Rhombitriacontaswirlic trischiliachoron
Jump to navigation
Jump to search
| Rhombitriacontaswirlic trischiliachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 3000 20-vertex tetradecahedra |
| Faces | 6000 isosceles triangles, 6000 kites, 6000 mirror-symmetric pentagons, 3000 rectangular-symmetric octagons |
| Edges | 1200+6000+12000+12000 |
| Vertices | 1200+6000+6000 |
| Vertex figure | 1200 pentagonal gyrotegums, 6000+6000 phyllic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hectofold icosidodecaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(100), order 12000 |
| Convex | Yes |
| Nature | Tame |
The rhombitriacontaswirlic trischiliachoron is an isochoric polychoron with 3000 identical cells. It is the twenty-fifth in an infinite family of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric octagons, 4 mirror-symmetric pentagons, 4 kites, and 4 isosceles triangles for faces.