Turning a perfect sphere on the lathe looks simple — until the blank starts revealing its own flaws. Every cut must be controlled, balanced, and measured with absolute precision. As the corners ...

This video is about the problem of turning a sphere inside out, by passing the surface through itself, without making any holes or creases. Mathematicians believed the problem to be unsolvable until ...

Outside In explains the amazing discovery, made by Steve Smale in 1957, that a sphere can be turned inside out by means of smooth motions and self-intersections. Through a combination of dialogue and ...