| content | |||||||||||||||||||||||||||||||||||||
| Demihepteract (7-demicube) |
|
|---|---|
 Orthogonal projection inside Petrie polygon |
|
| Type | Uniform 7-polytope |
| Family | demihypercube |
| 6-faces | 78: 14 {31,3,1}  64 {35}  |
| 5-faces | 532: 84 {31,2,1}  448 {34}  |
| 4-faces | 1624: 280 {31,1,1}  1344 {33}  |
| Cells | 2800: 560 {31,0,1}  2240 {3,3} |
| Faces | 2240 {3} |
| Edges | 672 |
| Vertices | 64 |
| Vertex figure | Rectified 6-simplex |
| Schläfli symbol | {31,4,1} h{4,35} s{37} |
| Coxeter-Dynkin diagram |          |
| Coxeter group | D7, [34,1,1 |
| Dual | ? |
| Properties | convex |
A demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices deleted. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.
Coxeter named this polytope as 141 from its Coxeter-Dynkin diagram, with a ring on one of the 1-length Coxeter-Dynkin diagram branches.
 |
This geometry-related article is a stub. You can help Wikipedia by expanding it. |
See also
References
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetry of Things 2008, ISBN 978-1-56881-220-5 (Chapter 26. pp. 409: Hemicubes: 1n1)
External links
- Olshevsky, George, Demihepteract at Glossary for Hyperspace.
- Multi-dimensional Glossary
