Cantellated 5-demicube
In geometry of five dimensions, a cantellated 5-demicube (or cantellated demipenteract) is a uniform 5-polytope.
Alternate names
Cartesian coordinates
The Cartesian coordinates for the 960 vertices of a cantellated demipenteract centered at the origin are coordinate permutations:
- (±1,±1,±1,±3,±3)
with an odd number of plus signs.
Images
Related polytopes
This polytope is based on the 5-demicube, a part of a dimensional family of uniform polytopes called demihypercubes for being alternation of the hypercube family.
There are 23 uniform polytera (uniform 5-polytope) that can be constructed from the D5 symmetry of the 5-demicube, of which are unique to this family, and 15 are shared within the 5-cube family.
See also
Other 5-polytopes:
Notes
External links
- Weisstein, Eric W., "Hypercube" from MathWorld.
- Olshevsky, George, Measure polytope at Glossary for Hyperspace.
- Polytopes of Various Dimensions
- Multi-dimensional Glossary
- Richard Klitzing, 5D uniform polytopes (polytera), x3o3o *b3x3o - sirhin
Retrieved from : http://en.wikipedia.org/wiki/Cantellated_5-demicube
