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

zZ-coordinate of the point (dimensionless)
cConsant (c>0 opens down along the x-axis and up along the y-axis) (dimensionless)
yY-Coordinate of the point (ordinate) (dimensionless)
bConstant that dictate the level of curvature in the y-z (dimensionless)
xX-coordinate of the point (dimensionless)
aConstant that dictate the level of curvature in the x-z plane (dimensionless)