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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.
In geometry, a cube [a] is a three-dimensional solid object bounded by six square faces, facets, or sides, with three meeting at each vertex. Viewed from a corner, it is a hexagon and its net is usually depicted as a cross. [1] The cube is the only regular hexahedron and is one of the five Platonic solids.
Compound of cube and octahedron. Compound of dodecahedron and icosahedron. Compound of eight octahedra with rotational freedom. Compound of eight triangular prisms. Compound of five cubes. Compound of five cuboctahedra. Compound of five cubohemioctahedra. Compound of five great cubicuboctahedra. Compound of five great dodecahedra.
Cuboid. In geometry, a cuboid is a quadrilateral -faced convex hexahedron (a polyhedron with six faces). "Cuboid" means "like a cube ", in the sense of a convex solid which can be transformed into a cube by adjusting the lengths of its edges or/and the angles between its adjacent faces. In general mathematical language, a cuboid is a convex ...
In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces , the hypersurface of the tesseract consists of eight cubical cells , meeting at right angles .
Cube watermelons were intended to fit more compactly in fridges and their shape makes them easier to cut as they don't roll. They were invented by graphic designer Tomoyuki Ono in 1978. He presented the watermelons in a gallery in Ginza, Tokyo. [1] He also applied for and received a patent in the United States. [2]
In geometry, a hypercube is an n -dimensional analogue of a square ( n = 2) and a cube ( n = 3 ). It is a closed, compact, convex figure whose 1- skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length. A unit hypercube's longest diagonal in n ...
40 potential uniform polyhedra with degenerate vertex figures which have overlapping edges (not counted by Coxeter ); The uniform tilings (infinite polyhedra) 11 Euclidean convex uniform tilings; 28 Euclidean nonconvex or apeirogonal uniform tilings; Infinite number of uniform tilings in hyperbolic plane. Any polygons or 4-polytopes.
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