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The solutions below were sent to us by Jack Wetterer, associate professor of physics at the US Air Force Academy and a big fan of polyomino and polycube sets. Professor Wetterer liked the way we package Heptominoes as a three-part rectangle and worked out a couple of three-rectangle divisions for Sextillions. Notice that the middle ones have a hole that's the shape of one of the pieces.
Jack also liked our star-shape design for Poly-5 and built an even larger one with the combined sets, with co-solver Chris Patterson. Enjoy! ![]() ![]() ![]() Later we received this awesomely symmetrical solution from Darian Jenkins. He tells us that he used Gerard's Universal Polyomino Solver to find all 4579 solutions to the pentomino-tetromino part. The hexomino part has over 20,000 solutions! ![]() Another time, Jack Wetterer sent us these two rectangular solutions that allow division of the Sextillions set into 3 subrectangles, with the 12 "unequal" pieces all contained in one group. Jack custom-ordered these in the color divisions you see here, to match the style of his Heptominoes and Octominoes.
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Another great discovery in 2021 with the hexomino set we call Sextillions was made by Livio Zucca, a world-class polyomino researcher. The 35 hexominoes have a little oddity about them, containing 11 shapes that, if checkerboarded, yield 4 and 2 squares each. The other 24 divide evenly into 3 and 3. We color them accordingly.
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