The table below gives counts for the number of polyforms of the most common classes. Much of the data below comes from a set of enumeration programs written by Aaron Siegel, although many of the figures appear in puzzle literature as well. The counts for octotans and enneatans (order 8 and 9 polytans, also called polyaboloes) correct earlier published data, and have been confirmed by Nob Yoshigahara, citing computer analysis by his colleague Taro. Counts of polyedges were made by hand by Brian Barwell up through order 6, and confirmed by Siegel's program.
Hyperlinks show full-set constructions with various sets.
The best source for polyform puzzle sets is Kadon Enterprises, which makes wood and acrylic versions of most of the standard polyomino, polycube, polytan, polyhex, and polyiamond sets (these are shaded (grey background) in the table above); see their website for other sets.
This article is copyright ©2001, 2007 by Michael Keller. All rights reserved.
Back to main page