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The dual of a 7-cube is called a 7-orthoplex, and is a part of the infinite family of cross-polytopes.. Applying an alternation operation, deleting alternating vertices of the hepteract, creates another uniform polytope, called a demihepteract, (part of an infinite family called demihypercubes), which has 14 demihexeractic and 64 6-simplex 6-faces.
A polytope in seven dimensions is called a 7-polytope. The most studied are the regular polytopes, of which there are only three in seven dimensions: the 7-simplex, 7-cube, and 7-orthoplex. A wider family are the uniform 7-polytopes, constructed from fundamental symmetry domains of reflection, each domain defined by a Coxeter group.
It is one of only four 4-connected simplicial well-covered polyhedra, meaning that all of the maximal independent sets of its vertices have the same size. The other three polyhedra with this property are the pentagonal dipyramid , the snub disphenoid , and an irregular polyhedron with 12 vertices and 20 triangular faces.
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 ...
In seven-dimensional geometry, a rectified 7-cube is a convex uniform 7-polytope, being a rectification of the regular 7-cube. There are unique 7 degrees of rectifications, the zeroth being the 7-cube, and the 6th and last being the 7-cube. Vertices of the rectified 7-cube are located at the edge-centers of the 7-ocube.
In seven-dimensional geometry, a runcinated 7-cube is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-cube. There are 16 unique runcinations of the 7-cube with permutations of truncations, and cantellations. 8 are more simply constructed from the 7-orthoplex .
The rate of Americans visiting doctors' offices for flu-like illness continues to reach record levels, new federal data published on Friday shows. Nearly 8% of outpatient visits for respiratory ...
In seven-dimensional geometry, a hexicated 7-cube is a convex uniform 7-polytope, including 6th-order truncations (hexication) from the regular 7-cube.. There are 32 hexications for the 7-cube, including all permutations of truncations, cantellations, runcinations, sterications, and pentellations. 20 are represented here, while 12 are more easily constructed from the 7-orthoplex.