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List of surfaces

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List of surfaces
Summary

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This is a list of surfaces in mathematics. They are divided into minimal surfaces, ruled surfaces, non-orientable surfaces, quadrics, pseudospherical surfaces, algebraic surfaces, and other types of surfaces.

Minimal surfaces

A Scherk surface
  • Catalan's minimal surface
  • Costa's minimal surface
  • Catenoid
  • Enneper surface
  • Gyroid
  • Helicoid
  • Lidinoid
  • Riemann's minimal surface
  • Saddle tower
  • Scherk surface
  • Schwarz minimal surface
  • Triply periodic minimal surface

Ruled surfaces

A right conoid
  • Catalan surface
  • Right conoid
  • Conical surface
  • Helicoid
  • Developable rollers (sphericon, oloid)
  • Hyperboloid of one sheet (doubly ruled)
  • Hyperbolic paraboloid (doubly ruled)
  • Rational normal scroll
  • Regulus

Non-orientable surfaces

A Klein bottle
  • Klein bottle
  • Real projective plane
    • Cross-cap
    • Roman surface
    • Boy's surface

Quadrics

A hyperboloid of two sheets
  • Sphere
  • Spheroid
    • Oblate spheroid
    • Prolate spheroid
  • Ellipsoid
  • Cone (geometry)
  • Hyperboloid of one sheet
  • Hyperboloid of two sheets
  • Hyperbolic paraboloid (a ruled surface)
  • Paraboloid

Pseudospherical surfaces

  • Dini's surface
  • Pseudosphere

Algebraic surfaces

Main article: List of algebraic surfaces

The Barth sextic
  • Cayley cubic
  • Barth sextic
  • Clebsch cubic
  • Monkey saddle (saddle-like surface for 3 legs.)
  • Torus
  • Dupin cyclide (inversion of a torus)
  • Whitney umbrella

Miscellaneous surfaces

Boy's surface
  • Boy's surface
  • Cantor tree surface
  • Homoeoid
  • Jacob's ladder surface
  • Loch Ness monster surface
  • Morin surface
  • Seashell surface
  • Superegg
  • Supertoroid
  • Wallis's conical edge
  • Whitney umbrella
Wikipedia Source

This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.

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