2021/08/13 by Justus Carlisle, Kyle Hammer, Carlisle, Justus +5 · 1 voice
#math-ph #math.DG
paper · pdf · doi:10.48550/arxiv.2108.06307
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.