This new shape that looks like a pyramid always falls with the same side

In 2023, Domukos – along with graduate students, Girg Madey and Crazina Reg. Robert Dawson From St. Mary University in Canada – she agreed that it is already possible to distribute quadruple weight so that he sits on one face only. At least in theory.

But the run, Dawoos and Domokos wanted to build something, a task that turned out to be more challenging than they expected. Now, in Preprint published on the Internet yesterday, they came The first physical model works From the shape. The quadruple, which weighs 120 grams and measures 50 cm along its longer side, is made of lightweight carbon fiber and thick tingstin carbid. To work, it had to be designed at the accuracy level in ten grams and ten millimeters. But the final construction always turns on one face, just as it should.

The work shows the important role for experience and playing in research mathematics. It also has possible practical applications, as in the design of spacecraft that runs the self.

Bab said: “I did not expect more work to appear on the quadruple of Assad.” However, he added that the team’s research allows mathematicians “to” really appreciate the extent that we did not know and the comprehensiveness of our understanding now. “

The turning point

In 2022, Al -Madda, who is looking forward to becoming an architect, joined the Domokos Mechanics course. He didn’t say much, but Domokos saw a hard factor in deep thinking. At the end of the semester, Domokos asked him to draw a simple algorithm to explore how to balance Rabaidra.

When Conway originally posed his problem, his only choice was to use pencils and paper to prove, through abstract athletic thinking, that mono -monuments exist. It was almost difficult to determine a concrete example. But Al -Midi, who was working after decades, had computers. It can make a brutal research through a large number of possible forms. Ultimately, the Al -Mid Al -Mudarjat Program for the four heads of the Raratron is found, when setting some weight distributions, can be mono. Conway was right.

Krisztina Regős helped discover new features of Tetrahedra.

Photo: Completion of Krisztina Regős; Mrs. Tara Inman

Robert Dawson helped discover new properties from Tetrahedra.

The field has found monochrome quadruple, but there are supposed to be others. What are the characteristics they shared?

Although this may seem like a simple question, it is not possible to describe a statement like “quadruple monotheism” easily in a simple format or a small set of equations.

The team realized that in any monolithic quadruple, you will need three consecutive edges (where the pairs of faces meet) to form a separate angles – ranging from more than 90 degrees. This would ensure that one face is suspended on the other, allowing it to act.

Then mathematicians showed that any quadruple with this feature can be unilateral if the center of the mass is placed in one of the four “loading areas” – the four -surface areas in the original shape. As long as the bloc center is located inside the loading area, the quadruple is balanced on only one face.

Gömböc, which was discovered in 2006, can stand on only two points, one stable, and the other unstable. Mathematics continued to search for other forms with interesting budget properties.

Photo: gábor domokos