Paper Mathematics - Part 3

Geometry Level 2

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 18 0 ∘ 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 .

A single twisted loop with no knot Two Möbius strips which are seperate A square Two love hearts linked together A single twisted loop with a knot Two Möbius strips which are linked together Two twisted loops which are linked together A single Möbius strip with a knot

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Isaac Buckley by Isaac Buckley , 24, United Kingdom

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1 solution

Isaac Buckley
Jan 15, 2016

love love

Awww, it's so cute!

What do you get if you use two left single half twist Möbius strips?

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