|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries: Every once in a while there comes a fractal picture that fairly shouts its name. Today's image is one of those. Despite the abysmal initial coloring, the moment I saw the image, with its stylized figure standing on a mountain top, showering blessings, I knew it could be named nothing but "prophet". It took only a carefully selected palette to bring the prophet to life. The formula is one of my failed attempts to rotate the Julibrot from the XY to the XZ plane. But though the formula doesn't give me exactly what I was after, it does draw some very interesting images, which have earned it a place in my permanent formula file. Probably half the formulas in my collection were failures when I first tried them. But success can sometimes come from failure, and unless a formula draws nothing but a blank screen, I almost never give up on it until I have tried a wide variety of parameters. My current effort to draw all the oblique and skew planes in the julibrot figure is producing an unusually rich variety of formulas and images. For tomorrow's fractal, I'm going to wing it. Maybe I'll post another of my lucky accident fractals; maybe one of my older gems. But whatever it turns out to be, it will be interesting. Today's image has been solemnly posted to a.b.p.f. and a.f.p. for the convenience of those who can't tie up their machines. Jim Muth jamth@mindspring.com |
START FORMULA======================================================
ManTest1XY-XZ {
z=real(pixel)+(p1*(imag(pixel)))+flip(real(p2)),
c=imag(pixel)+(p1*(real(pixel)))+flip(imag(p2)):
z=z^p3+c,
|z| <= 16
}
END FORMULA========================================================
START PARAMETER FILE===============================================
prophet { ; 2 minutes at 100mhz, 640x480
reset=1960 type=formula formulafile=jim.frm
formulaname=ManTest1XY-XZ passes=1 center-mag=0/-0.626148/0.3778966
params=0/0.5/0.5/0/-2/0 float=y maxiter=1000 bailout=100
inside=bof60 logmap=yes symmetry=yaxis periodicity=10
colors=000000_JBFBDFFEGLGIQH<10>ZaY`bZcc`<7>zklzml<7>zjmzimyimxim<4>sgnr\
gnpfnnfn<4>ddncdncco<4>ZboZaoYaoYaoX`o<13>QWpPWpOXp<65>_Np_NpZMp<20>SCmS\
BmSAmR9mR7m<2>Q1mQ0mP0m<11>L0mL0mK0kL0mK0kJ0l<5>D0fC0eB0cA0a<4>00XTEZbG_\
<4>bI`<5>LEfIDgGCf<20>DQmDRmBNr<8>Ka_
}
END PARAMETER FILE=================================================
START COMBINED FILE FOR 19.6=======================================
prophet { ; 2 minutes at 100mhz, 640x480
reset=1960 type=formula formulafile=jim.frm
formulaname=ManTest1XY-XZ passes=1 center-mag=0/-0.626148/0.3778966
params=0/0.5/0.5/0/-2/0 float=y maxiter=1000 bailout=100
inside=bof60 logmap=yes symmetry=yaxis periodicity=10
colors=000000_JBFBDFFEGLGIQH<10>ZaY`bZcc`<7>zklzml<7>zjmzimyimxim<4>sgnr\
gnpfnnfn<4>ddncdncco<4>ZboZaoYaoYaoX`o<13>QWpPWpOXp<65>_Np_NpZMp<20>SCmS\
BmSAmR9mR7m<2>Q1mQ0mP0m<11>L0mL0mK0kL0mK0kJ0l<5>D0fC0eB0cA0a<4>00XTEZbG_\
<4>bI`<5>LEfIDgGCf<20>DQmDRmBNr<8>Ka_
}
frm:ManTest1XY-XZ {
z=real(pixel)+(p1*(imag(pixel)))+flip(real(p2)),
c=imag(pixel)+(p1*(real(pixel)))+flip(imag(p2)):
z=z^p3+c,
|z| <= 16
}
END COMBINED FILE==================================================
|
times.
