Retrosnub square tiling
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| Retrosnub square tiling | |
|---|---|
 | |
| Rank | 3 |
| Type | Uniform |
| Space | Euclidean |
| Notation | |
| Bowers style acronym | Rasisquat |
| Coxeter diagram | s4/3s4o (     ) |
| Elements | |
| Faces | 2N triangles, N squares |
| Edges | N+4N |
| Vertices | 2N |
| Vertex figure | Mirror-symmetric pentagram, edge lengths 1, 1, √2, 1, √2 |
| Related polytopes | |
| Army | Snasquat |
| Regiment | Rasisquat |
| Conjugate | Snub square tiling |
| Abstract & topological properties | |
| Flag count | 20N |
| Orientable | Yes |
| Properties | |
| Symmetry | R3/2 |
| Chiral | No |
| Convex | No |
| Nature | Tame |
The retrosnub square tiling, or rasisquat, is a non-convex uniform tiling of the Euclidean plane. 3 triangles and 2 squares (seen as 4/3-gons) join at each vertex of this tiling. It can be formed by alternation of the quasitruncated square tiling, followed by adjustment of edge lengths to be all equal.
Representations[edit | edit source]
A retrosnub square tiling has the following Coxeter diagrams:
- s4/3s4o () (full symmetry)
- s4/3s4/3s () (half symmetry)
External links[edit | edit source]
- Klitzing, Richard. "rasisquat".
- McNeill, Jim. "Star Tesselations Type 13".