Catalogue of Polyocts

A polyoct is a figure made of regular octagons joined edge to edge. Here I show all the polyocts of order up through 5.

Free polyocts may be reflected as well as rotated. One-sided polyocts may be rotated but not reflected.

Enumeration

OrderFreeOne-Sided
111
211
333
41117
55084
6269510
71 6053 120
810 10220 034
965 323130 104
10430 302859 549

Matthias Koch and Sascha Kurz have enumerated polyocts up through order 15. You may see some of their results at Dr. Kurz's Generalized Polyomino Enumeration Page. (Thanks to Dr. Kurz for letting me check my results against his.)

Monoct

Dioct

Triocts

Tetrocts

Pentocts


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Col. George Sicherman [ HOME | MAIL ]