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. 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.)
