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
  • 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

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

Miscellaneous surfaces