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On Alan Schoen’s I-WP minimal surface

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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 \(60^\circ \).

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All authors contributed equally to the manuscript. All authors reviewed the manuscript.

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Correspondence to Matthias Weber.

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Dedicated to the memory of Alan Schoen (December 11, 1924–July 26, 2023).

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Lee, D., Weber, M. & Yerger, A.T. On Alan Schoen’s I-WP minimal surface. Ann Glob Anal Geom 65, 21 (2024). https://doi.org/10.1007/s10455-024-09951-2

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