Ending a six-decade-old mathematical mystery with the help of computational methods, a trio of Chinese scientists have proven that manifolds of Kervaire invariant one do exist in dimension 126. The ...

It can be tempting to assume that your intuitions about three-dimensional space carry over to higher-dimensional realms. After all, adding another dimension simply creates a new direction to move ...

Physicists are exploring whether hidden dimensions and the shape of space could help explain why fundamental particles have ...

Mathematicians are creating their own version of the periodic table that will provide a vast directory of all the possible shapes in the universe across three, four and five dimensions, linking shapes ...

Mathematicians have long wondered how “shapes of constant width” behave in higher dimensions. A surprisingly simple construction has given them an answer. In 1986, after the space shuttle Challenger ...