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- Schwarz_minimal_surface abstract "In differential geometry, the Schwarz minimal surfaces are periodic minimal surfaces originally described by Hermann Schwarz.In the 1880s Schwarz and his student E. R. Neovius described periodic minimal surfaces. They were later named by Alan Schoen in his seminal report that described the gyroid and other triply periodic minimal surfaces.The surfaces were generated using symmetry arguments: given a solution to Plateau's problem for a polygon, reflections of the surface across the boundary lines also produce valid minimal surfaces that can be continuously joined to the original solution. If a minimal surface meets a plane at right angles, then the mirror image in the plane can also be joined to the surface. Hence given a suitable initial polygon inscribed in a unit cell periodic surfaces can be constructed.The Schwarz surfaces have topological genus 3, the minimal genus of triply periodic minimal surfaces.They have been considered as models for periodic nanostructures in block copolymers, electrostatic equipotential surfaces in crystals., and hypothetical negatively curved graphite phases.".
- Schwarz_minimal_surface thumbnail Schwarz_P_Surface.png?width=300.
- Schwarz_minimal_surface wikiPageExternalLink schwartz.html.
- Schwarz_minimal_surface wikiPageExternalLink genus3.html.
- Schwarz_minimal_surface wikiPageExternalLink periodic.html.
- Schwarz_minimal_surface wikiPageExternalLink index.php?lang=e&n1=research_tpms.
- Schwarz_minimal_surface wikiPageID "36763333".
- Schwarz_minimal_surface wikiPageLength "4925".
- Schwarz_minimal_surface wikiPageOutDegree "21".
- Schwarz_minimal_surface wikiPageRevisionID "705661526".
- Schwarz_minimal_surface wikiPageWikiLink Category:Differential_geometry.
- Schwarz_minimal_surface wikiPageWikiLink Category:Minimal_surfaces.
- Schwarz_minimal_surface wikiPageWikiLink Catenoid.
- Schwarz_minimal_surface wikiPageWikiLink Copolymer.
- Schwarz_minimal_surface wikiPageWikiLink Diamond_cubic.
- Schwarz_minimal_surface wikiPageWikiLink Differential_geometry.
- Schwarz_minimal_surface wikiPageWikiLink Elliptic_integral.
- Schwarz_minimal_surface wikiPageWikiLink Genus_(mathematics).
- Schwarz_minimal_surface wikiPageWikiLink Gyroid.
- Schwarz_minimal_surface wikiPageWikiLink Hermann_Schwarz.
- Schwarz_minimal_surface wikiPageWikiLink Minimal_surface.
- Schwarz_minimal_surface wikiPageWikiLink Nanostructure.
- Schwarz_minimal_surface wikiPageWikiLink Plateaus_problem.
- Schwarz_minimal_surface wikiPageWikiLink Tissue_engineering.
- Schwarz_minimal_surface wikiPageWikiLink Triply_periodic_minimal_surface.
- Schwarz_minimal_surface wikiPageWikiLink Weierstrass–Enneper_parameterization.
- Schwarz_minimal_surface wikiPageWikiLink File:Schwarz_CLP_Surface.png.
- Schwarz_minimal_surface wikiPageWikiLink File:Schwarz_D_Surface.png.
- Schwarz_minimal_surface wikiPageWikiLink File:Schwarz_H_Surface.png.
- Schwarz_minimal_surface wikiPageWikiLink File:Schwarz_P_Surface.png.
- Schwarz_minimal_surface wikiPageWikiLinkText "D".
- Schwarz_minimal_surface wikiPageWikiLinkText "Diamond or Primitive".
- Schwarz_minimal_surface wikiPageWikiLinkText "Schwarz D".
- Schwarz_minimal_surface wikiPageWikiLinkText "Schwarz H surface".
- Schwarz_minimal_surface wikiPageWikiLinkText "Schwarz P surface".
- Schwarz_minimal_surface wikiPageWikiLinkText "Schwarz P".
- Schwarz_minimal_surface wikiPageWikiLinkText "Schwarz minimal surface".
- Schwarz_minimal_surface wikiPageWikiLinkText "surface families".
- Schwarz_minimal_surface wikiPageWikiLinkText "surfaces described by Schwarz".
- Schwarz_minimal_surface wikiPageUsesTemplate Template:Clear.
- Schwarz_minimal_surface wikiPageUsesTemplate Template:Minimal_surfaces.
- Schwarz_minimal_surface wikiPageUsesTemplate Template:Reflist.
- Schwarz_minimal_surface subject Category:Differential_geometry.
- Schwarz_minimal_surface subject Category:Minimal_surfaces.
- Schwarz_minimal_surface type Foam.
- Schwarz_minimal_surface type Physic.
- Schwarz_minimal_surface type Surface.
- Schwarz_minimal_surface comment "In differential geometry, the Schwarz minimal surfaces are periodic minimal surfaces originally described by Hermann Schwarz.In the 1880s Schwarz and his student E. R. Neovius described periodic minimal surfaces.".
- Schwarz_minimal_surface label "Schwarz minimal surface".
- Schwarz_minimal_surface sameAs Q7433187.
- Schwarz_minimal_surface sameAs m.0l8pkw2.
- Schwarz_minimal_surface sameAs Q7433187.
- Schwarz_minimal_surface wasDerivedFrom Schwarz_minimal_surface?oldid=705661526.
- Schwarz_minimal_surface depiction Schwarz_P_Surface.png.
- Schwarz_minimal_surface isPrimaryTopicOf Schwarz_minimal_surface.
