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2. 9-cube - Wikipedia

   en.wikipedia.org/wiki/9-cube

   A 9-cube is a nine-dimensional hypercube with 512 vertices and 18 8-cubes as faces. Learn about its properties, projections, derived polytopes, and references from this Wikipedia article.

3. Nine-Colour Cube - Wikipedia

   en.wikipedia.org/wiki/Nine-Colour_Cube

   The Nine-Colour Cube (see below for other names) is a cubic twisty puzzle. [1] It was invented in 2005 by Milan Vodicka [2] and mass-produced by Meffert's seven years later. [3] [4] Mechanically, the puzzle is identical to the Rubik's Cube; however, unlike the 3×3×3 Rubik's Cube, which only has 6 different colours, the Nine-Colour Cube has 9 colours, with the individual pieces having one ...

4. Tesseract - Wikipedia

   en.wikipedia.org/wiki/Tesseract

   A tesseract or 4-cube is a four-dimensional analogue of a cube and a square, with eight cubical cells, 24 square faces, and 32 edges. Learn about its geometry, coordinates, nets, construction, and properties from this comprehensive Wikipedia article.

5. Rectified 9-cubes - Wikipedia

   en.wikipedia.org/wiki/Rectified_9-cubes

   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. Vertices of the birectified 9-cube are located in the square face centers of the 9-cube. Vertices of the trirectified 9-orthoplex are located in the ...

6. n-dimensional sequential move puzzle - Wikipedia

   en.wikipedia.org/wiki/N-dimensional_sequential...

   for the 3-cube is rotations of a 2-polytope (square) in 2-space = 4; for the 2-cube is rotations of a 1-polytope in 1-space = 1; In other words, the 2D puzzle cannot be scrambled at all if the same restrictions are placed on the moves as for the real 3D puzzle. The moves actually given to the 2D Magic Cube are the operations of reflection.

7. Uniform 9-polytope - Wikipedia

   en.wikipedia.org/wiki/Uniform_9-polytope

   In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets. Each 7-polytope ridge being shared by exactly two 8-polytope facets . A uniform 9-polytope is one which is vertex-transitive , and constructed from uniform 8-polytope facets .