This grid is also known as a kagome (basket holes) grid, from its resemblance to a Japanese basket weave.
Plane polyforms may be enumerated one-sided, distinguishing mirror images, or two-sided, identifying mirror images. The figures below show two-sided polykagomes.
Here I show all the polykagomes of orders 1 through 6.
Thanks to Mark Smith for naming polykagomes and drawing my attention to them.
| Order | Two-Sided A343398 | One-Sided A350739 |
|---|---|---|
| 1 | 2 | 2 |
| 2 | 1 | 1 |
| 3 | 4 | 4 |
| 4 | 9 | 14 |
| 5 | 30 | 47 |
| 6 | 97 | 178 |
| 7 | 373 | 697 |
| 8 | 1 405 | 2 746 |
| 9 | 5 630 | 11 071 |
| 10 | 22 672 | 45 093 |
| 11 | 93 045 | 185 341 |
