Bitruncatocubic honeycomb
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Bitruncatocubic honeycomb | |
---|---|
Rank | 4 |
Type | Isogonal |
Space | Euclidean |
Notation | |
Bowers style acronym | Bitach |
Coxeter diagram | xo4xo3ox4ox&#zy |
Elements | |
Cells | 6N tetragonal disphenoids, 12N digonal disphenoids, N octahedra, 4N triangular antiprisms |
Faces | 8N triangles, 24N+24N isosceles triangles |
Edges | 3N+12N+24N |
Vertices | 6N |
Vertex figure | Octakis square cupola |
Measures (based on two truncated cubic honeycombs of edge length 1) | |
Edge lengths | Base edges (3N+12N): 1 |
Lacing edges (24N): | |
Related polytopes | |
Army | Bitach |
Regiment | Bitach |
Dual | Biapiculatocubic honeycomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | R4×2 |
Convex | Yes |
Nature | Tame |
The bitruncatocubic honeycomb or bitach is an isogonal honeycomb that consists of octahedra, triangular antiprisms, tetragonal disphenoids, and digonal disphenoids. 1 octahedron, 4 triangular antiprisms, 4 tetragonal disphenoids, and 8 digonal disphenoids join at each vertex. It can be obtained as the union of two truncated cubic honeycombs.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is .
External links[edit | edit source]
- Klitzing, Richard. "bitach".