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.

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 |

**References**

Fischer, G. (Ed.). *Mathematical Models from the Collections of Universities and Museums.*
Braunschweig, Germany: Vieweg, p. 8, 1986.

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1999-05-26