P06 · Grid

Non-touching polyomino density

Place as many L tetrominoes as possible on the fixed board without overlap, edge contact, or corner contact.

Instance10 × 10 board

ObjectiveMaximize copy count

Requirements

Copies share no cells
Different copies share neither edges nor corners
Every cell stays on the board

Challenge this record ↗

CURRENT LEADERLive answer visualization

10 × 10

VERIFIED CONSTRUCTION4 L tetrominoes

Current leader

4

copy count

Record holderFounding benchmark

Solution methodHuman only

Challenge this record ↗

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

Instance parameters

{
  "shape": "l_tetromino",
  "width": 10,
  "height": 10
}

Current leader certificate

{
  "placements": [
    {
      "transform": 0,
      "x": 0,
      "y": 0
    },
    {
      "transform": 0,
      "x": 4,
      "y": 0
    },
    {
      "transform": 0,
      "x": 0,
      "y": 5
    },
    {
      "transform": 0,
      "x": 4,
      "y": 5
    }
  ]
}

Submit placements; cells in different copies must have Chebyshev distance greater than 1. · Verifier v1.0.0