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
A Scherk surface
Ruled surfaces
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
A Klein bottle
- Klein bottle
- Real projective plane
- Cross-cap
- Roman surface
- Boy's surface
Quadrics
A hyperboloid of two sheets
Pseudospherical surfaces
Algebraic surfaces
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
Boy's surface
See also
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