Grand ditetrahedronary prismatohexacosidishecatonicosachoron
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Grand ditetrahedronary prismatohexacosidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gadtapixady |
Elements | |
Cells | 600 tet, 120 sidtid, 720 stip, 120 gird |
Faces | 2400 triangles, 3600 squares, 1440 pentagrams, 720 decagrams |
Edges | 3600 |
Vertices | 600 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Hi |
Regiment | Gadtaxady |
Conjugate | Small ditetrahedronary prismatohexacosidishecatonicosachoron |
Abstract & topological properties | |
Flag count | 144000 |
Euler characteristic | 3600 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The grand ditetrahedronary prismatohexacosidishecatonicosachoron, or gadtapixady, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 small ditrigonary icosidodecahedra, 720 pentagrammic prisms, and 120 great rhombidodecahedra. Four tetrahedra, four small ditrigonary icosidodecahedra, twelve pentagrammic prisms, and twelve great rhombidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the grand ditetrahedronary hexacosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#885).
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