Cutting a Moebius strip
The animation shows what happens if we cut a Moebius strip in three pieces. A moving cursor controls the cutting, while another cursor, that can be moved along a circumpherence, controls the number of torsions that can be make on the band before pasting it. In this way, we can cut not only the Moebius strip (half a torsion), but also a cylinder (no torsions) and various surfaces obtained with 2 or more half torsions. Another animation shows what happens if we cut the Moebius strip in two pieces.
animazione di Gian Marco Todesco