Examples
| 2-dimensional tessellations | |||
|---|---|---|---|
| Spherical | Euclidean | Hyperbolic | |
| Picture | Truncated icosidodecahedron. |
Truncated trihexagonal tiling. |
(Poincaré disk model) The truncated triheptagonal tiling is a uniform tessellation on the hyperbolic plane. |
| Vertex figure | |||
| Coxeter-Dynkin | |||
| 3-dimensional tessellations | |||
| 3-spherical | 3-Euclidean | 3-hyperbolic | |
| Picture | (Stereographic projection) The regular 16-cell |
The regular cubic honeycomb |
(Beltrami-Klein model) The regular order-4 dodecahedral honeycomb |
| Vertex figure | (Octahedron) |
(Octahedron) |
(Octahedron) |
| Coxeter-Dynkin | |||
Read more about this topic: Uniform Tessellation
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