Storti, Duane2022-05-052022-05-052022-05-04http://hdl.handle.net/1773/48587This paper was presented at the International Symposium on Symbolic and Algebraic Computation (ISSAC 2020).We introduce an algebraic formulation for the shape skeleton transform (also known as the medial axis transform) and present a concrete low-degree example. While we can now construct an algorithmic approach and provide a proof-of-concept example, small increases in algebraic degree or geometric complexity cause the algebraic computations to become intractable, and we propose the algebraic skeleton transform as a challenge problem for algebraic computation.Attribution-NoDerivs 3.0 United Stateshttp://creativecommons.org/licenses/by-nd/3.0/us/Article