Six Hexomino 6x6 Tiling Puzzles

Six Hexomino 6x6 Tiling Puzzles

thingiverse

Many Tiling Puzzles - thing:3166570 contains an image of all possible hexominoes, identifying them with numbers. A program by dmoews finds 13,710 ways to tile a 6x6 square by choosing 6 different hexominoes from the set of 35 possible hexominoes. The list of tiling sets includes six sets that differ from each other by a single hexomino. This suggests a way to present six puzzles without identifying hexominoes by number. If unique pieces are printed with one color and common pieces in a second color, the solver can be given six puzzles, one at a time, by presenting one of the unique pieces plus five common pieces. Two stl files are provided: one contains five common pieces, the second six unique pieces. OpenSCAD code is included, with Six_all_different.scad listing 13,710 solutions. Make_six_puzzles.scad makes five_pieces.stl, six_pieces.stl, and any of the 13,710 puzzles identified by line number.

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