A major update to Realtime Mandelbrot has been released.
There's now control over the iteration count and the fractional exponent.
Also, retina displays are finally supported (sorry for the long wait!) and the UI has been revamped.
The app-site at http://naivedesign.com/mandelbrot has been updated to reflect the changes.
You may want to see this page http://naivedesign.com/mandelbrot/Fractional_Exponent.html for some info on the fractional exponent slider. This slider varies the exponent in the classic Mandelbrot formula: z(n+1) = c + z(n)^exponent
The classic value is fixed to 2. Strictly speaking, other values do not produce the Mandelbrot set, but other (unnamed) fractals.
I confess I didn't know what visuals to expect when I implemented the fractional exponent. And I was (and still am) amazed by what happens.
Hoping you'll enjoy the update,