Free polyocts may be reflected as well as rotated. One-sided polyocts may be rotated but not reflected.
| Order | Free | One-Sided |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 1 | 1 |
| 3 | 3 | 3 |
| 4 | 11 | 17 |
| 5 | 50 | 84 |
| 6 | 269 | 510 |
| 7 | 1 605 | 3 120 |
| 8 | 10 102 | 20 034 |
| 9 | 65 323 | 130 104 |
| 10 | 430 302 | 859 549 |
Matthias Koch and
Sascha
Kurz have enumerated polyocts up through order 15.
See Matthias Koch and Sascha Kurz, Enumeration of Generalized
Polyominoes.
(Thanks to Dr. Kurz for letting me check my results against his.)
