Tetrakis square tiling
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| Tetrakis square tiling | |
|---|---|
 | |
| Rank | 3 |
| Type | Uniform dual |
| Space | Euclidean |
| Notation | |
| Coxeter diagram | m4m4o |
| Elements | |
| Faces | 4N isosceles triangles |
| Edges | 2N+4N |
| Vertices | N+N |
| Vertex figure | N octagons, N squares |
| Related polytopes | |
| Dual | Truncated square tiling |
| Conjugate | Great tetrakis square tiling |
| Abstract & topological properties | |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | R3 |
| Convex | Yes |
| Nature | Tame |
The tetrakis square tiling is an isohedral tiling with isosceles triangles for faces, joining 4 or 8 to a vertex. It is the dual of the uniform truncated square tiling.
Each face of this tiling is an isosceles right triangle, with the base times the side edges, 2 45° angles, and one 90° angle.
External links[edit | edit source]
- Wikipedia contributors. "Tetrakis square tiling".