Elliptic Cone

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

$$x = (h-z)a\cos\theta$$

$$y = (h-z)b\sin\theta$$

$$z = z,$$

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

See also Cone, Elliptic Cylinder, Elliptic Paraboloid, Hyperbolic Paraboloid

References

Fischer, G. (Ed.). Plate 68 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, p. 63, 1986.