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This is a contribution by Alexandre Owen Muñiz of Puzzle Zapper. It's a 24-squares hybrid of first order squares with an extra edge type, combining a transcendental solution and a starmap. I'll leave you with the inventor's commentary: I was recently reading the material on starmap puzzles on your site, and I had the idea of using an extra edge type. In the attached diagram, the semicircles must connect with an adjacent copy, while the triangles must see another copy from a distance greater than one. The x's must see only empty space in the direction they face. Using fixed orientation pieces like in your version would have given 81 pieces, which was more than I wanted to handle, so I used pieces that can be rotated (but not flipped.) These pieces are isomorphic to the 24 3-edge-colored MacMahon squares. There are 32 edges of each type, the same as the perimeter of an 8×8 square, just as with the fixed orientation 2 edge type tiles. This was a challenging puzzle, but it never felt tedious; I felt like I was learning more about how the pieces interacted until I finally managed a solution. |
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