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

Ruled surfaces

Non-orientable surfaces

Quadrics

Pseudospherical surfaces
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