Pentic 6-cubes
In six-dimensional geometry, a pentic 6-cube is a convex uniform 6-polytope.
There are 8 pentic forms of the 6-cube.Pentic 6-cube
The pentic 6-cube,, has half of the vertices of a pentellated 6-cube,.- Stericated 6-demicube/demihexeract
- Small cellated hemihexeract
The Cartesian coordinates for the vertices, centered at the origin are coordinate permutations:
with an odd number of plus signs.Images
Penticantic 6-cube
The penticantic 6-cube,, has half of the vertices of a penticantellated 6-cube,.Alternate names
- Steritruncated 6-demicube/demihexeract
- cellitruncated hemihexeract
Cartesian coordinates
The Cartesian coordinates for the vertices, centered at the origin are coordinate permutations:
with an odd number of plus signs.Images
Pentiruncic 6-cube
The pentiruncic 6-cube,, has half of the vertices of a pentiruncinated 6-cube,.Alternate names
- Stericantellated 6-demicube/demihexeract
- cellirhombated hemihexeract
Cartesian coordinates
The Cartesian coordinates for the vertices, centered at the origin are coordinate permutations:
with an odd number of plus signs.Images
Pentiruncicantic 6-cube
The pentiruncicantic 6-cube,, has half of the vertices of a pentiruncicantellated 6-cube or,Alternate names
The Cartesian coordinates for the vertices, centered at the origin are coordinate permutations:
with an odd number of plus signs.Images
Pentisteric 6-cube
The pentisteric 6-cube,, has half of the vertices of a pentistericated 6-cube,Alternate names
- Steriruncinated 6-demicube/demihexeract
- Small cellipriamated hemihexeract
Cartesian coordinates
The Cartesian coordinates for the vertices, centered at the origin are coordinate permutations:
with an odd number of plus signs.Images
Pentistericantic 6-cube
The pentistericantic 6-cube,, has half of the vertices of a pentistericantellated 6-cube,.Alternate names
- Steriruncitruncated demihexeract/7-demicube
- cellitruncated hemihexeract
Cartesian coordinates
The Cartesian coordinates for the vertices, centered at the origin are coordinate permutations:
with an odd number of plus signs.Images
Pentisteriruncic 6-cube
The pentisteriruncic 6-cube,, has half of the vertices of a pentisteriruncinated 6-cube,.Alternate names
- Steriruncicantellated 6-demicube/demihexeract
- Celliprismatorhombated hemihexeract
Cartesian coordinates
The Cartesian coordinates for the vertices, centered at the origin are coordinate permutations:
with an odd number of plus signs.Images
Pentisteriruncicantic 6-cube
The pentisteriruncicantic 6-cube,, has half of the vertices of a pentisteriruncicantellated 6-cube,.Alternate names
- Steriruncicantitruncated 6-demicube/demihexeract
- Great cellated hemihexeract
Cartesian coordinates
The Cartesian coordinates for the vertices, centered at the origin are coordinate permutations:
with an odd number of plus signs.Images
There are 47 uniform polytopes with D6 symmetry, 31 are shared by the B6 symmetry, and 16 are unique: