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The cube can be represented as the cell, and examples of a honeycomb are cubic honeycomb, order-5 cubic honeycomb, order-6 cubic honeycomb, and order-7 cubic honeycomb. [46] The cube can be constructed with six square pyramids, tiling space by attaching their apices. [47] Polycube is a polyhedron in which the faces of many cubes are attached.
Cubical complex. In mathematics, a cubical complex (also called cubical set and Cartesian complex[1]) is a set composed of points, line segments, squares, cubes, and their n -dimensional counterparts. They are used analogously to simplicial complexes and CW complexes in the computation of the homology of topological spaces.
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 ...
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 tesseract is also called an 8-cell, C8, (regular) octachoron, or cubic prism. It is the four-dimensional measure polytope, taken as a unit for hypervolume. [2] Coxeter labels it the γ4 polytope. [3] The term hypercube without a dimension reference is frequently treated as a synonym for this specific polytope.
Rubik's family cubes of varying sizes. The original Rubik's cube was a mechanical 3×3×3 cube puzzle invented in 1974 by the Hungarian sculptor and professor of architecture Ernő Rubik. Extensions of the Rubik's cube have been around for a long time and come in both hardware and software forms. The major extension have been the availability ...
A Sierpinski–Menger snowflake is a cube-based fractal in which eight corner cubes and one central cube are kept each time at the lower and lower recursion steps. This peculiar three-dimensional fractal has the Hausdorff dimension of the natively two-dimensional object like the plane i.e. log 9 / log 3 =2.
sqrt (5)/2 = 1.118034. Properties. convex, isogonal regular, Hanner polytope. In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces. It is represented by Schläfli symbol {4,3,3,3} or {4,3 3}, constructed as 3 tesseracts, {4,3,3 ...