Eight Surface

The Surface of Revolution given by the parametric equations

$$x(u,v) = \cos u\sin(2v)$$ (1)

$$y(u,v) = \sin u\sin(2v)$$ (2)

$$z(u,v) = \sin v$$ (3)

for $u\in[0,2\pi)$ and $v\in[-\pi/2, \pi/2]$.

See also Eight Curve

References

Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 209-210 and 224, 1993.