Domsliced Pentominoes

Domsliced Pentominoes

thingiverse

Human: These modified pentominoes are created by slicing two adjacent squares in half, resulting in a unique shape that challenges traditional tessellations.\nOriginally proposed by Roel Huisman last century, they provide an exciting opportunity for hand solvers to replicate the pieces five times over.\nThe intricate 6-fold replica you see here was generated programmatically, yet all possible replicas are feasible. When it comes to solid forms, the 4x4x9 and 6x6x4 boxes stand out, as some pieces must be positioned orthogonally to others.\nHow I Created This Design\nBy utilizing SVG files for the perimeters, I was able to triangulate the bottom face and achieve accurate corner alignment for orthogonal faces. To avoid issues with sliced U-pentominoes and sharp polygon corners, I implemented a 0.2mm inset on the sides. The original square size is set at 15mm.

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