Galvagni Figures

Galvagni's Compatibility Problem is to construct a figure that can be tiled with a specified polyform in more than one way. The problem was suggested by Jeremy Galvagni in 2004.

A Reid Figure is a Galvagni Figure without holes. A Plover Figure is a Galvagni Figure made without reflecting the polyform.

  • Polyominoes
  • Polyiamonds
  • Polyhexes
  • Other Plane Polyforms
  • Solid Polyforms
  • Polyominoes
    Galvagni Figures & Reid Figures for Pentominoes. Galvagni Figures & Reid Figures for Octominoes.
    Galvagni Figures & Reid Figures for Hexominoes. Holeless Plover Figures for Polyominoes.
    Galvagni Figures & Reid Figures for Heptominoes.

    Polyiamonds

    Galvagni Figures & Reid Figures for Heptiamonds. Galvagni Figures & Reid Figures for Enneiamonds.
    Galvagni Figures & Reid Figures for Octiamonds. Galvagni Figures & Reid Figures for Dekiamonds.
    Plover Figures for Polyiamonds.

    Polyhexes

    Galvagni Figures & Reid Figures for Pentahexes. Galvagni Figures & Reid Figures for Heptahexes.
    Galvagni Figures & Reid Figures for Hexahexes. Galvagni Figures & Reid Figures for Octahexes.
    Plover Figures for Polyhexes.

    Other Plane Polyforms

    Galvagni Figures for Polypents. Galvagni Figures for Polyhepts.
    Galvagni Figures for Polyocts. Galvagni Figures & Reid Figures for Polyhops.
    Galvagni Figures for Polyenns. Galvagni Figures for Polyjogs.
    Galvagni Figures for Polydecs. Galvagni Figures for Polyhendecs.
    Galvagni Figures for Polydodecs. Galvagni Figures for Polypentagrams.
    Galvagni Figures for Polymings. Galvagni Figures for Polylines.
    Galvagni Figures for Polykites. Galvagni Figures & Reid Figures for Polycairos.
    Galvagni Figures for Polyaboloes. Galvagni Figures for Polyhings.
    Galvagni Figures for Didrafters.

    Solid Polyforms

    Galvagni Figures & Plover Figures for Pentacubes. Galvagni Figures for Hexacubes.
    Galvagni Figures for Heptacubes. Galvagni Figures & Plover Figures for Tetrominoids.
    Galvagni Figures for Polyprisms. Galvagni Figures for Tetrarhons.

    Back to Polyform Compatibility < Polyform Curiosities
    Col. George Sicherman [ HOME | MAIL ]