A pretty cool applet which demonstrates parallel transport: http://en.wikipedia.org/wiki/Parallel_transport http://en.wikipedia.org/wiki/Parallel_transport On

A pretty cool applet which demonstrates parallel transport: http://en.wikipedia.org/wiki/Parallel_transport http://en.wikipedia.org/wiki/Parallel_transport On a curved surface, the angle which the arrows twists around a closed loop is proportional to the area inside the loop.