The Tiling Atlas
A catalogue of tilings of the plane, the sphere, and the hyperbolic plane.
Run your own searches: pick the tiles, choose k, and the desktop app finds every tiling. For macOS and Windows. All platforms
Nine collections
The collections
Library
123,669 Euclidean tilings
Every tiling on a filterable shelf: geometry, tile class, symmetry.
Uniform tilings
11 uniform tilings
The three regular and eight semiregular tilings, and why there are exactly eleven. Every shelf has articles like this one behind the book button in its corner.
Hyperbolic
9,724,161 tilings
Tilings of the hyperbolic plane, developed into the Poincaré disk.
Parquet deformations
1 family, parametric
Tilings that deform across a strip, in the tradition of Huff and Hofstadter.
Isohedral
93 types, IH1 to IH93
Every tiling with one tile up to symmetry, with its corners and edges live.
Pentagons
15 types
The convex pentagons that tile the plane, a list Rao closed in 2017.