Euler's Formula

Here is a graphical representation of Euler's Formula:

e^ix = cos x + i sin x.

At first, you see a red bar whose length is e^x laid out along the horizontal axis. When the Start button is depressed, segments are pealed off this bar in lengths given by successive terms in the Taylor series for e^x. These segments are then arranged as they would appear in the Taylor series for e^ix.