Great prismated pentacontatetrapeton
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Great prismated pentacontatetrapeton | |
---|---|
Rank | 6 |
Type | Uniform |
Notation | |
Bowers style acronym | Gopam |
Coxeter diagram | x3x3x3x3x *c3x () |
Elements | |
Peta | 54 great prismated triacontaditera 72 great cellidodecatera 432 great prismatodecachoric prisms 720 hexagonal duoprismatic prisms |
Tera | 2160+4320+4320 square-hexagonal duoprisms 1440 hexagonal duoprisms 2160+2160 truncated octahedral prisms 864+864 great prismatodecachora 270 truncated icositetrachora |
Cells | 6480+6480+6480+12960 cubes 8640+8640+8640+8640+8640 hexagonal prisms 2160+4320+4320 truncated octahedra |
Faces | 12960+12960+25920+25920+25920+25920 squares 8640+17280+17280 hexagons |
Edges | 51840+51840+25920+25920 |
Vertices | 51840 |
Vertex figure | Irregular hexateron |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Central density | 1 |
Number of external pieces | 1278 |
Related polytopes | |
Army | Gopam |
Regiment | Gopam |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | E6×2, order 103680 |
Convex | Yes |
Nature | Tame |
The great prismated pentacontatetrapeton or gopam, also called the runcicantitruncated 122 polytope, is a convex uniform polypeton. It consists of 54 great prismated triacontaditera, 72 great cellidodecatera, 432 great prismatodecachoric prisms, and 720 hexagonal duoprismatic prisms. 2 great prismated triacontaditera, 1 great cellidodecateron, 1 great prismatodecachoric prism, and 1 hexagonal duoprismatic prism join at each vertex.
External links[edit | edit source]
- Klitzing, Richard. "gopam".
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