Delta

[Kali]

Delta



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=11937



Exponential smoothing coloring applied to the surface of a KIFS type 3D fractal, implemented on Fragmentarium.

[Dinkydau]

Amazing, congratulations!

[Syntopia]

Looks great, Kali. I've only tried this for 2D.

Which parameter do you smooth? The length? E.g. something like:

Code:

val = mix(val,length(z),strength)

[Kali]

Thanks Dinkydau & Syntopia

Which parameter do you smooth? The length?

I put this inside the iteration loop:

Code:

orbitTrap+=exp(-1/abs(length-prevlength+ColorOffset));

Then I scale the result by an adjusting factor (ColorOffset is also for adjusting the result), turn on CycleColors, and that's it...

[LhoghoNurbs]

Wow! Thousands of fossilized kisses!

[rollercoaster158]

Those blue rivers look so much like the Burning Ship fractal's towers, nice!

[Kali]

Thanks for the comments.

The burning ship is indeed a Kaleidoscopic IFS (KIFS), with the same transforms: folding (abs function), rotation & scale (squaring a complex number is equal to doubling the angles and squaring the vector length). If you use inside coloring like exponential smoothing on the burning ship, you can find this kind of patterns. See this topic, where I made this discovery: http://www.fractalforums.com/new-theories-and-research/very-simple-formula-for-fractal-patterns/msg31919/#msg31919