Year: 2021
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Carlisle, Justus, Hammer, Kyle, Hingtgen, Robert, Martins, Gabriel
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3195594908