Bimesotruncatocubic honeycomb
Jump to navigation
Jump to search
Bimesotruncatocubic honeycomb | |
---|---|
Rank | 4 |
Type | Isogonal |
Space | Euclidean |
Notation | |
Bowers style acronym | Bimtich |
Coxeter diagram | oo4ab3ba4oo&#zc |
Elements | |
Cells | 4N ditrigonal trapezoprisms, N truncated octahedra |
Faces | 12N isosceles trapezoids, 3N squares, 8N ditrigons |
Edges | 6N+12N+12N |
Vertices | 12N |
Vertex figure | Notch |
Measures (for variant with trapezoids with 3 equal edges) | |
Edge lengths | Short base edges (12N): 1 |
Lacing edges (6N): 1 | |
Long base edges (12N): | |
Related polytopes | |
Army | Bimtich |
Regiment | Bimtich |
Dual | Bimesoapiculatocubic honeycomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | R4×2 |
Convex | Yes |
Nature | Tame |
The bimesotruncatocubic honeycomb or bimtich is an isogonal honeycomb that consists of truncated octahedra and ditrigonal trapezoprisms. 2 truncated octahedra and 4 ditrigonal trapezoprisms join at each vertex. It can be obtained as the union of two bitruncated cubic honeycombs with single symmetry only.
This honeycomb can be alternated into a snub bimesocubic honeycomb, which is also nonuniform.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is .
External links[edit | edit source]
- Klitzing, Richard. "bimtich".