[Fractint] Funneled

22 Nov 2012

      I was experimenting with formulas to see what would happen when mixing
large exponents of z with trigonometric functions. The changes weren't
really that different from smaller exponents. I did notice a small area
that looked totally different than the rest of the fractal and I zoomed in
there to find this.

Here is a link to an image:

http://dl.dropbox.com/u/33642054/image/funneled_1200_5.jpg

The Fractint compatible PAR file for the image is:

Funneled { ; Exported from Fracton.
 reset=2004 type=formula formulafile=fracton.frm
 formulaname=F_20121122_0942 passes=1 float=y
 center-mag=-0.5347914944581987/9.38169058092517e-1\
 3/4938271666666.666/1/0/0
 params=-1/1/0/100/-1/0/1/0/0/0 maxiter=2000
 inside=0 logmap=20 periodicity=6
 colors=bbbcccdddeeefffggghhhiiijjjkkklllmmmnnnooop\
 ppqqqrrrssstttuuuvvvwwwxxxyyyzzzrrrsssqqqooommmkkk\
 iiigggeeecccaaa___YYYWWWUUUSSSQQQOOOMMMKKKIIIGGGEE\
 ECCEAAE88E66E44E22E00F00G00I00K00M00O00P00R00T00V0\
 0X00Z00`00b00c00e00g00i00k00m00o00q00r00t00v00x00z\
 01z13z25z37z39z4Bz5Dz6Fz7Hz8Jz9Lz9NzAPzBRzCTzDUzEW\
 zFYzF_zGazHczIezJgzKizLkzLmzMozNqzOszPuzOtyNsxNqwM\
 pvLntKmsKkrJjqIhpHgoHenGdmFbkEajE_iDZhCXgBWfBUeATd\
 9Rb8Qa8O`7N_6LZ5KY5IX4HW3FU2ET2CS1BR09P19Q3AR4BT6C\
 U7DW9EXAFZCG_DG`FHbGIcIJeJKfLLhMMiONkQPkSSlVUmXXn_\
 Zoaapdcqffrhhskktmmuppvrrwuuxwwyzzzzwxzsuzoszkpzgn\
 zckz_izWfzSdzOazK_zGXzCVz8Sz4Qz0Nw1Mt1Mp2Lm2Kj2Jh3\
 Ie4Hb4G_5GX5FU6ER6DP7DM8CJ8BG9AD99AA97A84B75D86FA7\
 IB8KD9ME000111222333444555666777888999AAABBBCCCDDD\
 EEEFFFGGGHHHIIIJJJKKKLLLMMMNNNOOOPPPQQQRRRSSSTTTUU\
 UVVVWWWXXXYYYZZZ___```aaa }

frm:F_20121122_0942 {
; Similar to the parallel resistance formula
a=real(p1),b=real(p2),d=imag(p1),f=imag(p2),
z=0,c1=pixel-p3,c2=pixel-p4:
z=1/(1/(a*z*(cos(z)-1)+c1)+1/(d*(z^f)+c2)),
|z|<100
}

-- 
Mike Frazier
www.fracton.org