Now, more than 122 years after it was first proposed, Kamata and two other mathematicians have finally proved that a solution ...

"We achieved this using a novel proof technique that utilizes matching diagrams." In their study, the researchers proved a key theorem: There is no dissection between an equilateral triangle and a ...

hence proving that a dissection between a square and an equilateral triangle cannot be achieved with three or fewer pieces. The matching diagram played a central role in their proof. In this ...

TOKYO -- A Japan-U.S. research team on March 10 offered a mathematical proof that "Dudeney's dissection," a challenge to cut ...

Mathematicians struggled to find the fewest number of pieces needed to cut an equilateral triangle and rearrange it into a ...

“Over a century later, we have finally solved Dudeney’s puzzle by proving that the equilateral triangle and square have no common dissection with three or fewer polygonal pieces,” says Prof. Uehara.

hence proving that a dissection between a square and an equilateral triangle cannot be achieved with three or fewer pieces. The matching diagram played a central role in their proof. In this method, ...

She reported from Washington. President Trump signed an executive order on Tuesday that will require proof of U.S. citizenship on election forms, in an aggressive push to catch and combat voter ...