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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.
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.
3D model of a cube. In geometry, a cube 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. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges ...
Nine is the number of derangements of 4, or the number of permutations of four elements with no fixed points. [8] 9 is the fourth refactorable number, as it has exactly three positive divisors, and 3 is one of them. [9] A number that is 4 or 5 modulo 9 cannot be represented as the sum of three cubes. [10]
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] via businessman Tibor Laczi and Seven Towns ...
Cube root. In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8, denoted , is 2, because 23 = 8, while the other ...
Feliks Aleksanders Zemdegs (/ ˈ f ɛ l ɪ k s ˈ z ɛ m d ɛ ɡ z /, Latvian: Fēlikss Zemdegs; born 20 December 1995) is an Australian Rubik's Cube speedsolver.He is one of the only two speedcubers ever to win the World Cube Association World Championship twice (the other being Max Park), winning in 2013 and 2015, and is widely considered the most successful and greatest speedcuber of all time.
Uniform 9-polytope. In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets. Each 7-polytope ridge being shared by exactly two 8-polytope facets . A uniform 9-polytope is one which is vertex-transitive, and constructed from uniform 8-polytope facets .
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