Polytetrahedron

Polytetrahedron is a term used for three distinct types of objects, all basedon 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" [http://www.langorigami.com/science/polypolyhedra/3rd%20OSME%20Polypolyhedra.pdf] . There exist two topologically distinct polytetrahedra, each made up of four intersecting triangles.

References

* [http://www.research.att.com/~njas/sequences/A119602 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)."
*cite paper
author = Lang, Robert J
title = Polypolyhedra in Origami
url = http://www.langorigami.com/science/polypolyhedra/3rd%20OSME%20Polypolyhedra.pdf
format = PDF
accessdate = 2006-12-16