At first, let's dissolve equation 
= φ to obtain this ratio.
φ = 
OK, draw one sqare S1 and second smaller square S2, such that length of them are equal S1/S2 = φ. Look below:
Now, you can draw next smaller square and so on...
Let's assume that p0=(0,0), p1=(μ,μ), ... then pn= ??? Why we need this? Look below:
What more, we can find limes when 
. Find it! (Hint: complex numbers)
If you'll find .. for example you can also write the program which draws "infinite" spirals, like this below:
Source Code: GoldenRatio.java
