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CANTELLATED 5-SIMPLEXES

  • Cantellated 5-simplexes
  • triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and 15 tetrahedral prisms). Cantellated hexateron Small rhombated hexateron

    Cantellated 5-simplexes

    Cantellated 5-simplexes

    Cantellated_5-simplexes

  • Cantellated 6-simplexes
  • construction is based on facets of the bicantitruncated 7-orthoplex. The cantellated 6-simplexes are in a set of 35 uniform 6-polytopes based on the [3,3,3,3,3]

    Cantellated 6-simplexes

    Cantellated 6-simplexes

    Cantellated_6-simplexes

  • Cantellated 7-simplexes
  • In seven-dimensional geometry, a cantellated 7-simplex is a convex uniform 7-polytope, being a cantellation of the regular 7-simplex. There are unique

    Cantellated 7-simplexes

    Cantellated 7-simplexes

    Cantellated_7-simplexes

  • Cantellated 8-simplexes
  • In eight-dimensional geometry, a cantellated 8-simplex is a convex uniform 8-polytope, being a cantellation of the regular 8-simplex. There are six unique

    Cantellated 8-simplexes

    Cantellated 8-simplexes

    Cantellated_8-simplexes

  • 4 21 polytope
  • Polytope in 8-dimensional geometry

    that are facets of 7-simplexes. Since every 7-orthoplex has 128 (27) 6-simplex facets, half of which are not incident to 7-simplexes, the 421 polytope has

    4 21 polytope

    4 21 polytope

    4_21_polytope

  • Rectified 5-cell
  • Uniform polychoron

    containing all simplexes and orthoplexes (tetrahedrons and octahedrons in the case of the rectified 5-cell). The Coxeter symbol for the rectified 5-cell is 021

    Rectified 5-cell

    Rectified 5-cell

    Rectified_5-cell

  • Truncated 5-cell
  • geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell. There are two degrees

    Truncated 5-cell

    Truncated 5-cell

    Truncated_5-cell

  • Stericated 8-simplexes
  • Class of eight-dimensional polytopes

    8-simplex Bisteriruncitruncated 8-simplex Sterirunci-cantellated 8-simplex Bisterirunci-cantellated 8-simplex Steriruncicanti-truncated 8-simplex

    Stericated 8-simplexes

    Stericated 8-simplexes

    Stericated_8-simplexes

  • 120-cell
  • Four-dimensional analog of the dodecahedron

    unless it is all 5 vertices. It is impossible to rotate two concentric 4-simplexes with respect to each other such that some, but not all, of their vertices

    120-cell

    120-cell

    120-cell

  • Uniform 7-polytope
  • Seven-dimensional geometric object

    geometry, a 7-polytope is a polytope contained by 6-polytope facets. Each 5-polytope ridge being shared by exactly two 6-polytope facets. A uniform 7-polytope

    Uniform 7-polytope

    Uniform 7-polytope

    Uniform_7-polytope

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