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A 9-cube is a nine-dimensional hypercube with 512 vertices and 18 8-cubes as faces. It is also called an enneract, a regular octadeca-9-tope, or an octadecayotton.
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.
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 .
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 ...
A hypercube is an n-dimensional analogue of a square and a cube, with opposite parallel line segments as its 1-skeleton. Learn how to construct a hypercube by increasing the dimensions of a shape, how to compute its vertex coordinates and faces, and what are its names in different systems.
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.
English: 9-cube enneract graph. Date: 25 February 2010, 22:16 (UTC) Source: Own work by Tom Ruen (Original text: I (Tom Ruen ) created this work entirely by myself.)
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.