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The strictest version of the problem was solved in 2023, after an initial discovery in 2022. The einstein problem can be seen as a natural extension of the second part of Hilbert's eighteenth problem, which asks for a single polyhedron that tiles Euclidean 3-space, but such that no tessellation by this polyhedron is isohedral. [3]
In 2023, Kaplan was part of the team that solved the einstein problem, a major open problem in tiling theory and Euclidean geometry. The problem is to find an "aperiodic monotile", a single geometric shape which can tesselate the plane aperiodically (without translational symmetry) but which cannot do so periodically. The discovery is under ...
In March 2023, four researchers, David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss, announced the proof that the tile discovered by David Smith is an aperiodic monotile, i.e., a solution to the einstein problem, a problem that seeks the existence of any single shape aperiodic tile. [3]
David Smith is an amateur mathematician and retired print technician from Bridlington, England, [1] who is best known for his discoveries related to aperiodic monotiles that helped to solve the einstein problem. [2] [3]
Tornado outbreak of March 24–25, 2023. A deadly tornado outbreak hits Mississippi, United States, killing at least 26 people, devastating several rural towns, and prompting Governor Tate Reeves to declare a state of emergency, while President Joe Biden promises federal assistance.
The einstein problem is solved by a single shape that tiles a plane without repeating. (Science News) (New Scientist) March 26, 2023 ( 2023-03-26 ) (Sunday)
Credit - Photo-Illustration by TIME; Capelle.r/Getty Images; Artfully79/Getty Images. W hen the German philosopher Immanuel Kant puzzled over why nature looks beautiful to us, he considered the ...
2023 [79] Mirrored monotiles, the first example of an "einstein". Aperiodic monotile construction diagram, based on Smith (2023) Smith–Myers–Kaplan–Goodman-Strauss or "Spectre" polytile: 1: E 2: 2023 [80] "Strictly chiral" aperiodic monotile, the first example of a real "einstein". Supertile made of 2 tiles. TS1 2 E 2: 2014 [81]