Three Hexacube Construction Puzzles

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Two objects are to be constructed: "keys," made from assemblies of thirty cubes. Each key is similar, with a bottom layer of twenty-five cubes arranged in a square and an upper layer of five cubes. The "key_corner" has the five cubes at the corners and center of the square array, while the "key_diagonal" has the five cubes on the diagonal of the square array. The puzzles are composed of five hexacubes. The first, "puzzle_corner," is a very simple one. The second, "puzzle_diagonal," is also simple. The third and final puzzle, "puzzle_both," is just a bit harder. Note that "puzzle_corner" only makes "key_corner," while "puzzle_diagonal" only makes "key_diagonal." "Puzzle_both" makes both "key_corner" and "key_diagonal." "Assemble_pieces.scad" constructs the puzzle pieces, which can be used to construct many additional puzzles. "View_answers.scad" shows the answers.