Catalogue of Polyhepts

A polyhept is a figure made of regular heptagons joined edge to edge. Here I show all the polyhepts of order up through 6.

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

Enumeration

Order	Two-Sided	One-Sided
1	1	1
2	1	1
3	2	2
4	7	11
5	25	43
6	118	223
7	558	1 085
8	2 876	5 693
9	14 982	29 819
10	80 075	159 867
11	431 889	863 066

Matthias Koch and Sascha Kurz have enumerated polyhepts up through order 16. See Matthias Koch and Sascha Kurz, Enumeration of Generalized Polyominoes.

Monohept

Dihept

Trihepts

Tetrahepts

Pentahepts

Hexahepts

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Col. George Sicherman [ HOME | MAIL ]