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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 hexahedron, a six-faced solid. Its faces are quadrilaterals. Cuboid means "like a cube ", in the sense that by adjusting the lengths of the edges or the angles between faces, a cuboid can be transformed into a cube. In mathematical language a cuboid is a convex polyhedron whose polyhedral graph is the same as ...
10-cube. In geometry, a 10-cube is a ten- dimensional hypercube. It has 1024 vertices, 5120 edges, 11520 square faces, 15360 cubic cells, 13440 tesseract 4-faces, 8064 5-cube 5-faces, 3360 6-cube 6-faces, 960 7-cube 7-faces, 180 8-cube 8-faces, and 20 9-cube 9-faces . It can be named by its Schläfli symbol {4,3 8 }, being composed of 3 9-cubes ...
Platonic solid. In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex.
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 ...
9-polytope. 9-cube; 9-demicube; 9-orthoplex; 9-simplex; Hyperbolic honeycombs. E 9 honeycomb; Ten dimensions 10-polytope. 10-cube; 10-demicube; 10-orthoplex; 10-simplex; Dimensional families Regular polytope and List of regular polytopes. Simplex; Hypercube; Cross-polytope; Uniform polytope. Demihypercube; Uniform 1 k2 polytope; Uniform 2 k1 ...
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