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2. Rectified 9-cubes - Wikipedia

   en.wikipedia.org/wiki/Rectified_9-cubes

   Rectified 9-cubes. In nine-dimensional geometry, a rectified 9-cube is a convex uniform 9-polytope, being a rectification of the regular 9-cube . There are 9 rectifications of the 9-cube. The zeroth is the 9-cube itself, and the 8th is the dual 9-orthoplex. Vertices of the rectified 9-cube are located at the edge-centers of the 9-orthoplex.

3. 9-cube - Wikipedia

   en.wikipedia.org/wiki/9-cube

   9-cube. In geometry, a 9-cube is a nine- dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-cube 7-faces, and 18 8-cube 8-faces . It can be named by its Schläfli symbol {4,3 7 }, being composed of three 8-cubes around each 7-face.

4. 8-cube - Wikipedia

   en.wikipedia.org/wiki/8-cube

   In geometry, an 8-cube is an eight- dimensional hypercube. It has 256 vertices, 1024 edges, 1792 square faces, 1792 cubic cells, 1120 tesseract 4-faces, 448 5-cube 5-faces, 112 6-cube 6-faces, and 16 7-cube 7-faces . It is represented by Schläfli symbol {4,3 6 }, being composed of 3 7-cubes around each 6-face.

5. Rectified 8-cubes - Wikipedia

   en.wikipedia.org/wiki/Rectified_8-cubes

   Rectified 8-cubes. In eight-dimensional geometry, a rectified 8-cube is a convex uniform 8-polytope, being a rectification of the regular 8-cube . There are unique 8 degrees of rectifications, the zeroth being the 8-cube, and the 7th and last being the 8-orthoplex. Vertices of the rectified 8-cube are located at the edge-centers of the 8-cube.

6. Truncated 8-cubes - Wikipedia

   en.wikipedia.org/wiki/Truncated_8-cubes

   Truncated 8-cubes. In eight-dimensional geometry, a truncated 8-cube is a convex uniform 8-polytope, being a truncation of the regular 8-cube . There are unique 7 degrees of truncation for the 8-cube. Vertices of the truncation 8-cube are located as pairs on the edge of the 8-cube. Vertices of the bitruncated 8-cube are located on the square ...

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