By Bob Ma
This is a quick simulation of twisting a loop into a Möbius strip. The second slider traces the outer edges around the loop. If the number of turns is even, then the same end will meet itself after only one loop, demonstrating a two dimensional surface. The two edges, blue and red, will always remain their respective edges. If the number of turns is odd, then, in two loops, one edge will traverse the entire perimeter of the surface, illustrating a one dimensional Möbius strip.
Graphical limitations allow up to four twists. Edges trace from 0 to 4Pi along the surface.
Copyright © Spring 2010