2022/11/15 by Gabriel Dorfsman-Hopkins, Dorfsman-Hopkins, Gabriel
Computer Science · Engineering · #00-01 #37F75 #3D Shape Modeling and Analysis #65D17 #68U05 #Complex Variables (math.CV) #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #Computer Graphics and Visualization Techniques #FOS: Computer and information sciences #FOS: Mathematics #History and Overview (math.HO)
paper · pdf · doi:10.48550/arxiv.2211.08333
openalex publication_date 2022/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study applications of 3D printing to the broad goal of understanding how mathematical objects vary continuously in families. To do so, we model the varying parameter as the vertical axis of a 3D print, introducing the notion of a static animation: a 3D printed object each of whose layers is a member of the continuously deforming family. We survey examples and draw connections to algebraic geometry, complex dynamics, chaos theory, and more. We also include a detailed tutorial (with accompanying code and files) so that the reader can create static animations of their own.