Elliptic Cylinder

A Cylinder with Elliptical Cross-Section. The parametric equations for an elliptic cylinder of height $h$, Semimajor Axis $a$, and Semiminor Axis $b$ are

$$\begin{eqnarray*} x&=&a\cos\theta\\ y&=&b\sin\theta\\ z&=&z, \end{eqnarray*}$$

where $\theta\in [0,2\pi)$ and $z\in [0,h]$.

See also Cone, Cylinder, Elliptic Cone, Elliptic Paraboloid