On Alan Schoen's I-WP Minimal Surface
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909063781023744 |
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| author | Lee, Dami Weber, Matthias Yerger, A. Tom |
| author_facet | Lee, Dami Weber, Matthias Yerger, A. Tom |
| contents | We discuss in detail Alan Schoen's I-WP surface, an embedded triply periodic minimal surface of genus 4 with cubical symmetries. We exhibit various geometric realizations of this surface with the same conformal structure and use them to prove that the associate family of the I-WP surface contains six surfaces congruent to I-WP at Bonnet angles that are multiples of $60^\circ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15010 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Alan Schoen's I-WP Minimal Surface Lee, Dami Weber, Matthias Yerger, A. Tom Differential Geometry 53A10, 49Q05, 30F40 We discuss in detail Alan Schoen's I-WP surface, an embedded triply periodic minimal surface of genus 4 with cubical symmetries. We exhibit various geometric realizations of this surface with the same conformal structure and use them to prove that the associate family of the I-WP surface contains six surfaces congruent to I-WP at Bonnet angles that are multiples of $60^\circ$. |
| title | On Alan Schoen's I-WP Minimal Surface |
| topic | Differential Geometry 53A10, 49Q05, 30F40 |
| url | https://arxiv.org/abs/2309.15010 |