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The 6-sphere, or hypersphere in seven dimensions, is the six-dimensional surface equidistant from a point. It has symbol S6, and the equation for the 6-sphere, radius r, centre the origin is. The volume of the space bounded by this 6-sphere is. which is 4.72477 × r7, or 0.0369 of the smallest 7-cube that contains the 6-sphere.
In geometry, a 6-cube is a six- dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces. It has Schläfli symbol {4,3 4}, being composed of 3 5-cubes around each 4-face. It can be called a hexeract, a portmanteau of tesseract (the 4-cube) with hex for six (dimensions) in ...
Stericated 6-cubes. In six-dimensional geometry, a stericated 6-cube is a convex uniform 6-polytope, constructed as a sterication (4th order truncation) of the regular 6-cube . There are 8 unique sterications for the 6-cube with permutations of truncations, cantellations, and runcinations.
A compound of six cubes has two forms. One form is a symmetric arrangement of six cubes, considered as square prisms. It is a special case of the compound of six cubes with rotational freedom. Another form is not related to a compound of six cubes with rotational freedom.
V-Cube 6. The V-Cube 6 is a 6×6×6 version of the original Rubik's Cube. The first mass-produced 6×6×6 was invented by Panagiotis Verdes and is produced by the Greek company Verdes Innovations SA. Other such puzzles have since been introduced by a number of Chinese companies, most of which have mechanisms which improve on the original.
Runcinated 6-cubes. In six-dimensional geometry, a runcinated 6-cube is a convex uniform 6-polytope with 3rd order truncations ( runcination) of the regular 6-cube . There are 12 unique runcinations of the 6-cube with permutations of truncations, and cantellations. Half are expressed relative to the dual 6-orthoplex.
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