Rotating the Lemniscate of Bernoulli

This applet explores the surface of revolution obtained by rotation of the Lemniscate of Bernoulli about any axes of rotation in 3D.[br][br][list][*]Drag the sliders for the polar angle [b][i]θ[/i][/b], and the angle [i][b]φ[/b][/i] between the zAxis and the axis of rotation (the yellow line) to select different positions for that axis.[/*][*]See the special cases for the axis of rotation: in any of the coordinate planes and on the coordinate axes.[br][/*][/list]

Information:  Rotating the Lemniscate of Bernoulli