheelbarrow-hero.webp" />
   <meta property="og:image:width" content="1280" />
   <meta property="og:image:height" content="720" />
-  <meta property="og:image:alt" content="A wooden wheelbarrow whose tray walls are stacked boards held by iron straps, with a spoked front wheel and two long handles." />
+  <meta property="og:image:alt" content="A wooden wheelbarrow with a flared tray of stacked boards held by iron straps, its front raked out over a spoked wheel, and two long shafts running from the handles under the tray to the axle." />
   <meta property="og:site_name" content="Blender Developer Tools" />
   <meta name="twitter:card" content="summary_large_image" />
   <meta name="twitter:title" content="wheelbarrow — Showcase — Blender Developer Tools" />
   <meta name="twitter:description" content="A procedural wooden wheelbarrow through UVs, bake, LOD, collider, and Unity glTF, asserting recomputed budgets rather than an API contract." />
   <meta name="twitter:image" content="https://tmhsdigital.github.io/Blender-Developer-Tools/gallery/assets/wheelbarrow-hero.webp" />
-  <meta name="twitter:image:alt" content="A wooden wheelbarrow whose tray walls are stacked boards held by iron straps, with a spoked front wheel and two long handles." />
+  <meta name="twitter:image:alt" content="A wooden wheelbarrow with a flared tray of stacked boards held by iron straps, its front raked out over a spoked wheel, and two long shafts running from the handles under the tray to the axle." />
   <style>
     /* fonts are deployed by the landing build (docs/fonts/) */
     @font-face { font-family: 'Barlow Condensed'; font-weight: 600; font-display: swap;
@@ -268,35 +268,42 @@ <h1>wheelbarrow</h1>
     <p>A procedural wooden wheelbarrow through UVs, bake, LOD, collider, and Unity glTF, asserting recomputed budgets rather than an API contract.</p>
   </header>
   <main id="main">
-    <button class="detail-hero" id="heroZoom" type="button" aria-label="View full size: A wooden wheelbarrow whose tray walls are stacked boards held by iron straps, with a spoked front wheel and two long handles.">
-      <img src="../assets/wheelbarrow-hero.webp" alt="A wooden wheelbarrow whose tray walls are stacked boards held by iron straps, with a spoked front wheel and two long handles." width="1280" height="720" />
+    <button class="detail-hero" id="heroZoom" type="button" aria-label="View full size: A wooden wheelbarrow with a flared tray of stacked boards held by iron straps, its front raked out over a spoked wheel, and two long shafts running from the handles under the tray to the axle.">
+      <img src="../assets/wheelbarrow-hero.webp" alt="A wooden wheelbarrow with a flared tray of stacked boards held by iron straps, its front raked out over a spoked wheel, and two long shafts running from the handles under the tray to the axle." width="1280" height="720" />
     </button>
     <p class="zoom-hint">Rendered headless by the showcase piece itself — click to zoom.</p>
-    <div class="callout"><span class="tag">witnesses</span> Recomputed: 2536 tris, two materials with 1157 wood and 190 metal faces, UVs in 0..1 with zero AABB overlap, outer AABB 1.556×0.630×0.572 m, zmin 0, hygiene 0, wall-floor seat 12 mm, spoke clearance 40 mm, two boards per side and front wall with 2 mm seams, LOD ratios in band (5.2 COLLAPSE leaner on LOD2), convex collider 90 tris, non-empty glTF. --skip-decimate exits 9 on LOD1; --stray-vert exits 15 on hygiene; --lift-z / --short-legs exit 16 on grounded; --fat-spokes / --float-walls / --wide-seams exit 17 on joint fit; --pipe-rim exits 18 on tread aspect.</div>
+    <div class="callout"><span class="tag">witnesses</span> Recomputed: 2440 tris, two materials with 1085 wood and 214 metal faces, UVs in 0..1 with zero AABB overlap, outer AABB 1.563x0.594x0.577 m, zmin 0, hygiene 0, both shafts one timber from grip to axle, tray flared 15 deg and raked 30 deg, wall-floor seat 8 mm, spoke clearance 52 mm, two boards per side and front wall with 2 mm seams measured in the wall&#x27;s plane, LOD ratios in band (5.2 COLLAPSE leaner on LOD2), convex collider 80 tris, non-empty glTF. --skip-decimate exits 9 on LOD1; --stray-vert exits 15 on hygiene; --lift-z / --short-legs exit 16 on grounded; --fat-spokes / --float-walls / --wide-seams exit 17 on joint fit; --pipe-rim exits 18 on tread aspect; --split-shafts exits 20 on shaft runs; --box-tray exits 21 on tray flare.</div>
     <div class="runline">
       <pre id="runCmd">blender --background --python showcase/wheelbarrow/wheelbarrow.py --</pre>
       <button class="copy-btn" id="copyRun" type="button">Copy</button>
     </div>
     <section class="detail-section md">
-<p>A showcase piece, not an example. Procedural wooden wheelbarrow (two chassis shafts that are the handles, box tray with overlapping floor slats and walls of stacked boards, iron straps, single flat-tread spoked wheel, rear legs) then the shipped pipeline: unique-cell UVs, Cycles high-to-low normal bake, LOD chain, convex collider, Unity glTF export.</p>
-<p>The tray walls seat into the floor rather than sitting on top of it, so a wood bevel cannot open daylight at the joint. Handles are thinner in Y than the chassis they tenon into. The tyre is a flat felloe wrap, not a torus.</p>
+<p>A showcase piece, not an example. Procedural wooden wheelbarrow (two shafts that are the handles, each one timber from grip to axle; a flared hopper tray with overlapping floor slats and walls of stacked boards; iron straps; a single flat-tread spoked wheel; rear legs) then the shipped pipeline: unique-cell UVs, Cycles high-to-low normal bake, LOD chain, convex collider, Unity glTF export.</p>
+<p>The tray walls seat into the floor rather than sitting on top of it, so a wood bevel cannot open daylight at the joint. The tyre is a flat felloe wrap, not a torus.</p>
 <p>It asserts <strong>budget conformance</strong> of the generated result. It does not witness an API contract. &quot;It rendered without error&quot; is not a check.</p>
 <p><strong>Composes</strong> skills <code>mesh-editing-and-bmesh</code>, <code>bake-high-to-low</code>, <code>depsgraph-and-evaluated-data</code>, <code>engine-export-presets</code>, and snippets <code>bake_normal_high_to_low.py</code>, <code>setup_bake_target_image.py</code>, <code>lod_chain.py</code> / <code>decimate_to_budget.py</code>, <code>convex_hull_collider.py</code>, <code>export_preset_unity.py</code> (helpers copied, not imported as a package).</p>
+<p>Intended size: a 1.56 m long barrow, 0.59 m across the tray top, 0.58 m to the top of the raked front board; the tray is 0.94 m long at its top edge and 0.22 m deep.</p>
 <h2>Budgets</h2>
 <p>Declared as named constants; every gate <strong>recomputes</strong> from the mesh, materials, UVs, evaluated LOD, collider, or export file.</p>
-<div class="table-wrap"><table><thead><tr><th scope="col">Axis</th><th scope="col">Declared</th><th scope="col">Measured (4.5.11 / 5.1.2 / 5.2.1)</th></tr></thead><tbody><tr><td>Base triangles</td><td>2300–2800</td><td>2536 / 2536 / 2536</td></tr><tr><td>LOD1 ratio</td><td>0.32–0.62 of base</td><td>0.5000 / 0.5000 / 0.5000</td></tr><tr><td>LOD2 ratio</td><td>0.10–0.35 of base</td><td>0.2192 / 0.2192 / 0.2098</td></tr><tr><td>Materials</td><td>exactly 2 distinct; ≥700 wood, ≥180 metal faces</td><td>2 slots; 1157 / 190</td></tr><tr><td>UVs</td><td>in <code>0..1</code>, AABB overlap ≤ 1e-5</td><td>in range, overlap 0</td></tr><tr><td>Outer AABB</td><td>(1.558, 0.630, 0.574) m ± 0.015</td><td>(1.5556, 0.6300, 0.5720), zmin 0</td></tr><tr><td>Collider tris</td><td>≤ 220</td><td>90</td></tr><tr><td>Export</td><td>written, size &gt; 0</td><td>193036 / 193036 / 193020 bytes</td></tr></tbody></table></div>
+<div class="table-wrap"><table><thead><tr><th scope="col">Axis</th><th scope="col">Declared</th><th scope="col">Measured (4.5.11 / 5.1.2 / 5.2.1)</th></tr></thead><tbody><tr><td>Base triangles</td><td>2300–2800</td><td>2440 / 2440 / 2440</td></tr><tr><td>LOD1 ratio</td><td>0.32–0.62 of base</td><td>0.5000 / 0.5000 / 0.5000</td></tr><tr><td>LOD2 ratio</td><td>0.10–0.35 of base</td><td>0.2197 / 0.2197 / 0.2057</td></tr><tr><td>Materials</td><td>exactly 2 distinct; ≥700 wood, ≥180 metal faces</td><td>2 slots; 1085 / 214</td></tr><tr><td>UVs</td><td>in <code>0..1</code>, AABB overlap ≤ 1e-5</td><td>in range, overlap 0</td></tr><tr><td>Outer AABB</td><td>(1.563, 0.594, 0.577) m ± 0.015</td><td>(1.5630, 0.5938, 0.5773), zmin 0</td></tr><tr><td>Collider tris</td><td>≤ 220</td><td>80</td></tr><tr><td>Export</td><td>written, size &gt; 0</td><td>185652 / 185652 / 185636 bytes</td></tr></tbody></table></div>
 <h3>Hygiene</h3>
 <p>Recomputed from the generated mesh, not asserted about the script.</p>
-<div class="table-wrap"><table><thead><tr><th scope="col">Axis</th><th scope="col">Declared</th><th scope="col">Measured (all three)</th></tr></thead><tbody><tr><td>Non-manifold edges</td><td>0</td><td>0</td></tr><tr><td>Loose verts / edges</td><td>0 / 0</td><td>0 / 0</td></tr><tr><td>Doubles merged at 1e-5</td><td>0</td><td>0</td></tr><tr><td>Zero-area faces</td><td>0</td><td>0</td></tr><tr><td>N-gons</td><td>0</td><td>0</td></tr><tr><td>Coplanar disjoint face pairs</td><td>0</td><td>0</td></tr><tr><td>Grounded: <code>zmin</code></td><td>within 1e-4 of 0</td><td>0.0000</td></tr><tr><td>Named supports: 2 shoes + tyre</td><td>each <code>zmin</code> ≤ 1e-3</td><td>shoe_z 0.00000, tyre_z 0.00000</td></tr><tr><td>Tray size</td><td>(0.720, 0.532, 0.220) m ± 0.02</td><td>(0.7200, 0.5320, 0.2200)</td></tr></tbody></table></div>
+<div class="table-wrap"><table><thead><tr><th scope="col">Axis</th><th scope="col">Declared</th><th scope="col">Measured (all three)</th></tr></thead><tbody><tr><td>Non-manifold edges</td><td>0</td><td>0</td></tr><tr><td>Loose verts / edges</td><td>0 / 0</td><td>0 / 0</td></tr><tr><td>Doubles merged at 1e-5</td><td>0</td><td>0</td></tr><tr><td>Zero-area faces</td><td>0</td><td>0</td></tr><tr><td>N-gons</td><td>0</td><td>0</td></tr><tr><td>Coplanar disjoint face pairs</td><td>0</td><td>0</td></tr><tr><td>Grounded: <code>zmin</code></td><td>within 1e-4 of 0</td><td>0.0000</td></tr><tr><td>Named supports: 2 shoes + tyre</td><td>each <code>zmin</code> ≤ 1e-3</td><td>shoe_z 0.00000, tyre_z 0.00000</td></tr><tr><td>Tray size</td><td>(0.939, 0.578, 0.225) m ± 0.02</td><td>(0.9393, 0.5783, 0.2247)</td></tr></tbody></table></div>
 <h3>Joint fit and seat</h3>
-<div class="table-wrap"><table><thead><tr><th scope="col">Axis</th><th scope="col">Declared</th><th scope="col">Measured (all three)</th></tr></thead><tbody><tr><td>Spoke clearance (hub − spoke)</td><td>≥ 0.010 m</td><td>0.04000</td></tr><tr><td>Handle-tray overlap</td><td>gap ≤ 0.020 m</td><td>−0.07062</td></tr><tr><td>Wall-floor seat</td><td>≥ 0.005 m</td><td>0.01200</td></tr><tr><td>Metal-wood BVH gap</td><td>≤ 0.010 m</td><td>0.00000</td></tr><tr><td>Tread aspect (tyre width / radial)</td><td>≥ 2.5</td><td>5.111</td></tr><tr><td><strong>Wall boards</strong></td><td>2 boards per side wall and in the front wall; every seam 0.001–0.004 m</td><td>2 / 2 / 2; 0.00200</td></tr></tbody></table></div>
+<div class="table-wrap"><table><thead><tr><th scope="col">Axis</th><th scope="col">Declared</th><th scope="col">Measured (all three)</th></tr></thead><tbody><tr><td>Spoke clearance (hub − spoke)</td><td>≥ 0.010 m</td><td>0.05210</td></tr><tr><td>Wall-floor seat (inner bottom edge, lowest board of each wall)</td><td>≥ 0.005 m</td><td>0.00800</td></tr><tr><td>Metal-wood BVH gap</td><td>≤ 0.010 m</td><td>0.00000</td></tr><tr><td>Tread aspect (tyre width / radial)</td><td>≥ 2.5</td><td>5.111</td></tr><tr><td><strong>Wall boards</strong></td><td>2 boards per side wall and in the front wall; every seam 0.001–0.004 m, measured up the wall&#x27;s own plane</td><td>2 / 2 / 2; 0.00207–0.00231</td></tr></tbody></table></div>
+<h3>Form</h3>
+<div class="table-wrap"><table><thead><tr><th scope="col">Axis</th><th scope="col">Declared</th><th scope="col">Measured (all three)</th></tr></thead><tbody><tr><td><strong>Shaft runs</strong>: wood shells unbroken from behind the tray to past its front</td><td>exactly 2</td><td>2</td></tr><tr><td><strong>Tray flare / rake</strong>, from the boards&#x27; own faces</td><td>side ≥ 10°, front ≥ 20°</td><td>15.00° / 30.00°</td></tr></tbody></table></div>
 <p>DECIMATE COLLAPSE triangle counts are <strong>not</strong> identical across series, so LOD2 ratios differ slightly. The gate is a ratio band, not an exact count. Bake pixels are stochastic; the gate is <code>has_data</code> plus operator <code>FINISHED</code>, not byte-identity. Construction is closed-form; the only RNG is the seeded per-board wood tone. Bevel inputs are sorted by edge index, so the face order is the same on every run; a Python set of edges handed to the bevel had made it vary. Export byte counts differ on 5.2.1 (glTF serializer), not a gated axis.</p>
+<h3>Why the frame is two timbers and the tray a hopper</h3>
+<p>The second pass found the barrow read as a crate on legs. The frame was three boxes per side: a handle that stopped at the tray&#x27;s rear corner, a level run hidden exactly under the side wall (both at 0.255 m from the centreline), and a fork that started at the front corner and turned in a 50° V to the hub. From outside, the tray carried everything. The tray itself was a square box, and a spreader between the forks stood inside the wheel, touching neither fork. The iron straps ran 12 mm above the wall tops.</p>
+<ul><li><strong>Shafts.</strong> Each shaft is one mitred sweep through the grip, the tray&#x27;s rear, its front and the axle. It narrows in plan the whole way (0.27 m at the grips, 0.19 and 0.15 m under the tray, 0.038 m at the hub), so it shows under the tray and reads as one piece of wood. The legs and a stretcher hang from it, and a bearer under the tray front, its ends buried in the shafts, replaces the spreader.</li><li><strong>Hopper.</strong> The tray is built from a bottom outline and a top outline: sides flared 15°, the front raked 30° out over the wheel for tipping, the low rear leaning back 12°. Each wall is the planar band between its bottom and top edges; the end boards are housed half a board into the sides, and the sides run past the ends&#x27; outer faces.</li><li><strong>Measured in the wall&#x27;s plane.</strong> A leaning board&#x27;s outer face sits lower than its inner one, so AABB tests lie: a Z seam reads negative and a zmin seat reads deep. Seams are measured along each wall&#x27;s own up direction, and the seat on each wall&#x27;s lowest board&#x27;s inner face, both taken from the boards&#x27; own faces.</li><li><strong>Straps</strong> follow the flared wall and stop 10 mm below its top.</li></ul>
+<p><code>WALL_SEAT</code> went from 12 mm to 8 mm: a raked board&#x27;s outer bottom edge sits <code>WALL_T·sin(RAKE)</code> below its inner one, and at 12 mm it would have broken through the underside of the 22 mm floor. The handle-join budget is gone, because the handle no longer joins anything: it is the shaft. The shaft-run budget replaces it. Base triangles went from 2536 to 2440, and the collider from 90 to 80.</p>
 <h3>Walls, wood and iron</h3>
-<p>Each tray wall was one plain slab beside a floor of planks, and every piece was one flat tone. Side and front walls are now two boards stacked with a 2 mm seam, held by the existing straps; the low rear wall stays one board. <code>tray_size</code> and <code>wall_floor_seat</code> now take a side wall as the union of its boards. <strong>Wall boards</strong> asserts the count and the seam; <code>--wide-seams</code> opens the seams to 8 mm (same boards, same triangles) and exits 17.</p>
-<p>The extra boards cost 324 triangles, which would have broken the 2800 ceiling. They are paid for with faces nobody sees: wall bottoms buried in the floor and slat undersides no longer get a bevel (faces beveled on some edges come out n-gons and are split, at the same triangle count). Base triangles went from 2500 to 2536. Wood has a tone and grain per board and shaft; the iron is dark and rusted instead of glossy black. The temp <code>.glb</code> is removed after its size is measured.</p>
+<p>Side and front walls are two boards stacked with a 2 mm seam, held by the straps; the low rear wall stays one board. <strong>Wall boards</strong> asserts the count and the seam; <code>--wide-seams</code> opens the seams to 8 mm (same boards, same triangles) and exits 17. Faces nobody sees get no bevel: wall bottoms buried in the floor and slat undersides. Wood has a tone and grain per board and shaft; the iron is dark and rusted. The temp <code>.glb</code> is removed after its size is measured.</p>
 <h3>Falsifiers</h3>
-<p>Each violates one named budget. All nine were run on 4.5.11, 5.1.2 and 5.2.1 and returned the same code on each.</p>
-<div class="table-wrap"><table><thead><tr><th scope="col">Flag</th><th scope="col">Budget violated</th><th scope="col">Exit</th></tr></thead><tbody><tr><td><code>--skip-decimate</code></td><td>LOD1 ratio band</td><td>9</td></tr><tr><td><code>--stray-vert</code></td><td>loose vertex count is 0</td><td>15</td></tr><tr><td><code>--lift-z</code></td><td>bounding box <code>zmin</code> is 0</td><td>16</td></tr><tr><td><code>--short-legs</code></td><td>named shoe supports at Z=0</td><td>16</td></tr><tr><td><code>--fat-spokes</code></td><td>spoke clearance inside the hub</td><td>17</td></tr><tr><td><code>--float-walls</code></td><td>wall-floor seat</td><td>17</td></tr><tr><td><code>--pipe-rim</code></td><td>tread aspect (torus on a flat felloe)</td><td>18</td></tr><tr><td><code>--wide-seams</code></td><td>wall boards (seam band)</td><td>17</td></tr></tbody></table></div>
+<p>Each violates one named budget. All eleven were run on 4.5.11, 5.1.2 and 5.2.1 and returned the same code on each.</p>
+<div class="table-wrap"><table><thead><tr><th scope="col">Flag</th><th scope="col">Budget violated</th><th scope="col">Exit</th></tr></thead><tbody><tr><td><code>--skip-decimate</code></td><td>LOD1 ratio band</td><td>9</td></tr><tr><td><code>--stray-vert</code></td><td>loose vertex count is 0</td><td>15</td></tr><tr><td><code>--lift-z</code></td><td>bounding box <code>zmin</code> is 0</td><td>16</td></tr><tr><td><code>--short-legs</code></td><td>named shoe supports at Z=0</td><td>16</td></tr><tr><td><code>--fat-spokes</code></td><td>spoke clearance inside the hub</td><td>17</td></tr><tr><td><code>--float-walls</code></td><td>wall-floor seat (measures −0.00691 m)</td><td>17</td></tr><tr><td><code>--pipe-rim</code></td><td>tread aspect (torus on a flat felloe)</td><td>18</td></tr><tr><td><code>--wide-seams</code></td><td>wall boards (seam band)</td><td>17</td></tr><tr><td><code>--split-shafts</code></td><td>two unbroken shaft runs (measures 0)</td><td>20</td></tr><tr><td><code>--box-tray</code></td><td>tray flare / rake (measures 0° / 0°)</td><td>21</td></tr></tbody></table></div>
+<p><code>--box-tray</code> stands every wall vertical on the flared tray&#x27;s top outline, so the envelope and the tray-size budget stay put and only the flare gate can fail.</p>
 <h2>Run</h2>
 <pre><code>blender --background --python wheelbarrow.py --
 blender --background --python wheelbarrow.py -- --skip-decimate
@@ -307,11 +314,13 @@ <h2>Run</h2>
 blender --background --python wheelbarrow.py -- --float-walls
 blender --background --python wheelbarrow.py -- --pipe-rim
 blender --background --python wheelbarrow.py -- --wide-seams
+blender --background --python wheelbarrow.py -- --split-shafts
+blender --background --python wheelbarrow.py -- --box-tray
 blender --background --python wheelbarrow.py -- --output barrow.png</code></pre>
 <p>Smoke passes no flags.</p>
 <h2>Exit codes</h2>
 <p>File-local. <code>9</code> is a valid check code. <code>10</code> is reserved for <code>gallery_framing.check_framing</code> on the <code>--output</code> path. <code>15</code>–<code>19</code> are the hygiene and joint-fit family.</p>
-<div class="table-wrap"><table><thead><tr><th scope="col">Code</th><th scope="col">Meaning</th></tr></thead><tbody><tr><td>0</td><td>Success</td></tr><tr><td>1</td><td>Uncaught exception (FATAL wrapper)</td></tr><tr><td>2</td><td>argparse / usage</td></tr><tr><td>3</td><td>Mesh did not build / no UV layer</td></tr><tr><td>4</td><td>Base triangle count outside range</td></tr><tr><td>5</td><td>Material count ≠ 2 distinct slots, or a face-count floor missed</td></tr><tr><td>6</td><td>UVs outside 0..1</td></tr><tr><td>7</td><td>UV AABB overlap above tolerance</td></tr><tr><td>8</td><td>World AABB off declared outer size</td></tr><tr><td>9</td><td>LOD ratio band (<code>--skip-decimate</code> lands here)</td></tr><tr><td>10</td><td>Framing gate (render path only)</td></tr><tr><td>11</td><td>Collider triangle count above ceiling</td></tr><tr><td>12</td><td>Bake did not finish or image has no data</td></tr><tr><td>13</td><td>Export file missing or empty</td></tr><tr><td>14</td><td><code>--output</code> produced no file</td></tr><tr><td>15</td><td>Mesh hygiene: loose, non-manifold, zero-area, doubles, n-gons, z-fight</td></tr><tr><td>16</td><td>Not grounded: bounding box <code>zmin</code> off 0, or a named shoe/tyre floats</td></tr><tr><td>17</td><td>Joint fit: spoke clearance, handle join, wall-floor seat, metal-wood gap, or wall boards and seams</td></tr><tr><td>18</td><td>Seat: tread aspect of the tyre</td></tr><tr><td>19</td><td>Tray size off the stated real-world dimensions</td></tr></tbody></table></div>
+<div class="table-wrap"><table><thead><tr><th scope="col">Code</th><th scope="col">Meaning</th></tr></thead><tbody><tr><td>0</td><td>Success</td></tr><tr><td>1</td><td>Uncaught exception (FATAL wrapper)</td></tr><tr><td>2</td><td>argparse / usage</td></tr><tr><td>3</td><td>Mesh did not build / no UV layer</td></tr><tr><td>4</td><td>Base triangle count outside range</td></tr><tr><td>5</td><td>Material count ≠ 2 distinct slots, or a face-count floor missed</td></tr><tr><td>6</td><td>UVs outside 0..1</td></tr><tr><td>7</td><td>UV AABB overlap above tolerance</td></tr><tr><td>8</td><td>World AABB off declared outer size</td></tr><tr><td>9</td><td>LOD ratio band (<code>--skip-decimate</code> lands here)</td></tr><tr><td>10</td><td>Framing gate (render path only)</td></tr><tr><td>11</td><td>Collider triangle count above ceiling</td></tr><tr><td>12</td><td>Bake did not finish or image has no data</td></tr><tr><td>13</td><td>Export file missing or empty</td></tr><tr><td>14</td><td><code>--output</code> produced no file</td></tr><tr><td>15</td><td>Mesh hygiene: loose, non-manifold, zero-area, doubles, n-gons, z-fight</td></tr><tr><td>16</td><td>Not grounded: bounding box <code>zmin</code> off 0, or a named shoe/tyre floats</td></tr><tr><td>17</td><td>Joint fit: spoke clearance, wall-floor seat, metal-wood gap, or wall boards and seams</td></tr><tr><td>18</td><td>Seat: tread aspect of the tyre</td></tr><tr><td>19</td><td>Tray size off the stated real-world dimensions</td></tr><tr><td>20</td><td>A shaft is not one timber from grip to axle (<code>--split-shafts</code>)</td></tr><tr><td>21</td><td>Tray flare or front rake under its floor (<code>--box-tray</code>)</td></tr></tbody></table></div>
     </section>
     <section class="detail-section src">
       <h2>Source</h2>
@@ -321,8 +330,9 @@ <h2>Source</h2>
       </div>
       <pre><span class="s">&quot;&quot;&quot;Game-ready wooden wheelbarrow — a showcase piece, not an example.
 
-Asserts budget conformance of a procedural wheelbarrow (two chassis
-shafts, box tray, flat-tread spoked wheel, rear legs) after composing
+Asserts budget conformance of a procedural wheelbarrow (two shafts, each
+one timber from grip to axle; a flared hopper tray; a flat-tread spoked
+wheel; rear legs) after composing
 shipped pipeline pieces: bmesh construction, UVs, two materials,
 high-to-low normal bake, LOD chain, convex collider, Unity glTF export.
 
@@ -337,7 +347,9 @@ <h2>Source</h2>
 so the tread-aspect seat budget fails. ``--float-walls`` lifts the
 tray walls off the floor so the wall-floor seat budget fails.
 ``--wide-seams`` opens the seams between wall boards to 8 mm so the
-wall-board budget fails.
+wall-board budget fails. ``--split-shafts`` builds each shaft as three
+boxes so the shaft-run budget fails. ``--box-tray`` stands the tray walls
+vertical on the same top outline so the flare budget fails.
 
 Construction is closed-form; the only RNG is the seeded per-board wood
 tone. DECIMATE COLLAPSE triangle counts
@@ -384,9 +396,16 @@ <h2>Source</h2>
 WHEEL_Z = RIM_MAJOR + RIM_RADIAL + TYRE_T
 RIM_MINOR_PIPE = <span class="n">0.020</span>
 
-<span class="c"># Chassis shafts are the handles. They run under the tray, then converge</span>
-<span class="c"># into forks at the axle. Tray, legs, and wheel all hang off this frame.</span>
-SHAFT_Y = <span class="n">0.255</span>
+<span class="c"># Chassis shafts are the handles. Each is ONE timber swept from the grip,</span>
+<span class="c"># under the tray, to the axle: it runs level under the tray and narrows</span>
+<span class="c"># gently in plan all the way (grips HANDLE_Y apart, SHAFT_Y at the tray</span>
+<span class="c"># rear, SHAFT_Y_FRONT at its front, FORK_Y at the hub). Built as three</span>
+<span class="c"># boxes, the handle stopped at the tray&#x27;s corner, the level run hid under</span>
+<span class="c"># the side walls, and the fork started at the front corner: the tray</span>
+<span class="c"># carried everything and the barrow read as a crate on legs.</span>
+HANDLE_Y = <span class="n">0.27</span>
+SHAFT_Y = <span class="n">0.19</span>
+SHAFT_Y_FRONT = <span class="n">0.15</span>
 SHAFT_W = <span class="n">0.036</span>
 SHAFT_H = <span class="n">0.044</span>
 SHAFT_Z = <span class="n">0.280</span>
@@ -395,7 +414,16 @@ <h2>Source</h2>
 TRAY_X0 = -<span class="n">0.32</span>
 TRAY_X1 = <span class="n">0.40</span>
 TRAY_L = TRAY_X1 - TRAY_X0
-TRAY_W = <span class="n">2.0</span> * SHAFT_Y
+<span class="c"># The tray is a hopper, not a box: a floor of inner half-width TRAY_YB on</span>
+<span class="c"># the shafts, sides flared out by FLARE, the front raked over the wheel by</span>
+<span class="c"># RAKE for tipping, the low rear leaning back by REAR_LEAN.</span>
+TRAY_YB = <span class="n">0.21</span>
+TRAY_W = <span class="n">2.0</span> * TRAY_YB
+FLARE = math.radians(<span class="n">15.0</span>)
+RAKE = math.radians(<span class="n">30.0</span>)
+REAR_LEAN = math.radians(<span class="n">12.0</span>)
+FLARE_MIN = math.radians(<span class="n">10.0</span>)
+RAKE_MIN = math.radians(<span class="n">20.0</span>)
 FLOOR_T = <span class="n">0.022</span>
 N_FLOOR = <span class="n">5</span>
 <span class="c"># Negative: slats overlap so the wood bevel cannot open daylight</span>
@@ -403,7 +431,10 @@ <h2>Source</h2>
 SLAT_GAP = -<span class="n">0.003</span>
 WALL_H = <span class="n">0.22</span>
 WALL_T = <span class="n">0.022</span>
-WALL_SEAT = <span class="n">0.012</span>
+<span class="c"># A raked wall&#x27;s outer bottom edge sits WALL_T*sin(RAKE) below its inner</span>
+<span class="c"># one, so the seat is kept under FLOOR_T minus that or the edge pokes out</span>
+<span class="c"># of the floor&#x27;s underside.</span>
+WALL_SEAT = <span class="n">0.008</span>
 <span class="c"># Side and front walls are WALL_BOARDS boards stacked with a WALL_SEAM</span>
 <span class="c"># between them, held by the iron straps; the low rear wall is one board.</span>
 WALL_BOARDS = <span class="n">2</span>
@@ -415,17 +446,21 @@ <h2>Source</h2>
 PLANK_TONE_JITTER = <span class="n">0.28</span>
 TONE_SEED = <span class="n">29</span>
 WOOD_GRAIN_SCALE = <span class="n">30.0</span>
-HANDLE_SEAT = <span class="n">0.055</span>
 FRONT_H = <span class="n">0.26</span>
 REAR_H = <span class="n">0.10</span>
 FORK_Y = HUB_W / <span class="n">2.0</span> + <span class="n">0.016</span>
 LEG_X = -<span class="n">0.06</span>
+LEG_SPLAY = <span class="n">0.08</span>          <span class="c"># each leg&#x27;s foot sits this far outboard of its shaft</span>
+LEG_BRACE_Z = <span class="n">0.12</span>
+BEARER_BACK = <span class="n">0.04</span>        <span class="c"># bearer under the tray, this far behind its front</span>
+STRAP_T = <span class="n">0.008</span>
+STRAP_TOP_CLEAR = <span class="n">0.010</span>   <span class="c"># straps stop this far below the wall top</span>
 SHOE_H = <span class="n">0.024</span>
 SHOE_XY = (<span class="n">0.058</span>, <span class="n">0.050</span>)
 
 BBOX_TOL = <span class="n">0.015</span>
-OUTER_SIZE = (<span class="n">1.558</span>, <span class="n">0.630</span>, <span class="n">0.574</span>)
-TRAY_SIZE = (<span class="n">0.720</span>, <span class="n">0.532</span>, <span class="n">0.220</span>)
+OUTER_SIZE = (<span class="n">1.563</span>, <span class="n">0.594</span>, <span class="n">0.577</span>)
+TRAY_SIZE = (<span class="n">0.939</span>, <span class="n">0.578</span>, <span class="n">0.225</span>)
 TRAY_SIZE_TOL = (<span class="n">0.02</span>, <span class="n">0.02</span>, <span class="n">0.02</span>)
 BASE_TRIS_MIN = <span class="n">2300</span>
 BASE_TRIS_MAX = <span class="n">2800</span>
@@ -452,7 +487,6 @@ <h2>Source</h2>
 GAP_MAX = <span class="n">0.010</span>
 SPOKE_CLEAR_MIN = <span class="n">0.010</span>
 TREAD_ASPECT_MIN = <span class="n">2.5</span>
-HANDLE_JOIN = <span class="n">0.020</span>
 WALL_SEAT_MIN = <span class="n">0.005</span>
 SHOE_Z_MAX = <span class="n">1e-3</span>
 
@@ -524,6 +558,51 @@ <h2>Source</h2>
     )
 
 
+<span class="k">def</span> add_hex(bm, inner, outer, mat_idx):
+    <span class="s">&quot;&quot;&quot;A six-faced board from its inner quad and outer quad (same winding).&quot;&quot;&quot;</span>
+    vi = [bm.verts.new(p) <span class="k">for</span> p <span class="k">in</span> inner]
+    vo = [bm.verts.new(p) <span class="k">for</span> p <span class="k">in</span> outer]
+    quads = [vi, vo[::-<span class="n">1</span>]] + [
+        (vi[k], vo[k], vo[(k + <span class="n">1</span>) % <span class="n">4</span>], vi[(k + <span class="n">1</span>) % <span class="n">4</span>]) <span class="k">for</span> k <span class="k">in</span> range(<span class="n">4</span>)
+    ]
+    <span class="k">for</span> q <span class="k">in</span> quads:
+        bm.faces.new(q).material_index = mat_idx
+    <span class="k">return</span> vi + vo
+
+
+<span class="k">def</span> add_sweep(bm, pts, w, h, mat_idx):
+    <span class="s">&quot;&quot;&quot;One square-section timber swept through a polyline, mitred at bends.
+
+    At an interior point the section lies in the bisector plane of the two
+    segments, scaled by 1/cos(half the bend) so the timber keeps its width
+    through the bend. One shell: a shaft that bends is one piece of wood.
+    &quot;&quot;&quot;</span>
+    pts = [Vector(p) <span class="k">for</span> p <span class="k">in</span> pts]
+    dirs = [(b - a).normalized() <span class="k">for</span> a, b <span class="k">in</span> zip(pts, pts[<span class="n">1</span>:])]
+    rings = []
+    <span class="k">for</span> i, p <span class="k">in</span> enumerate(pts):
+        <span class="k">if</span> i == <span class="n">0</span>:
+            t, k = dirs[<span class="n">0</span>], <span class="n">1.0</span>
+        <span class="k">elif</span> i == len(pts) - <span class="n">1</span>:
+            t, k = dirs[-<span class="n">1</span>], <span class="n">1.0</span>
+        <span class="k">else</span>:
+            t = (dirs[i - <span class="n">1</span>] + dirs[i]).normalized()
+            k = <span class="n">1.0</span> / max(<span class="n">0.5</span>, dirs[i - <span class="n">1</span>].dot(t))
+        side = t.cross(Vector((<span class="n">0.0</span>, <span class="n">0.0</span>, <span class="n">1.0</span>))).normalized()
+        up = side.cross(t).normalized()
+        rings.append([
+            bm.verts.new(p + (side * sx * w / <span class="n">2.0</span> + up * sz * h / <span class="n">2.0</span>) * k)
+            <span class="k">for</span> sx, sz <span class="k">in</span> ((-<span class="n">1</span>, -<span class="n">1</span>), (<span class="n">1</span>, -<span class="n">1</span>), (<span class="n">1</span>, <span class="n">1</span>), (-<span class="n">1</span>, <span class="n">1</span>))
+        ])
+    <span class="k">for</span> a, b <span class="k">in</span> zip(rings, rings[<span class="n">1</span>:]):
+        <span class="k">for</span> j <span class="k">in</span> range(<span class="n">4</span>):
+            j2 = (j + <span class="n">1</span>) % <span class="n">4</span>
+            bm.faces.new((a[j], a[j2], b[j2], b[j])).material_index = mat_idx
+    bm.faces.new(rings[<span class="n">0</span>][::-<span class="n">1</span>]).material_index = mat_idx
+    bm.faces.new(rings[-<span class="n">1</span>]).material_index = mat_idx
+    <span class="k">return</span> [v <span class="k">for</span> r <span class="k">in</span> rings <span class="k">for</span> v <span class="k">in</span> r]
+
+
 <span class="k">def</span> add_cyl(bm, loc, radius, depth, segments, mat_idx, euler=(<span class="n">0.0</span>, <span class="n">0.0</span>, <span class="n">0.0</span>)):
     geo = bmesh.ops.create_cone(
         bm,
@@ -743,7 +822,7 @@ <h2>Source</h2>
 <span class="k">def</span> build_barrow_mesh(
     name, bevel_offset, bevel_segments,
     pipe_rim=<span class="k">False</span>, fat_spokes=<span class="k">False</span>, short_legs=<span class="k">False</span>, float_walls=<span class="k">False</span>,
-    wide_seams=<span class="k">False</span>,
+    wide_seams=<span class="k">False</span>, split_shafts=<span class="k">False</span>, box_tray=<span class="k">False</span>,
 ):
     bm = bmesh.new()
     <span class="k">try</span>:
@@ -752,56 +831,43 @@ <h2>Source</h2>
         spoke_t = HUB_R * <span class="n">2.2</span> <span class="k">if</span> fat_spokes <span class="k">else</span> SPOKE_T
         shoe_z = <span class="n">0.05</span> <span class="k">if</span> short_legs <span class="k">else</span> <span class="n">0.0</span>
         shoe_top = shoe_z + SHOE_H
-        floor_z = SHAFT_Z + SHAFT_H / <span class="n">2.0</span> + FLOOR_T / <span class="n">2.0</span>
-        floor_top = SHAFT_Z + SHAFT_H / <span class="n">2.0</span> + FLOOR_T
+        floor_bot = SHAFT_Z + SHAFT_H / <span class="n">2.0</span>
+        floor_z = floor_bot + FLOOR_T / <span class="n">2.0</span>
+        floor_top = floor_bot + FLOOR_T
         seat = -<span class="n">0.003</span> <span class="k">if</span> float_walls <span class="k">else</span> WALL_SEAT
-        wall_z = floor_top - seat + WALL_H / <span class="n">2.0</span>
-        front_z = floor_top - seat + FRONT_H / <span class="n">2.0</span>
-        rear_z = floor_top - seat + REAR_H / <span class="n">2.0</span>
+        zb = floor_top - seat          <span class="c"># inner bottom edge of every wall</span>
+        T = WALL_T
+
+        <span class="k">def</span> shaft_y(x):
+            <span class="s">&quot;&quot;&quot;Shaft centreline half-spacing under the tray (linear taper).&quot;&quot;&quot;</span>
+            t = (x - TRAY_X0) / (TRAY_X1 - TRAY_X0)
+            <span class="k">return</span> SHAFT_Y + (SHAFT_Y_FRONT - SHAFT_Y) * t
 
+        <span class="c"># ---- the frame: two shafts, legs, a bearer under the tray front</span>
         <span class="k">for</span> ysign <span class="k">in</span> (-<span class="n">1.0</span>, <span class="n">1.0</span>):
-            y = ysign * SHAFT_Y
-            fy = ysign * FORK_Y
-            body.extend(
-                add_oriented_box(
-                    bm,
-                    (HANDLE_X, y, HANDLE_Z),
-                    (TRAY_X0 + HANDLE_SEAT, y, SHAFT_Z),
-                    (SHAFT_W - <span class="n">0.010</span>, SHAFT_H - <span class="n">0.010</span>),
-                    WOOD_IDX,
-                )
-            )
-            body.extend(
-                add_oriented_box(
-                    bm,
-                    (TRAY_X0, y, SHAFT_Z),
-                    (TRAY_X1, y, SHAFT_Z),
-                    (SHAFT_W, SHAFT_H),
-                    WOOD_IDX,
-                )
-            )
-            body.extend(
-                add_oriented_box(
-                    bm,
-                    (TRAY_X1, y, SHAFT_Z),
-                    (WHEEL_X, fy, WHEEL_Z),
-                    (SHAFT_W, SHAFT_H),
-                    WOOD_IDX,
-                )
-            )
+            path = [
+                (HANDLE_X, ysign * HANDLE_Y, HANDLE_Z),
+                (TRAY_X0, ysign * SHAFT_Y, SHAFT_Z),
+                (TRAY_X1, ysign * SHAFT_Y_FRONT, SHAFT_Z),
+                (WHEEL_X, ysign * FORK_Y, WHEEL_Z),
+            ]
+            <span class="k">if</span> split_shafts:
+                <span class="c"># --split-shafts: the old three separate boxes per side</span>
+                <span class="k">for</span> a, b <span class="k">in</span> zip(path, path[<span class="n">1</span>:]):
+                    body.extend(add_oriented_box(bm, a, b, (SHAFT_W, SHAFT_H), WOOD_IDX))
+            <span class="k">else</span>:
+                body.extend(add_sweep(bm, path, SHAFT_W, SHAFT_H, WOOD_IDX))
+            ly = shaft_y(LEG_X)
+            foot = (LEG_X + <span class="n">0.02</span>, ysign * (ly + LEG_SPLAY), shoe_top)
             body.extend(
                 add_oriented_box(
-                    bm,
-                    (LEG_X, y, SHAFT_Z),
-                    (LEG_X + <span class="n">0.02</span>, ysign * (SHAFT_Y + <span class="n">0.035</span>), shoe_top),
-                    (<span class="n">0.034</span>, <span class="n">0.034</span>),
-                    WOOD_IDX,
+                    bm, (LEG_X, ysign * ly, SHAFT_Z), foot, (<span class="n">0.034</span>, <span class="n">0.034</span>), WOOD_IDX,
                 )
             )
             metal.extend(
                 add_box(
                     bm,
-                    (LEG_X + <span class="n">0.02</span>, ysign * (SHAFT_Y + <span class="n">0.035</span>), shoe_z + SHOE_H / <span class="n">2.0</span>),
+                    (foot[<span class="n">0</span>], foot[<span class="n">1</span>], shoe_z + SHOE_H / <span class="n">2.0</span>),
                     (SHOE_XY[<span class="n">0</span>], SHOE_XY[<span class="n">1</span>], SHOE_H),
                     METAL_IDX,
                 )
@@ -815,97 +881,126 @@ <h2>Source</h2>
                 )
             )
 
+        <span class="c"># leg stretcher, its ends on the leg axes at its height</span>
+        ly = shaft_y(LEG_X)
+        f = (SHAFT_Z - LEG_BRACE_Z) / (SHAFT_Z - shoe_top)
+        by = ly + LEG_SPLAY * f
+        bx = LEG_X + <span class="n">0.02</span> * f
         body.extend(
             add_oriented_box(
-                bm,
-                (LEG_X, -SHAFT_Y, <span class="n">0.12</span>),
-                (LEG_X, SHAFT_Y, <span class="n">0.12</span>),
-                (<span class="n">0.028</span>, <span class="n">0.028</span>),
-                WOOD_IDX,
+                bm, (bx, -by, LEG_BRACE_Z), (bx, by, LEG_BRACE_Z), (<span class="n">0.028</span>, <span class="n">0.028</span>), WOOD_IDX,
             )
         )
+        <span class="c"># bearer between the shafts under the tray front, ends buried in the</span>
+        <span class="c"># shafts; the old spreader stood inside the wheel between the forks</span>
+        bx = TRAY_X1 - BEARER_BACK
         body.extend(
             add_oriented_box(
-                bm,
-                (TRAY_X1 + <span class="n">0.04</span>, -FORK_Y, WHEEL_Z + <span class="n">0.02</span>),
-                (TRAY_X1 + <span class="n">0.04</span>, FORK_Y, WHEEL_Z + <span class="n">0.02</span>),
-                (<span class="n">0.024</span>, <span class="n">0.024</span>),
-                WOOD_IDX,
+                bm, (bx, -shaft_y(bx), SHAFT_Z), (bx, shaft_y(bx), SHAFT_Z),
+                (<span class="n">0.030</span>, SHAFT_H * <span class="n">0.8</span>), WOOD_IDX,
             )
         )
 
-        slat_span = TRAY_L
-        slat_w = (slat_span - (N_FLOOR - <span class="n">1</span>) * SLAT_GAP) / N_FLOOR
-        <span class="c"># Slats run under the side walls; walls sit on the floor, not</span>
-        <span class="c"># beside a through-gap at the inner arris.</span>
-        slat_y = TRAY_W + WALL_T
-        <span class="c"># Tray parts whose lowest edges are buried or face the ground: the</span>
-        <span class="c"># wall bottoms sit WALL_SEAT into the floor and the slat undersides</span>
-        <span class="c"># face the shafts. Those edges get no bevel; nobody sees them.</span>
+        <span class="c"># ---- the tray: a hopper between a bottom and a top outline.</span>
+        <span class="c"># Heights are vertical; each wall is the planar band between its</span>
+        <span class="c"># bottom edge and its top edge. --box-tray stands every wall</span>
+        <span class="c"># vertical on the TOP outline, so the envelope stays put.</span>
+        tf, tr, tl = math.tan(FLARE), math.tan(RAKE), math.tan(REAR_LEAN)
+        cf, cr, cl = math.cos(FLARE), math.cos(RAKE), math.cos(REAR_LEAN)
+
+        <span class="k">def</span> side_y(h):
+            <span class="k">return</span> TRAY_YB + (WALL_H <span class="k">if</span> box_tray <span class="k">else</span> h) * tf
+
+        <span class="k">def</span> front_x(h):
+            <span class="k">return</span> TRAY_X1 + (FRONT_H <span class="k">if</span> box_tray <span class="k">else</span> h) * tr
+
+        <span class="k">def</span> rear_x(h):
+            <span class="k">return</span> TRAY_X0 - (REAR_H <span class="k">if</span> box_tray <span class="k">else</span> h) * tl
+
+        <span class="c"># outward horizontal offset of a wall&#x27;s outer face (thickness T</span>
+        <span class="c"># measured along the wall&#x27;s normal)</span>
+        off_s = T <span class="k">if</span> box_tray <span class="k">else</span> T / cf
+        off_f = T <span class="k">if</span> box_tray <span class="k">else</span> T / cr
+        off_r = T <span class="k">if</span> box_tray <span class="k">else</span> T / cl
+
         tray = []
+        <span class="c"># floor: slats across the shafts, under every wall&#x27;s full footprint</span>
+        fx0 = rear_x(<span class="n">0.0</span>) - off_r
+        fx1 = front_x(<span class="n">0.0</span>) + off_f
+        slat_w = (fx1 - fx0 - (N_FLOOR - <span class="n">1</span>) * SLAT_GAP) / N_FLOOR
+        slat_y = <span class="n">2.0</span> * (side_y(<span class="n">0.0</span>) + off_s)
         <span class="k">for</span> i <span class="k">in</span> range(N_FLOOR):
-            x = TRAY_X0 + slat_w / <span class="n">2.0</span> + i * (slat_w + SLAT_GAP)
+            x = fx0 + slat_w / <span class="n">2.0</span> + i * (slat_w + SLAT_GAP)
             tray.extend(
-                add_box(
-                    bm,
-                    (x, <span class="n">0.0</span>, floor_z),
-                    (slat_w, slat_y, FLOOR_T),
-                    WOOD_IDX,
-                )
+                add_box(bm, (x, <span class="n">0.0</span>, floor_z), (slat_w, slat_y, FLOOR_T), WOOD_IDX)
             )
+
         <span class="c"># --wide-seams: the same boards and triangles, seams past the band</span>
         seam_w = WIDE_SEAM <span class="k">if</span> wide_seams <span class="k">else</span> WALL_SEAM
-        <span class="k">for</span> ysign <span class="k">in</span> (-<span class="n">1.0</span>, <span class="n">1.0</span>):
-            tray.extend(
-                add_board_stack(
-                    bm,
-                    (<span class="n">0.5</span> * (TRAY_X0 + TRAY_X1), ysign * (TRAY_W / <span class="n">2.0</span>), wall_z),
-                    (TRAY_L, WALL_T, WALL_H),
-                    WALL_BOARDS, seam_w, WOOD_IDX,
-                )
-            )
-        tray.extend(
-            add_board_stack(
-                bm,
-                (TRAY_X1, <span class="n">0.0</span>, front_z),
-                (WALL_T, TRAY_W + WALL_T, FRONT_H),
-                WALL_BOARDS, seam_w, WOOD_IDX,
-            )
-        )
-        tray.extend(
-            add_box(
-                bm,
-                (TRAY_X0, <span class="n">0.0</span>, rear_z),
-                (WALL_T, TRAY_W + WALL_T, REAR_H),
-                WOOD_IDX,
-            )
-        )
+
+        <span class="k">def</span> bands(height, n):
+            b = (height - (n - <span class="n">1</span>) * seam_w) / n
+            <span class="k">return</span> [(k * (b + seam_w), k * (b + seam_w) + b) <span class="k">for</span> k <span class="k">in</span> range(n)]
+
+        <span class="k">for</span> s <span class="k">in</span> (-<span class="n">1.0</span>, <span class="n">1.0</span>):
+            <span class="c"># side boards run past the end walls&#x27; outer faces (the ends are</span>
+            <span class="c"># housed into them), following the rake and the lean</span>
+            <span class="k">for</span> h0, h1 <span class="k">in</span> bands(WALL_H, WALL_BOARDS):
+                <span class="k">def</span> ring(h, out):
+                    <span class="c"># outer face: the inner point moved T along the normal</span>
+                    ny, nz = (<span class="n">1.0</span>, <span class="n">0.0</span>) <span class="k">if</span> box_tray <span class="k">else</span> (cf, -math.sin(FLARE))
+                    y = s * (side_y(h) + (T * ny <span class="k">if</span> out <span class="k">else</span> <span class="n">0.0</span>))
+                    z = zb + h + (T * nz <span class="k">if</span> out <span class="k">else</span> <span class="n">0.0</span>)
+                    <span class="k">return</span> [
+                        (rear_x(h) - off_r, y, z),
+                        (front_x(h) + off_f, y, z),
+                    ]
+                inner = ring(h0, <span class="k">False</span>) + ring(h1, <span class="k">False</span>)[::-<span class="n">1</span>]
+                outer = ring(h0, <span class="k">True</span>) + ring(h1, <span class="k">True</span>)[::-<span class="n">1</span>]
+                <span class="k">if</span> s &lt; <span class="n">0</span>:
+                    inner, outer = inner[::-<span class="n">1</span>], outer[::-<span class="n">1</span>]
+                tray.extend(add_hex(bm, inner, outer, WOOD_IDX))
+
+        <span class="k">def</span> end_wall(height, n, x_of, off, sign, angle):
+            <span class="s">&quot;&quot;&quot;Front (sign +1) or rear (-1) boards, ends housed half a
+            board into the side walls.&quot;&quot;&quot;</span>
+            <span class="k">for</span> h0, h1 <span class="k">in</span> bands(height, n):
+                <span class="k">def</span> edge(h, out):
+                    nx, nz = (<span class="n">1.0</span>, <span class="n">0.0</span>) <span class="k">if</span> box_tray <span class="k">else</span> (math.cos(angle), -math.sin(angle))
+                    x = x_of(h) + sign * (T * nx <span class="k">if</span> out <span class="k">else</span> <span class="n">0.0</span>)
+                    z = zb + h + (T * nz <span class="k">if</span> out <span class="k">else</span> <span class="n">0.0</span>)
+                    y = side_y(h) + <span class="n">0.5</span> * off_s
+                    <span class="k">return</span> [(x, -y, z), (x, y, z)]
+                inner = edge(h0, <span class="k">False</span>) + edge(h1, <span class="k">False</span>)[::-<span class="n">1</span>]
+                outer = edge(h0, <span class="k">True</span>) + edge(h1, <span class="k">True</span>)[::-<span class="n">1</span>]
+                <span class="k">if</span> sign &lt; <span class="n">0</span>:
+                    inner, outer = inner[::-<span class="n">1</span>], outer[::-<span class="n">1</span>]
+                tray.extend(add_hex(bm, inner, outer, WOOD_IDX))
+
+        end_wall(FRONT_H, WALL_BOARDS, front_x, off_f, <span class="n">1.0</span>, RAKE)
+        end_wall(REAR_H, <span class="n">1</span>, rear_x, off_r, -<span class="n">1.0</span>, REAR_LEAN)
         body.extend(tray)
         tray_set = set(tray)
 
-        strap_r_y = TRAY_W / <span class="n">2.0</span> + WALL_T / <span class="n">2.0</span> + <span class="n">0.004</span>
+        <span class="c"># iron straps: up each side wall&#x27;s outer face from the floor&#x27;s</span>
+        <span class="c"># underside, stopping short of the wall top, joined under the floor</span>
         <span class="k">for</span> sx <span class="k">in</span> (TRAY_X0 + TRAY_L * <span class="n">0.28</span>, TRAY_X0 + TRAY_L * <span class="n">0.72</span>):
-            z0 = SHAFT_Z + SHAFT_H / <span class="n">2.0</span>
-            z1 = z0 + FLOOR_T + WALL_H
-            <span class="k">for</span> ysign <span class="k">in</span> (-<span class="n">1.0</span>, <span class="n">1.0</span>):
-                metal.extend(
-                    add_oriented_box(
-                        bm,
-                        (sx, ysign * strap_r_y, z0),
-                        (sx, ysign * strap_r_y, z1),
-                        (<span class="n">0.018</span>, <span class="n">0.008</span>),
-                        METAL_IDX,
-                    )
-                )
-            metal.extend(
-                add_oriented_box(
-                    bm,
-                    (sx, -strap_r_y, z0),
-                    (sx, strap_r_y, z0),
-                    (<span class="n">0.018</span>, <span class="n">0.008</span>),
-                    METAL_IDX,
-                )
-            )
+            z0 = floor_bot
+            ry = side_y(<span class="n">0.0</span>) + off_s + STRAP_T / <span class="n">2.0</span>
+            <span class="k">for</span> s <span class="k">in</span> (-<span class="n">1.0</span>, <span class="n">1.0</span>):
+                top_h = WALL_H - STRAP_TOP_CLEAR
+                <span class="c"># the outer face at height z is side_y + off_s horizontally</span>
+                ty = side_y(top_h) + off_s + STRAP_T / <span class="n">2.0</span>
+                tz = zb + top_h
+                metal.extend(add_oriented_box(
+                    bm, (sx, s * ry, z0), (sx, s * ry, zb), (<span class="n">0.018</span>, STRAP_T), METAL_IDX,
+                ))
+                metal.extend(add_oriented_box(
+                    bm, (sx, s * ry, zb - <span class="n">0.004</span>), (sx, s * ty, tz), (<span class="n">0.018</span>, STRAP_T), METAL_IDX,
+                ))
+            metal.extend(add_oriented_box(
+                bm, (sx, -ry, z0), (sx, ry, z0), (<span class="n">0.018</span>, STRAP_T), METAL_IDX,
+            ))
 
         <span class="k">if</span> bevel_offset &gt; <span class="n">0.0</span>:
             edges = []
@@ -1172,29 +1267,45 @@ <h2>Source</h2>
     }
 
 
-<span class="k">def</span> tray_size(me):
-    <span class="s">&quot;&quot;&quot;Side-wall pair: length, track, and height of the box they bound.&quot;&quot;&quot;</span>
-    groups = shells(me)
-    walls = []
-    <span class="k">for</span> g <span class="k">in</span> groups:
-        faces = [
-            p <span class="k">for</span> p <span class="k">in</span> me.polygons <span class="k">if</span> all(i <span class="k">in</span> set(g) <span class="k">for</span> i <span class="k">in</span> p.vertices)
-        ]
+<span class="k">def</span> tray_parts(me):
+    <span class="s">&quot;&quot;&quot;Wood shells of the tray, classified: side boards per side, front and
+    rear boards, floor slats. Each entry is (shell vertex indices, AABB).
+
+    A wall board is taller than a slat (dz &gt; 0.05) and within its wall&#x27;s
+    reach of the tray: side boards are long in X and outboard of the floor,
+    end boards are wide in Y and at the tray&#x27;s front or rear.
+    &quot;&quot;&quot;</span>
+    out = {<span class="s">&quot;side&quot;</span>: {-<span class="n">1</span>: [], <span class="n">1</span>: []}, <span class="s">&quot;front&quot;</span>: [], <span class="s">&quot;rear&quot;</span>: [], <span class="s">&quot;floor&quot;</span>: []}
+    <span class="k">for</span> g <span class="k">in</span> shells(me):
+        faces = [p <span class="k">for</span> p <span class="k">in</span> me.polygons <span class="k">if</span> all(i <span class="k">in</span> set(g) <span class="k">for</span> i <span class="k">in</span> p.vertices)]
         <span class="k">if</span> <span class="k">not</span> faces <span class="k">or</span> faces[<span class="n">0</span>].material_index != WOOD_IDX:
             <span class="k">continue</span>
         a = shell_aabb(me, g)
         dx, dy, dz = a[<span class="n">3</span>] - a[<span class="n">0</span>], a[<span class="n">4</span>] - a[<span class="n">1</span>], a[<span class="n">5</span>] - a[<span class="n">2</span>]
-        <span class="k">if</span> abs(dx - TRAY_L) &lt; <span class="n">0.10</span> <span class="k">and</span> dy &lt; <span class="n">0.06</span> <span class="k">and</span> <span class="n">0.05</span> &lt; dz &lt; WALL_H + <span class="n">0.08</span>:
-            walls.append(a)
-    <span class="c"># A side wall is one or more boards: the union of the boards on a side.</span>
+        cx, cy = <span class="n">0.5</span> * (a[<span class="n">0</span>] + a[<span class="n">3</span>]), <span class="n">0.5</span> * (a[<span class="n">1</span>] + a[<span class="n">4</span>])
+        <span class="k">if</span> dz &lt; FLOOR_T * <span class="n">2.2</span> <span class="k">and</span> dy &gt; TRAY_W <span class="k">and</span> a[<span class="n">0</span>] &gt; TRAY_X0 - <span class="n">0.2</span>:
+            out[<span class="s">&quot;floor&quot;</span>].append((g, a))
+        <span class="k">elif</span> dz &lt;= <span class="n">0.05</span> <span class="k">or</span> dz &gt; FRONT_H + <span class="n">0.08</span>:
+            <span class="k">continue</span>
+        <span class="k">elif</span> dx &gt; TRAY_L * <span class="n">0.8</span> <span class="k">and</span> abs(cy) &gt; TRAY_YB * <span class="n">0.9</span> <span class="k">and</span> dy &lt; <span class="n">0.1</span>:
+            out[<span class="s">&quot;side&quot;</span>][<span class="n">1</span> <span class="k">if</span> cy &gt; <span class="n">0.0</span> <span class="k">else</span> -<span class="n">1</span>].append((g, a))
+        <span class="k">elif</span> dy &gt; TRAY_W * <span class="n">0.8</span> <span class="k">and</span> dx &lt; <span class="n">0.2</span> <span class="k">and</span> cx &gt; TRAY_X1 - <span class="n">0.05</span>:
+            out[<span class="s">&quot;front&quot;</span>].append((g, a))
+        <span class="k">elif</span> dy &gt; TRAY_W * <span class="n">0.8</span> <span class="k">and</span> dx &lt; <span class="n">0.2</span> <span class="k">and</span> cx &lt; TRAY_X0 + <span class="n">0.05</span>:
+            out[<span class="s">&quot;rear&quot;</span>].append((g, a))
+    <span class="k">return</span> out
+
+
+<span class="k">def</span> tray_size(me):
+    <span class="s">&quot;&quot;&quot;Side-wall pair: length, track, and height of the hopper they bound.&quot;&quot;&quot;</span>
     sides = {}
-    <span class="k">for</span> a <span class="k">in</span> walls:
-        k = <span class="n">1</span> <span class="k">if</span> a[<span class="n">1</span>] + a[<span class="n">4</span>] &gt; <span class="n">0.0</span> <span class="k">else</span> -<span class="n">1</span>
-        b = sides.get(k)
-        sides[k] = a <span class="k">if</span> b <span class="k">is</span> <span class="k">None</span> <span class="k">else</span> (
-            min(a[<span class="n">0</span>], b[<span class="n">0</span>]), min(a[<span class="n">1</span>], b[<span class="n">1</span>]), min(a[<span class="n">2</span>], b[<span class="n">2</span>]),
-            max(a[<span class="n">3</span>], b[<span class="n">3</span>]), max(a[<span class="n">4</span>], b[<span class="n">4</span>]), max(a[<span class="n">5</span>], b[<span class="n">5</span>]),
-        )
+    <span class="k">for</span> k, boards <span class="k">in</span> tray_parts(me)[<span class="s">&quot;side&quot;</span>].items():
+        <span class="k">for</span> _g, a <span class="k">in</span> boards:
+            b = sides.get(k)
+            sides[k] = a <span class="k">if</span> b <span class="k">is</span> <span class="k">None</span> <span class="k">else</span> (
+                min(a[<span class="n">0</span>], b[<span class="n">0</span>]), min(a[<span class="n">1</span>], b[<span class="n">1</span>]), min(a[<span class="n">2</span>], b[<span class="n">2</span>]),
+                max(a[<span class="n">3</span>], b[<span class="n">3</span>]), max(a[<span class="n">4</span>], b[<span class="n">4</span>]), max(a[<span class="n">5</span>], b[<span class="n">5</span>]),
+            )
     <span class="k">if</span> len(sides) &lt; <span class="n">2</span>:
         <span class="k">return</span> (<span class="n">0.0</span>, <span class="n">0.0</span>, <span class="n">0.0</span>)
     left, right = sides[-<span class="n">1</span>], sides[<span class="n">1</span>]
@@ -1206,59 +1317,110 @@ <h2>Source</h2>
 
 
 <span class="k">def</span> wall_floor_seat(me):
-    <span class="s">&quot;&quot;&quot;How far the side walls drop into the floor shells, metres.
-
-    Recomputed from AABBs. A wall that only kisses the floor top after
-    a bevel reports ~0 and fails the seat floor.
+    <span class="s">&quot;&quot;&quot;How far the walls drop into the floor slats, metres.
+
+    Per board: the floor top minus the lowest vertex on the board&#x27;s INNER
+    face. Of the board&#x27;s two largest faces (inner and outer), the inner one
+    is the one whose centre lies nearer the tray&#x27;s centre in plan; the
+    board&#x27;s vertices on that face&#x27;s plane give the inner bottom edge. A
+    leaning board&#x27;s outer bottom edge sits lower than its inner one, so the
+    board&#x27;s AABB zmin would overstate the seat. The smallest seat over every
+    wall board is returned; a wall that only kisses the floor reports ~0 and
+    fails the seat floor.
     &quot;&quot;&quot;</span>
-    groups = shells(me)
-    floors = []
-    walls = []
-    <span class="k">for</span> g <span class="k">in</span> groups:
-        faces = [
-            p <span class="k">for</span> p <span class="k">in</span> me.polygons <span class="k">if</span> all(i <span class="k">in</span> set(g) <span class="k">for</span> i <span class="k">in</span> p.vertices)
-        ]
-        <span class="k">if</span> <span class="k">not</span> faces <span class="k">or</span> faces[<span class="n">0</span>].material_index != WOOD_IDX:
-            <span class="k">continue</span>
-        a = shell_aabb(me, g)
-        dx, dy, dz = a[<span class="n">3</span>] - a[<span class="n">0</span>], a[<span class="n">4</span>] - a[<span class="n">1</span>], a[<span class="n">5</span>] - a[<span class="n">2</span>]
-        <span class="k">if</span> dz &lt; FLOOR_T * <span class="n">2.2</span> <span class="k">and</span> dy &gt; TRAY_W * <span class="n">0.5</span>:
-            floors.append(a)
-        <span class="k">if</span> abs(dx - TRAY_L) &lt; <span class="n">0.10</span> <span class="k">and</span> dy &lt; WALL_T * <span class="n">4.0</span> <span class="k">and</span> <span class="n">0.05</span> &lt; dz &lt; WALL_H + <span class="n">0.08</span>:
-            walls.append(a)
-    <span class="k">if</span> <span class="k">not</span> floors <span class="k">or</span> <span class="k">not</span> walls:
+    parts = tray_parts(me)
+    <span class="k">if</span> <span class="k">not</span> parts[<span class="s">&quot;floor&quot;</span>]:
         <span class="k">return</span> -<span class="n">1.0</span>
-    floor_top = max(a[<span class="n">5</span>] <span class="k">for</span> a <span class="k">in</span> floors)
-    wall_bot = min(a[<span class="n">2</span>] <span class="k">for</span> a <span class="k">in</span> walls)
-    <span class="k">return</span> floor_top - wall_bot
+    floor_top = max(a[<span class="n">5</span>] <span class="k">for</span> _g, a <span class="k">in</span> parts[<span class="s">&quot;floor&quot;</span>])
+    fx = [a <span class="k">for</span> _g, a <span class="k">in</span> parts[<span class="s">&quot;floor&quot;</span>]]
+    centre = Vector((<span class="n">0.5</span> * (min(a[<span class="n">0</span>] <span class="k">for</span> a <span class="k">in</span> fx) + max(a[<span class="n">3</span>] <span class="k">for</span> a <span class="k">in</span> fx)), <span class="n">0.0</span>))
+
+    <span class="k">def</span> inner_bottom(g):
+        member = set(g)
+        faces = sorted((p <span class="k">for</span> p <span class="k">in</span> me.polygons <span class="k">if</span> all(i <span class="k">in</span> member <span class="k">for</span> i <span class="k">in</span> p.vertices)),
+                       key=<span class="k">lambda</span> p: -p.area)[:<span class="n">2</span>]
+        inner = min(faces, key=<span class="k">lambda</span> p: (p.center.xy - centre).length)
+        <span class="k">return</span> min(me.vertices[i].co.z <span class="k">for</span> i <span class="k">in</span> g
+                   <span class="k">if</span> abs((me.vertices[i].co - inner.center).dot(inner.normal)) &lt; <span class="n">1e-4</span>)
+
+    <span class="c"># each wall seats on its lowest board; the boards above it stack on it</span>
+    walls = [parts[<span class="s">&quot;side&quot;</span>][-<span class="n">1</span>], parts[<span class="s">&quot;side&quot;</span>][<span class="n">1</span>], parts[<span class="s">&quot;front&quot;</span>], parts[<span class="s">&quot;rear&quot;</span>]]
+    seats = [floor_top - min(inner_bottom(g) <span class="k">for</span> g, _a <span class="k">in</span> w) <span class="k">for</span> w <span class="k">in</span> walls <span class="k">if</span> w]
+    <span class="k">return</span> min(seats) <span class="k">if</span> seats <span class="k">else</span> -<span class="n">1.0</span>
 
 
 <span class="k">def</span> wall_boards(me):
     <span class="s">&quot;&quot;&quot;Boards per side wall and in the front wall, and the seams between them.
 
-    Side boards are long in X and thin in Y; front boards are thin in X,
-    wide in Y and the ones nearer the wheel (the rear wall is one low
-    board). Seams are the gaps between vertically adjacent boards.
+    Seams are measured in each wall&#x27;s own plane, along the direction that
+    runs up the wall, taken from the boards&#x27; own largest face: the gap
+    between one board&#x27;s top and the next one&#x27;s bottom. An AABB seam in Z
+    would read negative on a leaning board, because its outer face sits
+    lower than its inner one.
     &quot;&quot;&quot;</span>
-    sides = {-<span class="n">1</span>: [], <span class="n">1</span>: []}
-    ends = []
+    parts = tray_parts(me)
+
+    <span class="k">def</span> up_of(boards, along):
+        <span class="k">if</span> <span class="k">not</span> boards:
+            <span class="k">return</span> Vector((<span class="n">0.0</span>, <span class="n">0.0</span>, <span class="n">1.0</span>))
+        member = set(boards[<span class="n">0</span>][<span class="n">0</span>])
+        big = max((p <span class="k">for</span> p <span class="k">in</span> me.polygons <span class="k">if</span> all(i <span class="k">in</span> member <span class="k">for</span> i <span class="k">in</span> p.vertices)),
+                  key=<span class="k">lambda</span> p: p.area)
+        u = big.normal.cross(along).normalized()
+        <span class="k">return</span> u <span class="k">if</span> u.z &gt; <span class="n">0.0</span> <span class="k">else</span> -u
+
+    stacks = [(b, up_of(b, Vector(ax))) <span class="k">for</span> b, ax <span class="k">in</span> (
+        (parts[<span class="s">&quot;side&quot;</span>][-<span class="n">1</span>], (<span class="n">1.0</span>, <span class="n">0.0</span>, <span class="n">0.0</span>)), (parts[<span class="s">&quot;side&quot;</span>][<span class="n">1</span>], (<span class="n">1.0</span>, <span class="n">0.0</span>, <span class="n">0.0</span>)),
+        (parts[<span class="s">&quot;front&quot;</span>], (<span class="n">0.0</span>, <span class="n">1.0</span>, <span class="n">0.0</span>)))]
+    seams = []
+    <span class="k">for</span> boards, u <span class="k">in</span> stacks:
+        spans = sorted(
+            (min(me.vertices[i].co.dot(u) <span class="k">for</span> i <span class="k">in</span> g),
+             max(me.vertices[i].co.dot(u) <span class="k">for</span> i <span class="k">in</span> g))
+            <span class="k">for</span> g, _a <span class="k">in</span> boards
+        )
+        seams.extend(b[<span class="n">0</span>] - a[<span class="n">1</span>] <span class="k">for</span> a, b <span class="k">in</span> zip(spans, spans[<span class="n">1</span>:]))
+    <span class="k">return</span> len(parts[<span class="s">&quot;side&quot;</span>][-<span class="n">1</span>]), len(parts[<span class="s">&quot;side&quot;</span>][<span class="n">1</span>]), len(parts[<span class="s">&quot;front&quot;</span>]), seams
+
+
+<span class="k">def</span> tray_flare(me):
+    <span class="s">&quot;&quot;&quot;(side flare, front rake) in degrees, from the boards&#x27; own faces.
+
+    For each side board, the largest face whose normal points mostly
+    outward in Y; the flare is how far that normal dips below horizontal.
+    The same for front boards along X. A box tray measures 0 and 0.
+    &quot;&quot;&quot;</span>
+    parts = tray_parts(me)
+
+    <span class="k">def</span> lean(boards, axis):
+        out = []
+        <span class="k">for</span> g, _a <span class="k">in</span> boards:
+            member = set(g)
+            faces = [p <span class="k">for</span> p <span class="k">in</span> me.polygons
+                     <span class="k">if</span> all(i <span class="k">in</span> member <span class="k">for</span> i <span class="k">in</span> p.vertices) <span class="k">and</span> abs(p.normal[axis]) &gt; <span class="n">0.5</span>]
+            <span class="k">if</span> faces:
+                n = max(faces, key=<span class="k">lambda</span> p: p.area).normal
+                out.append(math.degrees(math.asin(min(<span class="n">1.0</span>, abs(n.z)))))
+        <span class="k">return</span> min(out) <span class="k">if</span> out <span class="k">else</span> <span class="n">0.0</span>
+
+    <span class="k">return</span> (lean(parts[<span class="s">&quot;side&quot;</span>][-<span class="n">1</span>] + parts[<span class="s">&quot;side&quot;</span>][<span class="n">1</span>], <span class="n">1</span>), lean(parts[<span class="s">&quot;front&quot;</span>], <span class="n">0</span>))
+
+
+<span class="k">def</span> shaft_runs(me):
+    <span class="s">&quot;&quot;&quot;Wood shells that run unbroken from behind the tray to beyond its front.
+
+    A barrow&#x27;s two shafts are single timbers from grip to axle; built as
+    handle, level run and fork, no one shell spans the tray and this is 0.
+    &quot;&quot;&quot;</span>
+    n = <span class="n">0</span>
     <span class="k">for</span> g <span class="k">in</span> shells(me):
         faces = [p <span class="k">for</span> p <span class="k">in</span> me.polygons <span class="k">if</span> all(i <span class="k">in</span> set(g) <span class="k">for</span> i <span class="k">in</span> p.vertices)]
         <span class="k">if</span> <span class="k">not</span> faces <span class="k">or</span> faces[<span class="n">0</span>].material_index != WOOD_IDX:
             <span class="k">continue</span>
         a = shell_aabb(me, g)
-        dx, dy, dz = a[<span class="n">3</span>] - a[<span class="n">0</span>], a[<span class="n">4</span>] - a[<span class="n">1</span>], a[<span class="n">5</span>] - a[<span class="n">2</span>]
-        <span class="k">if</span> abs(dx - TRAY_L) &lt; <span class="n">0.10</span> <span class="k">and</span> dy &lt; <span class="n">0.06</span> <span class="k">and</span> <span class="n">0.05</span> &lt; dz &lt; WALL_H + <span class="n">0.08</span>:
-            sides[<span class="n">1</span> <span class="k">if</span> a[<span class="n">1</span>] + a[<span class="n">4</span>] &gt; <span class="n">0.0</span> <span class="k">else</span> -<span class="n">1</span>].append(a)
-        <span class="k">elif</span> dx &lt; <span class="n">0.06</span> <span class="k">and</span> dy &gt; TRAY_W * <span class="n">0.6</span> <span class="k">and</span> dz &gt; <span class="n">0.05</span>:
-            ends.append(a)
-    front_x = max((<span class="n">0.5</span> * (a[<span class="n">0</span>] + a[<span class="n">3</span>]) <span class="k">for</span> a <span class="k">in</span> ends), default=<span class="n">0.0</span>)
-    front = [a <span class="k">for</span> a <span class="k">in</span> ends <span class="k">if</span> abs(<span class="n">0.5</span> * (a[<span class="n">0</span>] + a[<span class="n">3</span>]) - front_x) &lt; <span class="n">0.01</span>]
-    seams = []
-    <span class="k">for</span> stack <span class="k">in</span> (sides[-<span class="n">1</span>], sides[<span class="n">1</span>], front):
-        stack = sorted(stack, key=<span class="k">lambda</span> a: a[<span class="n">2</span>])
-        seams.extend(b[<span class="n">2</span>] - a[<span class="n">5</span>] <span class="k">for</span> a, b <span class="k">in</span> zip(stack, stack[<span class="n">1</span>:]))
-    <span class="k">return</span> len(sides[-<span class="n">1</span>]), len(sides[<span class="n">1</span>]), len(front), seams
+        <span class="k">if</span> a[<span class="n">0</span>] &lt; TRAY_X0 - <span class="n">0.2</span> <span class="k">and</span> a[<span class="n">3</span>] &gt; TRAY_X1 + <span class="n">0.1</span>:
+            n += <span class="n">1</span>
+    <span class="k">return</span> n
 
 
 <span class="k">def</span> _long_axis(pts):
@@ -1382,33 +1544,6 @@ <h2>Source</h2>
     <span class="k">return</span> wood, metal
 
 
-<span class="k">def</span> handle_join_gap(me):
-    <span class="s">&quot;&quot;&quot;Daylight between the handle sticks and the tray rear.
-
-    Handles are the wood shells whose xmax is behind the tray; the tray
-    rear is the wood shell with the smallest xmax among tall-wide parts.
-    &quot;&quot;&quot;</span>
-    groups = shells(me)
-    wood = []
-    <span class="k">for</span> g <span class="k">in</span> groups:
-        faces = [
-            p <span class="k">for</span> p <span class="k">in</span> me.polygons <span class="k">if</span> all(i <span class="k">in</span> set(g) <span class="k">for</span> i <span class="k">in</span> p.vertices)
-        ]
-        <span class="k">if</span> <span class="k">not</span> faces <span class="k">or</span> faces[<span class="n">0</span>].material_index != WOOD_IDX:
-            <span class="k">continue</span>
-        wood.append(shell_aabb(me, g))
-    <span class="k">if</span> <span class="k">not</span> wood:
-        <span class="k">return</span> <span class="n">99.0</span>
-    xmin = min(a[<span class="n">0</span>] <span class="k">for</span> a <span class="k">in</span> wood)
-    handles = [a <span class="k">for</span> a <span class="k">in</span> wood <span class="k">if</span> a[<span class="n">0</span>] &lt; xmin + <span class="n">0.08</span>]
-    trayish = [a <span class="k">for</span> a <span class="k">in</span> wood <span class="k">if</span> (a[<span class="n">4</span>] - a[<span class="n">1</span>]) &gt; TRAY_W * <span class="n">0.6</span>]
-    <span class="k">if</span> <span class="k">not</span> handles <span class="k">or</span> <span class="k">not</span> trayish:
-        <span class="k">return</span> <span class="n">99.0</span>
-    tray_x0 = min(a[<span class="n">0</span>] <span class="k">for</span> a <span class="k">in</span> trayish)
-    handle_x1 = max(a[<span class="n">3</span>] <span class="k">for</span> a <span class="k">in</span> handles)
-    <span class="k">return</span> tray_x0 - handle_x1
-
-
 <span class="k">def</span> spoke_clearance(me):
     <span class="s">&quot;&quot;&quot;Hub diameter minus fattest spoke thickness.
 
@@ -1612,13 +1747,13 @@ <h2>Source</h2>
 <span class="k">def</span> check(
     skip_decimate, lift_z=<span class="k">False</span>, stray_vert=<span class="k">False</span>,
     fat_spokes=<span class="k">False</span>, pipe_rim=<span class="k">False</span>, short_legs=<span class="k">False</span>, float_walls=<span class="k">False</span>,
-    wide_seams=<span class="k">False</span>,
+    wide_seams=<span class="k">False</span>, split_shafts=<span class="k">False</span>, box_tray=<span class="k">False</span>,
 ):
     bpy.ops.wm.read_factory_settings(use_empty=<span class="k">True</span>)
     flags = dict(
         pipe_rim=pipe_rim, fat_spokes=fat_spokes,
         short_legs=short_legs, float_walls=float_walls,
-        wide_seams=wide_seams,
+        wide_seams=wide_seams, split_shafts=split_shafts, box_tray=box_tray,
     )
     low = build_barrow_mesh(<span class="s">&quot;BarrowLow&quot;</span>, <span class="n">0.004</span>, <span class="n">2</span>, **flags)
     high = build_barrow_mesh(<span class="s">&quot;BarrowHigh&quot;</span>, <span class="n">0.004</span>, <span class="n">4</span>, **flags)
@@ -1687,7 +1822,8 @@ <h2>Source</h2>
     zf = zfight_pairs(low.data)
     sup = support_audit(low.data)
     tsz = tray_size(low.data)
-    hgap = handle_join_gap(low.data)
+    runs = shaft_runs(low.data)
+    flare, rake = tray_flare(low.data)
     sclear = spoke_clearance(low.data)
     aspect = tread_aspect(low.data)
     gap_mw = min_mat_distance(low.data, METAL_IDX, WOOD_IDX)
@@ -1722,7 +1858,7 @@ <h2>Source</h2>
     )
     print(
         <span class="s">f&quot;</span><span class="s">measured tray=(</span>{tsz[<span class="n">0</span>]:<span class="s">.4f</span>}<span class="s">,</span>{tsz[<span class="n">1</span>]:<span class="s">.4f</span>}<span class="s">,</span>{tsz[<span class="n">2</span>]:<span class="s">.4f</span>}<span class="s">) </span><span class="s">&quot;</span>
-        <span class="s">f&quot;</span><span class="s">handle_gap=</span>{hgap:<span class="s">.5f</span>}<span class="s"> spoke_clear=</span>{sclear:<span class="s">.5f</span>}<span class="s"> </span><span class="s">&quot;</span>
+        <span class="s">f&quot;</span><span class="s">shaft_runs=</span>{runs}<span class="s"> flare=</span>{flare:<span class="s">.2f</span>}<span class="s"> rake=</span>{rake:<span class="s">.2f</span>}<span class="s"> spoke_clear=</span>{sclear:<span class="s">.5f</span>}<span class="s"> </span><span class="s">&quot;</span>
         <span class="s">f&quot;</span><span class="s">tread_aspect=</span>{aspect:<span class="s">.3f</span>}<span class="s"> gap_metal_wood=</span>{gap_mw:<span class="s">.5f</span>}<span class="s"> </span><span class="s">&quot;</span>
         <span class="s">f&quot;</span><span class="s">wall_floor_seat=</span>{seat:<span class="s">.5f</span>}<span class="s">&quot;</span>
     )
@@ -1832,11 +1968,6 @@ <h2>Source</h2>
             <span class="s">&quot;(--fat-spokes is the designed fail)&quot;</span>,
             <span class="n">17</span>,
         ), <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>
-    <span class="k">if</span> hgap &gt; HANDLE_JOIN:
-        <span class="k">return</span> fail(
-            <span class="s">f&quot;</span><span class="s">handle-tray gap </span>{hgap:<span class="s">.5f</span>}<span class="s"> &gt; </span>{HANDLE_JOIN}<span class="s">&quot;</span>,
-            <span class="n">17</span>,
-        ), <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>
     <span class="k">if</span> seat &lt; WALL_SEAT_MIN:
         <span class="k">return</span> fail(
             <span class="s">f&quot;</span><span class="s">wall-floor seat </span>{seat:<span class="s">.5f</span>}<span class="s"> &lt; </span>{WALL_SEAT_MIN}<span class="s"> </span><span class="s">&quot;</span>
@@ -1867,6 +1998,19 @@ <h2>Source</h2>
             <span class="s">&quot;(--pipe-rim is the designed fail)&quot;</span>,
             <span class="n">18</span>,
         ), <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>
+    <span class="k">if</span> runs != <span class="n">2</span>:
+        <span class="k">return</span> fail(
+            <span class="s">f&quot;</span>{runs}<span class="s"> shafts run unbroken from behind the tray past its front, </span><span class="s">&quot;</span>
+            <span class="s">&quot;need 2 (--split-shafts is the designed fail)&quot;</span>,
+            <span class="n">20</span>,
+        ), <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>
+    <span class="k">if</span> flare &lt; math.degrees(FLARE_MIN) <span class="k">or</span> rake &lt; math.degrees(RAKE_MIN):
+        <span class="k">return</span> fail(
+            <span class="s">f&quot;</span><span class="s">tray flare </span>{flare:<span class="s">.2f</span>}<span class="s"> deg / rake </span>{rake:<span class="s">.2f</span>}<span class="s"> deg under </span><span class="s">&quot;</span>
+            <span class="s">f&quot;</span>{math.degrees(FLARE_MIN):<span class="s">.0f</span>}<span class="s"> / </span>{math.degrees(RAKE_MIN):<span class="s">.0f</span>}<span class="s"> </span><span class="s">&quot;</span>
+            <span class="s">&quot;(--box-tray is the designed fail)&quot;</span>,
+            <span class="n">21</span>,
+        ), <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>, <span class="k">None</span>
     <span class="k">if</span> (
         abs(tsz[<span class="n">0</span>] - TRAY_SIZE[<span class="n">0</span>]) &gt; TRAY_SIZE_TOL[<span class="n">0</span>]
         <span class="k">or</span> abs(tsz[<span class="n">1</span>] - TRAY_SIZE[<span class="n">1</span>]) &gt; TRAY_SIZE_TOL[<span class="n">1</span>]
@@ -2030,6 +2174,16 @@ <h2>Source</h2>
         action=<span class="s">&quot;store_true&quot;</span>,
         help=<span class="s">&quot;falsification: 8 mm seams between wall boards&quot;</span>,
     )
+    p.add_argument(
+        <span class="s">&quot;--split-shafts&quot;</span>,
+        action=<span class="s">&quot;store_true&quot;</span>,
+        help=<span class="s">&quot;falsification: each shaft as handle, level run and fork, three shells&quot;</span>,
+    )
+    p.add_argument(
+        <span class="s">&quot;--box-tray&quot;</span>,
+        action=<span class="s">&quot;store_true&quot;</span>,
+        help=<span class="s">&quot;falsification: vertical tray walls on the same top outline&quot;</span>,
+    )
     args = p.parse_args(argv)
 
     code, low, _high, wood, tex, _col = check(
@@ -2041,6 +2195,8 @@ <h2>Source</h2>
         short_legs=args.short_legs,
         float_walls=args.float_walls,
         wide_seams=args.wide_seams,
+        split_shafts=args.split_shafts,
+        box_tray=args.box_tray,
     )
     <span class="k">if</span> code:
         <span class="k">return</span> code
@@ -2065,7 +2221,7 @@ <h2>Source</h2>
   </main>
   <dialog class="lightbox" id="lightbox" aria-label="Full-size render">
     <button class="lightbox-close" type="button" autofocus>Close</button>
-    <img src="../assets/wheelbarrow-hero.webp" alt="A wooden wheelbarrow whose tray walls are stacked boards held by iron straps, with a spoked front wheel and two long handles." />
+    <img src="../assets/wheelbarrow-hero.webp" alt="A wooden wheelbarrow with a flared tray of stacked boards held by iron straps, its front raked out over a spoked wheel, and two long shafts running from the handles under the tray to the axle." />
   </dialog>
   <footer>
     <div class="statusbar">
diff --git a/showcase/gallery.json b/showcase/gallery.json
index 73873e7a..b31f8efa 100644
--- a/showcase/gallery.json
+++ b/showcase/gallery.json
@@ -169,8 +169,8 @@
       "name": "wheelbarrow",
       "dir": "showcase/wheelbarrow",
       "teaches": "A procedural wooden wheelbarrow through UVs, bake, LOD, collider, and Unity glTF, asserting recomputed budgets rather than an API contract.",
-      "alt": "A wooden wheelbarrow whose tray walls are stacked boards held by iron straps, with a spoked front wheel and two long handles.",
-      "witnessesFix": "Recomputed: 2536 tris, two materials with 1157 wood and 190 metal faces, UVs in 0..1 with zero AABB overlap, outer AABB 1.556×0.630×0.572 m, zmin 0, hygiene 0, wall-floor seat 12 mm, spoke clearance 40 mm, two boards per side and front wall with 2 mm seams, LOD ratios in band (5.2 COLLAPSE leaner on LOD2), convex collider 90 tris, non-empty glTF. --skip-decimate exits 9 on LOD1; --stray-vert exits 15 on hygiene; --lift-z / --short-legs exit 16 on grounded; --fat-spokes / --float-walls / --wide-seams exit 17 on joint fit; --pipe-rim exits 18 on tread aspect.",
+      "alt": "A wooden wheelbarrow with a flared tray of stacked boards held by iron straps, its front raked out over a spoked wheel, and two long shafts running from the handles under the tray to the axle.",
+      "witnessesFix": "Recomputed: 2440 tris, two materials with 1085 wood and 214 metal faces, UVs in 0..1 with zero AABB overlap, outer AABB 1.563x0.594x0.577 m, zmin 0, hygiene 0, both shafts one timber from grip to axle, tray flared 15 deg and raked 30 deg, wall-floor seat 8 mm, spoke clearance 52 mm, two boards per side and front wall with 2 mm seams measured in the wall's plane, LOD ratios in band (5.2 COLLAPSE leaner on LOD2), convex collider 80 tris, non-empty glTF. --skip-decimate exits 9 on LOD1; --stray-vert exits 15 on hygiene; --lift-z / --short-legs exit 16 on grounded; --fat-spokes / --float-walls / --wide-seams exit 17 on joint fit; --pipe-rim exits 18 on tread aspect; --split-shafts exits 20 on shaft runs; --box-tray exits 21 on tray flare.",
       "hero": "docs/gallery/assets/wheelbarrow-hero.webp",
       "preview": "showcase/wheelbarrow/preview.webp",
       "tags": [
diff --git a/showcase/wheelbarrow/README.md b/showcase/wheelbarrow/README.md
index 1f6bcffa..54aa5a9d 100644
--- a/showcase/wheelbarrow/README.md
+++ b/showcase/wheelbarrow/README.md
@@ -1,15 +1,15 @@
 # Wheelbarrow
 
 A showcase piece, not an example. Procedural wooden wheelbarrow (two
-chassis shafts that are the handles, box tray with overlapping floor
-slats and walls of stacked boards, iron straps, single flat-tread spoked wheel, rear legs) then the
-shipped pipeline: unique-cell UVs, Cycles high-to-low normal bake, LOD
-chain, convex collider, Unity glTF export.
+shafts that are the handles, each one timber from grip to axle; a
+flared hopper tray with overlapping floor slats and walls of stacked
+boards; iron straps; a single flat-tread spoked wheel; rear legs) then
+the shipped pipeline: unique-cell UVs, Cycles high-to-low normal bake,
+LOD chain, convex collider, Unity glTF export.
 
 The tray walls seat into the floor rather than sitting on top of it, so
-a wood bevel cannot open daylight at the joint. Handles are thinner in
-Y than the chassis they tenon into. The tyre is a flat felloe wrap, not
-a torus.
+a wood bevel cannot open daylight at the joint. The tyre is a flat
+felloe wrap, not a torus.
 
 It asserts **budget conformance** of the generated result. It does not
 witness an API contract. "It rendered without error" is not a check.
@@ -20,6 +20,10 @@ witness an API contract. "It rendered without error" is not a check.
 `lod_chain.py` / `decimate_to_budget.py`, `convex_hull_collider.py`,
 `export_preset_unity.py` (helpers copied, not imported as a package).
 
+Intended size: a 1.56 m long barrow, 0.59 m across the tray top, 0.58 m
+to the top of the raked front board; the tray is 0.94 m long at its top
+edge and 0.22 m deep.
+
 ## Budgets
 
 Declared as named constants; every gate **recomputes** from the mesh,
@@ -27,14 +31,14 @@ materials, UVs, evaluated LOD, collider, or export file.
 
 | Axis | Declared | Measured (4.5.11 / 5.1.2 / 5.2.1) |
 | --- | --- | --- |
-| Base triangles | 2300–2800 | 2536 / 2536 / 2536 |
+| Base triangles | 2300–2800 | 2440 / 2440 / 2440 |
 | LOD1 ratio | 0.32–0.62 of base | 0.5000 / 0.5000 / 0.5000 |
-| LOD2 ratio | 0.10–0.35 of base | 0.2192 / 0.2192 / 0.2098 |
-| Materials | exactly 2 distinct; ≥700 wood, ≥180 metal faces | 2 slots; 1157 / 190 |
+| LOD2 ratio | 0.10–0.35 of base | 0.2197 / 0.2197 / 0.2057 |
+| Materials | exactly 2 distinct; ≥700 wood, ≥180 metal faces | 2 slots; 1085 / 214 |
 | UVs | in `0..1`, AABB overlap ≤ 1e-5 | in range, overlap 0 |
-| Outer AABB | (1.558, 0.630, 0.574) m ± 0.015 | (1.5556, 0.6300, 0.5720), zmin 0 |
-| Collider tris | ≤ 220 | 90 |
-| Export | written, size > 0 | 193036 / 193036 / 193020 bytes |
+| Outer AABB | (1.563, 0.594, 0.577) m ± 0.015 | (1.5630, 0.5938, 0.5773), zmin 0 |
+| Collider tris | ≤ 220 | 80 |
+| Export | written, size > 0 | 185652 / 185652 / 185636 bytes |
 
 ### Hygiene
 
@@ -50,18 +54,24 @@ Recomputed from the generated mesh, not asserted about the script.
 | Coplanar disjoint face pairs | 0 | 0 |
 | Grounded: `zmin` | within 1e-4 of 0 | 0.0000 |
 | Named supports: 2 shoes + tyre | each `zmin` ≤ 1e-3 | shoe_z 0.00000, tyre_z 0.00000 |
-| Tray size | (0.720, 0.532, 0.220) m ± 0.02 | (0.7200, 0.5320, 0.2200) |
+| Tray size | (0.939, 0.578, 0.225) m ± 0.02 | (0.9393, 0.5783, 0.2247) |
 
 ### Joint fit and seat
 
 | Axis | Declared | Measured (all three) |
 | --- | --- | --- |
-| Spoke clearance (hub − spoke) | ≥ 0.010 m | 0.04000 |
-| Handle-tray overlap | gap ≤ 0.020 m | −0.07062 |
-| Wall-floor seat | ≥ 0.005 m | 0.01200 |
+| Spoke clearance (hub − spoke) | ≥ 0.010 m | 0.05210 |
+| Wall-floor seat (inner bottom edge, lowest board of each wall) | ≥ 0.005 m | 0.00800 |
 | Metal-wood BVH gap | ≤ 0.010 m | 0.00000 |
 | Tread aspect (tyre width / radial) | ≥ 2.5 | 5.111 |
-| **Wall boards** | 2 boards per side wall and in the front wall; every seam 0.001–0.004 m | 2 / 2 / 2; 0.00200 |
+| **Wall boards** | 2 boards per side wall and in the front wall; every seam 0.001–0.004 m, measured up the wall's own plane | 2 / 2 / 2; 0.00207–0.00231 |
+
+### Form
+
+| Axis | Declared | Measured (all three) |
+| --- | --- | --- |
+| **Shaft runs**: wood shells unbroken from behind the tray to past its front | exactly 2 | 2 |
+| **Tray flare / rake**, from the boards' own faces | side ≥ 10°, front ≥ 20° | 15.00° / 30.00° |
 
 DECIMATE COLLAPSE triangle counts are **not** identical across series,
 so LOD2 ratios differ slightly. The gate is a ratio band, not an exact
@@ -72,28 +82,56 @@ sorted by edge index, so the face order is the same on every run; a
 Python set of edges handed to the bevel had made it vary. Export byte counts differ on 5.2.1
 (glTF serializer), not a gated axis.
 
+### Why the frame is two timbers and the tray a hopper
+
+The second pass found the barrow read as a crate on legs. The frame was
+three boxes per side: a handle that stopped at the tray's rear corner, a
+level run hidden exactly under the side wall (both at 0.255 m from the
+centreline), and a fork that started at the front corner and turned
+in a 50° V to the hub. From outside, the tray carried everything. The
+tray itself was a square box, and a spreader between the forks stood
+inside the wheel, touching neither fork. The iron straps ran 12 mm above
+the wall tops.
+
+- **Shafts.** Each shaft is one mitred sweep through the grip, the tray's
+  rear, its front and the axle. It narrows in plan the whole way (0.27 m
+  at the grips, 0.19 and 0.15 m under the tray, 0.038 m at the hub), so
+  it shows under the tray and reads as one piece of wood. The legs and a
+  stretcher hang from it, and a bearer under the tray front, its ends
+  buried in the shafts, replaces the spreader.
+- **Hopper.** The tray is built from a bottom outline and a top outline:
+  sides flared 15°, the front raked 30° out over the wheel for tipping,
+  the low rear leaning back 12°. Each wall is the planar band between
+  its bottom and top edges; the end boards are housed half a board into
+  the sides, and the sides run past the ends' outer faces.
+- **Measured in the wall's plane.** A leaning board's outer face sits
+  lower than its inner one, so AABB tests lie: a Z seam reads negative
+  and a zmin seat reads deep. Seams are measured along each wall's own
+  up direction, and the seat on each wall's lowest board's inner face,
+  both taken from the boards' own faces.
+- **Straps** follow the flared wall and stop 10 mm below its top.
+
+`WALL_SEAT` went from 12 mm to 8 mm: a raked board's outer bottom edge
+sits `WALL_T·sin(RAKE)` below its inner one, and at 12 mm it would have
+broken through the underside of the 22 mm floor. The handle-join budget
+is gone, because the handle no longer joins anything: it is the shaft.
+The shaft-run budget replaces it. Base triangles went from 2536 to 2440,
+and the collider from 90 to 80.
+
 ### Walls, wood and iron
 
-Each tray wall was one plain slab beside a floor of planks, and every
-piece was one flat tone. Side and front walls are now two boards
-stacked with a 2 mm seam, held by the existing straps; the low rear
-wall stays one board. `tray_size` and `wall_floor_seat` now take a side
-wall as the union of its boards. **Wall boards** asserts the count and
-the seam; `--wide-seams` opens the seams to 8 mm (same boards, same
-triangles) and exits 17.
-
-The extra boards cost 324 triangles, which would have broken the
-2800 ceiling. They are paid for with faces nobody sees: wall bottoms
-buried in the floor and slat undersides no longer get a bevel (faces
-beveled on some edges come out n-gons and are split, at the same
-triangle count). Base triangles went from 2500 to 2536. Wood has a tone
-and grain per board and shaft; the iron is dark and rusted instead of
-glossy black. The temp `.glb` is removed after its size is measured.
+Side and front walls are two boards stacked with a 2 mm seam, held by
+the straps; the low rear wall stays one board. **Wall boards** asserts
+the count and the seam; `--wide-seams` opens the seams to 8 mm (same
+boards, same triangles) and exits 17. Faces nobody sees get no bevel:
+wall bottoms buried in the floor and slat undersides. Wood has a tone
+and grain per board and shaft; the iron is dark and rusted. The temp
+`.glb` is removed after its size is measured.
 
 ### Falsifiers
 
-Each violates one named budget. All nine were run on 4.5.11, 5.1.2 and
-5.2.1 and returned the same code on each.
+Each violates one named budget. All eleven were run on 4.5.11, 5.1.2
+and 5.2.1 and returned the same code on each.
 
 | Flag | Budget violated | Exit |
 | --- | --- | --- |
@@ -102,9 +140,15 @@ Each violates one named budget. All nine were run on 4.5.11, 5.1.2 and
 | `--lift-z` | bounding box `zmin` is 0 | 16 |
 | `--short-legs` | named shoe supports at Z=0 | 16 |
 | `--fat-spokes` | spoke clearance inside the hub | 17 |
-| `--float-walls` | wall-floor seat | 17 |
+| `--float-walls` | wall-floor seat (measures −0.00691 m) | 17 |
 | `--pipe-rim` | tread aspect (torus on a flat felloe) | 18 |
 | `--wide-seams` | wall boards (seam band) | 17 |
+| `--split-shafts` | two unbroken shaft runs (measures 0) | 20 |
+| `--box-tray` | tray flare / rake (measures 0° / 0°) | 21 |
+
+`--box-tray` stands every wall vertical on the flared tray's top
+outline, so the envelope and the tray-size budget stay put and only the
+flare gate can fail.
 
 ## Run
 
@@ -118,6 +162,8 @@ blender --background --python wheelbarrow.py -- --fat-spokes
 blender --background --python wheelbarrow.py -- --float-walls
 blender --background --python wheelbarrow.py -- --pipe-rim
 blender --background --python wheelbarrow.py -- --wide-seams
+blender --background --python wheelbarrow.py -- --split-shafts
+blender --background --python wheelbarrow.py -- --box-tray
 blender --background --python wheelbarrow.py -- --output barrow.png
 ```
 
@@ -148,6 +194,8 @@ hygiene and joint-fit family.
 | 14 | `--output` produced no file |
 | 15 | Mesh hygiene: loose, non-manifold, zero-area, doubles, n-gons, z-fight |
 | 16 | Not grounded: bounding box `zmin` off 0, or a named shoe/tyre floats |
-| 17 | Joint fit: spoke clearance, handle join, wall-floor seat, metal-wood gap, or wall boards and seams |
+| 17 | Joint fit: spoke clearance, wall-floor seat, metal-wood gap, or wall boards and seams |
 | 18 | Seat: tread aspect of the tyre |
 | 19 | Tray size off the stated real-world dimensions |
+| 20 | A shaft is not one timber from grip to axle (`--split-shafts`) |
+| 21 | Tray flare or front rake under its floor (`--box-tray`) |
diff --git a/showcase/wheelbarrow/preview.webp b/showcase/wheelbarrow/preview.webp
index ef2547eb7018b7bd39f08c0f48651d55bc180fe3..554b679383bc0b914ba0961a912dcaf0c1795ddb 100644
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diff --git a/showcase/wheelbarrow/wheelbarrow.py b/showcase/wheelbarrow/wheelbarrow.py
index a63162e2..dc2faecb 100644
--- a/showcase/wheelbarrow/wheelbarrow.py
+++ b/showcase/wheelbarrow/wheelbarrow.py
@@ -1,7 +1,8 @@
 """Game-ready wooden wheelbarrow — a showcase piece, not an example.
 
-Asserts budget conformance of a procedural wheelbarrow (two chassis
-shafts, box tray, flat-tread spoked wheel, rear legs) after composing
+Asserts budget conformance of a procedural wheelbarrow (two shafts, each
+one timber from grip to axle; a flared hopper tray; a flat-tread spoked
+wheel; rear legs) after composing
 shipped pipeline pieces: bmesh construction, UVs, two materials,
 high-to-low normal bake, LOD chain, convex collider, Unity glTF export.
 
@@ -16,7 +17,9 @@
 so the tread-aspect seat budget fails. ``--float-walls`` lifts the
 tray walls off the floor so the wall-floor seat budget fails.
 ``--wide-seams`` opens the seams between wall boards to 8 mm so the
-wall-board budget fails.
+wall-board budget fails. ``--split-shafts`` builds each shaft as three
+boxes so the shaft-run budget fails. ``--box-tray`` stands the tray walls
+vertical on the same top outline so the flare budget fails.
 
 Construction is closed-form; the only RNG is the seeded per-board wood
 tone. DECIMATE COLLAPSE triangle counts
@@ -63,9 +66,16 @@
 WHEEL_Z = RIM_MAJOR + RIM_RADIAL + TYRE_T
 RIM_MINOR_PIPE = 0.020
 
-# Chassis shafts are the handles. They run under the tray, then converge
-# into forks at the axle. Tray, legs, and wheel all hang off this frame.
-SHAFT_Y = 0.255
+# Chassis shafts are the handles. Each is ONE timber swept from the grip,
+# under the tray, to the axle: it runs level under the tray and narrows
+# gently in plan all the way (grips HANDLE_Y apart, SHAFT_Y at the tray
+# rear, SHAFT_Y_FRONT at its front, FORK_Y at the hub). Built as three
+# boxes, the handle stopped at the tray's corner, the level run hid under
+# the side walls, and the fork started at the front corner: the tray
+# carried everything and the barrow read as a crate on legs.
+HANDLE_Y = 0.27
+SHAFT_Y = 0.19
+SHAFT_Y_FRONT = 0.15
 SHAFT_W = 0.036
 SHAFT_H = 0.044
 SHAFT_Z = 0.280
@@ -74,7 +84,16 @@
 TRAY_X0 = -0.32
 TRAY_X1 = 0.40
 TRAY_L = TRAY_X1 - TRAY_X0
-TRAY_W = 2.0 * SHAFT_Y
+# The tray is a hopper, not a box: a floor of inner half-width TRAY_YB on
+# the shafts, sides flared out by FLARE, the front raked over the wheel by
+# RAKE for tipping, the low rear leaning back by REAR_LEAN.
+TRAY_YB = 0.21
+TRAY_W = 2.0 * TRAY_YB
+FLARE = math.radians(15.0)
+RAKE = math.radians(30.0)
+REAR_LEAN = math.radians(12.0)
+FLARE_MIN = math.radians(10.0)
+RAKE_MIN = math.radians(20.0)
 FLOOR_T = 0.022
 N_FLOOR = 5
 # Negative: slats overlap so the wood bevel cannot open daylight
@@ -82,7 +101,10 @@
 SLAT_GAP = -0.003
 WALL_H = 0.22
 WALL_T = 0.022
-WALL_SEAT = 0.012
+# A raked wall's outer bottom edge sits WALL_T*sin(RAKE) below its inner
+# one, so the seat is kept under FLOOR_T minus that or the edge pokes out
+# of the floor's underside.
+WALL_SEAT = 0.008
 # Side and front walls are WALL_BOARDS boards stacked with a WALL_SEAM
 # between them, held by the iron straps; the low rear wall is one board.
 WALL_BOARDS = 2
@@ -94,17 +116,21 @@
 PLANK_TONE_JITTER = 0.28
 TONE_SEED = 29
 WOOD_GRAIN_SCALE = 30.0
-HANDLE_SEAT = 0.055
 FRONT_H = 0.26
 REAR_H = 0.10
 FORK_Y = HUB_W / 2.0 + 0.016
 LEG_X = -0.06
+LEG_SPLAY = 0.08          # each leg's foot sits this far outboard of its shaft
+LEG_BRACE_Z = 0.12
+BEARER_BACK = 0.04        # bearer under the tray, this far behind its front
+STRAP_T = 0.008
+STRAP_TOP_CLEAR = 0.010   # straps stop this far below the wall top
 SHOE_H = 0.024
 SHOE_XY = (0.058, 0.050)
 
 BBOX_TOL = 0.015
-OUTER_SIZE = (1.558, 0.630, 0.574)
-TRAY_SIZE = (0.720, 0.532, 0.220)
+OUTER_SIZE = (1.563, 0.594, 0.577)
+TRAY_SIZE = (0.939, 0.578, 0.225)
 TRAY_SIZE_TOL = (0.02, 0.02, 0.02)
 BASE_TRIS_MIN = 2300
 BASE_TRIS_MAX = 2800
@@ -131,7 +157,6 @@
 GAP_MAX = 0.010
 SPOKE_CLEAR_MIN = 0.010
 TREAD_ASPECT_MIN = 2.5
-HANDLE_JOIN = 0.020
 WALL_SEAT_MIN = 0.005
 SHOE_Z_MAX = 1e-3
 
@@ -203,6 +228,51 @@ def add_oriented_box(bm, a, b, scale_xy, mat_idx):
     )
 
 
+def add_hex(bm, inner, outer, mat_idx):
+    """A six-faced board from its inner quad and outer quad (same winding)."""
+    vi = [bm.verts.new(p) for p in inner]
+    vo = [bm.verts.new(p) for p in outer]
+    quads = [vi, vo[::-1]] + [
+        (vi[k], vo[k], vo[(k + 1) % 4], vi[(k + 1) % 4]) for k in range(4)
+    ]
+    for q in quads:
+        bm.faces.new(q).material_index = mat_idx
+    return vi + vo
+
+
+def add_sweep(bm, pts, w, h, mat_idx):
+    """One square-section timber swept through a polyline, mitred at bends.
+
+    At an interior point the section lies in the bisector plane of the two
+    segments, scaled by 1/cos(half the bend) so the timber keeps its width
+    through the bend. One shell: a shaft that bends is one piece of wood.
+    """
+    pts = [Vector(p) for p in pts]
+    dirs = [(b - a).normalized() for a, b in zip(pts, pts[1:])]
+    rings = []
+    for i, p in enumerate(pts):
+        if i == 0:
+            t, k = dirs[0], 1.0
+        elif i == len(pts) - 1:
+            t, k = dirs[-1], 1.0
+        else:
+            t = (dirs[i - 1] + dirs[i]).normalized()
+            k = 1.0 / max(0.5, dirs[i - 1].dot(t))
+        side = t.cross(Vector((0.0, 0.0, 1.0))).normalized()
+        up = side.cross(t).normalized()
+        rings.append([
+            bm.verts.new(p + (side * sx * w / 2.0 + up * sz * h / 2.0) * k)
+            for sx, sz in ((-1, -1), (1, -1), (1, 1), (-1, 1))
+        ])
+    for a, b in zip(rings, rings[1:]):
+        for j in range(4):
+            j2 = (j + 1) % 4
+            bm.faces.new((a[j], a[j2], b[j2], b[j])).material_index = mat_idx
+    bm.faces.new(rings[0][::-1]).material_index = mat_idx
+    bm.faces.new(rings[-1]).material_index = mat_idx
+    return [v for r in rings for v in r]
+
+
 def add_cyl(bm, loc, radius, depth, segments, mat_idx, euler=(0.0, 0.0, 0.0)):
     geo = bmesh.ops.create_cone(
         bm,
@@ -422,7 +492,7 @@ def add_board_stack(bm, center, size, n, seam, mat_idx):
 def build_barrow_mesh(
     name, bevel_offset, bevel_segments,
     pipe_rim=False, fat_spokes=False, short_legs=False, float_walls=False,
-    wide_seams=False,
+    wide_seams=False, split_shafts=False, box_tray=False,
 ):
     bm = bmesh.new()
     try:
@@ -431,56 +501,43 @@ def build_barrow_mesh(
         spoke_t = HUB_R * 2.2 if fat_spokes else SPOKE_T
         shoe_z = 0.05 if short_legs else 0.0
         shoe_top = shoe_z + SHOE_H
-        floor_z = SHAFT_Z + SHAFT_H / 2.0 + FLOOR_T / 2.0
-        floor_top = SHAFT_Z + SHAFT_H / 2.0 + FLOOR_T
+        floor_bot = SHAFT_Z + SHAFT_H / 2.0
+        floor_z = floor_bot + FLOOR_T / 2.0
+        floor_top = floor_bot + FLOOR_T
         seat = -0.003 if float_walls else WALL_SEAT
-        wall_z = floor_top - seat + WALL_H / 2.0
-        front_z = floor_top - seat + FRONT_H / 2.0
-        rear_z = floor_top - seat + REAR_H / 2.0
+        zb = floor_top - seat          # inner bottom edge of every wall
+        T = WALL_T
+
+        def shaft_y(x):
+            """Shaft centreline half-spacing under the tray (linear taper)."""
+            t = (x - TRAY_X0) / (TRAY_X1 - TRAY_X0)
+            return SHAFT_Y + (SHAFT_Y_FRONT - SHAFT_Y) * t
 
+        # ---- the frame: two shafts, legs, a bearer under the tray front
         for ysign in (-1.0, 1.0):
-            y = ysign * SHAFT_Y
-            fy = ysign * FORK_Y
-            body.extend(
-                add_oriented_box(
-                    bm,
-                    (HANDLE_X, y, HANDLE_Z),
-                    (TRAY_X0 + HANDLE_SEAT, y, SHAFT_Z),
-                    (SHAFT_W - 0.010, SHAFT_H - 0.010),
-                    WOOD_IDX,
-                )
-            )
-            body.extend(
-                add_oriented_box(
-                    bm,
-                    (TRAY_X0, y, SHAFT_Z),
-                    (TRAY_X1, y, SHAFT_Z),
-                    (SHAFT_W, SHAFT_H),
-                    WOOD_IDX,
-                )
-            )
-            body.extend(
-                add_oriented_box(
-                    bm,
-                    (TRAY_X1, y, SHAFT_Z),
-                    (WHEEL_X, fy, WHEEL_Z),
-                    (SHAFT_W, SHAFT_H),
-                    WOOD_IDX,
-                )
-            )
+            path = [
+                (HANDLE_X, ysign * HANDLE_Y, HANDLE_Z),
+                (TRAY_X0, ysign * SHAFT_Y, SHAFT_Z),
+                (TRAY_X1, ysign * SHAFT_Y_FRONT, SHAFT_Z),
+                (WHEEL_X, ysign * FORK_Y, WHEEL_Z),
+            ]
+            if split_shafts:
+                # --split-shafts: the old three separate boxes per side
+                for a, b in zip(path, path[1:]):
+                    body.extend(add_oriented_box(bm, a, b, (SHAFT_W, SHAFT_H), WOOD_IDX))
+            else:
+                body.extend(add_sweep(bm, path, SHAFT_W, SHAFT_H, WOOD_IDX))
+            ly = shaft_y(LEG_X)
+            foot = (LEG_X + 0.02, ysign * (ly + LEG_SPLAY), shoe_top)
             body.extend(
                 add_oriented_box(
-                    bm,
-                    (LEG_X, y, SHAFT_Z),
-                    (LEG_X + 0.02, ysign * (SHAFT_Y + 0.035), shoe_top),
-                    (0.034, 0.034),
-                    WOOD_IDX,
+                    bm, (LEG_X, ysign * ly, SHAFT_Z), foot, (0.034, 0.034), WOOD_IDX,
                 )
             )
             metal.extend(
                 add_box(
                     bm,
-                    (LEG_X + 0.02, ysign * (SHAFT_Y + 0.035), shoe_z + SHOE_H / 2.0),
+                    (foot[0], foot[1], shoe_z + SHOE_H / 2.0),
                     (SHOE_XY[0], SHOE_XY[1], SHOE_H),
                     METAL_IDX,
                 )
@@ -494,97 +551,126 @@ def build_barrow_mesh(
                 )
             )
 
+        # leg stretcher, its ends on the leg axes at its height
+        ly = shaft_y(LEG_X)
+        f = (SHAFT_Z - LEG_BRACE_Z) / (SHAFT_Z - shoe_top)
+        by = ly + LEG_SPLAY * f
+        bx = LEG_X + 0.02 * f
         body.extend(
             add_oriented_box(
-                bm,
-                (LEG_X, -SHAFT_Y, 0.12),
-                (LEG_X, SHAFT_Y, 0.12),
-                (0.028, 0.028),
-                WOOD_IDX,
+                bm, (bx, -by, LEG_BRACE_Z), (bx, by, LEG_BRACE_Z), (0.028, 0.028), WOOD_IDX,
             )
         )
+        # bearer between the shafts under the tray front, ends buried in the
+        # shafts; the old spreader stood inside the wheel between the forks
+        bx = TRAY_X1 - BEARER_BACK
         body.extend(
             add_oriented_box(
-                bm,
-                (TRAY_X1 + 0.04, -FORK_Y, WHEEL_Z + 0.02),
-                (TRAY_X1 + 0.04, FORK_Y, WHEEL_Z + 0.02),
-                (0.024, 0.024),
-                WOOD_IDX,
+                bm, (bx, -shaft_y(bx), SHAFT_Z), (bx, shaft_y(bx), SHAFT_Z),
+                (0.030, SHAFT_H * 0.8), WOOD_IDX,
             )
         )
 
-        slat_span = TRAY_L
-        slat_w = (slat_span - (N_FLOOR - 1) * SLAT_GAP) / N_FLOOR
-        # Slats run under the side walls; walls sit on the floor, not
-        # beside a through-gap at the inner arris.
-        slat_y = TRAY_W + WALL_T
-        # Tray parts whose lowest edges are buried or face the ground: the
-        # wall bottoms sit WALL_SEAT into the floor and the slat undersides
-        # face the shafts. Those edges get no bevel; nobody sees them.
+        # ---- the tray: a hopper between a bottom and a top outline.
+        # Heights are vertical; each wall is the planar band between its
+        # bottom edge and its top edge. --box-tray stands every wall
+        # vertical on the TOP outline, so the envelope stays put.
+        tf, tr, tl = math.tan(FLARE), math.tan(RAKE), math.tan(REAR_LEAN)
+        cf, cr, cl = math.cos(FLARE), math.cos(RAKE), math.cos(REAR_LEAN)
+
+        def side_y(h):
+            return TRAY_YB + (WALL_H if box_tray else h) * tf
+
+        def front_x(h):
+            return TRAY_X1 + (FRONT_H if box_tray else h) * tr
+
+        def rear_x(h):
+            return TRAY_X0 - (REAR_H if box_tray else h) * tl
+
+        # outward horizontal offset of a wall's outer face (thickness T
+        # measured along the wall's normal)
+        off_s = T if box_tray else T / cf
+        off_f = T if box_tray else T / cr
+        off_r = T if box_tray else T / cl
+
         tray = []
+        # floor: slats across the shafts, under every wall's full footprint
+        fx0 = rear_x(0.0) - off_r
+        fx1 = front_x(0.0) + off_f
+        slat_w = (fx1 - fx0 - (N_FLOOR - 1) * SLAT_GAP) / N_FLOOR
+        slat_y = 2.0 * (side_y(0.0) + off_s)
         for i in range(N_FLOOR):
-            x = TRAY_X0 + slat_w / 2.0 + i * (slat_w + SLAT_GAP)
+            x = fx0 + slat_w / 2.0 + i * (slat_w + SLAT_GAP)
             tray.extend(
-                add_box(
-                    bm,
-                    (x, 0.0, floor_z),
-                    (slat_w, slat_y, FLOOR_T),
-                    WOOD_IDX,
-                )
+                add_box(bm, (x, 0.0, floor_z), (slat_w, slat_y, FLOOR_T), WOOD_IDX)
             )
+
         # --wide-seams: the same boards and triangles, seams past the band
         seam_w = WIDE_SEAM if wide_seams else WALL_SEAM
-        for ysign in (-1.0, 1.0):
-            tray.extend(
-                add_board_stack(
-                    bm,
-                    (0.5 * (TRAY_X0 + TRAY_X1), ysign * (TRAY_W / 2.0), wall_z),
-                    (TRAY_L, WALL_T, WALL_H),
-                    WALL_BOARDS, seam_w, WOOD_IDX,
-                )
-            )
-        tray.extend(
-            add_board_stack(
-                bm,
-                (TRAY_X1, 0.0, front_z),
-                (WALL_T, TRAY_W + WALL_T, FRONT_H),
-                WALL_BOARDS, seam_w, WOOD_IDX,
-            )
-        )
-        tray.extend(
-            add_box(
-                bm,
-                (TRAY_X0, 0.0, rear_z),
-                (WALL_T, TRAY_W + WALL_T, REAR_H),
-                WOOD_IDX,
-            )
-        )
+
+        def bands(height, n):
+            b = (height - (n - 1) * seam_w) / n
+            return [(k * (b + seam_w), k * (b + seam_w) + b) for k in range(n)]
+
+        for s in (-1.0, 1.0):
+            # side boards run past the end walls' outer faces (the ends are
+            # housed into them), following the rake and the lean
+            for h0, h1 in bands(WALL_H, WALL_BOARDS):
+                def ring(h, out):
+                    # outer face: the inner point moved T along the normal
+                    ny, nz = (1.0, 0.0) if box_tray else (cf, -math.sin(FLARE))
+                    y = s * (side_y(h) + (T * ny if out else 0.0))
+                    z = zb + h + (T * nz if out else 0.0)
+                    return [
+                        (rear_x(h) - off_r, y, z),
+                        (front_x(h) + off_f, y, z),
+                    ]
+                inner = ring(h0, False) + ring(h1, False)[::-1]
+                outer = ring(h0, True) + ring(h1, True)[::-1]
+                if s < 0:
+                    inner, outer = inner[::-1], outer[::-1]
+                tray.extend(add_hex(bm, inner, outer, WOOD_IDX))
+
+        def end_wall(height, n, x_of, off, sign, angle):
+            """Front (sign +1) or rear (-1) boards, ends housed half a
+            board into the side walls."""
+            for h0, h1 in bands(height, n):
+                def edge(h, out):
+                    nx, nz = (1.0, 0.0) if box_tray else (math.cos(angle), -math.sin(angle))
+                    x = x_of(h) + sign * (T * nx if out else 0.0)
+                    z = zb + h + (T * nz if out else 0.0)
+                    y = side_y(h) + 0.5 * off_s
+                    return [(x, -y, z), (x, y, z)]
+                inner = edge(h0, False) + edge(h1, False)[::-1]
+                outer = edge(h0, True) + edge(h1, True)[::-1]
+                if sign < 0:
+                    inner, outer = inner[::-1], outer[::-1]
+                tray.extend(add_hex(bm, inner, outer, WOOD_IDX))
+
+        end_wall(FRONT_H, WALL_BOARDS, front_x, off_f, 1.0, RAKE)
+        end_wall(REAR_H, 1, rear_x, off_r, -1.0, REAR_LEAN)
         body.extend(tray)
         tray_set = set(tray)
 
-        strap_r_y = TRAY_W / 2.0 + WALL_T / 2.0 + 0.004
+        # iron straps: up each side wall's outer face from the floor's
+        # underside, stopping short of the wall top, joined under the floor
         for sx in (TRAY_X0 + TRAY_L * 0.28, TRAY_X0 + TRAY_L * 0.72):
-            z0 = SHAFT_Z + SHAFT_H / 2.0
-            z1 = z0 + FLOOR_T + WALL_H
-            for ysign in (-1.0, 1.0):
-                metal.extend(
-                    add_oriented_box(
-                        bm,
-                        (sx, ysign * strap_r_y, z0),
-                        (sx, ysign * strap_r_y, z1),
-                        (0.018, 0.008),
-                        METAL_IDX,
-                    )
-                )
-            metal.extend(
-                add_oriented_box(
-                    bm,
-                    (sx, -strap_r_y, z0),
-                    (sx, strap_r_y, z0),
-                    (0.018, 0.008),
-                    METAL_IDX,
-                )
-            )
+            z0 = floor_bot
+            ry = side_y(0.0) + off_s + STRAP_T / 2.0
+            for s in (-1.0, 1.0):
+                top_h = WALL_H - STRAP_TOP_CLEAR
+                # the outer face at height z is side_y + off_s horizontally
+                ty = side_y(top_h) + off_s + STRAP_T / 2.0
+                tz = zb + top_h
+                metal.extend(add_oriented_box(
+                    bm, (sx, s * ry, z0), (sx, s * ry, zb), (0.018, STRAP_T), METAL_IDX,
+                ))
+                metal.extend(add_oriented_box(
+                    bm, (sx, s * ry, zb - 0.004), (sx, s * ty, tz), (0.018, STRAP_T), METAL_IDX,
+                ))
+            metal.extend(add_oriented_box(
+                bm, (sx, -ry, z0), (sx, ry, z0), (0.018, STRAP_T), METAL_IDX,
+            ))
 
         if bevel_offset > 0.0:
             edges = []
@@ -851,29 +937,45 @@ def support_audit(me):
     }
 
 
-def tray_size(me):
-    """Side-wall pair: length, track, and height of the box they bound."""
-    groups = shells(me)
-    walls = []
-    for g in groups:
-        faces = [
-            p for p in me.polygons if all(i in set(g) for i in p.vertices)
-        ]
+def tray_parts(me):
+    """Wood shells of the tray, classified: side boards per side, front and
+    rear boards, floor slats. Each entry is (shell vertex indices, AABB).
+
+    A wall board is taller than a slat (dz > 0.05) and within its wall's
+    reach of the tray: side boards are long in X and outboard of the floor,
+    end boards are wide in Y and at the tray's front or rear.
+    """
+    out = {"side": {-1: [], 1: []}, "front": [], "rear": [], "floor": []}
+    for g in shells(me):
+        faces = [p for p in me.polygons if all(i in set(g) for i in p.vertices)]
         if not faces or faces[0].material_index != WOOD_IDX:
             continue
         a = shell_aabb(me, g)
         dx, dy, dz = a[3] - a[0], a[4] - a[1], a[5] - a[2]
-        if abs(dx - TRAY_L) < 0.10 and dy < 0.06 and 0.05 < dz < WALL_H + 0.08:
-            walls.append(a)
-    # A side wall is one or more boards: the union of the boards on a side.
+        cx, cy = 0.5 * (a[0] + a[3]), 0.5 * (a[1] + a[4])
+        if dz < FLOOR_T * 2.2 and dy > TRAY_W and a[0] > TRAY_X0 - 0.2:
+            out["floor"].append((g, a))
+        elif dz <= 0.05 or dz > FRONT_H + 0.08:
+            continue
+        elif dx > TRAY_L * 0.8 and abs(cy) > TRAY_YB * 0.9 and dy < 0.1:
+            out["side"][1 if cy > 0.0 else -1].append((g, a))
+        elif dy > TRAY_W * 0.8 and dx < 0.2 and cx > TRAY_X1 - 0.05:
+            out["front"].append((g, a))
+        elif dy > TRAY_W * 0.8 and dx < 0.2 and cx < TRAY_X0 + 0.05:
+            out["rear"].append((g, a))
+    return out
+
+
+def tray_size(me):
+    """Side-wall pair: length, track, and height of the hopper they bound."""
     sides = {}
-    for a in walls:
-        k = 1 if a[1] + a[4] > 0.0 else -1
-        b = sides.get(k)
-        sides[k] = a if b is None else (
-            min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2]),
-            max(a[3], b[3]), max(a[4], b[4]), max(a[5], b[5]),
-        )
+    for k, boards in tray_parts(me)["side"].items():
+        for _g, a in boards:
+            b = sides.get(k)
+            sides[k] = a if b is None else (
+                min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2]),
+                max(a[3], b[3]), max(a[4], b[4]), max(a[5], b[5]),
+            )
     if len(sides) < 2:
         return (0.0, 0.0, 0.0)
     left, right = sides[-1], sides[1]
@@ -885,59 +987,110 @@ def tray_size(me):
 
 
 def wall_floor_seat(me):
-    """How far the side walls drop into the floor shells, metres.
-
-    Recomputed from AABBs. A wall that only kisses the floor top after
-    a bevel reports ~0 and fails the seat floor.
+    """How far the walls drop into the floor slats, metres.
+
+    Per board: the floor top minus the lowest vertex on the board's INNER
+    face. Of the board's two largest faces (inner and outer), the inner one
+    is the one whose centre lies nearer the tray's centre in plan; the
+    board's vertices on that face's plane give the inner bottom edge. A
+    leaning board's outer bottom edge sits lower than its inner one, so the
+    board's AABB zmin would overstate the seat. The smallest seat over every
+    wall board is returned; a wall that only kisses the floor reports ~0 and
+    fails the seat floor.
     """
-    groups = shells(me)
-    floors = []
-    walls = []
-    for g in groups:
-        faces = [
-            p for p in me.polygons if all(i in set(g) for i in p.vertices)
-        ]
-        if not faces or faces[0].material_index != WOOD_IDX:
-            continue
-        a = shell_aabb(me, g)
-        dx, dy, dz = a[3] - a[0], a[4] - a[1], a[5] - a[2]
-        if dz < FLOOR_T * 2.2 and dy > TRAY_W * 0.5:
-            floors.append(a)
-        if abs(dx - TRAY_L) < 0.10 and dy < WALL_T * 4.0 and 0.05 < dz < WALL_H + 0.08:
-            walls.append(a)
-    if not floors or not walls:
+    parts = tray_parts(me)
+    if not parts["floor"]:
         return -1.0
-    floor_top = max(a[5] for a in floors)
-    wall_bot = min(a[2] for a in walls)
-    return floor_top - wall_bot
+    floor_top = max(a[5] for _g, a in parts["floor"])
+    fx = [a for _g, a in parts["floor"]]
+    centre = Vector((0.5 * (min(a[0] for a in fx) + max(a[3] for a in fx)), 0.0))
+
+    def inner_bottom(g):
+        member = set(g)
+        faces = sorted((p for p in me.polygons if all(i in member for i in p.vertices)),
+                       key=lambda p: -p.area)[:2]
+        inner = min(faces, key=lambda p: (p.center.xy - centre).length)
+        return min(me.vertices[i].co.z for i in g
+                   if abs((me.vertices[i].co - inner.center).dot(inner.normal)) < 1e-4)
+
+    # each wall seats on its lowest board; the boards above it stack on it
+    walls = [parts["side"][-1], parts["side"][1], parts["front"], parts["rear"]]
+    seats = [floor_top - min(inner_bottom(g) for g, _a in w) for w in walls if w]
+    return min(seats) if seats else -1.0
 
 
 def wall_boards(me):
     """Boards per side wall and in the front wall, and the seams between them.
 
-    Side boards are long in X and thin in Y; front boards are thin in X,
-    wide in Y and the ones nearer the wheel (the rear wall is one low
-    board). Seams are the gaps between vertically adjacent boards.
+    Seams are measured in each wall's own plane, along the direction that
+    runs up the wall, taken from the boards' own largest face: the gap
+    between one board's top and the next one's bottom. An AABB seam in Z
+    would read negative on a leaning board, because its outer face sits
+    lower than its inner one.
     """
-    sides = {-1: [], 1: []}
-    ends = []
+    parts = tray_parts(me)
+
+    def up_of(boards, along):
+        if not boards:
+            return Vector((0.0, 0.0, 1.0))
+        member = set(boards[0][0])
+        big = max((p for p in me.polygons if all(i in member for i in p.vertices)),
+                  key=lambda p: p.area)
+        u = big.normal.cross(along).normalized()
+        return u if u.z > 0.0 else -u
+
+    stacks = [(b, up_of(b, Vector(ax))) for b, ax in (
+        (parts["side"][-1], (1.0, 0.0, 0.0)), (parts["side"][1], (1.0, 0.0, 0.0)),
+        (parts["front"], (0.0, 1.0, 0.0)))]
+    seams = []
+    for boards, u in stacks:
+        spans = sorted(
+            (min(me.vertices[i].co.dot(u) for i in g),
+             max(me.vertices[i].co.dot(u) for i in g))
+            for g, _a in boards
+        )
+        seams.extend(b[0] - a[1] for a, b in zip(spans, spans[1:]))
+    return len(parts["side"][-1]), len(parts["side"][1]), len(parts["front"]), seams
+
+
+def tray_flare(me):
+    """(side flare, front rake) in degrees, from the boards' own faces.
+
+    For each side board, the largest face whose normal points mostly
+    outward in Y; the flare is how far that normal dips below horizontal.
+    The same for front boards along X. A box tray measures 0 and 0.
+    """
+    parts = tray_parts(me)
+
+    def lean(boards, axis):
+        out = []
+        for g, _a in boards:
+            member = set(g)
+            faces = [p for p in me.polygons
+                     if all(i in member for i in p.vertices) and abs(p.normal[axis]) > 0.5]
+            if faces:
+                n = max(faces, key=lambda p: p.area).normal
+                out.append(math.degrees(math.asin(min(1.0, abs(n.z)))))
+        return min(out) if out else 0.0
+
+    return (lean(parts["side"][-1] + parts["side"][1], 1), lean(parts["front"], 0))
+
+
+def shaft_runs(me):
+    """Wood shells that run unbroken from behind the tray to beyond its front.
+
+    A barrow's two shafts are single timbers from grip to axle; built as
+    handle, level run and fork, no one shell spans the tray and this is 0.
+    """
+    n = 0
     for g in shells(me):
         faces = [p for p in me.polygons if all(i in set(g) for i in p.vertices)]
         if not faces or faces[0].material_index != WOOD_IDX:
             continue
         a = shell_aabb(me, g)
-        dx, dy, dz = a[3] - a[0], a[4] - a[1], a[5] - a[2]
-        if abs(dx - TRAY_L) < 0.10 and dy < 0.06 and 0.05 < dz < WALL_H + 0.08:
-            sides[1 if a[1] + a[4] > 0.0 else -1].append(a)
-        elif dx < 0.06 and dy > TRAY_W * 0.6 and dz > 0.05:
-            ends.append(a)
-    front_x = max((0.5 * (a[0] + a[3]) for a in ends), default=0.0)
-    front = [a for a in ends if abs(0.5 * (a[0] + a[3]) - front_x) < 0.01]
-    seams = []
-    for stack in (sides[-1], sides[1], front):
-        stack = sorted(stack, key=lambda a: a[2])
-        seams.extend(b[2] - a[5] for a, b in zip(stack, stack[1:]))
-    return len(sides[-1]), len(sides[1]), len(front), seams
+        if a[0] < TRAY_X0 - 0.2 and a[3] > TRAY_X1 + 0.1:
+            n += 1
+    return n
 
 
 def _long_axis(pts):
@@ -1061,33 +1214,6 @@ def barrow_materials():
     return wood, metal
 
 
-def handle_join_gap(me):
-    """Daylight between the handle sticks and the tray rear.
-
-    Handles are the wood shells whose xmax is behind the tray; the tray
-    rear is the wood shell with the smallest xmax among tall-wide parts.
-    """
-    groups = shells(me)
-    wood = []
-    for g in groups:
-        faces = [
-            p for p in me.polygons if all(i in set(g) for i in p.vertices)
-        ]
-        if not faces or faces[0].material_index != WOOD_IDX:
-            continue
-        wood.append(shell_aabb(me, g))
-    if not wood:
-        return 99.0
-    xmin = min(a[0] for a in wood)
-    handles = [a for a in wood if a[0] < xmin + 0.08]
-    trayish = [a for a in wood if (a[4] - a[1]) > TRAY_W * 0.6]
-    if not handles or not trayish:
-        return 99.0
-    tray_x0 = min(a[0] for a in trayish)
-    handle_x1 = max(a[3] for a in handles)
-    return tray_x0 - handle_x1
-
-
 def spoke_clearance(me):
     """Hub diameter minus fattest spoke thickness.
 
@@ -1291,13 +1417,13 @@ def export_unity(path, objects):
 def check(
     skip_decimate, lift_z=False, stray_vert=False,
     fat_spokes=False, pipe_rim=False, short_legs=False, float_walls=False,
-    wide_seams=False,
+    wide_seams=False, split_shafts=False, box_tray=False,
 ):
     bpy.ops.wm.read_factory_settings(use_empty=True)
     flags = dict(
         pipe_rim=pipe_rim, fat_spokes=fat_spokes,
         short_legs=short_legs, float_walls=float_walls,
-        wide_seams=wide_seams,
+        wide_seams=wide_seams, split_shafts=split_shafts, box_tray=box_tray,
     )
     low = build_barrow_mesh("BarrowLow", 0.004, 2, **flags)
     high = build_barrow_mesh("BarrowHigh", 0.004, 4, **flags)
@@ -1366,7 +1492,8 @@ def check(
     zf = zfight_pairs(low.data)
     sup = support_audit(low.data)
     tsz = tray_size(low.data)
-    hgap = handle_join_gap(low.data)
+    runs = shaft_runs(low.data)
+    flare, rake = tray_flare(low.data)
     sclear = spoke_clearance(low.data)
     aspect = tread_aspect(low.data)
     gap_mw = min_mat_distance(low.data, METAL_IDX, WOOD_IDX)
@@ -1401,7 +1528,7 @@ def check(
     )
     print(
         f"measured tray=({tsz[0]:.4f},{tsz[1]:.4f},{tsz[2]:.4f}) "
-        f"handle_gap={hgap:.5f} spoke_clear={sclear:.5f} "
+        f"shaft_runs={runs} flare={flare:.2f} rake={rake:.2f} spoke_clear={sclear:.5f} "
         f"tread_aspect={aspect:.3f} gap_metal_wood={gap_mw:.5f} "
         f"wall_floor_seat={seat:.5f}"
     )
@@ -1511,11 +1638,6 @@ def check(
             "(--fat-spokes is the designed fail)",
             17,
         ), None, None, None, None, None
-    if hgap > HANDLE_JOIN:
-        return fail(
-            f"handle-tray gap {hgap:.5f} > {HANDLE_JOIN}",
-            17,
-        ), None, None, None, None, None
     if seat < WALL_SEAT_MIN:
         return fail(
             f"wall-floor seat {seat:.5f} < {WALL_SEAT_MIN} "
@@ -1546,6 +1668,19 @@ def check(
             "(--pipe-rim is the designed fail)",
             18,
         ), None, None, None, None, None
+    if runs != 2:
+        return fail(
+            f"{runs} shafts run unbroken from behind the tray past its front, "
+            "need 2 (--split-shafts is the designed fail)",
+            20,
+        ), None, None, None, None, None
+    if flare < math.degrees(FLARE_MIN) or rake < math.degrees(RAKE_MIN):
+        return fail(
+            f"tray flare {flare:.2f} deg / rake {rake:.2f} deg under "
+            f"{math.degrees(FLARE_MIN):.0f} / {math.degrees(RAKE_MIN):.0f} "
+            "(--box-tray is the designed fail)",
+            21,
+        ), None, None, None, None, None
     if (
         abs(tsz[0] - TRAY_SIZE[0]) > TRAY_SIZE_TOL[0]
         or abs(tsz[1] - TRAY_SIZE[1]) > TRAY_SIZE_TOL[1]
@@ -1709,6 +1844,16 @@ def main():
         action="store_true",
         help="falsification: 8 mm seams between wall boards",
     )
+    p.add_argument(
+        "--split-shafts",
+        action="store_true",
+        help="falsification: each shaft as handle, level run and fork, three shells",
+    )
+    p.add_argument(
+        "--box-tray",
+        action="store_true",
+        help="falsification: vertical tray walls on the same top outline",
+    )
     args = p.parse_args(argv)
 
     code, low, _high, wood, tex, _col = check(
@@ -1720,6 +1865,8 @@ def main():
         short_legs=args.short_legs,
         float_walls=args.float_walls,
         wide_seams=args.wide_seams,
+        split_shafts=args.split_shafts,
+        box_tray=args.box_tray,
     )
     if code:
         return code

From 1da59e449bd2ecc745427a239e1e67b0638c4c46 Mon Sep 17 00:00:00 2001
From: TMHSDigital <154358121+TMHSDigital@users.noreply.github.com>
Date: Fri, 25 Sep 2026 07:21:32 -0400
Subject: [PATCH 2/3] docs(showcase): load-carrying timber is one sweep;
 tipping trays are hoppers

Extends "A bent bar is one sweep" to timber that carries a load end to end,
and adds two conventions from the wheelbarrow pass: a tray emptied by tipping
is built as a hopper with a flare floor (falsifier keeps the top outline), and
a leaning board is measured in its own plane, from its own faces.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Signed-off-by: TMHSDigital <154358121+TMHSDigital@users.noreply.github.com>
---
 showcase/README.md | 22 ++++++++++++++++++++++
 1 file changed, 22 insertions(+)

diff --git a/showcase/README.md b/showcase/README.md
index 78651fe7..22374b9c 100644
--- a/showcase/README.md
+++ b/showcase/README.md
@@ -564,6 +564,28 @@ entry in `showcase/gallery.json`, and a rendered still.
   because the toe still grounds and the post still meets its stretcher.
   Assert it from shells instead: the shell under each toe station must be a
   leg that reaches the seat. `--split-feet` is the falsifier.
+
+  The same holds for timber that carries a load end to end. A barrow's
+  shaft is the handle, the bearer under the tray and the fork, in one
+  piece. `wheelbarrow` built it as three boxes and hid the middle one
+  exactly under the tray's side wall, so the handle appeared to stop at
+  the tray corner and the tray to carry everything. Sweep it through its
+  stations with mitred joints, route it where it can be seen, and assert
+  the count of shells that span the whole run (`--split-shafts`).
+- **A tray that tips is a hopper, not a box (file-local code).** Build a
+  tray, bin or trough that is emptied by tipping from a bottom outline
+  and a top outline: flared sides, a raked tipping end. Each wall is the
+  planar band between its two edges, the end boards housed into the
+  sides. Measure the lean from the boards' own largest faces and assert
+  a floor; the falsifier stands the walls vertical on the same top
+  outline, so the envelope and size budgets stay put (`--box-tray`).
+- **Measure a leaning board in its own plane.** A flared or raked board's
+  outer face sits lower than its inner one, so AABB tests lie: a seam in
+  Z between two stacked boards reads negative, and a zmin seat reads the
+  outer bottom edge. Take each wall's up direction from its boards' largest
+  face and measure seams along it; seat the wall on its lowest board's
+  inner face. Derive both from the mesh, not the build constants, or the
+  box-tray falsifier trips the seam gate first.
 - **A carried member bites its carrier, measured where the vertices are
   (file-local code).** A slat on a rail, a back slat on an upright and an
   armrest on its leg each assert an overlap depth against a named minimum,

From 58e2aef5220d58b03c9fbf82b007289133f2c3bc Mon Sep 17 00:00:00 2001
From: TMHSDigital <154358121+TMHSDigital@users.noreply.github.com>
Date: Fri, 25 Sep 2026 07:21:34 -0400
Subject: [PATCH 3/3] fix(examples): turn the gltf-skin-roundtrip scorpions
 three-quarters

The tail curls in each rig's Y-Z plane, and the camera looked at both
scorpions head-on, so the curl was seen end-on and the tail stood straight
up like a chimney: a boxy robot, not a scorpion. Both armatures are now
yawed -50 deg about their own origins, composed into the world matrix
because the glTF importer leaves its armature in quaternion mode, and set
1.0 m either side of centre. Render path only. Exit codes unchanged on
4.5.11, 5.1.2 and 5.2.1 (default 0, --no-skins 5, --output 0) and every
measured line matches the baseline. Shared gallery index rides here.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Signed-off-by: TMHSDigital <154358121+TMHSDigital@users.noreply.github.com>
---
 .../assets/gltf-skin-roundtrip-hero.webp      | Bin 14972 -> 22380 bytes
 .../gltf-skin-roundtrip-contact-sheet.webp    | Bin 39010 -> 55012 bytes
 docs/gallery/gltf-skin-roundtrip/index.html   |  23 +++++++++++++++---
 docs/gallery/index.html                       |   4 +--
 examples/gltf-skin-roundtrip/README.md        |   5 ++++
 .../gltf_skin_roundtrip.py                    |  21 +++++++++++++---
 examples/gltf-skin-roundtrip/preview.webp     | Bin 13248 -> 21282 bytes
 7 files changed, 44 insertions(+), 9 deletions(-)

diff --git a/docs/gallery/assets/gltf-skin-roundtrip-hero.webp b/docs/gallery/assets/gltf-skin-roundtrip-hero.webp
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diff --git a/docs/gallery/gltf-skin-roundtrip/index.html b/docs/gallery/gltf-skin-roundtrip/index.html
index 6d5bfdd5..42b59570 100644
--- a/docs/gallery/gltf-skin-roundtrip/index.html
+++ b/docs/gallery/gltf-skin-roundtrip/index.html
@@ -284,7 +284,7 @@ <h1>gltf-skin-roundtrip</h1>
 <ul><li><strong>The skeleton survives.</strong> <code>skins[0].joints</code> names every bone; the re-imported armature carries the same 7 bones, the same parent chain, and rest matrices within 2.4e-07 — the +Y-up conversion applies to bone nodes exactly as it does to meshes (their translations convert, no rotation is written).</li><li><strong>The weights survive.</strong> Every primitive carries JOINTS_0/WEIGHTS_0; per-vertex weights on disk sum to 1 (err 3.0e-08); the re-imported vertex groups match the authored groups <strong>bit-exactly</strong> (w_err 0.0), compared as straddle-safe position keys, the same protocol as the crate example.</li><li><strong>The deformation survives.</strong> Posed identically, the re-imported rig&#x27;s evaluated mesh matches the original&#x27;s within 4.8e-07 — linear blend skinning through the file format. The comparison is by rest-position key, never sorted multisets: the exporter welds duplicate loops (32 here), so cardinalities differ and a naive sorted zip mispairs vertices (a phantom 2.29 &quot;deviation&quot; measured and fixed during authoring).</li><li><strong>The mesh must be parented to the armature.</strong> The exporter warns &quot;Armature must be the parent of skinned mesh&quot; and picks an armature by name otherwise — with two rigs in the file it can bind the wrong one.</li></ul>
 <p><strong>What each check catches on failure:</strong> exporting with <code>export_skins=False</code> (exit 5 — no skin on disk), stripping the weights (exit 4 — no vertex groups), and posing the re-imported rig differently (exit 19 — deformation deviates 0.90).</p>
 <p><strong>Version witness:</strong> the skins pipeline is stable between Blender 4.5 LTS and 5.1 — the exporter/importer RNA is byte-identical (probed with <code>gltf-export-roundtrip</code>), and every measured value matches to the digit on 4.5.11 and 5.1.2.</p>
-<p>The render stages the authored scorpion beside the actual re-imported one — same curl, same glowing stinger — proof the skin rode the format through.</p>
+<p>The render stages the authored scorpion beside the actual re-imported one — same curl, same glowing stinger — proof the skin rode the format through. Both rigs are turned three-quarters to the camera. The tail curls in the rig&#x27;s own Y-Z plane, so a head-on view saw the curl end-on: the tail stood straight up behind the body like a chimney. The yaw is composed into each armature&#x27;s world matrix, because the glTF importer leaves its armature in quaternion mode, where <code>rotation_euler</code> does nothing.</p>
 <h2>Run</h2>
 <pre><code># Cheap correctness check (no render) — the CI check:
 blender --background --python gltf_skin_roundtrip.py --
@@ -360,6 +360,10 @@ <h2>Source</h2>
 REST_TOL = <span class="n">1e-5</span>                 <span class="c"># rest-matrix round-trip tolerance</span>
 LBS_TOL = <span class="n">5e-4</span>
 KEY_DIGITS = <span class="n">4</span>
+<span class="c"># render staging only (not part of the check): each rig&#x27;s X offset and its</span>
+<span class="c"># yaw, so the tail&#x27;s curl (in the rig&#x27;s Y-Z plane) is seen in profile</span>
+STILL_X = <span class="n">1.0</span>
+STILL_YAW = -<span class="n">50.0</span>
 
 EXPORT_KWARGS = dict(
     export_format=<span class="s">&#x27;GLTF_SEPARATE&#x27;</span>,
@@ -897,9 +901,20 @@ <h2>Source</h2>
             authored.data.materials.append(m)
         assign_weights(authored, part_of2)
         authored_arm = build_rig(authored)
-        <span class="c"># move the ARMATURES; the skinned meshes follow as children</span>
-        authored_arm.location.x = -<span class="n">1.1</span>
-        roundtrip_arm.location.x = <span class="n">1.1</span>
+        <span class="c"># move the ARMATURES; the skinned meshes follow as children. Each is</span>
+        <span class="c"># turned three-quarters to the camera: seen head-on, the tail stood</span>
+        <span class="c"># straight up behind the body like a chimney and the scorpion read</span>
+        <span class="c"># as a boxy robot; side-on, the arch of the tail over the back and</span>
+        <span class="c"># the legs down its flanks carry the read.</span>
+        <span class="c"># The yaw is composed into the world matrix about the rig&#x27;s own</span>
+        <span class="c"># origin: the glTF importer leaves its armature in quaternion mode,</span>
+        <span class="c"># where rotation_euler does nothing.</span>
+        <span class="k">for</span> arm, x <span class="k">in</span> ((authored_arm, -STILL_X), (roundtrip_arm, STILL_X)):
+            arm.location.x = x
+            bpy.context.view_layer.update()
+            at = mathutils.Matrix.Translation(arm.matrix_world.translation)
+            arm.matrix_world = (at @ mathutils.Matrix.Rotation(
+                math.radians(STILL_YAW), <span class="n">4</span>, <span class="s">&#x27;Z&#x27;</span>) @ at.inverted() @ arm.matrix_world)
         <span class="k">if</span> <span class="k">not</span> render_still(authored, os.path.abspath(args.output), args.engine):
             print(<span class="s">&quot;ERROR: render produced no file&quot;</span>, file=sys.stderr)
             <span class="k">return</span> <span class="n">20</span>
diff --git a/docs/gallery/index.html b/docs/gallery/index.html
index 2e8a9dac..8f693cec 100644
--- a/docs/gallery/index.html
+++ b/docs/gallery/index.html
@@ -1036,12 +1036,12 @@ <h2><a href="park-bench/">park-bench</a></h2>
       </article>
       <article class="card" data-tags="mesh export showcase">
         <a class="card-media" href="wheelbarrow/" tabindex="-1" aria-hidden="true">
-          <img src="assets/wheelbarrow-hero.webp" alt="A wooden wheelbarrow whose tray walls are stacked boards held by iron straps, with a spoked front wheel and two long handles." loading="lazy" decoding="async" />
+          <img src="assets/wheelbarrow-hero.webp" alt="A wooden wheelbarrow with a flared tray of stacked boards held by iron straps, its front raked out over a spoked wheel, and two long shafts running from the handles under the tray to the axle." loading="lazy" decoding="async" />
         </a>
         <div class="card-body">
           <h2><a href="wheelbarrow/">wheelbarrow</a></h2>
           <p class="teaches">A procedural wooden wheelbarrow through UVs, bake, LOD, collider, and Unity glTF, asserting recomputed budgets rather than an API contract.</p>
-          <p class="witnesses"><span class="tag">witnesses</span> Recomputed: 2536 tris, two materials with 1157 wood and 190 metal faces, UVs in 0..1 with zero AABB overlap, outer AABB 1.556×0.630×0.572 m, zmin 0, hygiene 0, wall-floor seat 12 mm, spoke clearance 40 mm, two boards per side and front wall with 2 mm seams, LOD ratios in band (5.2 COLLAPSE leaner on LOD2), convex collider 90 tris, non-empty glTF. --skip-decimate exits 9 on LOD1; --stray-vert exits 15 on hygiene; --lift-z / --short-legs exit 16 on grounded; --fat-spokes / --float-walls / --wide-seams exit 17 on joint fit; --pipe-rim exits 18 on tread aspect.</p>
+          <p class="witnesses"><span class="tag">witnesses</span> Recomputed: 2440 tris, two materials with 1085 wood and 214 metal faces, UVs in 0..1 with zero AABB overlap, outer AABB 1.563x0.594x0.577 m, zmin 0, hygiene 0, both shafts one timber from grip to axle, tray flared 15 deg and raked 30 deg, wall-floor seat 8 mm, spoke clearance 52 mm, two boards per side and front wall with 2 mm seams measured in the wall&#x27;s plane, LOD ratios in band (5.2 COLLAPSE leaner on LOD2), convex collider 80 tris, non-empty glTF. --skip-decimate exits 9 on LOD1; --stray-vert exits 15 on hygiene; --lift-z / --short-legs exit 16 on grounded; --fat-spokes / --float-walls / --wide-seams exit 17 on joint fit; --pipe-rim exits 18 on tread aspect; --split-shafts exits 20 on shaft runs; --box-tray exits 21 on tray flare.</p>
           <a class="card-link" href="wheelbarrow/">View showcase piece<span class="sr-only"> wheelbarrow</span> <span aria-hidden="true">&rarr;</span></a>
         </div>
       </article>
diff --git a/examples/gltf-skin-roundtrip/README.md b/examples/gltf-skin-roundtrip/README.md
index a698837b..aa4ab7cd 100644
--- a/examples/gltf-skin-roundtrip/README.md
+++ b/examples/gltf-skin-roundtrip/README.md
@@ -46,6 +46,11 @@ deviates 0.90).
 
 The render stages the authored scorpion beside the actual re-imported one —
 same curl, same glowing stinger — proof the skin rode the format through.
+Both rigs are turned three-quarters to the camera. The tail curls in the
+rig's own Y-Z plane, so a head-on view saw the curl end-on: the tail stood
+straight up behind the body like a chimney. The yaw is composed into each
+armature's world matrix, because the glTF importer leaves its armature in
+quaternion mode, where `rotation_euler` does nothing.
 
 ## Run
 
diff --git a/examples/gltf-skin-roundtrip/gltf_skin_roundtrip.py b/examples/gltf-skin-roundtrip/gltf_skin_roundtrip.py
index f8ee5cd0..a91de97d 100644
--- a/examples/gltf-skin-roundtrip/gltf_skin_roundtrip.py
+++ b/examples/gltf-skin-roundtrip/gltf_skin_roundtrip.py
@@ -52,6 +52,10 @@
 REST_TOL = 1e-5                 # rest-matrix round-trip tolerance
 LBS_TOL = 5e-4
 KEY_DIGITS = 4
+# render staging only (not part of the check): each rig's X offset and its
+# yaw, so the tail's curl (in the rig's Y-Z plane) is seen in profile
+STILL_X = 1.0
+STILL_YAW = -50.0
 
 EXPORT_KWARGS = dict(
     export_format='GLTF_SEPARATE',
@@ -589,9 +593,20 @@ def main():
             authored.data.materials.append(m)
         assign_weights(authored, part_of2)
         authored_arm = build_rig(authored)
-        # move the ARMATURES; the skinned meshes follow as children
-        authored_arm.location.x = -1.1
-        roundtrip_arm.location.x = 1.1
+        # move the ARMATURES; the skinned meshes follow as children. Each is
+        # turned three-quarters to the camera: seen head-on, the tail stood
+        # straight up behind the body like a chimney and the scorpion read
+        # as a boxy robot; side-on, the arch of the tail over the back and
+        # the legs down its flanks carry the read.
+        # The yaw is composed into the world matrix about the rig's own
+        # origin: the glTF importer leaves its armature in quaternion mode,
+        # where rotation_euler does nothing.
+        for arm, x in ((authored_arm, -STILL_X), (roundtrip_arm, STILL_X)):
+            arm.location.x = x
+            bpy.context.view_layer.update()
+            at = mathutils.Matrix.Translation(arm.matrix_world.translation)
+            arm.matrix_world = (at @ mathutils.Matrix.Rotation(
+                math.radians(STILL_YAW), 4, 'Z') @ at.inverted() @ arm.matrix_world)
         if not render_still(authored, os.path.abspath(args.output), args.engine):
             print("ERROR: render produced no file", file=sys.stderr)
             return 20
diff --git a/examples/gltf-skin-roundtrip/preview.webp b/examples/gltf-skin-roundtrip/preview.webp
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