A new product from Microsoft Research. The Sphere comes from the same Microsoft Researchers that developed the Surface, aka "PlayTable".
Courtesy: Todd Bishop
A path that is homoemorphic to a circle devides a compactified plane into two pieces (inside and outside). Arthur Schönflies proved in 1906 that in...
It is possible to turn a sphere inside out in 3-space with possible self-intersections but without creating any crease, a process often called sphere eversion...