Grand ditetrahedronary prismatotrishecatonicosachoron
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Grand ditetrahedronary prismatotrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gadtapthi |
Elements | |
Cells | 120 gissid, 120 gid, 1200 trip, 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 retroditetrahedronary prismatotrishecatonicosachoron |
Abstract & topological properties | |
Flag count | 144000 |
Euler characteristic | 3600 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The grand ditetrahedronary prismatotrishecatonicosachoron, or gadtapthi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 great icosidodecahedra, 1200 triangular prisms, and 120 great rhombidodecahedra. Four great stellated dodecahedra, six great icosidodecahedra, twelve triangular 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" (#888).
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