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Wider Scope: List of Polytopes by Type

Polychora are four-dimensional polytopes. They have vertices, edges, faces, cells and a single teron.

Types[]

By Construction[]

  • List of Rotatopic Polychora
  • List of Duoprism Polychora
  • List of Antiduoprism Polychora
  • List of Regular Polychora

By Verf[]

  • List of Polychora with Tetrahedral Verfs (Verf: Tetrahedron)
  • List of Polychora with Triangular Prismic Verfs (Verf: Triangular Prism)
  • List of Polychora with Square Pyramidal Verfs (Verf: Square Pyramid)
  • List of Polychora with Cubic Verfs (Verf: Cube)
  • List of Polychora with Octahedral Verfs (Verf: Octahedron)
  • List of Polychora with Icosahedral Verfs (Verf: Icosahedron)

List of Rotatopic Polychora[]

Rotatopic polychora are polychora formed from the product of multiple hyperspheres. There are exactly five rotatopic polyhedra, listed below along with their constituent hyperspheres (using Bowers' rotatope notation):

  • Tesseract
  • Cubinder
  • Duocylinder
  • Spherinder
  • Glome
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