# Hyperbolic paraboloid equation

## Description

The hyperbolic paraboloid (not to be confused with a hyperboloid) is a doubly ruled surface shaped like a saddle. In a suitable coordinate system, a hyperbolic paraboloid can be represented by an equation witch constants dictate the level of curvature and the way that the paraboloid opens down and up along the x-axis and y-axis.

Related formulas## Variables

z | Z-coordinate of the point (dimensionless) |

c | Consant (c>0 opens down along the x-axis and up along the y-axis) (dimensionless) |

y | Y-Coordinate of the point (ordinate) (dimensionless) |

b | Constant that dictate the level of curvature in the y-z (dimensionless) |

x | X-coordinate of the point (dimensionless) |

a | Constant that dictate the level of curvature in the x-z plane (dimensionless) |