List of surfaces

This is a list of surfaces, by Wikipedia page.

See also List of algebraic surfaces, List of curves, Riemann surface.

Minimal surfaces

  • 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

  • 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

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

Quadrics

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

Pseudospherical surfaces

  • Dini's surface
  • Pseudosphere

Algebraic surfaces

See the list of algebraic surfaces.

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