Lovers of the unique taste of drink poured an unexpected gift on the floor or in the bathroom when calculating the spread of a mathematical riddle that has been fought over for almost 60 years. Is it possible to create a tile in such a shape that the one laid out from one’s own pattern does not repeat in any area – regardless of the size of the area it covers?
The answer was received back in the 1960s – of course, you can. The catch is how many tiles of different shapes are needed to create such an aperiodic structure. The first version of the solution contains 20,000 rare tiles. Mathematicians got down to business and gradually took away the number of drinks, until the eroger penrose n n His “Penrose mosaic” consists of only two types of drinks, from which it was possible to lay out which of the latter
Since then, to calculate to understand whether it is possible to create an aperiodic tile from just one shape. Smith was the first to succeed, Professor Craig Kaplan wrote a program that helped to check the observance of the aperiodicity conditions on the areas of reaching the scale, including giant ones. The tile was called “HAT”.
However, after the creation of the “shy”, it became clear that with the new variations of the form, a significant amount of tax material could be created. Dnako professor cap final patterns.
Source: Tech Cult
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