List of surfaces

This is a list of surfaces, by Wikipedia page.

See also List of algebraic surfaces, List of curves, Riemann surface.

Minimal surfaces

• Costa surface
• Catenoid
• Helicoid
• Riemann's surface
• Saddle tower
• Gyroid
• Catalan surface
• Enneper surface

Non-orientable surfaces

• Klein bottle

• Real projective plane
  • Cross-cap
  • Roman surface
  • Boy's surface

Quadrics

• Sphere
• Spheroid
  • Oblate spheroid
• Cone (geometry)
• Ellipsoid
• Hyperboloid of one sheet
• Hyperboloid of two sheets
• hyperbolic paraboloid (a ruled surface)
• Paraboloid

Pseudospherical surfaces

• Dini's surface
• Pseudosphere

Algebraic surfaces

See the list of 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

• right conoid (a Ruled surface)