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2. 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.

3. 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.

4. File:9-cube t3 B3.svg - Wikipedia

   en.wikipedia.org/wiki/File:9-cube_t3_B3.svg

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5. Rectified 9-orthoplexes - Wikipedia

   en.wikipedia.org/wiki/Rectified_9-orthoplexes

   The rectified 9-orthoplex is the vertex figure for the demienneractic honeycomb.. or Alternate names. rectified enneacross (Acronym riv) (Jonathan Bowers) Construction. There are two Coxeter groups associated with the rectified 9-orthoplex, one with the C 9 or [4,3 7] Coxeter group, and a lower symmetry with two copies of 8-orthoplex facets, alternating, with the D 9 or [3 6,1,1] Coxeter group.

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7. File:9-cube column graph.svg - Wikipedia

   en.wikipedia.org/wiki/File:9-cube_column_graph.svg

   This oriented projection shows columns of vertices positioned a vertex-edge-vertex distance from one vertex on the left to one vertex on the right, and edges attaching adjacent columns of vertices. The number of vertices in each column represents rows in Pascal's triangle, being 1:9:36:84:126:126:84:36:9:1 in the case of a 9-cube.