Rhombitriacontaswirlic chiliatriacosicosachoron
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Rhombitriacontaswirlic chiliatriacosicosachoron | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 1320 32-vertex octadecahedra |
Faces | 2640 isosceles triangles, 2640+2640 kites, 1320 rectangular-symmetric octagons, 2640 mirror-symmetric enneagons |
Edges | 2640+2640+5280+5280+5280 |
Vertices | 2640+2640+2640+2640 |
Vertex figure | 2640+2640+2640+2640 phyllic disphenoids |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Tetracontatetrafold icosidodecaswirlchoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H3●I2(44), order 5280 |
Convex | Yes |
Nature | Tame |
The rhombitriacontaswirlic chiliatriacosicosachoron is an isochoric polychoron with 1320 identical cells. It is the eleventh in an infinite family of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 4 mirror-symmetric enneagons, 2 rectangular-symmetric octagons, 8 kites, and 4 isosceles triangles for faces.