Tiling a Polyomino at Scale 2 with a Heptomino

  • Introduction
  • Table
  • Solutions
  • Holeless Variants

    • Introduction

    A heptomino is a figure made by joining seven squares edge to edge. There are 108 such figures, not distinguishing reflections and rotations.

    Here I study the problem of arranging copies of a heptomino to form some polyomino that has been scaled up by a factor of 2.

    See also

  • Tiling a Polyomino at Scale 2 with a Pentomino
  • Tiling a Polyomino at Scale 2 with Two Pentominoes
  • Tiling a Polyomino at Scale 2 with a Tetromino and a Pentomino
  • Tiling a Polyomino at Scale 2 with a Hexomino
  • Tiling a Polyiamond at Scale 2 with Two Hexiamonds
  • Tiling a Polyabolo at Scale 2 with Two Tetraboloes

    • Solutions

    So far as I know, these solutions use as few tiles as possible. They are not necessarily uniquely minimal.

    4 Tiles

    8 Tiles

    12 Tiles

    16 Tiles

    28 Tiles

    Last revised 2026-03-08.

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    Col. George Sicherman [ HOME | MAIL ]