Decayotton
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| Regular decayotton 9-simplex |
|
|---|---|
 (Orthographic projection) |
|
| Type | Regular 9-polytope |
| Family | simplex |
| 8-faces | 10 8-simplex |
| 7-faces | 45 7-simplex |
| 6-faces | 120 6-simplex |
| 5-faces | 210 5-simplex |
| 4-faces | 252 5-cell |
| Cells | 210 tetrahedron |
| Faces | 120 triangle |
| Edges | 45 |
| Vertices | 10 |
| Vertex figure | 8-simplex |
| Schläfli symbol | {3,3,3,3,3,3,3,3} |
| Coxeter-Dynkin diagram |    |
| Dual | Self-dual |
| Properties | convex |
A decayotton, or deca-9-tope is a 9-simplex, a self-dual regular 9-polytope with 10 vertices, 45 edges, 120 triangle faces, 210 tetrahedral cells, 252 5-cell 4-faces, 210 5-simplex 5-faces, 120 6-simplex 6-faces, 45 7-simplex 7-faces, and 10 8-simplex 8-faces.
The name decayotton is derived from deca for ten facets in Greek and -yott for eight, having 8-dimensional facets, and -on.
[edit] See also
- Other regular 9-polytopes:
- Enneract - {4,3,3,3,3,3,3,3}
- Enneacross - {3,3,3,3,3,3,3,4}
- Others in the simplex family
- Tetrahedron - {3,3}
- 5-cell - {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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