Tiling an L Shape with a Tetromino and a Pentomino

Introduction

Here I show the smallest known L shapes, measured by area, that can be tiled with copies of a given tetromino and a given pentomino, using at least one of each. If you find a smaller solution or solve an unsolved case, please write.

  • Arbitrary L Shapes
  • Symmetric L Shapes
  • Arbitrary L Shapes

    9 Cells

    13 Cells

    14 Cells

    17 Cells

    18 Cells

    21 Cells

    22 Cells

    23 Cells

    25 Cells

    26 Cells

    31 Cells

    32 Cells

    34 Cells

    36 Cells

    39 Cells

    43 Cells

    65 Cells

    76 Cells

    86 Cells

    109 Cells

    115 Cells

    Unsolved

    Symmetric L Shapes

    9 Cells

    13 Cells

    21 Cells

    24 Cells

    32 Cells

    33 Cells

    35 Cells

    45 Cells

    48 Cells

    60 Cells

    63 Cells

    72 Cells

    77 Cells

    80 Cells

    84 Cells

    96 Cells

    112 Cells

    128 Cells

    195 Cells

    209 Cells

    Last revised 2024-12-11.


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    Col. George Sicherman [ HOME | MAIL ]