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

 * 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

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