|         |         | 
The order  of an Algebraic Surface is the order of the Polynomial defining a surface, which can be geometrically
interpreted as the maximum number of points in which a line meets the surface.
 of an Algebraic Surface is the order of the Polynomial defining a surface, which can be geometrically
interpreted as the maximum number of points in which a line meets the surface.
| Order | Surface | 
| 3 | Cubic Surface | 
| 4 | Quartic Surface | 
| 5 | Quintic Surface | 
| 6 | Sextic Surface | 
| 7 | Heptic Surface | 
| 8 | Octic Surface | 
| 9 | Nonic Surface | 
| 10 | Decic Surface | 
See also Algebraic Surface
References
Fischer, G. (Ed.).  Mathematical Models from the Collections of Universities and Museums.
  Braunschweig, Germany: Vieweg, p. 8, 1986.