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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's FOTD continues my current spate of tree-like images. The scene in today's picture exists in the Julibrot of the formula Z^1.5+C, at an orientation of within one degree of the Julia direction. Rotating the view this small distance from the true Julia direction has a great effect on the appearance of the tree, which has morphed from its symmetrical Julia shape into a pattern of overlapping geometrical shapes that must be seen to be believed. The coloring of this FOTD got totally out of control. I had intended a serene greyish-blue palette that emphasized the 3-D effect, but when the colors that appear in today's image flashed by, I just couldn't let them go. So today's picture appears with its gaudy over-saturated color palette. The too-intense colors dropped the picture's rating from a 7 to a 6, which is still a little above average, but nowhere near what it could have been if I had shown a little more self-control. I named the picture "A New Tree" because it's an image of a tree a bit too stylized for easy recognition. The parameter file is slow, taking 13 minutes to render on a Pentium 200mhz machine. The download is fast, taking only one minute on a 56K modem. That download may be found at: The fractal weather today was once again perfect, with partly cloudy skies and a temperature of 74F (23C), which made the fractal cats happy. The perfect conditions left me with no excuse for not trimming the lawn, so I spent 90 minutes this afternoon cutting grass. While cutting, I pondered a few of life's mysteries, none of the thoughts being worth repeating. So that brings us to the end. Until next time, take care, and take one fractal at bedtime for pleasant dreams. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_New_Tree { ; time=0:12:53.96 -- SF5 on a p200
; Version 2000 Patchlevel 14
reset=2000 type=formula formulafile=multirot.frm
formulaname=multirot-XY-ZW-new function=ident/flip
passes=t center-mag=0.00173908/0.00819013/6.296661/0\
.9405/22.5 params=89.77/90.53/1.5/0/0.2392/0.4909/-0\
.188/0 float=y maxiter=6000 inside=253 logmap=11
periodicity=10
colors=0000H0<3>0I00I00K00K00K00K00M00M00M00M00O00O0\
0O00O00Q0<3>0Q00T00T00T00T00V00V00V00V00X0<3>0Y00Y00\
Y00Y00_0<2>0V00T00T0<3>0K00K0<2>0F00D00D00B009007007\
0050230220300500700700900B00D00D00F00H00H00I00K00K00\
M00O00O00Q00U00W00X20Y30Z50_50`70a90bB0cB0dD0eF0fH0g\
H0hJ0iK0kL0mN0nP0nR0<2>rV0tX0tY0v_0x_0xa0zd0ze0ze0zg\
0zi0zl0zl0zn0zo0zq0zq0zt2zv2zx2zx3zz3zz3zz5zz5zz5zz7\
zz7zz7zzFztMznTze_<2>zMvzFzz9zz2zz0zz0zz0zx0xv0tn2ng\
3ge5df5eg7gh9ilBnpBouDqxFtyHxzHxzIxzKzzMxzMvzOtzQtzT\
qxToxVnvXnvXlvYit_itagqaeqddoedogaog_ni_nlYlnXlnVioV\
iqTitQgtOgvOexMezKdzKdzIdzHazFazF_zD_zBazD_zB<3>_zB_\
zBYz9<2>Yt9Yq9Yq9Yo9Xn7Xl7Xi7Xg7Xg7Xe7Vd5<2>VY5VY5VX\
5VV5TT3TQ3VO3XO3YM3_K3aI2dH2eF2gF2gD2gB2g92g70g90gB0\
gB0gB0gB0gD0gD0gD0gD0gF0gF0gF0gF0gH0gH0gH000YgH0gH0
}
frm:multirot-XY-ZW-new {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4:
z=z^(p2)+c,
|z| <= 36 }
END 20.0 PAR-FORMULA FILE==================================
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times.
