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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.
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 ...
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 ...
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.
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 ...
The surface-area-to-volume ratio or surface-to-volume ratio (denoted as SA:V, SA/V, or sa/vol) is the ratio between surface area and volume of an object or collection of objects. SA:V is an important concept in science and engineering. It is used to explain the relation between structure and function in processes occurring through the surface ...
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