Edge-joined regular hexagons of the honeycomb tiling; the cell centres form a triangular lattice.
The 7 free tetrahexes.
| Figure | Order | Free | One-sided | Fixed | Verified |
|---|---|---|---|---|---|
| monohex | 1 | 1 | 1 | 1 | ✓ 15/15 |
| dihex | 2 | 1 | 1 | 3 | ✓ 15/15 |
| trihex | 3 | 3 | 3 | 11 | ✓ 15/15 |
| tetrahex | 4 | 7 | 10 | 44 | ✓ 15/15 |
| pentahex | 5 | 22 | 33 | 186 | ✓ 15/15 |
| hexahex | 6 | 82 | 147 | 814 | ✓ 15/15 |
| heptahex | 7 | 333 | 620 | 3,652 | ✓ 15/15 |
| octahex | 8 | 1,448 | 2,821 | 16,689 | ✓ 15/15 |
Reference sequences: Free A000228, One-Sided A006535, Fixed A001207.