Vertical I-Pentomino Compatibility

Introduction

A pentomino is a plane figure made of five squares joined edge to edge. The I pentomino is a pentomino whose cells are all in a row.

The compatibility problem is to find a figure that can be tiled with each of a set of polyforms. Here I show the smallest known figure that can be tiled with a given polyomino and also with the I pentomino, using the I pentomino only in vertical position. These minimal solutions are not necessarily unique.

For compatibility of arbitrary pairs of pentominoes, see Pentomino Compatibility.

  • Trominoes
  • Tetrominoes
  • Pentominoes
  • Hexominoes

    • Trominoes

    Tetrominoes

    Pentominoes

    No Solution

    The X pentomino is incompatible with the I pentomino, whether or not the I pentomino may be rotated.

    Hexominoes

    No Solution

    These hexominoes have no solution.

    Unsolved

    The T hexomino has no known solution.

    Last revised 2024-05-27.

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    Col. George Sicherman [ HOME | MAIL ]