Looping Animations Using the Modular Flow and Elliptic Functions

2026/03/02 by Clayton Shonkwiler · 1 voice
Mathematics · #math.HO

paper · pdf

arxiv published 2026/03/02 · arxiv updated 2026/04/24

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.

Citations

• CMasher: Scientific colormaps for making accessible, informative and 'cmashing' plots

Discussions

• Clayton Shonkwiler: Looping Animations Using the Modular Flow and Elliptic Functions https://arxiv.org/abs/2603.02088 https://arxiv.org/pdf/2603.02088 https://arxiv.org/html/2603.02088 [bsky, 0 points, 0 comments]

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