Rectified 5-cubes: Difference between revisions
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|bgcolor=#e7dcc3|[[Schläfli symbol]]|| t<sub>1</sub>{4,3,3,3} |
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|bgcolor=#e7dcc3|[[Coxeter-Dynkin diagram]]s||[[Image:CDW dot.png]][[Image: |
|bgcolor=#e7dcc3|[[Coxeter-Dynkin diagram]]s||[[Image:CDW dot.png]][[Image:CDW 4.png]][[Image:CDW ring.png]][[Image:CDW 3b.png]][[Image:CDW dot.png]][[Image:CDW 3b.png]][[Image:CDW dot.png]][[Image:CDW 3.png]][[Image:CDW dot.png]] |
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|bgcolor=#e7dcc3|4-faces||42 |
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[[Category:5-polytopes]] |
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{{Geometry-stub}} |
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Revision as of 07:25, 6 March 2010
| Rectified 5-cube | |
|---|---|
 Orthogonal projection inside Petrie polygon | |
| Type | uniform polyteron |
| Schläfli symbol | t1{4,3,3,3} |
| Coxeter-Dynkin diagrams |     
|
| 4-faces | 42 |
| Cells | 200 |
| Faces | 400 |
| Edges | 320 |
| Vertices | 80 |
| Vertex figure |  5-cell prism |
| Petrie polygon | Decagon |
| Coxeter groups | C5, [3,3,3,4] |
| Dual | ? |
| Properties | convex |
In five-dimensional geometry, a rectified 5-cube is a polytope, being a rectification of the regular 5-cube.
Construction
There are two Coxeter groups associated with the rectified 5-cube, one with the C5 or [4,3,3,3] Coxeter group, and a lower symmetry with the D5 or [32,1,1] Coxeter group.
See also
- Other 5-polytopes:
- 5-simplex - {3,3,3,3}
- 5-cube (penteract) - {4,3,3,3}
- 5-demicube (demipenteract) - {31,2,1}
Notes
External links
- Weisstein, Eric W. "Hypercube". MathWorld.
- Olshevsky, George. "Measure polytope". Glossary for Hyperspace. Archived from the original on 4 February 2007.
- Polytopes of Various Dimensions
- Multi-dimensional Glossary
- Richard Klitzing 5D quasiregulars, (multi)prisms, non-prismatic Wythoffian polyterons o3x3o3o4o - rin
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