Penrose Grid

Variable non-periodic tiling Variable non-periodic tiling

A variable canvas with a non-periodic Penrose tiling. The geometry that covers the plane without ever repeating itself.

About this size

Penrose tilings are aperiodic: two simple tile shapes (kite-and-dart, or two rhombi) cover an infinite plane without the pattern ever repeating. The geometry was discovered by Roger Penrose in the 1970s and turned out to describe certain crystalline structures in nature.

For design, the appeal is variety without seams. Repeating patterns reveal their tile boundary at scale; Penrose patterns never do, which makes them useful for backgrounds and large surfaces where the eye would catch a repeat.

Tiling studies
Mathematical art
Pattern work

Pro tips

1 Penrose tilings cover the plane without ever repeating. Useful when patterns need variety without obvious seams.
2 Two tile shapes (kite-and-dart or two rhombi) generate all standard Penrose tilings.
3 Reads as mathematically intentional even when the viewer cannot name what they are seeing. The lack of repetition registers subconsciously.