HOME | DD
element90 — In a Cubic 4
Published: 2012-04-02 15:47:53 +0000 UTC; Views: 247; Favourites: 6; Downloads: 0
Redirect to original
Description
A Mandelbrot shape disconnected from its peers. Around the Mandelbrot there are lots of hollow dots inside each of those dots is an image very much like this one, zooming out this would take on the appearance of one of those dots, I don't know this for sure I believe it is true and there may be possible to prove but my mathematics is not up to it. Produced using Saturn & Titan version 2.0 which can be downloaded from Element90 Fractals download page .Titan Version 2.0
Parameters
Formula: Cubic
z = transform(z)
z = alpha*z^3 + beta*z^2 + gamma*z + c
alpha = -1.6 + 0i
beta = -10 + 0i
gamma = 0 + 0i
Programs: saturn and titan
Number of A transforms: 0
Number of B transforms: 0
Transform sequence: A
Number of Complex Plane transforms: 0
Initial values of z: transformed c
Image centre: 0.178162229460699729 - 0.0177481687509569541i
Image width: 1.3e-10
Rotation about image centre: 0 degrees
Maximum iterations: 5000
Bailout: norm(z) > 160
Colour selection: outer for bailout otherwise inner
Outer colouring: continuous potential
Inner colouring: fixed colour
