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Here's a fairly simple formula I wrote in FractInt.

It doesn't use a radius bailout, but simply iterates 50 times, and uses the outside colouring option tdis, which is the total distance the point travels. I'm not sure exactly how this works, but I would hope it would be fairly trivial to implement in Fractal eXtreme.  This might push panzerboy's expertise a bit.  I hope he can pull it off.  I would have a go myself, but I can't compile the plugins in 64-bit mode. I might have a go myself!


Here's an example of the initial image it creates:



Here's the bit where I grovel... I am happy to wait until after the competition as I expect you are quite busy.

Many thanks,

Simon

Okay that looks simpler than my thinking.

With complex addition or subtraction, the reals add with the reals and imaginaries adds with imaginaries.

Oops maybe I've talked too soon.
distance is defined as real (floating point?), z and prevZ are complex.
There must be a conversion from the 2 number complex into a single number real.
Usually that means taking the square root of (real squared + imaginary squared).

A bit of reseach suggests that conversion from complex to real only takes the real component of the cpmplex number and ignores the imaginary.
http://www.chaospro.de/documentation/html/formulacompiler/languagereference/datatypes/real.htm

Phew!
That'll make things easier, no need to keep the previous imaginary values and most importanly no need to create a square root code for high precision.