Meet the game-changing 'Einstein' tile 💡🔲! David Smith, a retiree, unlocked a puzzle that stumped mathematicians for decades - a single tile that can fill an infinite plane without repeating. MathMagic TileRevolution UnsolvedNoMore 🎉🧩
, Smith constructed a jagged, 13-sided shape. Vaguely reminiscent of a top hat, he began filling the screen with copies of it. They joined seamlessly and, to his surprise, without repeating.Keen to investigate further, he cut out dozens of paper copies and started fresh. One after another, the tiles kept falling into place. They invited him deeper into a striking visual pattern — and as it grew, so too did his excitement.
Before the 13-sided “hat” revealed itself to Smith, it was anyone’s guess whether an einstein even existed.the first set of tiles that could be laid out aperiodically. This was a landmark innovation but, with an unwieldy 20,246 distinct shapes, it was not yet a viable option for DIY home renovators. . “If you have a good eye and an inquiring mind, you can find things that other people trying to work through theory can’t find.”Smith’s ingenuity set things in motion. But because we’re dealing with an infinite plane, no amount of fiddling with finite tiles can guarantee the pattern won’t eventually start over.
It begins with a set of “metatiles,” simple polygons that roughly resemble small groupings of hats. From there, you can combine metatiles into supertiles, supertiles into supersupertiles, and so on to the endless reaches of infinity.
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