English

On Alan Schoen's I-WP Minimal Surface

Differential Geometry 2024-01-09 v2

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 6060^\circ.

Keywords

Cite

@article{arxiv.2309.15010,
  title  = {On Alan Schoen's I-WP Minimal Surface},
  author = {Dami Lee and Matthias Weber and A. Tom Yerger},
  journal= {arXiv preprint arXiv:2309.15010},
  year   = {2024}
}

Comments

15 pages, 22 figures

R2 v1 2026-06-28T12:32:51.960Z