Four-Piece Oddities
|
Pieces |
Vertical | Horizontal | Birotary | Double Bilateral | Sextarotary | Full | Ternary & Horizontal | Ternary & Vertical | Trirotary |
| 1234 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1235 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1236 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1237 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1245 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1246 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1247 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1256 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1257 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1267 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1345 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1346 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1347 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1356 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1357 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1367 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1456 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
| 1457 |  |
 |
 |
 |
 |
 |
 |
 |
|
| 1467 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 1567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2345 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2346 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2347 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2356 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2357 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2367 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2456 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2457 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2467 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 2567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 3456 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 3457 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 3467 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 3567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 4567 |
Five-Piece Oddities
|
Pieces |
Vertical | Horizontal | Birotary | Double Bilateral | Sextarotary | Full | Ternary & Horizontal | Ternary & Vertical | Trirotary |
| 12345 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 12346 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 12347 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 12356 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 12357 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 12367 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 12456 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 12457 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 12467 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 12567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 13456 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 13457 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 13467 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 13567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 14567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 23456 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 23457 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 23467 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 23567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 24567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 34567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
Six-Piece Oddities
|
Pieces |
Vertical | Horizontal | Birotary | Double Bilateral | Sextarotary | Full | Ternary & Horizontal | Ternary & Vertical | Trirotary |
| 123456 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 123457 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 123467 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 123567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 124567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 134567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
| 234567 |  |
 |
 |
 |
 |
 |
 |
 |
 |
Seven-Piece Oddities
|
Pieces |
Vertical | Horizontal | Birotary | Double Bilateral | Sextarotary | Full | Ternary & Horizontal | Ternary & Vertical | Trirotary |
| 1234567 |  |
 |
 |
 |
 |
 |
 |
 |
 |