Runcinated 5-cubes
In five-dimensional geometry, a runcinated 5-cube is a convex uniform 5-polytope that is a runcination of the regular 5-cube.
There are 8 unique degrees of runcinations of the 5-cube, along with permutations of truncations and cantellations. Four are more simply constructed relative to the 5-orthoplex.
Runcinated 5-cube
Alternate names
Coordinates
The Cartesian coordinates of the vertices of a runcinated 5-cube having edge length 2 are all permutations of:Images
Runcitruncated 5-cube
Alternate names
- Runcitruncated penteract
- Prismatotruncated penteract
Construction and coordinates
The Cartesian coordinates of the vertices of a runcitruncated 5-cube having edge length 2 are all permutations of:Images
Runcicantellated 5-cube
Alternate names
- Runcicantellated penteract
- Prismatorhombated penteract
Coordinates
The Cartesian coordinates of the vertices of a runcicantellated 5-cube having edge length 2 are all permutations of:Images
Runcicantitruncated 5-cube
Alternate names
- Runcicantitruncated penteract
- Biruncicantitruncated pentacross
- great prismated penteract