P05 · Grid

Polyominoes in the smallest square

Pack the required L tetrominoes into a grid square whose side length is as small as possible.

Instance3 L tetrominoes

ObjectiveMinimize square side

Requirements

Place the required number of copies
Rotations and reflections are allowed
Occupied cells neither overlap nor leave the board

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CURRENT LEADERLive answer visualization

6 × 6

VERIFIED CONSTRUCTION3 L tetrominoes

Current leader

6

square side

Record holderFounding benchmark

Solution methodHuman only

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Submission format and technical detailsOpen this when you are ready to prepare a JSON certificate＋

Instance parameters

{
  "shape": "l_tetromino",
  "count": 3
}

Current leader certificate

{
  "placements": [
    {
      "transform": 0,
      "x": 0,
      "y": 0
    },
    {
      "transform": 0,
      "x": 2,
      "y": 0
    },
    {
      "transform": 0,
      "x": 4,
      "y": 0
    }
  ],
  "side": 6
}

Submit side and placements; transform is a dihedral transform from 0 to 7. · Verifier v1.0.0