On Alan Schoen's I-WP Minimal Surface

2023/09/26 by Lee, Dami, Weber, Matthias, Yerger, A. Tom
#30F40 #49Q05 #53A10 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.15010

Abstract

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^∘.

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