Mathematician Jordan Ellenberg answers the internet's burning questions about geometry. How are new shapes still being discovered? Where are we using Pythagorean theorem in real life? How many ...

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.

Plato believed that humans were uniquely attuned to geometry; the linguist Noam Chomsky has argued that language is a biologically rooted human capacity. Dr.

Determination? Perseverance? The ability to identify triangles in a police lineup? Is mastering Geometry really a key for future success? The Shut Up Sisters say, "you bet your rhombus it isn't!" ...

But why, then, does geometry sometimes seem so difficult? "My guess is it's difficult because it focuses on proofs," says Spelke. It's not enough to have the intuition that we apparently all share.