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2. Pentellated 7-cubes - Wikipedia

   en.wikipedia.org/wiki/Pentellated_7-cubes

   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 ...

3. Steric 7-cubes - Wikipedia

   en.wikipedia.org/wiki/Steric_7-cubes

   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.

4. Rectified 6-cubes - Wikipedia

   en.wikipedia.org/wiki/Rectified_6-cubes

   Rectified 6-cubes. In six-dimensional geometry, a rectified 6-cube is a convex uniform 6-polytope, being a rectification of the regular 6-cube . There are unique 6 degrees of rectifications, the zeroth being the 6-cube, and the 6th and last being the 6-orthoplex. Vertices of the rectified 6-cube are located at the edge-centers of the 6-cube.

5. Cantellated 24-cells - Wikipedia

   en.wikipedia.org/wiki/Cantellated_24-cells

   Cantellated 24-cell. The cantellated 24-cell or small rhombated icositetrachoron is a uniform 4-polytope . The boundary of the cantellated 24-cell is composed of 24 truncated octahedral cells, 24 cuboctahedral cells and 96 triangular prisms. Together they have 288 triangular faces, 432 square faces, 864 edges, and 288 vertices.

6. Cantic 7-cube - Wikipedia

   en.wikipedia.org/wiki/Cantic_7-cube

   In seven-dimensional geometry, a cantic 7-cube or truncated 7-demicube as a uniform 7-polytope, being a truncation of the 7-demicube. A uniform 7-polytope is vertex-transitive and constructed from uniform 6-polytope facets, and can be represented a coxeter diagram with ringed nodes representing active mirrors.

7. Pentellated 6-cubes - Wikipedia

   en.wikipedia.org/wiki/Pentellated_6-cubes

   Full snub 6-cube. The full snub 6-cube or omnisnub 6-cube, defined as an alternation of the omnitruncated 6-cube is not uniform, but it can be given Coxeter diagram and symmetry [4,3,3,3,3] +, and constructed from 12 snub 5-cubes, 64 snub 5-simplexes, 60 snub tesseract antiprisms, 192 snub 5-cell antiprisms, 160 3-sr{4,3} duoantiprisms, 240 4-s{3,4} duoantiprisms, and 23040 irregular 5 ...