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Comment on Skateboard Tricks and Topological Flips

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So if I understand correctly, letting “~” denote homotopy equivalence,

  Kickflip ~ 360 shove it

  Ollie ~ 720 shove it ~ double kickflip

I may have missed it in the paper, but does anyone have intuition about how to visualize these homotopies? I don’t get how to continuously deform a 720 shove it into an Ollie.
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