Looping Animations Using the Modular Flow and Elliptic Functions

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Authors: Clayton Shonkwiler
Cited by: 0

Abstract

This paper describes an approach to generating looping animations using the modular flow and elliptic functions. The modular flow is a flow on lattices with many periodic orbits, and elliptic functions are meromorphic, doubly-periodic functions which can be visualized using domain coloring.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Mathematical and Computational Methods Mathematics and Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
2 March 2026
Language
EN
Document type
Preprint