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UF Formula

Sat Feb 17, 2007, 7:07 AM
This is the formula I've been using lately and have really enjoyed it. I'd be curious to see what others can do with it :)

All I did was add funtions to all terms of dmj.ufm(Nova (Mandelbrot)) and clear out some of the stuff I didn't understand :lol:

JABMOD {
; a modification of Nova (Mandelbrot) from dmj.ufm
;
init:
complex zsquared = (0,0)
complex zcubed = (0,0)
complex zold = (0,0)

z = @start

loop:
IF (@power == (3,0)); special optimized routine for power 3
zsquared = sqr(z)
zcubed = zsquared * z
zold = z
z = z - @relax * @func(zcubed-1) / @func2(3*zsquared) + @func3(#pixel)
ELSE
zold = z
z = z - @relax * @func(z^@power-1) / @func2(@power * z^(@power-1)) + @func3(#pixel)
ENDIF

bailout:
|z - zold| > @bailout

default:
title = "Nova (Mandelbrot) JABMOD"
maxiter = 10000
periodicity = 0
center = (-0.5,0)
magn = 1.5

param start
caption = "Start Value"
default = (2,0)
hint = "Starting value for each point. You can use this to \
'perturb' the fractal."
endparam
param power
caption = "Exponent"
default = (5,0)
hint = "Overall exponent for the equation. The value (3,0) gives \
the classic Nova Mandelbrot-type fractal."
endparam
param bailout
caption = "Bailout"
default = 0.000001
$IFDEF VER40
exponential = true
$ENDIF
hint = "Bailout value; smaller values will cause more \
iterations to be done for each point."
endparam
param relax
caption = "Relaxation"
default = (1,0)
hint = "This can be used to slow down the convergence of \
the formula."
endparam


}

If you use it I'd love to see the result! Please bring it to my attention!

Selections

Sun Feb 11, 2007, 9:42 AM
Some favorite selections from those who I have crossed paths with from time to time. (Well, at least I crossed their path since they are people I watch)

**Don't know if it is horrible ettiquette, but not really notifying anyone these are here since there are so many. But if you check any of them out perhaps you can mention where you saw it. Most of these people have no idea who I am however.









































































































































































































































































































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