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Wikipedia

Polytetrahedron

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

A regular convex 4-polytope made up of 600 tetrahedral cells. It is more commonly known as a 600-cell or hexacosichoron. A polyform of regular tetrahedra. In origami, a polypolyhedron is "a compound of multiple linked polyhedral skeletons with uniform nonintersecting edges". There exist two topologically distinct polytetrahedra, each made up of four intersecting triangles.

See also Compound of five tetrahedra Compound of ten tetrahedra

References

Bibliography Sloane, N. J. A. (ed.). "Sequence A119602 (Number of nonisomorphic polytetrahedra with n identical regular tetrahedra connected face-to-face and/or edge-to-edge (chiral shapes counted twice))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Lang, Robert J (2001). Polypolyhedra in Origami (PDF). 3OSME. Archived (PDF) from the original on July 30, 2025. Retrieved 2006-12-16.

Tags

  • 4-polytopes
  • Geometry stubs
  • Paper folding
  • Polyhedra