Ditetragonary tritetragonal tiling
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| Ditetragonary tritetragonal tiling | |
|---|---|
 | |
| Rank | 3 |
| Type | Uniform |
| Space | Hyperbolic |
| Notation | |
| Bowers style acronym | |
| Coxeter diagram | x3o4o4*a (    ) |
| Elements | |
| Faces | 4N triangles, 3N squares |
| Edges | 12N |
| Vertices | 3N |
| Vertex figure | Ditetragon, edge lengths 1 and √2 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Ditetetrat |
| Regiment | Ditetetrat |
| Abstract & topological properties | |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | (4,4,3) |
| Convex | Yes |
The ditetragonary tritetragonal tiling or ditetetrat is a uniform tiling of the hyperbolic plane. 4 triangles and 4 squares join at each vertex.
It is also called the alternated order-4 hexagonal tiling, as it can be formed by alternation of the order-4 hexagonal tiling.
It is based on the (4,4,3) triangle group.
External links[edit | edit source]
- Klitzing, Richard. "ditetetrat".
- Wikipedia contributors. "Alternated order-4 hexagonal tiling".
