Discrete Minimal Nets with Symmetries

Joseph Cho; Wayne Rossman; Seong Deog Yang

doi:10.1007/978-3-030-68541-6_3

Discrete Minimal Nets with Symmetries

Joseph Cho, Wayne Rossman, Seong Deog Yang

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

In this paper, we extend the notion of Schwarz reflection principle for smooth minimal surfaces to the discrete analogues for minimal surfaces, and use it to create global examples of discrete minimal nets with high degree of symmetry.

Original language	English
Title of host publication	Minimal Surfaces
Subtitle of host publication	Integrable Systems and Visualisation - Workshops, 2016-19
Editors	Tim Hoffmann, Martin Kilian, Katrin Leschke, Francisco Martin
Publisher	Springer
Pages	35-50
Number of pages	16
ISBN (Print)	9783030685409
DOIs	https://doi.org/10.1007/978-3-030-68541-6_3
Publication status	Published - 2021
Event	Workshop Series of Minimal Surfaces: Integrable Systems and Visualisation, 2016-19 - Cork, Ireland Duration: 2017 Mar 27 → 2017 Mar 29

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	349
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	Workshop Series of Minimal Surfaces: Integrable Systems and Visualisation, 2016-19
Country/Territory	Ireland
City	Cork
Period	17/3/27 → 17/3/29

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

Keywords

Discrete minimal nets
Reflection principle

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-030-68541-6_3

Cite this

Discrete Minimal Nets with Symmetries. / Cho, Joseph; Rossman, Wayne; Yang, Seong Deog.
Minimal Surfaces: Integrable Systems and Visualisation - Workshops, 2016-19. ed. / Tim Hoffmann; Martin Kilian; Katrin Leschke; Francisco Martin. Springer, 2021. p. 35-50 (Springer Proceedings in Mathematics and Statistics; Vol. 349).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Cho, J, Rossman, W & Yang, SD 2021, Discrete Minimal Nets with Symmetries. in T Hoffmann, M Kilian, K Leschke & F Martin (eds), Minimal Surfaces: Integrable Systems and Visualisation - Workshops, 2016-19. Springer Proceedings in Mathematics and Statistics, vol. 349, Springer, pp. 35-50, Workshop Series of Minimal Surfaces: Integrable Systems and Visualisation, 2016-19, Cork, Ireland, 17/3/27. https://doi.org/10.1007/978-3-030-68541-6_3

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Discrete Minimal Nets with Symmetries

Abstract

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Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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