On a mild autumn day in 2016, the Hungarian mathematician Gábor Domokos arrived on the geophysicist Douglas Jerolmack’s doorstep in Philadelphia. Domokos carried with him his suitcases, a bad cold, ...

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 ...

Andreas Markus Hoenigschmid is the master of solid geometry, the black magic wizard of three-dimensional space. Check out the dozens of objects he can create with his amazing transforming cubes.

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 ...