# Spiral Explorer

Spiral Explorer

In his book Spirals: From Theodorus to Chaos, Philip J. Davis explores the recurrence relation =a+b/, where and are complex numbers. If you set and with =1, then you obtain what Davis refers to as the 'discrete' version of the spiral of Theodorus. By varying the values of and it is possible to obtain a wide variety of different spiral-like structures.

z

n+1

z

n

z

n

z

n

a

b

a=1

b=

z

0

a

b