The Rubik's Cube dates to my childhood, when it was for leaving on a desk to be fiddled with — or, for a select few strange birds, for actually solving, sometimes very quickly. At that time, knowing ...

Geometry also predicted that if you fragmented a flat surface randomly, it would break into rough rectangles, and if you did the same in three dimensions, it would produce rough cubes. But for any of ...

If you can ever peer beyond three dimensions, you will be able to see wondrous things: hyperdimensional jewels; shapes made of cubes and spheres arranged in mind-boggling formations. These beautiful ...