Welcome to Fractal Forums

(https://copy.com/j9xL1xYxWL4c)
https://copy.com/j9xL1xYxWL4c (https://copy.com/j9xL1xYxWL4c)

Inner rings:

(https://copy.com/nQkLdlkAbiqq)
https://copy.com/nQkLdlkAbiqq (https://copy.com/nQkLdlkAbiqq)

The fractal is a modification of this fractal:

(https://copy.com/INbRMEOelPVC)
https://copy.com/INbRMEOelPVC (https://copy.com/INbRMEOelPVC)

The formula is:

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

initial z = 1
alpha = 1
beta = 1
gamma = 2
delta = 1
epsilon = -2

Two transform sets:

A - empty
B - inverse reflect (circle diameter = 1)

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

nice!

cool!

Cool, I first thought it was a cut and paste in paintbrush :)

Nice marble feeling

There is an error in the settings for the fractal that started this thread, the value of alpha should be:

alpha = location in the complex plane

Changing the transform sequence from AB to ABA and the image becomes:

(https://copy.com/fkilWgD7dm9X)
https://copy.com/fkilWgD7dm9X (https://copy.com/fkilWgD7dm9X)

Changing the B transform set to contain this transform:

circle reflect, diameter 0.1

with a transform sequence of AB.

The result is deformed Tricorns (or Mandelbars).

(https://copy.com/0Cvx8ajNOATg)
https://copy.com/0Cvx8ajNOATg (https://copy.com/0Cvx8ajNOATg)

Circle reflect produces a fractal that features Tricorns and Mandelbrots. Zooming in on barely visible ring at the centre:

(https://copy.com/A91eSTjb3qKx)
https://copy.com/A91eSTjb3qKx (https://copy.com/A91eSTjb3qKx)
(https://copy.com/sBmf4PKLFRdc)
https://copy.com/sBmf4PKLFRdc (https://copy.com/sBmf4PKLFRdc)

Zooms into the main ring from the last entry:

(https://copy.com/hiJEGFm401Ab)
https://copy.com/hiJEGFm401Ab (https://copy.com/hiJEGFm401Ab)
(https://copy.com/LNFdJu4CSx4G)
https://copy.com/LNFdJu4CSx4G (https://copy.com/LNFdJu4CSx4G)