Penrose Kite & Dart

Depth 0 shows five kites around a shared tip. Each step divides oriented Robinson half-tiles into smaller half-tiles at the golden-ratio scale, then joins mirrored halves along their marked symmetry edges. Blue kites are convex; yellow darts have a concave notch. Their two edge lengths and areas are related by φ ≈ 1.618.

Choose a depth and generate. Increasing depth shows finer detail within the same outer patch. Unpaired half-tiles along the outer boundary are omitted. This is a deterministic finite P2 patch, not an interactive matching-rule editor or a proof about every possible tiling. Download PNG saves the current view.