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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.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 .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.Alamo, also known as the Astor Place

**Cube**or simply The**Cube**, is an outdoor sculpture by Tony Rosenthal, located on Astor Place, in the East Village neighborhood of Manhattan in New York City. It is a black**cube**, 8 feet (2.4 m) long on each side, mounted on a corner. The**cube**is made of Cor-Ten steel and weighs about 1,800 pounds (820 kg).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.In geometry, a

**9**-orthoplex or**9**- cross polytope, is a regular**9**-polytope with 18 vertices, 144 edges, 672 triangle faces, 2016 tetrahedron cells, 4032 5-cells 4-faces, 5376 5-simplex 5-faces, 4608 6-simplex 6-faces, 2304 7-simplex 7-faces, and 512 8-simplex 8-faces . It has two constructed forms, the first being regular with Schläfli symbol {3 ...

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