Catalogue of Polytets

A polytet, or polytetrahedron, is a solid made by joining platonic tetrahedra face to face. Here I show all the polytets of order up through 5.

Two-sided polytets may be reflected as well as rotated. One-sided polytets may be rotated but not reflected.

This page at StackExchange reproduces the problem. It presents a polytet enumeration program by a member with code name wastl, and a newer program by David Ellsworth that he says corrects bugs in the other program. His program is here at GitHub.

Enumeration

In this table, the shaded rows were computed by David Ellsworth. See this entry at StackExchange.

CellsTwo-SidedOne-Sided
A276272
111
211
311
434
5710
62339
789164
8398767
918593656
10915418184
114588491498
12234182487811
1312076042413970
14628326312563999
153291137465817022
16173381671346751574
179177532811835479513
1848780405519756025287

Monotet

Ditet

Tritet

Tetratets

Achiral

Chiral

Pentatets

Achiral

Chiral

Last revised 2025-11-26.


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Col. George Sicherman [ HOME | MAIL ]