Great cupolic cubitesseractihexadecachoron
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Great cupolic cubitesseractihexadecachoron | |
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Rank | 4 |
Type | Scaliform |
Space | Spherical |
Notation | |
Bowers style acronym | Gacucoth |
Elements | |
Cells | 16 tet 8+16 cube 16 rasquacu (as 8 compounds of 2) |
Faces | 64 triangles 16+32+64 squares 8 octagrams |
Edges | 32+64 3-fold 64 4-fold 32 5-fold |
Vertices | 64 |
Vertex figure | Faceting of triangular podium |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Tat |
Regiment | Gittith |
Conjugate | Small cupolic cubitesseractihexadecachoron |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | B2≀S2, order 128 |
Convex | No |
Nature | Wild |
The great cupolic cubitesseractihexadecachoron or gacucoth is a scaliform polychoron that consists of 16 tetrahedra, 8+16 cubes, and 16 retrograde square cupolas which are in pairs that are a blend of a quasirhombicuboctahedron with an octagrammic prism. 1 tetrahedron, 3 cubes, and 3 retrograde square cupolas meet each vertex.
It can be formed as a blend of a great tesseractifaceted cubitesseractihexadecachoron and an octagrammic diorthoprism.
External links[edit | edit source]
- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S16).