Doyle Spiral and Mobius Transformation
Doyle spiral + Mobius transformation
can you identify what function is this?
it looks like a Mobius Transformation. But what's the exact parameters and what's the input image? (assume each ball is just a dot.)
Mobius Transformation is a function of the form
f[z] = (a z + b) / (c z + d) and
a d − b c ≠ 0. The variables are all complex numbers.
For a simple geometric explanation of complex numbers, see: Isometries: Translation, Rotation, Reflection and Mandelbrot Set Explained (no complex number needed) .