So here are nine more brutally difficult math problems that once seemed impossible ... S^3,” which essentially says “the simplest 4D shape is the 4D equivalent of a sphere.” ...

Soon after discovering the shape in November 2022, he contacted a math professor and later ... but they initially believed the shapes were impossible. That turned out to be wrong, because within ...

While this might seem simple, the math is quite complicated, as the problem involves both area maximization and movement of ...

And eventually it creates this larger waffle cone shape. Calcea Johnson ... that two of your students had solved this almost impossible math problem, were they universally applauded?

Without those qualifications, you’re simply another kind of shape. To be plausible ... have also shown that the math of superluminal particles may not be impossible after all.

But is there a single shape that tiles such a surface — an ... the mathematician Hao Wang proposed that such aperiodic tilings were impossible. But one of his students soon proved him wrong ...