Bitruncated 5-cell
From Wikipedia, the free encyclopedia
| Bitruncated 5-cell | |
|---|---|
 Schlegel diagram with alternate cells hidden. |
|
| Type | Uniform polychoron |
| Cells | 10 (3.6.6)  |
| Faces | 20 {3} 20 {6} |
| Edges | 60 |
| Vertices | 30 |
| Vertex figure | 4 (3.6.6) (Tetragonal disphenoid) |
| Coxeter-Dynkin diagram |    |
| Schläfli symbol | t1,2{3,3,3} |
| Symmetry group | A4, [3,3,3], order 240 |
| Properties | convex cell-transitive |
In geometry, the bitruncated 5-cell, or bitruncated pentachoron, is a 4-dimensional polytope, or polychoron, composed of 10 cells in the shape of truncated tetrahedra. Each hexagonal face of the truncated tetrahedra is joined in complementary orientation to the neighboring truncated tetrahedron. Each edge is shared by two hexagonal faces and one triangular face.
The bitruncated 5-cell is the intersection of two pentachora in dual configuration.
It is one of the two non-regular uniform polychora which are cell-transitive. The other is the bitruncated 24-cell, which is composed of 48 truncated cubes.
Contents |
[edit] Alternative names
- Bitruncated pentachoron
- Bitruncated pentatope
- Bitruncated 4-simplex
- (Truncated-tetrahedral) decachoron
- Deca (Jonathan Bowers: for decachoron)
[edit] Images
.png/200px-Decachoron_stereographic_(hexagon).png) stereographic projection of spherical polychoron |
 Net (polytope) |
[edit] See also
[edit] External links
- Olshevsky, George, Pentachoron at Glossary for Hyperspace.
- (6) Convex uniform polychora based on the pentachoron, George Olshevsky
