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". ^[1] There exist two topologically distinct polytetrahedra, each made up of four intersecting triangles.

See also

• Compound of five tetrahedra
• Compound of ten tetrahedra

References

1. Lang (2001)

Bibliography

• Sloane, N. J. A. (ed.). "SequenceA119602(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.