This is a list of surfacess 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

• 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

• Möbius strip

• 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

• 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

• Breather surface

• Cantor tree surface

• Channel surface

• Clebsch surface

• Gaussian curvature

• Gaussian surface

• Generalized helicoid

• Homoeoid

• Jacob's ladder surface

• Kuen surface

• Klein surface

• Loch Ness monster surface

• Morin surface

• Seashell surface

• Superegg

• Supertoroid

• Wallis's conical edge

• Whitney umbrella

• Zoll surface

See also

• List of curves

• Riemann surface