The Tiling Atlas
A catalogue of tilings of the plane, the sphere, and the hyperbolic plane.
ctrnact-star-k7-n0315 · 3.4.4*.6 · k = 7
Nine collections
The collections
k ≤ 6 complete
Library
123,669 Euclidean tilings
Every tiling on a filterable shelf: geometry, tile class, symmetry.
11uniform
11 · proven
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.
infinite
Hyperbolic
9,700,703 tilings
Tilings of the hyperbolic plane, developed into the Poincaré disk.
infinite
Parquet deformations
1 family, parametric
Tilings that deform across a strip, in the tradition of Huff and Hofstadter.
93 · proven
Isohedral
93 types, IH1 to IH93
Every tiling with one tile up to symmetry, with its corners and edges live.
15 · proven
Pentagons
15 types
The convex pentagons that tile the plane, a list Rao closed in 2017.