# Paper Mathematics - Part 3

Geometry Level 3

Above is an image of a left single half twist Möbius strip and a right single half twist Möbius strip glued together at right angles.

What shape do you get after you cut along the dashed lines?

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 1 and Part 2.

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