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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.
The regular complex polytope 4 {4} 2, , in has a real representation as a tesseract or 4-4 duoprism in 4-dimensional space. 4 {4} 2 has 16 vertices, and 8 4-edges. Its symmetry is 4 [4] 2, order 32. It also has a lower symmetry construction, , or 4 {}× 4 {}, with symmetry 4 [2] 4, order 16. This is the symmetry if the red and blue 4-edges are ...
The hypercube starts to wear away, and Kate opens a panel in the bottom. She jumps in just as the Hypercube implodes. Kate wakes up in the hands of authorities in a factory. She gives them the necklace, but she is shot in the head by one of the operatives. An authority reports that "Phase 2 is terminated" as the operatives leave the facility.
The convex regular 4-polytopes are the four-dimensional analogues of the Platonic solids. The most familiar 4-polytope is the tesseract or hypercube, the 4D analogue of the cube. The convex regular 4-polytopes can be ordered by size as a measure of 4-dimensional content (hypervolume) for the same radius.
Cube 2: Hypercube, a film; Tesseract, a four-dimensional object known as "the" hypercube; See also. Hypercube internetwork topology. Connection Machine, a derived ...
Cube 2: Hypercube is a sequel to the film Cube. [2] The dusky, dingy rooms of the first film are replaced with high-tech, brightly lit rooms, and the conventional technology of the original traps are replaced with threats based on abstract mathematics.
Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.
The tesseract is one of 6 convex regular 4-polytopes. In mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope.They are the four-dimensional analogues of the regular polyhedra in three dimensions and the regular polygons in two dimensions.