Design and Copyright : Mitsuhiro Odawara. Following 8 pieces (Octominoes) will be assembled to 8×8×1 or 4×4×4. The name of each piece is as follows.
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8×8×1 : 1 solution.
4×4×4 : 1 solution.
These pieces are chosen on the following conditions.
That both 8×8×1 and 4×4×4 can be assembled has only 11 ways under these conditions. (see Octominoes about the number of pieces)
| Piece Set | 8×8×1 | 4×4×4 | Remark | Difficulty | ||
|---|---|---|---|---|---|---|
| 1. | 51 52 53 54 59 122 237 276 | 1 | 1 | 1.7 | 3.0 | |
| 2. | 51 52 53 59 60 82 124 129 | 1 | 1 | Double Unique | 1.3 | 2.5 |
| 3. | 51 52 54 59 83 122 125 162 | 2 | 3 | 1.2 | 1.5 | |
| 4. | 51 52 54 60 122 123 126 159 | 1 | 1 | 1.0 | 3.5 | |
| 5. | 51 52 54 60 122 123 162 237 | 2 | 1 | 0.5 | 2.7 | |
| 6. | 51 52 54 62 122 125 162 237 | 1 | 1 | 1.4 | 3.0 | |
| 7. | 51 52 59 60 122 125 129 162 | 2 | 1 | 1.2 | 4.6 | |
| 8. | 52 53 54 60 123 125 126 159 | 1 | 1 | Neo Double Unique | 4.3 | 7.1 |
| 9. | 52 54 59 60 82 126 166 240 | 2 | 8 | CHECKER constructable | 0.6 | 0.3 |
| 10. | 52 54 59 60 125 126 237 240 | 1 | 1 | 3.0 | 5.2 | |
| 11. | 53 54 59 62 126 162 237 240 | 1 | 1 | 0.2 | 1.8 | |
Following combinations use more 4×4 which has a no U shape.
| Piece Set | 8×8×1 | 4×4×4 | Remark | Difficulty | ||
|---|---|---|---|---|---|---|
| 12. | 51 52 53 60 83 125 126 159 | 1 | 1 | 1.0 | 2.6 | |
| 13. | 51 52 53 62 122 125 162 263 | 1 | 1 | 1.2 | 2.1 | |
| 14. | 51 52 54 59 60 125 126 280 | 1 | 1 | 1.5 | 0.6 | |
| 15. | 51 52 54 122 125 162 165 170 | 4 | 2 | 0.4 | 1.6 | |
| 16. | 51 52 59 60 122 159 166 264 | 1 | 1 | 1.0 | 1.4 | |
| 17. | 51 52 59 60 125 162 169 268 | 1 | 1 | 1.7 | 1.7 | |
| 18. | 51 52 60 82 125 126 129 268 | 1 | 1 | 0.8 | 1.8 | |
| 19. | 51 52 60 122 123 162 237 280 | 1 | 1 | 0.7 | 0.4 | |
| 20. | 51 54 59 60 129 240 245 364 | 2 | 1 | <0.1 | <0.1 | |
| 21. | 51 54 59 82 126 211 237 239 | 1 | 1 | 0.6 | 0.6 | |
| 22. | 51 54 62 82 126 128 211 237 | 1 | 1 | 0.5 | 0.8 | |
| 23. | 51 54 62 82 126 211 237 240 | 1 | 1 | 0.5 | 0.9 | |
| 24. | 51 60 125 126 129 211 240 264 | 1 | 1 | 0.7 | 1.0 | |
| 25. | 52 53 54 60 122 126 129 244 | 2 | 1 | 1.7 | 3.4 | |
| 26. | 52 53 54 60 126 159 240 264 | 4 | 2 | 0.4 | 1.1 | |
| 27. | 52 53 59 60 125 126 159 276 | 1 | 1 | 3.8 | 3.9 | |
| 28. | 52 53 59 60 126 129 159 276 | 1 | 1 | 3.1 | 3.9 | |
| 29. | 52 53 60 126 162 211 237 280 | 1 | 2 | 1.8 | 0.5 | |
| 30. | 52 53 62 125 126 169 245 276 | 1 | 1 | 2.2 | 1.2 | |
| 31. | 52 54 59 60 125 162 169 296 | 2 | 1 | 1.4 | 2.3 | |
| 32. | 52 54 59 60 126 159 244 263 | 1 | 1 | 2.7 | 2.0 | |
| 33. | 52 54 60 82 126 129 245 280 | 1 | 1 | 1.5 | 0.8 | |
| 34. | 52 59 122 123 126 165 245 280 | 3 | 1 | 0.1 | 1.2 | |
| 35. | 54 59 60 62 82 126 128 237 | 1 | 1 | 1.5 | 1.9 | |
| 36. | 54 59 60 82 122 126 129 162 | 1 | 8 | 1.9 | 0.6 | |
| 37. | 54 60 125 126 211 237 240 264 | 1 | 1 | 1.7 | 1.4 | |
There are 519 ways under following conditions.
