Galvagni Figures for Polyhings

Introduction

A polyhing is a figure made of equal regular hexagons joined edge to edge or vertex to vertex in parallel. A Galvagni Figure is a polyform that can be tiled by a given polyform in more than one way—a kind of self-compatibility figure.

Here are minimal known Galvagni Figures for polyhings of orders 1 through 4. If you find a smaller solution, please write.

  • Monohing
  • Dihings
  • Trihings
  • Tetrahings
  • Monohing

    Impossible

    Dihings

    Trihings

    Tetrahings

    Variants with Mirror Symmetry

    Impossible

    Last revised 2014-12-07.


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    Col. George Sicherman [ HOME | MAIL ]