A British retiree surprises mathematicians with an unprecedented geometric shape

2023-06-10 07:54:00

While waiting for the publication of two scientific articles that would demonstrate the effectiveness of this monotyl, the experts declare themselves fascinated.

A 64-year-old British retiree, fond of mathematics, has surprised geometry experts with an unprecedented discovery: a polygon that can be assembled to infinitywithout recreating the same shape on a larger scale.

Any two-dimensional geometric shape, such as a rhombus, that is assembled on a flat surface, will end up forming a larger rhombus.

But this is not what happens with the so-called 13-sided “hat” that David Smith invented last March.

It’s about a “aperiodic monotile“, that is, in a unique way and that does not generate a repetitive pattern.

In the mathematical jargon, it’s an einsteinwithout this word alluding to the German genius who discovered the theory of relativity.

“Einstein” comes from German “Einstein“: “a stone”.

Discovering an “einstein” was a challenge in the world of geometry for 60 years.

As the discovery has grown in popularity, fans of this modest East Yorkshire retiree, who worked in a printing pressthey have started to print the polygon on t-shirts, or to bake cookies with that shape.

Now David Smith has just returned to demonstrate his genius with a new “stone”: a new polygon named “spectrum”.

The only drawback of the “hat” was that every seven times it had to be given a twist, to avoid the appearance of the same shape.

With the “spectrum”, which Smith has just created with the help of three mathematicians, there is no need to rotate the monotile.

Es “a funny and almost ridiculous storywonderful,” Craig Kaplan, a professor of computer science at Canada’s University of Waterloo, told AFP.

This new “spectrum” has already been tested using powerful software.

Waiting for the publication of two scientific articles that would demonstrate the effectiveness of this monotylthe experts declare themselves fascinated.

Both ways are “awesome”in the words of Doris Schattschneider, a mathematician at the University of Moravia (Pennsylvania), while the 2020 Nobel Prize in Physics, Roger Penrose, a specialist in the field, plans to participate in an event in Oxford in June, to celebrate the event.

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