The Möbius strip is made by rotating one of the ends of a 2D strip 180° and then glueing these together. I was wondering, how wide can the strip be? For example, can we still make a Möbius strip from a square? Making a Möbius strip by rotating the long sides of the strip seems impossible without stretching the strip.
And how will the strip look like if we let the width grow on "both" sides (of which there is actually one)?