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