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.

中文翻译：

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迈向模块化形式的飞跃

模块化形式是在数论中研究的高度自对称函数，与数学的几个领域都有联系。但是它们很少被可视化。我们讨论正在进行的工作，以计算和可视化3D曲面的模块化形式，并使用这些技术来制作视频在这些“模块化地形”的峰顶和峡谷周围飞行。我们的目标是做出漂亮的可视化效果，以揭示这些功能的对称性。