diff --git a/src/lib/controls/gesture-math.js b/src/lib/controls/gesture-math.js
index adb5fa5..1c679c7 100644
--- a/src/lib/controls/gesture-math.js
+++ b/src/lib/controls/gesture-math.js
@@ -49,8 +49,18 @@ export function chooseRotationAxis({ hitFaceAxis, hitWorldPos, dx, dy, projectFn
 
     // Determine sign so that positive screen-drag along screenDirs[dragAxisIdx]
     // produces a rotation whose induced motion at hitWorldPos points the same way.
+    //
+    // Anchor the cross product to the face-normal axis only (drop in-plane
+    // components of hitWorldPos). For edge/corner cubies the in-plane
+    // components leak into motionWorld as a face-normal velocity (β·F̂),
+    // which projects onto screen and can flip signMul under tilted cameras —
+    // making drag-to-rotate go the OPPOSITE direction. Face-anchored motion
+    // is purely tangential, so signMul is identical for every cubie on the
+    // same face (the physically correct invariant).
+    const faceAnchor = new Vector3();
+    faceAnchor[hitFaceAxis] = hitWorldPos[hitFaceAxis];
     const motionWorld = new Vector3()
-        .crossVectors(AXIS_VECS[rotAxis], hitWorldPos)
+        .crossVectors(AXIS_VECS[rotAxis], faceAnchor)
         .normalize();
     const motionScreen = projectFn(hitWorldPos.clone().add(motionWorld)).sub(screenOrigin);
     const signMul = motionScreen.dot(drag) >= 0 ? 1 : -1;
diff --git a/tests/gesture-math.test.js b/tests/gesture-math.test.js
new file mode 100644
index 0000000..eaa900d
--- /dev/null
+++ b/tests/gesture-math.test.js
@@ -0,0 +1,114 @@
+// Face-invariance regression test for chooseRotationAxis.
+//
+// Bug: motionWorld = R̂ × hitWorldPos leaks a face-normal component (β·F̂)
+// for edge/corner cubies. Under a tilted projection, this leakage can flip
+// signMul, causing drag-to-rotate to go the OPPOSITE direction.
+//
+// Invariant: signMul and rotAxis must depend only on (hitFaceAxis, drag),
+// not on which cubie on the face was clicked. Face-center, edge, and corner
+// cubies on the same face MUST agree.
+//
+// See: plans/reports/brainstorm-260509-0954-edge-rotation-reverse-direction.md
+
+import { describe, it, expect } from 'vitest';
+import { Vector2, Vector3 } from 'three';
+import { chooseRotationAxis } from '../src/lib/controls/gesture-math.js';
+
+// Affine isometric-ish projection. Every world axis maps to a non-zero
+// screen component, exposing β-leakage. (If F̂ projected to zero on screen,
+// the bug would be invisible — but real orbit cameras tilt this way.)
+function isoProject(worldVec) {
+    return new Vector2(
+        worldVec.x - 0.5 * worldVec.z,
+        -(worldVec.y - 0.5 * worldVec.z)
+    );
+}
+
+const FACE_AXES = ['x', 'y', 'z'];
+const SIDES = [-1, 1];
+
+// Build cubie positions on a given face: center, 4 edges, 4 corners.
+function cubiesOnFace(faceAxis, faceSign) {
+    const inFaceAxes = FACE_AXES.filter((a) => a !== faceAxis);
+    const out = [];
+    const center = vecOnFace(faceAxis, faceSign, {});
+    out.push({ pos: center, kind: 'center' });
+    for (const a of inFaceAxes) {
+        for (const s of SIDES) {
+            out.push({ pos: vecOnFace(faceAxis, faceSign, { [a]: s }), kind: `edge±${a}` });
+        }
+    }
+    const [a, b] = inFaceAxes;
+    for (const sa of SIDES) {
+        for (const sb of SIDES) {
+            out.push({ pos: vecOnFace(faceAxis, faceSign, { [a]: sa, [b]: sb }), kind: `corner` });
+        }
+    }
+    return out;
+}
+
+function vecOnFace(faceAxis, faceSign, others) {
+    const o = { x: 0, y: 0, z: 0, ...others };
+    o[faceAxis] = faceSign;
+    return [o.x, o.y, o.z];
+}
+
+const DRAGS = [
+    { dx: 10, dy: 0, name: 'right' },
+    { dx: -10, dy: 0, name: 'left' },
+    { dx: 0, dy: 10, name: 'down' },
+    { dx: 0, dy: -10, name: 'up' }
+];
+
+function callChoose(faceAxis, pos, drag) {
+    return chooseRotationAxis({
+        hitFaceAxis: faceAxis,
+        hitWorldPos: new Vector3(...pos),
+        dx: drag.dx,
+        dy: drag.dy,
+        projectFn: isoProject
+    });
+}
+
+describe('chooseRotationAxis face-invariance: edges and corners agree with face-center', () => {
+    for (const faceAxis of FACE_AXES) {
+        for (const faceSign of SIDES) {
+            const sideName = `${faceSign > 0 ? '+' : '-'}${faceAxis}`;
+            const cubies = cubiesOnFace(faceAxis, faceSign);
+            const center = cubies[0];
+
+            for (const drag of DRAGS) {
+                it(`${sideName} face, drag ${drag.name}: 8 non-center cubies match center`, () => {
+                    const c = callChoose(faceAxis, center.pos, drag);
+                    for (const cubie of cubies.slice(1)) {
+                        const r = callChoose(faceAxis, cubie.pos, drag);
+                        const ctx = `${cubie.kind} @ (${cubie.pos.join(',')})`;
+                        expect(r.rotAxis, `rotAxis mismatch for ${ctx}`).toBe(c.rotAxis);
+                        expect(r.signMul, `signMul mismatch for ${ctx}`).toBe(c.signMul);
+                    }
+                });
+            }
+        }
+    }
+});
+
+describe('chooseRotationAxis: face-center sign convention smoke test', () => {
+    // Pin expected rotAxis for each face × cardinal drag at the face center.
+    // Locks in the convention so a future refactor of signMul math doesn't
+    // silently flip rotation direction.
+    const cases = [
+        ['x',  1, 'right', 'y'], ['x',  1, 'up',   'z'],
+        ['x', -1, 'right', 'y'], ['x', -1, 'up',   'z'],
+        ['y',  1, 'right', 'z'], ['y',  1, 'up',   'x'],
+        ['y', -1, 'right', 'z'], ['y', -1, 'up',   'x'],
+        ['z',  1, 'right', 'y'], ['z',  1, 'up',   'x'],
+        ['z', -1, 'right', 'y'], ['z', -1, 'up',   'x']
+    ];
+    for (const [faceAxis, faceSign, dragName, expectedRotAxis] of cases) {
+        it(`${faceSign > 0 ? '+' : '-'}${faceAxis} face, drag ${dragName} → rotAxis=${expectedRotAxis}`, () => {
+            const drag = DRAGS.find((d) => d.name === dragName);
+            const r = callChoose(faceAxis, vecOnFace(faceAxis, faceSign, {}), drag);
+            expect(r.rotAxis).toBe(expectedRotAxis);
+        });
+    }
+});