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In geometry, an 8-cube is an eight- dimensional hypercube. It has 256 vertices, 1024 edges, 1792 square faces, 1792 cubic cells, 1120 tesseract 4-faces, 448 5-cube 5-faces, 112 6-cube 6-faces, and 16 7-cube 7-faces . It is represented by Schläfli symbol {4,3 6 }, being composed of 3 7-cubes around each 6-face.
3D model of cubicles in a library. A cubicle is a partially enclosed office workspace that is separated from neighboring workspaces by partitions that are usually 5–6 feet (1.5–1.8 m) tall. Its purpose is to isolate office workers and managers from the sights and noises of an open workspace so that they may concentrate with fewer distractions.
The tesseract is also called an 8-cell, C8, (regular) octachoron, or cubic prism. It is the four-dimensional measure polytope, taken as a unit for hypervolume. [2] Coxeter labels it the γ4 polytope. [3] The term hypercube without a dimension reference is frequently treated as a synonym for this specific polytope .
The World Cube Association (WCA) is the worldwide non-profit organization that regulates and holds competitions for mechanical puzzles that are operated by twisting groups of pieces, commonly known as twisty puzzles (a subcategory of combination puzzles). The most famous of those puzzles is the Rubik's Cube. Since the start of the WCA there ...
The 8-dimensional E8 lattice and 24-dimensional Leech lattice have also been proven to be optimal in their respective real dimensional space. Packings of Platonic solids in three dimensions [ edit ] Cubes can easily be arranged to fill three-dimensional space completely, the most natural packing being the cubic honeycomb .
Truncated 8-cubes. In eight-dimensional geometry, a truncated 8-cube is a convex uniform 8-polytope, being a truncation of the regular 8-cube . There are unique 7 degrees of truncation for the 8-cube. Vertices of the truncation 8-cube are located as pairs on the edge of the 8-cube. Vertices of the bitruncated 8-cube are located on the square ...
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