On Alan Schoen’s I-WP minimal surface

On Alan Schoen’s I-WP minimal surface

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 si...

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Veröffentlicht in:Annals of global analysis and geometry 2024-03, Vol.65 (2), p.21, Article 21
Hauptverfasser: Lee, Dami, Weber, Matthias, Yerger, A. Tom
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Angles (geometry)
Differential Geometry
Euclidean space
Geometry
Global Analysis and Analysis on Manifolds
Mathematical Physics
Mathematics
Mathematics and Statistics
Minimal surfaces
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Zusammenfassung: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 ∘ .
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-024-09951-2