Towards Flying through Modular Forms
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866908465010573312 |
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| author | Lowry-Duda, David Sakareassen, Adam |
| author_facet | Lowry-Duda, David Sakareassen, Adam |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_15116 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Towards Flying through Modular Forms Lowry-Duda, David Sakareassen, Adam Number Theory Graphics 11F03 I.3.3; I.3.7 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. |
| title | Towards Flying through Modular Forms |
| topic | Number Theory Graphics 11F03 I.3.3; I.3.7 |
| url | https://arxiv.org/abs/2104.15116 |