Skateboard Tricks and Topological Flips
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.
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