This project was initiated by Tick Wang, a puzzle enthusiast from Shanghai, in 2023, as an addendum to our pentagon-based family of sets. Tick explored tilings with ten copies each of just three shapes, each in its own color. Left to right: golden-ratio triangle (blue), kite (red), long kite (yellow) .

Here are a few sample solutions by Tick, using various combinations of the three tiles.

Create your own beautiful patterns. Send us your favorites to add to our gallery! Email photos to: kadon@gamepuzzles.com

The Penta-Mosaik tiles can form the two sizes of rhombs also known as Penrose Diamonds.

They can make periodic tilings when arranged chessboard-like (below).

They can also form nonperiodic tilings when following the Penrose rules (as in the solutions at top and below), and embed from 0 to 5 rhomb pairs into decagons. The prettiest ones are symmetrical, though that is not a requirement. Solutions by Kate Jones: