Wallis's Conical Edge

The Right Conoid surface given by the parametric equations

$$x(u,v) = v\cos u$$

$$y(u,v) = v\sin u$$

$$z(u,v) = c\sqrt{a^2-b^2\cos^2 u}.$$

See also Right Conoid

References

Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 354-355, 1993.