diff --git a/src/geo/tileRanger.ts b/src/geo/tileRanger.ts
index 60ac31c..8003d78 100644
--- a/src/geo/tileRanger.ts
+++ b/src/geo/tileRanger.ts
@@ -149,10 +149,11 @@ export class TileRanger {
     if (verbose) {
       console.log("find minimal zoom where the the area can be converted by area the size of single tile to skip levels that can't have full hashes");
     }
-    const dx = boundingRange.maxX - boundingRange.minX;
-    const dy = boundingRange.maxY - boundingRange.minY;
-    const minXZoom = Math.max(Math.floor(Math.log2(1 << (zoom + 1)) / dx) - 1, 0);
-    const minYZoom = Math.max(Math.floor(Math.log2(1 << zoom) / dy), 0);
+
+    const xTilesCount = boundingRange.maxX - boundingRange.minX + 1;
+    const yTilesCount = boundingRange.maxY - boundingRange.minY + 1;
+    const minXZoom = Math.max(Math.floor((zoom + 1) / xTilesCount) - 1, 0);
+    const minYZoom = Math.max(Math.floor(zoom / yTilesCount), 0);
     const minZoom = Math.min(minXZoom, minYZoom);
 
     if (verbose) {
diff --git a/tests/unit/geo/tileRanger.spec.ts b/tests/unit/geo/tileRanger.spec.ts
index 8aba55d..dffd340 100644
--- a/tests/unit/geo/tileRanger.spec.ts
+++ b/tests/unit/geo/tileRanger.spec.ts
@@ -141,6 +141,28 @@ describe('TileRanger', () => {
       ];
       expect(tileRanges).toEqual(expectedRanges);
     });
+
+    it('encodes non-bbox polygon whose bounding range is a single tile', async () => {
+      // Triangle fully within tile {x: 0, y: 1, zoom: 1}, which covers lon [-180, -90] lat [0, 90].
+      // This exercises the single-tile edge case where xTilesCount=1, yTilesCount=1.
+      const poly = polygon([
+        [
+          [-170, 10],
+          [-100, 10],
+          [-135, 80],
+          [-170, 10],
+        ],
+      ]);
+
+      const tileRanges = [];
+      const gen = ranger.encodeFootprint(poly, 1);
+      for await (const range of gen) {
+        tileRanges.push(range);
+      }
+
+      const expectedRanges = [{ minX: 0, maxX: 0, minY: 1, maxY: 1, zoom: 1 }];
+      expect(tileRanges).toEqual(expectedRanges);
+    });
   });
 
   describe('generateTiles', () => {