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...

Full description

Saved in:
Bibliographic Details
Published inAnnals of global analysis and geometry Vol. 65; no. 2; p. 21
Main Authors Lee, Dami, Weber, Matthias, Yerger, A. Tom
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2024
Springer Nature B.V
Subjects
Analysis
Angles (geometry)
Differential Geometry
Euclidean space
Geometry
Global Analysis and Analysis on Manifolds
Mathematical Physics
Mathematics
Mathematics and Statistics
Minimal surfaces
Associate surfaces
Riemann surfaces
Minimal surfaces
Triply periodic
Online AccessGet full text

Cover

More Information
Summary: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