Bitetrahedral honeycomb
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Bitetrahedral honeycomb | |
---|---|
Rank | 4 |
Type | Isogonal |
Space | Euclidean |
Notation | |
Bowers style acronym | Bithon |
Coxeter diagram | xo3oo3oo3ox3*a&#zy |
Elements | |
Cells | N tetrahedra, 2N triangular antiprisms |
Faces | 4N triangles, 6N isosceles triangles |
Edges | 2N+6N |
Vertices | N |
Vertex figure | Order-3 truncated triakis tetrahedron |
Measures (based on two tetrahedral-octahedral honeycombs of edge length 1) | |
Edge lengths | Lacing edges (2N): |
Base edges (6N): 1 | |
Related polytopes | |
Army | Bithon |
Regiment | Bithon |
Dual | Triakis truncated tetrahedral honeycomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | P4×2 |
Convex | Yes |
Nature | Tame |
The bitetrahedral honeycomb or bithon is an isogonal honeycomb that consists of tetrahedra and triangular antiprisms. 4 tetrahedra and 12 triangular antiprisms join at each vertex. It can be obtained as the Delaunay hull of two tetrahedral-octahedral honeycombs.
The ratio between the longest and shortest edges is .
External links[edit | edit source]
- Klitzing, Richard. "bithon".