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2. 6-cube - Wikipedia

   en.wikipedia.org/wiki/6-cube

   In geometry, a 6-cube is a six- dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces . It has Schläfli symbol {4,3 4 }, being composed of 3 5-cubes around each 4-face. It can be called a hexeract, a portmanteau of tesseract (the 4-cube) with hex for six (dimensions ...

3. Pentellated 6-cubes - Wikipedia

   en.wikipedia.org/wiki/Pentellated_6-cubes

   In six-dimensional geometry, a pentellated 6-cube is a convex uniform 6-polytope with 5th order truncations of the regular 6-cube . There are unique 16 degrees of pentellations of the 6-cube with permutations of truncations, cantellations, runcinations, and sterications. The simple pentellated 6-cube is also called an expanded 6-cube ...

4. Runcinated 6-cubes - Wikipedia

   en.wikipedia.org/wiki/Runcinated_6-cubes

   Runcinated 6-cubes. In six-dimensional geometry, a runcinated 6-cube is a convex uniform 6-polytope with 3rd order truncations ( runcination) of the regular 6-cube . There are 12 unique runcinations of the 6-cube with permutations of truncations, and cantellations. Half are expressed relative to the dual 6-orthoplex.

5. Six-dimensional space - Wikipedia

   en.wikipedia.org/wiki/Six-dimensional_space

   The 6-sphere, or hypersphere in seven dimensions, is the six-dimensional surface equidistant from a point. It has symbol S6, and the equation for the 6-sphere, radius r, centre the origin is. The volume of the space bounded by this 6-sphere is. which is 4.72477 × r7, or 0.0369 of the smallest 7-cube that contains the 6-sphere.

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7. Stericated 6-cubes - Wikipedia

   en.wikipedia.org/wiki/Stericated_6-cubes

   Stericated 6-cubes. In six-dimensional geometry, a stericated 6-cube is a convex uniform 6-polytope, constructed as a sterication (4th order truncation) of the regular 6-cube . There are 8 unique sterications for the 6-cube with permutations of truncations, cantellations, and runcinations.