diff --git a/site/components/InteractiveGraphics/InteractiveGraphics.tsx b/site/components/InteractiveGraphics/InteractiveGraphics.tsx
index de014e1..f4e4cb1 100644
--- a/site/components/InteractiveGraphics/InteractiveGraphics.tsx
+++ b/site/components/InteractiveGraphics/InteractiveGraphics.tsx
@@ -27,6 +27,7 @@ import { Polygon } from "./Polygon"
 import { Rect } from "./Rect"
 import { Text } from "./Text"
 import { Tooltip } from "./Tooltip"
+import { getFilteredAndLimitedGraphics } from "./object-limit"
 import {
   useDoesLineIntersectViewport,
   useFilterArrows,
@@ -421,65 +422,61 @@ export const InteractiveGraphics = ({
     filterLayerAndStep,
   })
 
-  const filterAndLimit = <T,>(
-    objects: T[] | undefined,
-    filterFn: (obj: T) => boolean,
-  ): (T & { originalIndex: number })[] => {
-    if (!objects) return []
-    const filtered = objects
-      .map((obj, index) => ({ ...obj, originalIndex: index }))
-      .filter(filterFn)
-    return objectLimit ? filtered.slice(-objectLimit) : filtered
-  }
+  const {
+    lines: filteredLinesUnsorted,
+    infiniteLines: filteredInfiniteLines,
+    rects: filteredRectsUnsorted,
+    polygons: filteredPolygons,
+    points: filteredPoints,
+    circles: filteredCircles,
+    texts: filteredTexts,
+    arrows: filteredArrows,
+    totalFilteredObjects,
+    isLimitReached,
+  } = useMemo(
+    () =>
+      getFilteredAndLimitedGraphics(
+        graphics,
+        {
+          lines: filterLines,
+          infiniteLines: filterLayerAndStep,
+          rects: filterRects,
+          polygons: filterPolygons,
+          points: filterPoints,
+          circles: filterCircles,
+          texts: filterTexts,
+          arrows: filterArrows,
+        },
+        objectLimit,
+      ),
+    [
+      graphics,
+      filterLines,
+      filterLayerAndStep,
+      filterRects,
+      filterPolygons,
+      filterPoints,
+      filterCircles,
+      filterTexts,
+      filterArrows,
+      objectLimit,
+    ],
+  )
 
   const filteredLines = useMemo(
     () =>
-      filterAndLimit(graphics.lines, filterLines).sort(
+      filteredLinesUnsorted.sort(
         (a, b) =>
           (a.zIndex ?? 0) - (b.zIndex ?? 0) ||
           a.originalIndex - b.originalIndex,
       ),
-    [graphics.lines, filterLines, objectLimit],
-  )
-  const filteredInfiniteLines = useMemo(
-    () => filterAndLimit(graphics.infiniteLines, filterLayerAndStep),
-    [graphics.infiniteLines, filterLayerAndStep, objectLimit],
+    [filteredLinesUnsorted],
   )
+
   const filteredRects = useMemo(
-    () => sortRectsByArea(filterAndLimit(graphics.rects, filterRects)),
-    [graphics.rects, filterRects, objectLimit],
+    () => sortRectsByArea(filteredRectsUnsorted),
+    [filteredRectsUnsorted],
   )
-  const filteredPolygons = useMemo(
-    () => filterAndLimit(graphics.polygons, filterPolygons),
-    [graphics.polygons, filterPolygons, objectLimit],
-  )
-  const filteredPoints = useMemo(
-    () => filterAndLimit(graphics.points, filterPoints),
-    [graphics.points, filterPoints, objectLimit],
-  )
-  const filteredCircles = useMemo(
-    () => filterAndLimit(graphics.circles, filterCircles),
-    [graphics.circles, filterCircles, objectLimit],
-  )
-  const filteredTexts = useMemo(
-    () => filterAndLimit(graphics.texts, filterTexts),
-    [graphics.texts, filterTexts, objectLimit],
-  )
-  const filteredArrows = useMemo(
-    () => filterAndLimit(graphics.arrows, filterArrows),
-    [graphics.arrows, filterArrows, objectLimit],
-  )
-
-  const totalFilteredObjects =
-    filteredInfiniteLines.length +
-    filteredLines.length +
-    filteredRects.length +
-    filteredPolygons.length +
-    filteredPoints.length +
-    filteredCircles.length +
-    filteredTexts.length +
-    filteredArrows.length
-  const isLimitReached = objectLimit && totalFilteredObjects > objectLimit
 
   return (
     <div>
diff --git a/site/components/InteractiveGraphics/object-limit.ts b/site/components/InteractiveGraphics/object-limit.ts
new file mode 100644
index 0000000..679abb1
--- /dev/null
+++ b/site/components/InteractiveGraphics/object-limit.ts
@@ -0,0 +1,152 @@
+import type {
+  Arrow,
+  Circle,
+  GraphicsObject,
+  InfiniteLine,
+  Line,
+  Point,
+  Polygon,
+  Rect,
+  Text,
+} from "../../../lib/types"
+
+export type GraphicsObjectType =
+  | "lines"
+  | "infiniteLines"
+  | "rects"
+  | "polygons"
+  | "points"
+  | "circles"
+  | "texts"
+  | "arrows"
+
+export type IndexedGraphicsObject<T> = T & {
+  originalIndex: number
+}
+
+export type LimitedGraphicsCollections = {
+  lines: IndexedGraphicsObject<Line>[]
+  infiniteLines: IndexedGraphicsObject<InfiniteLine>[]
+  rects: IndexedGraphicsObject<Rect>[]
+  polygons: IndexedGraphicsObject<Polygon>[]
+  points: IndexedGraphicsObject<Point>[]
+  circles: IndexedGraphicsObject<Circle>[]
+  texts: IndexedGraphicsObject<Text>[]
+  arrows: IndexedGraphicsObject<Arrow>[]
+  totalFilteredObjects: number
+  totalDisplayedObjects: number
+  isLimitReached: boolean
+}
+
+const GRAPHICS_OBJECT_TYPES: GraphicsObjectType[] = [
+  "lines",
+  "infiniteLines",
+  "rects",
+  "polygons",
+  "points",
+  "circles",
+  "texts",
+  "arrows",
+]
+
+type FilterMap = {
+  lines: (obj: Line) => boolean
+  infiniteLines: (obj: InfiniteLine) => boolean
+  rects: (obj: Rect) => boolean
+  polygons: (obj: Polygon) => boolean
+  points: (obj: Point) => boolean
+  circles: (obj: Circle) => boolean
+  texts: (obj: Text) => boolean
+  arrows: (obj: Arrow) => boolean
+}
+
+export const getFilteredAndLimitedGraphics = (
+  graphics: GraphicsObject,
+  filters: FilterMap,
+  objectLimit?: number,
+): LimitedGraphicsCollections => {
+  const filteredCollections = {
+    lines: (graphics.lines ?? [])
+      .map((obj, originalIndex) => ({ ...obj, originalIndex }))
+      .filter(filters.lines),
+    infiniteLines: (graphics.infiniteLines ?? [])
+      .map((obj, originalIndex) => ({ ...obj, originalIndex }))
+      .filter(filters.infiniteLines),
+    rects: (graphics.rects ?? [])
+      .map((obj, originalIndex) => ({ ...obj, originalIndex }))
+      .filter(filters.rects),
+    polygons: (graphics.polygons ?? [])
+      .map((obj, originalIndex) => ({ ...obj, originalIndex }))
+      .filter(filters.polygons),
+    points: (graphics.points ?? [])
+      .map((obj, originalIndex) => ({ ...obj, originalIndex }))
+      .filter(filters.points),
+    circles: (graphics.circles ?? [])
+      .map((obj, originalIndex) => ({ ...obj, originalIndex }))
+      .filter(filters.circles),
+    texts: (graphics.texts ?? [])
+      .map((obj, originalIndex) => ({ ...obj, originalIndex }))
+      .filter(filters.texts),
+    arrows: (graphics.arrows ?? [])
+      .map((obj, originalIndex) => ({ ...obj, originalIndex }))
+      .filter(filters.arrows),
+  }
+
+  const totalFilteredObjects = Object.values(filteredCollections).reduce(
+    (sum, objects) => sum + objects.length,
+    0,
+  )
+
+  if (!objectLimit || objectLimit <= 0 || totalFilteredObjects <= objectLimit) {
+    return {
+      ...filteredCollections,
+      totalFilteredObjects,
+      totalDisplayedObjects: totalFilteredObjects,
+      isLimitReached: false,
+    }
+  }
+
+  const keptKeys = new Set<string>()
+  const flattened = GRAPHICS_OBJECT_TYPES.flatMap((type) =>
+    filteredCollections[type].map((obj) => ({
+      type,
+      key: `${type}:${obj.originalIndex}`,
+    })),
+  )
+  const limitedObjects = flattened.slice(-objectLimit)
+  for (const entry of limitedObjects) keptKeys.add(entry.key)
+
+  const limitedCollections = {
+    lines: filteredCollections.lines.filter((obj) =>
+      keptKeys.has(`lines:${obj.originalIndex}`),
+    ),
+    infiniteLines: filteredCollections.infiniteLines.filter((obj) =>
+      keptKeys.has(`infiniteLines:${obj.originalIndex}`),
+    ),
+    rects: filteredCollections.rects.filter((obj) =>
+      keptKeys.has(`rects:${obj.originalIndex}`),
+    ),
+    polygons: filteredCollections.polygons.filter((obj) =>
+      keptKeys.has(`polygons:${obj.originalIndex}`),
+    ),
+    points: filteredCollections.points.filter((obj) =>
+      keptKeys.has(`points:${obj.originalIndex}`),
+    ),
+    circles: filteredCollections.circles.filter((obj) =>
+      keptKeys.has(`circles:${obj.originalIndex}`),
+    ),
+    texts: filteredCollections.texts.filter((obj) =>
+      keptKeys.has(`texts:${obj.originalIndex}`),
+    ),
+    arrows: filteredCollections.arrows.filter((obj) =>
+      keptKeys.has(`arrows:${obj.originalIndex}`),
+    ),
+  }
+
+  return {
+    ...limitedCollections,
+    totalFilteredObjects,
+    totalDisplayedObjects: objectLimit,
+    isLimitReached: true,
+  }
+}
diff --git a/tests/objectLimit.test.ts b/tests/objectLimit.test.ts
new file mode 100644
index 0000000..3b666ea
--- /dev/null
+++ b/tests/objectLimit.test.ts
@@ -0,0 +1,109 @@
+import { describe, expect, test } from "bun:test"
+import type { GraphicsObject } from "../lib"
+import { getFilteredAndLimitedGraphics } from "../site/components/InteractiveGraphics/object-limit"
+
+const createGraphics = (): GraphicsObject => ({
+  rects: [
+    {
+      center: { x: 200, y: 100 },
+      width: 50,
+      height: 100,
+      layer: "layer1",
+      step: 0,
+    },
+    {
+      center: { x: 250, y: 100 },
+      width: 50,
+      height: 100,
+      layer: "layer1",
+      step: 1,
+    },
+    {
+      center: { x: 300, y: 100 },
+      width: 50,
+      height: 100,
+      layer: "layer1",
+      step: 2,
+    },
+  ],
+  points: [
+    {
+      x: 0,
+      y: 0,
+      layer: "layer1",
+    },
+    {
+      x: 50,
+      y: 0,
+      layer: "layer2",
+    },
+    {
+      x: 100,
+      y: 0,
+      layer: "layer3",
+    },
+  ],
+  circles: [
+    {
+      center: { x: 400, y: 100 },
+      radius: 25,
+      fill: "blue",
+      stroke: "black",
+      layer: "layer1",
+      step: 0,
+      label: "Circle 1",
+    },
+  ],
+})
+
+describe("getFilteredAndLimitedGraphics", () => {
+  test("limits across all object types after filters are applied", () => {
+    const graphics = createGraphics()
+
+    const result = getFilteredAndLimitedGraphics(
+      graphics,
+      {
+        lines: () => true,
+        infiniteLines: () => true,
+        rects: (rect) => rect.layer === "layer1" && rect.step === 0,
+        polygons: () => true,
+        points: (point) => point.layer === "layer1",
+        circles: (circle) => circle.layer === "layer1" && circle.step === 0,
+        texts: () => true,
+        arrows: () => true,
+      },
+      3,
+    )
+
+    expect(result.totalFilteredObjects).toBe(3)
+    expect(result.isLimitReached).toBe(false)
+    expect(result.rects).toHaveLength(1)
+    expect(result.points).toHaveLength(1)
+    expect(result.circles).toHaveLength(1)
+  })
+
+  test("enforces a single shared limit across categories using post-filter ordering", () => {
+    const graphics = createGraphics()
+
+    const result = getFilteredAndLimitedGraphics(
+      graphics,
+      {
+        lines: () => true,
+        infiniteLines: () => true,
+        rects: () => true,
+        polygons: () => true,
+        points: () => true,
+        circles: () => true,
+        texts: () => true,
+        arrows: () => true,
+      },
+      3,
+    )
+
+    expect(result.totalFilteredObjects).toBe(7)
+    expect(result.isLimitReached).toBe(true)
+    expect(result.rects).toHaveLength(0)
+    expect(result.points.map((point) => point.originalIndex)).toEqual([1, 2])
+    expect(result.circles.map((circle) => circle.originalIndex)).toEqual([0])
+  })
+})