Tetrahedral-octahedral honeycomb alterprism
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Tetrahedral-octahedral honeycomb alterprism | |
---|---|
Rank | 5 |
Type | Scaliform |
Space | Euclidean |
Notation | |
Coxeter diagram | xo3oo3ox *b4oo &#x |
Elements | |
Tera | 2 tetrahedral-octahedral honeycombs hexadecachora octahedral pyramids |
Cells | tetrahedra of 3 orbits octahedra |
Faces | triangles of 2 orbits |
Edges | 2 orbits |
Vertices | 1 orbit |
Vertex figure | Octahedron atop cuboctahedron |
Related polytopes | |
Army | * |
Regiment | * |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Convex | Yes |
Nature | Tame |
The tetrahedral-octahedral honeycomb alterprism is a scaliform slab honeycomb of 4D Euclidean space. It consists of 2 tetrahedral-octahedral honeycombs connected by hexadecachora and octahedral pyramids. Each vertex joins 1 tetrahedral-octahedral honeycomb, 8 hexadecachora, and 7 octahedral pyramids. It appears as a segment of the hexadecachoric tetracomb.