Galvagni Figures for Polyfetts

Introduction

A polyfett is a plane figure formed by joining equal isosceles right triangles on the quadrille grid at vertices or equal edges. Polifetti are a generalization of polyaboloes. See Catalogue of Polyfetts.

A Galvagni Figure is a polyform that can be tiled by a given polyform in two or more ways. Here I show Galvagni Figures for polyfetts with up to 3 cells.

  • Monofett
  • Difetts
  • Trifetts

    • Monofett

    The monofett has no Galvagni Figure.

    Difetts

    Of the 10 difetts, 7 have Galvagni Figures.

    No Solution

    Trifetts

    2 Tiles

    3 Tiles

    4 Tiles

    6 Tiles

    8 Tiles

    10 Tiles

    12 Tiles

    16 Tiles

    No Solution

    Hypersymmetric Variant

    This shape has greater symmetry than its tiling. Such figures are automatically Galvagni Figures.

    Last revised 2024-12-18.

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    Col. George Sicherman [ HOME | MAIL ]