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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.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 ...In geometry, a demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-

**cube**, with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes . E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM 9 for a 9-dimensional half measure polytope.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 .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.Optimal solutions for the Rubik's

**Cube**are solutions that are the shortest in some sense. There are two common ways to measure the length of a solution. The first is to count the number of quarter turns. The second is to count the number of outer-layer twists, called "face turns". A move to turn an outer layer two quarter (90°) turns in the ...

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