Polytetrahedron

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Polytetrahedron is a term used for three distinct types of objects, all based on the tetrahedron:

  • A uniform convex 4-polytope made up of 600 tetrahedral cells. It is more commonly known as a 600-cell or hexacosichoron. Other derivative 4-polytope are identified as polytetrahedra, where a qualifying prefix such as rectified or truncated is used.
  • A connected set of regular tetrahedra, the 3-dimensional analogue of a polyiamond. Polytetrahedra and polyiamonds are related as polycubes are related to polyominoes.
  • In origami, a polypolyhedron is "a compound of multiple linked polyhedral skeletons with uniform nonintersecting edges" [1]. There exist two topologically distinct polytetrahedra, each made up of four intersecting triangles.

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