Graph of iterating in
starting with n = i
Before Mathematica I
never would have seen this graph! Notice, another spiral! (Actually there are 4
spirals here if you look at the endpoints of the segments). And notice that
ii is
a real number! Amazing stuff here. One
of the finest math sites on the internet, which has interactive applets, is IES
in Japan. One applet they
made was inspired by the graph above, is under complex
number. You
can drag the point at 0+1i around
the complex plane to get some amazing things!! (You need to download Java (free)
to see these).
See
Chapter 11 Questions and answers.