diff --git a/e2e/map.spec.ts b/e2e/map.spec.ts
index 2c0c981..b4df140 100644
--- a/e2e/map.spec.ts
+++ b/e2e/map.spec.ts
@@ -168,12 +168,18 @@ test('wheel zoom is clamped between min and max zoom', async ({ page }) => {
   await waitForStableZoom();
   expect(await getZoom()).toBeCloseTo(MAX_ZOOM);
 
-  // Zoom out well below MIN_ZOOM with several large deltas.
-  await jumpTo(MIN_ZOOM + 1);
-  await wheelToLimit(600, (z) => z <= MIN_ZOOM + 1e-9);
+  // Zoom out to the effective minimum. MapLibre won't zoom out past the point where
+  // the world no longer covers the viewport height (fit floor = log2(h/512)), so with
+  // MIN_ZOOM=0 the reachable limit is max(MIN_ZOOM, fitFloor) — "just far enough to see
+  // the whole Earth", which is exactly what min zoom should give.
+  const mapBox = await page.getByTestId('map').boundingBox();
+  if (!mapBox) throw new Error('map bounding box unavailable');
+  const minLimit = Math.max(MIN_ZOOM, Math.log2(mapBox.height / 512));
+  await jumpTo(minLimit + 1);
+  await wheelToLimit(600, (z) => z <= minLimit + 1e-9);
   await waitForStableZoom();
   const zoom = await getZoom();
-  expect(zoom).toBeCloseTo(MIN_ZOOM);
+  expect(zoom).toBeCloseTo(minLimit);
   expect(zoom).toBeGreaterThanOrEqual(MIN_ZOOM);
   expect(zoom).toBeLessThanOrEqual(MAX_ZOOM);
 });