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.
  • Drag the sliders for the polar angle θ, and the angle φ 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.