Full Symmetry from Pairs of Hexiamonds

A hexiamond is a plane figure formed by joining six equal equilateral triangles edge to edge.

Here I show the smallest known polyiamonds with full (snowflake) symmetry that can be formed by copies of two hexiamonds, using at least one of each. If you find a smaller solution or solve the unsolved case, please write.

See also Baiocchi Figures for Polyiamonds.

  • Basic Solutions
  • Holeless Variants
  • Basic Solutions

    Every pair of hexiamonds has a solution with at most 15 tiles.

    Holeless Variants

    Here I do not show holeless solutions that already appear above.

    Unsolved Holeless

    Last revised 2023-09-25.

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    Polyiamond and Polyming Tiling < Polyform Tiling < Polyform Curiosities
    Col. George Sicherman [ HOME | MAIL ]