The Wooden 5x15 s-Rectangle


Before I wrote a computer program to solve polyabolo problems, I sawed these pieces with an electric jigsaw and tried to construct rectangles by hand. I spent a lot of time on the 5x15 s-rectangle, but only got smaller ones solved. The task is rather difficult, because there are 2*15+2*3=36 edge squares and the complete set of polyaboloes can cover only 42 edge squares. (cf. all rectangles ) At last the program got a solution, but it isn't a "stable" one. The pieces can't be put one onto the other without sliding down or needing a frame. A stable solution is shown by Andrew Clarke . My solution can be rearranged to construct other models of hexaboloes.
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