Towards Flying Through Modular Forms
David Lowry-Duda and Adam Sakareassen

Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture
Pages 273–276
Short Papers

Abstract

Modular forms are highly self-symmetric functions studied in number theory, with connections to several areas of mathematics. But they are rarely visualized. We discuss ongoing work to compute and visualize modular forms as 3D surfaces and to use these techniques to make videos flying around the peaks and canyons of these “modular terrains.” Our goal is to make beautiful visualizations exposing the symmetries of these functions.

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