diff --git a/web/src/routeLayer.test.ts b/web/src/routeLayer.test.ts
index c8bdfab..45dc5c5 100644
--- a/web/src/routeLayer.test.ts
+++ b/web/src/routeLayer.test.ts
@@ -9,6 +9,7 @@ describe('historical route WebGL geometry', () => {
     expect(routeMayIntersectView([-179, 40], [-177, 41], [175, 39, 185, 42])).toBe(true);
     expect(routeMayIntersectView([179, 40], [180, 41], [-185, 39, -175, 42])).toBe(true);
     expect(routeMayIntersectView([0, 40], [1, 41], [175, 39, -175, 42])).toBe(false);
+    expect(routeMayIntersectView([10, 40], [-169, 40], [170, 39, -160, 41])).toBe(true);
   });
   it('keeps one exact line segment for every route', () => {
     const routes: Feature<LineString>[] = [
diff --git a/web/src/routeLayer.ts b/web/src/routeLayer.ts
index 2557728..d74d7d6 100644
--- a/web/src/routeLayer.ts
+++ b/web/src/routeLayer.ts
@@ -259,7 +259,8 @@ export function routeMayIntersectView(a: Coordinate, b: Coordinate, view: readon
   const padX = Math.max(0.025, span * 0.15);
   const padY = Math.max(0.025, (north - south) * 0.15);
   if (Math.max(a[1], b[1]) < south - padY || Math.min(a[1], b[1]) > north + padY) return false;
-  return span >= 360 || !(Math.max(x1, x2) < west - padX || Math.min(x1, x2) > west + span + padX);
+  return span >= 360 || [-360, 0, 360].some(offset =>
+    !(Math.max(x1, x2) + offset < west - padX || Math.min(x1, x2) + offset > west + span + padX));
 }
 
 function strokeVertices(segments: readonly StrokeSegment[], origin: [number, number, number] = [0, 0, 0]): Float32Array {