Barnsley's Tree

iterations

28

points

81

z

0

This Demonstration plots a fractal of the Julia type (the simplest linear case), choosing a maximum number of iterations and using an escape radius of 2. This fractal is obtained by iterating the function

z

n+1

=

z

c

(

z

n

-sgn(Re(

z

n

)))

starting at the point

z

0

;

sgn(x)

is the sign function and

Re(z)

is the real part of

z

.