Uniform Tessellation - Examples

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:

    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)

    No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.
    André Breton (1896–1966)

    Histories are more full of examples of the fidelity of dogs than of friends.
    Alexander Pope (1688–1744)