Search results
Results From The WOW.Com Content Network
In seven-dimensional geometry, a stericated 7-cube (or runcinated 7-demicube) is a convex uniform 7-polytope, being a runcination of the uniform 7-demicube. There are 4 unique runcinations for the 7-demicube including truncation and cantellation.
In seven-dimensional geometry, a hexicated 7-cube is a convex uniform 7-polytope, including 6th-order truncations (hexication) from the regular 7-cube.. There are 32 hexications for the 7-cube, including all permutations of truncations, cantellations, runcinations, sterications, and pentellations. 20 are represented here, while 12 are more easily constructed from the 7-orthoplex.
Cantellated 7-cubes. In seven-dimensional geometry, a cantellated 7-cube is a convex uniform 7-polytope, being a cantellation of the regular 7-cube . There are 10 degrees of cantellation for the 7-cube, including truncations. 4 are most simply constructible from the dual 7-orthoplex .
Truncated 7-cubes. In seven-dimensional geometry, a truncated 7-cube is a convex uniform 7-polytope, being a truncation of the regular 7-cube . There are 6 truncations for the 7-cube. Vertices of the truncated 7-cube are located as pairs on the edge of the 7-cube. Vertices of the bitruncated 7-cube are located on the square faces of the 7-cube.
A runcicantic 7-cube, h 2,3 {4,3 5}, has half the vertices of a runcicantellated 7-cube, t 0,1,3 {4,3 5}. Alternate names. Great rhombated hemihepteract (Acronym girhesa) (Jonathan Bowers) Cartesian coordinates. The Cartesian coordinates for the vertices of a runcicantic 7-cube centered at the origin are coordinate permutations:
Stericated 7-cubes. In seven-dimensional geometry, a stericated 7-cube is a convex uniform 7-polytope with 4th-order truncations ( sterication) of the regular 7-cube . There are 24 unique sterication for the 7-cube with permutations of truncations, cantellations, and runcinations. 10 are more simply constructed from the 7-orthoplex .
Runcinated 7-cubes. In seven-dimensional geometry, a runcinated 7-cube is a convex uniform 7-polytope with 3rd order truncations ( runcination) of the regular 7-cube . There are 16 unique runcinations of the 7-cube with permutations of truncations, and cantellations. 8 are more simply constructed from the 7-orthoplex .
Pentellated 7-cubes. In seven-dimensional geometry, a pentellated 7-cube is a convex uniform 7-polytope with 5th order truncations ( pentellation) of the regular 7-cube. There are 32 unique pentellations of the 7-cube with permutations of truncations, cantellations, runcinations, and sterications. 16 are more simply constructed relative to the ...