Inner Eye

This is what happens to an ordinary Mandelbrot when the complex plane is played about with, two transforms are applied the first squares and inverts the complex plane resulting in the characteristic "eye" share (compare with New Model Eye below), the second is a circle fold out.



Created using Saturn and Titan [link]

Parameters

Formula: Mandelbrot

z = transform(z)
z = z^2 + c


Programs: saturn and titan
Number of A transforms: 0
Number of B transforms: 0
Transform sequence: A
Number of Complex Plane transforms: 2
Transform 0: power, -2 + 0i
Transform 1: circle fold out, diameter 1 centred at -0.25 + 0i
Initial values of z: 0 + 0i
Image centre: 0 + 0i
Image width: 6
Rotation about image centre: 0 degrees
Maximum iterations: 500
Bailout: norm(z) > 4
Colour selection: outer for bailout otherwise inner
Outer colouring: absolute log of minimum change in magnitude
Inner colouring: absolute log of exponential sum of magnitude