Truncated 5-cubes

In five-dimensional geometry, a truncated 5-cube is a convex uniform 5-polytope, being a truncation of the regular 5-cube. There are four unique truncations of the 5-cube. Vertices of the truncated 5-cube are located as pairs on the edge of the 5-cube. Vertices of the bitruncated 5-cube are located on the square faces of the 5-cube. The third and fourth truncations are more easily constructed as second and first truncations of the 5-orthoplex. Truncated penteract (Acronym: tan) (Jonathan Bowers) The truncated 5-cube may be constructed by truncating the vertices of the 5-cube at of the edge length. A regular 5-cell is formed at each truncated vertex. The Cartesian coordinates of the vertices of a truncated 5-cube having edge length 2 are all permutations of: The truncated 5-cube is constructed by a truncation applied to the 5-cube. All edges are shortened, and two new vertices are added on each original edge. The truncated 5-cube, is fourth in a sequence of truncated hypercubes: Bitruncated penteract (Acronym: bittin) (Jonathan Bowers) The bitruncated 5-cube may be constructed by bitruncating the vertices of the 5-cube at of the edge length. The Cartesian coordinates of the vertices of a bitruncated 5-cube having edge length 2 are all permutations of: The bitruncated 5-cube is third in a sequence of bitruncated hypercubes: This polytope is one of 31 uniform 5-polytope generated from the regular 5-cube or 5-orthoplex.