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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 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 ...
The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3 . The cube is also the number multiplied by its square : n3 = n × n2 = n × n × n. The cube function is the function x ↦ x3 (often denoted y = x3) that maps a number to its cube. It is an odd function, as.
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.
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 .
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 ...
An illustration of an unsolved Rubik's Cube. The Rubik's Cube is a 3D combination puzzle invented in 1974 [2] [3] by Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic Cube, [4] the puzzle was licensed by Rubik to be sold by Pentangle Puzzles in the UK in 1978, [5] and then by Ideal Toy Corp in 1980 [6 ...
Unit cube. A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long. [1] [2] The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units. [3]
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