Polar

In this example, smoothly transform the polar curve r=2\sin 2\theta into the polar curve r=1-2\cos\theta.

polarHere is how to do this with Scientific Notebook:

  1. Type (1-t)2\sin 2\theta+t(1-2\cos\theta) and choose Compute > Plot 2D Animated > Polar.
  2. Revise the plot. Intervals: 0<t<1.