diff --git a/doc/examples/isometric/lib/main.dart b/doc/examples/isometric/lib/main.dart
index 37617b2a3..961bafd89 100644
--- a/doc/examples/isometric/lib/main.dart
+++ b/doc/examples/isometric/lib/main.dart
@@ -17,9 +17,17 @@ class MyGame extends BaseGame {
   void init() async {
     final tileset = await IsometricTileset.load('tiles.png', 32);
     final matrix = [
-      [-1, 1, 0, 0],
-      [1, 1, 0, 2],
+      [-1, 1, 1, 1, 0, 0],
+      [-1, 1, 2, 1, 0, 0],
+      [-1, 0, 1, 1, 0, 0],
+      [-1, 1, 1, 1, 0, 0],
+      [1, 1, 1, 1, 0, 2],
+      [1, 3, 3, 3, 0, 2],
     ];
-    add(IsometricTileMapComponent(tileset, matrix));
+    add(
+      IsometricTileMapComponent(tileset, matrix)
+        ..x = 100
+        ..y = 100,
+    );
   }
 }
diff --git a/lib/components/isometric_tile_map_component.dart b/lib/components/isometric_tile_map_component.dart
index 57d16940f..08f0d6888 100644
--- a/lib/components/isometric_tile_map_component.dart
+++ b/lib/components/isometric_tile_map_component.dart
@@ -46,7 +46,7 @@ class IsometricTileMapComponent extends PositionComponent {
   void render(Canvas c) {
     prepareCanvas(c);
 
-    final s = effectiveTileSize.toDouble();
+    final s = effectiveTileSize.toDouble() / 2;
     matrix.asMap().forEach((i, line) {
       line.asMap().forEach((j, element) {
         if (element == -1) {
@@ -54,8 +54,20 @@ class IsometricTileMapComponent extends PositionComponent {
         }
 
         final sprite = tileset.getTile(element);
-        sprite.renderPosition(c, Position(j * s, i * s));
+        sprite.renderPosition(c, cartToIso(Position(j * s, i * s)));
       });
     });
   }
+
+  Position isoToCart(Position p) {
+    final x = (2 * p.y + p.x) / 2;
+    final y = (2 * p.y - p.x) / 2;
+    return Position(x, y);
+  }
+
+  Position cartToIso(Position p) {
+    final x = p.x - p.y;
+    final y = (p.x + p.y) / 2;
+    return Position(x, y);
+  }
 }