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
Famous quotes containing the word examples:
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)
“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (1533–1592)
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)