Mathematicians Crack Decades-Long Tiling Puzzle with Upgraded Einstein Shape
TL;DR
Researchers have discovered a new-and-improved "einstein" - a single shape that tiles a plane, or an infinite two-dimensional flat surface, but only in a nonrepeating pattern. The new monotile discovery does not use reflections and is a close relative of the original "hat" einstein. The team produced a family of strong or "strictly chiral aperiodic monotiles" through a simple modification of the T(1,1) tile, named "Spectres," which only allow nonperiodic tilings, and without reflections.
Topics:sciencescience-and-technology#aperiodic-monotile#einstein#mathematics#science-and-technology#spectres#tiling
- With a New, Improved 'Einstein,' Puzzlers Settle a Math Problem The New York Times
- This infinite tiling pattern could end a 60-year mathematical quest Nature.com
- Upgraded 'Vampire Einstein' Shape Finally Solves Vexing Mathematical Pattern Problem Gizmodo
- Mathematicians improve on unique never-repeating tile discovery New Scientist
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