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element90 — In a Cubic 1
Published: 2012-04-01 14:11:59 +0000 UTC; Views: 304; Favourites: 12; Downloads: 0
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Description
The common Mandelbrot shape turning up in a fractal using a cubic formula. 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 = 2 + 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: -0.699835853569357349 + 0i
Image width: 0.0004040279094984704
Rotation about image centre: 270 degrees
Maximum iterations: 5000
Bailout: norm(z) > 160
Colour selection: outer for bailout otherwise inner
Outer colouring: continuous potential
Inner colouring: fixed colour
Related content
Comments: 2
I guess this set is not connected ? Nice image anyway 
👍: 0 ⏩: 1
I've just checked, you are correct the set is not connected. I've lots of these Mandelbrot island appearing in disconnected sets with a large variety of formulae.
👍: 0 ⏩: 0