Mathematicians are “reinventing the wheel” by giving it a new shape. Their newly imagined wheel looks like a many-dimensional guitar pick, and it could theoretically roll in ways beyond our ...

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 ...

Several years ago, retired military officer Guan Baihua invented what may be the ultimate geometry geek bicycle. The front wheel is a pentagonal curve, and the back wheel is a reuleaux triangle (a ...