Heptagonal tiling honeycomb
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| Heptagonal tiling honeycomb | |
|---|---|
 | |
| Rank | 4 |
| Type | Regular |
| Space | Hyperbolic, noncompact |
| Notation | |
| Coxeter diagram | x7o3o3o (    ) |
| Schläfli symbol | {7,3,3} |
| Elements | |
| Cells | Heptagonal tilings |
| Faces | Heptagons |
| Vertex figure | Tetrahedron |
| Related polytopes | |
| Army | * |
| Regiment | * |
| Dual | Order-7 tetrahedral honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | [7,3,3] |
| Convex | Yes |
The (order-3) heptagonal tiling honeycomb is a hypercompact regular tiling of 3D hyperbolic space. Each cell is a heptagonal tiling whose vertices lie on a 2-hypercycle. 3 heptagonal tilings meet at each edge, and 4 meet at each vertex.
Related polytopes[edit | edit source]
External links[edit | edit source]
- Wikipedia contributors. "Heptagonal tiling honeycomb".
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