List of surfaces

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

thumb|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

thumb|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

thumb|A Klein bottle

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

Quadrics

thumb|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

thumb|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

thumb|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