Catalogue of Polypents

A polypent is a figure made of regular pentagons joined edge to edge. Here I show all the polypents of order up through 6.

Free polypents are classified by congruence, with no cell used as a base. Two-sided polypents may be rotated and reflected. One-sided polypents may be rotated but not reflected.

Enumeration

OrderFree
Two-Sided
Free
One-Sided
111
211
322
4711
52543
6118223
75511 072
82 8125 564
914 44528 747
1076 092151 897
11403 976807 245
122 167 1164 332 812

Matthias Koch and Sascha Kurz have since enumerated polypents up through order 16. You may see some of their results at Professor Kurz's Generalized Polyomino Enumeration Page.

The enumeration for free polypents is A103465 in the On-Line Encyclopedia of Integer Sequences.

The figures below show two-sided polypents.

Monopent

Dipent

Tripents

Tetrapents

Pentapents

Hexapents


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Col. George Sicherman [ HOME | MAIL ]