What does "the object regaining its front and back sides" mean in the following description about the development of the structure of a Mobius strip by continuous cuts?
Text:
A turning point had been the propositional work Caminhando (Trailings), 1964, in which the audience was given instructions to cut along the length of an object made from strips of paper twisted 180 degrees whose ends were glued together in such a way as to transform them into a Mobius strip. The ‘user’ had to avoid cutting the same spot upon completion of each circuit until finally one can cut no longer, the object regaining its front and back sides but without losing its identity as a continuous trail of paper.
A Mobius strip is an curiosity of topology, a plane that has only one surface. You can make one by taking a strip of paper (which has two surfaces, which the writer is calling the front and back sides), rotating one end 180 degrees and taping that to the other end. Among its surprising properties is that if you cut it in half along its lengh, it becomes a normal strip—it regains its two surfaces.
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A Mobius strip is an curiosity of topology, a plane that has only one surface. You can make one by taking a strip of paper (which has two surfaces, which the writer is calling the front and back sides), rotating one end 180 degrees and taping that to the other end. Among its surprising properties is that if you cut it in half along its lengh, it becomes a normal strip—it regains its two surfac