Date: March 27, 2023 09:51PM
“The einstein problem asks about the existence of a single prototile that by itself forms an aperiodic set of prototiles, that is, a shape that can tessellate space, but only in a nonperiodic way. Such a shape is called an einstein, a play on the German words ein Stein, meaning one stone.”https://en.m.wikipedia.org/wiki/Einstein_problem
Penrose discovered the ‘Penrose Tiles’ 50 yrs ago, which was a phenomenal mathematical feat, for the past 50 years, even though it was two shapes, kites and darts.
Then this tinkerer came along and developed a single 13 sided shape that is non-repeating, based upon a hexagonal (honeycomb) pattern.https://www.sciencenews.org/article/mathematicians-discovered-einstein-tile
It just amazes me that here it is 1/4 of the way through the 21st C and we have super computers and it’s taken all this time for one of us to figure out how to make a single shape that makes a non-repeating pattern.
Math is beautiful.
Edited 1 time(s). Last edit at 03/27/2023 10:11PM by schrodingerscat.