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Steriruncitruncated 5-cube
In Five-dimensional space, five-dimensional geometry, a stericated 5-cube is a convex uniform 5-polytope with fourth-order Truncation (geometry), truncations (sterication) of the regular 5-cube. There are eight degrees of sterication for the 5-cube, including permutations of runcination, cantellation, and Truncation (geometry), truncation. The simple stericated 5-cube is also called an expanded 5-cube, with the first and last nodes ringed, for being constructible polygon, constructible by an Expansion (geometry), expansion operation applied to the regular 5-cube. The highest form, the steriruncicantitruncated 5-cube, is more simply called an #Omnitruncated 5-cube, omnitruncated 5-cube with all of the nodes ringed. Stericated 5-cube Alternate names * Stericated penteract / Stericated 5-orthoplex / Stericated pentacross * Expanded penteract / Expanded 5-orthoplex / Expanded pentacross * Small cellated penteractitriacontaditeron (Acronym: scant) (Jonathan Bowers) Coordinates ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
5-cube T0
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 or , constructed as 3 tesseracts, , around each cubic ridge. It can be called a penteract, a portmanteau of the Greek word , for 'five' (dimensions), and the word ''tesseract'' (the 4-cube). It can also be called a regular deca-5-tope or decateron, being a 5-dimensional polytope constructed from 10 regular facets. Related polytopes It is a part of an infinite hypercube family. The dual of a 5-cube is the 5-orthoplex, of the infinite family of orthoplexes. Applying an '' alternation'' operation, deleting alternating vertices of the 5-cube, creates another uniform 5-polytope, called a 5-demicube, which is also part of an infinite family called the demihypercubes. The 5-cube can be seen as an ''order-3 tesseractic honeycomb'' on a 4-sphere. It is related to the Euclide ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
