Heptapeton
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| Regular heptapeton 6-simplex |
|
|---|---|
 (Orthographic projection) |
|
| Type | Regular 6-polytope |
| Family | simplex |
| 5-faces | 7 {3,3,3,3} |
| 4-faces | 21 {3,3,3} |
| Cells | 35 {3,3} |
| Faces | 35 {3} |
| Edges | 21 |
| Vertices | 7 |
| Vertex figure | {3,3,3,3} |
| Schläfli symbol | {3,3,3,3,3} |
| Coxeter-Dynkin diagram |    |
| Dual | Self-dual |
| Properties | convex |
A heptapeton, or hepta-6-tope is a 6-simplex, a self-dual regular 6-polytope with 7 vertices, 21 edges, 35 triangle faces, 35 tetrahedral cells, 21 5-cell 4-faces, and 7 5-simplex 5-faces.
The name heptapeton is derived from hepta for seven facets in Greek and -peta for having five-dimensional facets, and -on.
[edit] See also
- Other regular 6-polytopes:
- Others in the simplex family
- Tetrahedron (3-simplex)- {3,3}
- Pentachoron or 5-cell (4-simplex) - {3,3,3}
- 5-simplex - {3,3,3,3}
- 6-simplex - {3,3,3,3,3}
- 7-simplex - {3,3,3,3,3,3}
- 8-simplex - {3,3,3,3,3,3,3}
- 9-simplex - {3,3,3,3,3,3,3,3}
- 10-simplex - {3,3,3,3,3,3,3,3,3}
[edit] External links
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