Classification of spatial polygons that could possibly generate embedded triply periodic minimal surfaces

DOI10.3836/tjm/1244208681zbMath1048.53005OpenAlexW2072252170MaRDI QIDQ1429182

Tetsuro Kawasaki

Publication date: 18 May 2004

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208681

zbMATH Keywords

symmetriesspatial polygonscrystallographic group

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Statistical mechanics of crystals (82D25) Other geometric groups, including crystallographic groups (20H15)

Cites Work

• Embedded minimal surfaces derived from Scherk's examples
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• Construction of triply periodic minimal surfaces
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