geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces...

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...

Pentellated 6-cube 6-orthoplex, Rectified 6-orthoplex, Truncated 6-orthoplex, Cantellated 6-orthoplex, Runcinated 6-orthoplex, Stericated 6-orthoplex 122 polytope...

rectified 5-orthoplex is the vertex figure of the D5 lattice, . Its 40 vertices represent the kissing number of the lattice and the highest for dimension 5. A...

cantellated 5-orthoplex is a convex uniform 5-polytope, being a cantellation of the regular 5-orthoplex. There are 6 cantellation for the 5-orthoplex, including...

Stericated 5-cube 5-orthoplex, Rectified 5-orthoplex, Truncated 5-orthoplex, Cantellated 5-orthoplex, Runcinated 5-orthoplex Prismatic uniform 5-polytope 5-cell...

In the geometry of hyperbolic 5-space, the 5-orthoplex honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs). It is...

In geometry, a cross-polytope, hyperoctahedron, orthoplex, or cocube is a regular, convex polytope that exists in n-dimensional Euclidean space. A 2-dimensional...

hyperplane in 5-space, as (distinct) permutations of (0,0,0,0,1) or (0,1,1,1,1); in these positions it is a facet of, respectively, the 5-orthoplex or the rectified...

Stericated penteract / Stericated 5-orthoplex / Stericated pentacross Expanded penteract / Expanded 5-orthoplex / Expanded pentacross Small cellated...