Rectified hexacosichoric prism
Jump to navigation
Jump to search
Rectified hexacosichoric prism | |
---|---|
File:Rectified hexacosichoric prism.png | |
Rank | 5 |
Type | Uniform |
Notation | |
Bowers style acronym | Roxip |
Coxeter diagram | x o5o3x3o () |
Elements | |
Tera | 600 octahedral prisms, 120 icosahedral prisms, 2 rectified hexacosichora |
Cells | 1200+2400 triangular prisms, 1200 octahedra, 240 icosahedra |
Faces | 2400+4800 triangles, 3600 squares |
Edges | 720+7200 |
Vertices | 1440 |
Vertex figure | Pentagonal prismatic pyramid, edge lengths 1 (base), (legs) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Diteral angles | Ope–trip–ope: |
Ipe–trip–ope: | |
Rox–ike–ipe: 90° | |
Rox–oct–ope: 90° | |
Height | 1 |
Central density | 1 |
Number of external pieces | 722 |
Level of complexity | 15 |
Related polytopes | |
Army | Roxip |
Regiment | Roxip |
Dual | Joined hecatonicosachoric tegum |
Conjugate | Rectified grand hexacosichoric prism |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | H4×A1, order 28800 |
Convex | Yes |
Nature | Tame |
The rectified hexacosichoric prism or roxip is a prismatic uniform polyteron that consists of 2 rectified hexacosichora, 120 icosahedral prisms, and 600 octahedral prisms. 1 rectified hexacosichoron, 2 icosahedral prisms, and 5 octahedral prisms join at each vertex. As the name suggests, it is a prism based on the rectified hexacosichoron, which also makes it a convex segmentoteron.
Vertex coordinates[edit | edit source]
The vertices of a rectified hexacosichoric prism of edge length 1 are given by all permutations of the first four coordinates of:
along with even permutations of the first four coordinates of:
External links[edit | edit source]
- Klitzing, Richard. "Roxip".