Zucca's Challenge Problem

Livio Zucca's Tetrominoes Challenge Page challenges you to find plane regions that can be tiled with each of a given set of tetrominoes and no others. Here I show solutions to the corresponding problem for some other polyforms. If you have a smaller solution for any of these sets, please let me know.

For tetrahexes, see Zucca's Challenge Problem for Tetrahexes. For extrominoes (trikings), see Zucca's Challenge Problem for Extrominoes.

  • Polyiamonds
  • Polypents

    • Polyiamonds

    A polyiamond is a figure made of equilateral triangles adjoined edge to edge. A tetriamond has four triangles and a pentiamond has five.

    Tetriamonds

    Pentiamonds

    Polypents

    Polypents don't look as neat as the previous polyforms, because they cannot form solid masses.

    Tripents

    Here is a compatibility diagram for the 2 tripents.

    Tetrapents

    Pairs

    Triples

    Quadruples

    Quintuples

    Last revised 2012-05-19.

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    Col. George Sicherman [ HOME | MAIL ]