The exponent was 10, because Flutterhy’s name contains 10 characters.
Supersampling Antialiasing (SSAA) was set to 10×10 pixels and Finesteps at 50.
The core colour is moderate cyan, the colour of her eyes and the centre part of the butterflies.
While the other two colours are her coat and mane/tail hair of course.
I tried to find some region that hasn’t too much of the core colour left and then thought those three blops might remind of her cutie mark, three butterflies - or spiders, if you will, she cares about all animals after all.
Computing the final picture took only 5 minutes and 50 seconds as I didn’t zoom in too much.
I’m sure it could be done better, although, I like it being so calm which fits the character. Maybe someone gets inspired by this and does a better job.
It looks like the software’s page is still up and it is German, use the links at your own risk:
Home page: http://www.fractalizer.de/
Direct download: http://www.fractalizer.de/fract_v2.exe
My other pony fractals
• Fluttershy (you are here)
Correct number of legs.
It’s definitely spoders.
No Fluttershy virus.