Polytetrahedron

From Wikipedia, the free encyclopedia

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

• A uniform convex polychoron made up of 600 tetrahedral cells. It is more commonly known as a 600-cell or hexacosichoron. Other derivative polychora 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. Also known as polytets or n-tets.
• 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.

[edit] References

• The On-Line Encyclopedia of Integer Sequences "Number of nonisomorphic polytetrahedra with n identical regular tetrahedra connected face-to-face and/or edge-to-edge (chiral shapes counted twice)."
• Lang, Robert J. "Polypolyhedra in Origami" (PDF). Retrieved on 2006-12-16.