Paper Mathematics - Part 1

Geometry Level 4

Above is an image of a Möbius strip with three half twists.

What shape do we get after cutting along the dashed line?

Details and Assumptions:

  1. A half twist is a \(180^{\circ}\) rotation of one side of the paper before you stick them together.

  2. We define a twisted loop to be a loop with a positive even number of half twists.

See Part 2 and Part 3.


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