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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}, around each cubic ridge .
A 2D orthogonal projection of a 5-cube. A five-dimensional space is a space with five dimensions. In mathematics, a sequence of N numbers can represent a location in an N-dimensional space. If interpreted physically, that is one more than the usual three spatial dimensions and the fourth dimension of time used in relativistic physics. [1]
In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract.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.
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In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube with alternated vertices removed. It was discovered by Thorold Gosset . Since it was the only semiregular 5-polytope (made of more than one type of regular facets ), he called it a 5-ic semi-regular .
Magic Cube 5D by Roice Nelson is capable of rendering 5-cube puzzles in six sizes from 2 5 to 7 5. Allows 5D twists and controls for rotating the cube in multiple dimensions, 4-D and 5-D perspective controls, cubie and sticker spacing and size controls, similar to Magiccube4D. However, a 5-D puzzle is much more difficult to comprehend than a 4 ...
The game Quixo is played on a five-by-five board of cubes with two players or teams. [20] On a player's turn, they select a blank cube or a cube with their symbol on it that is at the edge of the board. If a blank cube was selected, the cube is turned to be the player's symbol (either an X or O). The game ends when one player gets five in a row.