English

Looping Animations Using the Modular Flow and Elliptic Functions

History and Overview 2026-04-28 v2

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.

Cite

@article{arxiv.2603.02088,
  title  = {Looping Animations Using the Modular Flow and Elliptic Functions},
  author = {Clayton Shonkwiler},
  journal= {arXiv preprint arXiv:2603.02088},
  year   = {2026}
}

Comments

Revision to improve exposition; 4 pages, 4 figures

R2 v1 2026-07-01T10:59:34.210Z