On Alan Schoen's I-WP Minimal Surface
- Resource Type
- Working Paper
- Authors
- Lee, Dami; Weber, Matthias; Yerger, A. Tom
- Source
- Subject
- Mathematics - Differential Geometry
53A10, 49Q05, 30F40
- Language
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 $60^\circ$.
Comment: 15 pages, 22 figures