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arXiv:2108.06307math-ph

Skateboard Tricks and Topological Flips

Justus Carlisle, Kyle Hammer, Robert Hingtgen, Gabriel Martins

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Abstract

We study the motion of skateboard flip tricks by modeling them as continuous curves in the group $SO(3)$ of special orthogonal matrices. We show that up to continuous deformation there are only four flip tricks. The proof relies on an analysis of the lift of such curves to the unit 3-sphere. We also derive explicit formulas for a number of tricks and continuous deformations between them.

arXiv comments
20 pages, 12 figures
Journal reference
DOI
Subjects
math-phMathematical Physics math.DGDifferential Geometry

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