David Smith Einstein Hat 28
Description
28 pieces, all equal. They fit together without gaps, but form a surprisingly irregular structure. It is an aperiodic tiling of the plane. Roger Penrose made such tilings famous with two or more pieces. David Smith found a tiling with only one piece, hence the name Einstein. This puzzle is moderately difficult, when the frame is presented. Fitting pieces into the frame, and working along the outside is a helpful strategy. But eventually the last 3 pieces will not fit. Then you have to rethink your placement, and find variations of the placement. Without the frame, it is very hard to fit the 28 pieces together without leaving a gap that is too small to be filled. References: * https://arxiv.org/abs/2303.10798 * https://en.wikipedia.org/wiki/Einstein_problem * https://hedraweb.wordpress.com/ * https://cs.uwaterloo.ca/~csk/hat/ * https://www.smithsonianmag.com/smart-news/at-long-last-mathematicians-have-found-a-shape-with-a-pattern-that-never-repeats-180981899/
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