singlesingle
1×1 · 1 occupied cell
Space planning
Shape dimensions matter because a large empty-cell count can still hide narrow or disconnected spaces that cannot accept the current fixed piece.
Count connected geometry, not just empty cells. Nine scattered cells do not hold a 3×3 square, and five cells split across two rows do not hold a horizontal 1×5 line.
| Shape | Required opening | Occupied cells |
|---|---|---|
| 3×3 square | Contiguous 3×3 opening | 9 |
| Horizontal 1×5 | Five adjacent cells in one row | 5 |
| Vertical 5×1 | Five adjacent cells in one column | 5 |
| Wide rectangle (3×2) | Two adjacent rows of three | 6 |
| Tall rectangle (2×3) | Three adjacent rows of two | 6 |
| Corner | Orientation-specific L pocket | 3 |
These presets come from production data and are grouped by family. Each card shows the exact fixed orientation, width × height, and occupied-cell count passed to the solver.
singlesingle
1×1 · 1 occupied cell
horizontal-2horizontal-2
2×1 · 2 occupied cells
vertical-2vertical-2
1×2 · 2 occupied cells
horizontal-3horizontal-3
3×1 · 3 occupied cells
vertical-3vertical-3
1×3 · 3 occupied cells
horizontal-4horizontal-4
4×1 · 4 occupied cells
vertical-4vertical-4
1×4 · 4 occupied cells
horizontal-5horizontal-5
5×1 · 5 occupied cells
vertical-5vertical-5
1×5 · 5 occupied cells
square-2square-2
2×2 · 4 occupied cells
square-3square-3
3×3 · 9 occupied cells
rectangle-2x3rectangle-2x3
3×2 · 6 occupied cells
rectangle-3x2rectangle-3x2
2×3 · 6 occupied cells
corner-top-leftcorner-top-left
2×2 · 3 occupied cells
corner-top-rightcorner-top-right
2×2 · 3 occupied cells
corner-bottom-leftcorner-bottom-left
2×2 · 3 occupied cells
corner-bottom-rightcorner-bottom-right
2×2 · 3 occupied cells
The solver does not rotate or reflect a piece automatically. A horizontal 1×5 opening does not help a vertical 5×1 piece unless a line clear changes the board first. Use the 5×5 custom editor when the current shape or orientation is not represented by a preset, then review the exact occupied cells before solving.
This is a provisional convenience list, not an official complete shape inventory. It makes no claim about production frequency, tray generation, rotation controls, or whether a future game version will use the same pieces.