For shapes in 3D space ... It turns out such a construction is impossible. Modern math students learn the angle trisection problem—and how to prove it’s not possible—in their Galois Theory ...

were impossible. But his own student, Robert Berger, outwitted him, finding a set of 20,426 shapes that, when carefully arranged, never repeated. He then slimmed that down to a set of 104 tiles.

“I’m not really into math, to be honest — I did it at ... but they initially believed the shapes were impossible. That turned out to be wrong, because within years a set of 20,426 tiles ...

I’ll be the first to admit that math isn’t my strongest subject ... I thought I would be able to figure out the ‘impossible’ year two maths question that’s doing the rounds on the ...

Mathematicians have been searching → In 1961, the mathematician Hao Wang proposed that such aperiodic tilings were impossible ... and then a set of just 104 shapes. The game was on: How few ...