Quasitruncated trihexagonal tiling
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Quasitruncated trihexagonal tiling | |
---|---|
Rank | 3 |
Type | Uniform |
Space | Euclidean |
Notation | |
Bowers style acronym | Quitothit |
Coxeter diagram | x6/5x3x () |
Elements | |
Faces | 3N squares, 2N hexagons, N dodecagrams |
Edges | 6N+6N+6N |
Vertices | 12N |
Vertex figure | Scalene triangle, edge lengths √2, √3, (√6-√2)/2 |
Related polytopes | |
Army | Grothat |
Regiment | Quitothit |
Conjugate | Great rhombitrihexagonal tiling |
Abstract & topological properties | |
Flag count | 72N |
Orientable | Yes |
Properties | |
Symmetry | V3 |
Convex | No |
Nature | Tame |
The quasitruncated trihexagonal tiling, or quitothit, is a non-convex uniform tiling of the Euclidean plane. 1 square, 1 hexagon, and 1 dodecagram join at each vertex of this tiling. It can be formed as the quasicantitruncation of the hexagonal tiling or its dual triangular tiling.
External links[edit | edit source]
- Klitzing, Richard. "quitothit".
- McNeill, Jim. "Star Tesselations Type 8".