Unusual Surroundings for a Mandelbrot

[element90]

A sequence of zooms leading to a Mandelbrot island, not in the standard Mandelbrot set.





https://copy.com/cUiTAFdC691h
https://copy.com/7DHL4pI8iDGN
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Formula:

z = transform(z)
z = alpha(beta*z^gamma + delta*z^epsilon)

initial z = 1
alpha = location in the complex plane
beta = -2.5
gamma = -2
delta = 1
epsilon = -5

Two transform sets:

A - empty
B - inverse fold out (circle diameter = 2.5)

Transform sequence AB i.e. the transform sets are applied on alternate iterations.

Colour method is absolute log of exponential inverse change sum