Fractal of the Day
by Jim Muth
FOTD -- December 27, 1998
Fractal visionaries:
A cloudy cold day is great for fractal hunting. Since today was cloudy and the temperature was 28F -2C, I hunted fractals. Actually, I found today's unusual fractal a few days ago in the difference area around Z+C.
Z+C by itself produces nothing more than a circle, but when 100*(Z^1.001) is subtracted from 100*(Z^0.999), the difference multiplied by 2, and the formula calculated with a large escape radius, an interesting fractal appears.
Somewhere in this fractal I found the scene that became today's FOTD. I named the picture "Midget with Angles" because of the angular arms that surround the central midget. The angles on these arms are unusually acute, and result in an image refreshingly different.
As has so frequently been the case these last few weeks, I used the MandelbrotMix7 formula to create this image. The GIF file has been posted to:alt.binaries.pictures.fractalsand to:http://home.att.net/~Paul.N.Lee/FotD/FotD.html
Tomorrow is another day, and I will have another fractal at that time. Until then, take care, and may the fractal fairies be with you.
Jim Muth
jamth@mindspring.com
START FORMULA================================================
MandelbrotMix7 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f,
h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1,
l=imag(p3)+100, c=pixel:
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| <= l
}
END FORMULA==================================================
START PARAMETER FILE=========================================
Midget_with_Angles { ; 15min on a 486-100, 640x480
reset=1960 type=formula formulafile=critical.frm
formulaname=MandelbrotMix7 passes=1
center-mag=-8.21669/2.03185/18.16008/1/-77.5
params=100/0.999/-100/1.001/1/1000 float=y
maxiter=1200 bailout=25 inside=0 logmap=26
symmetry=xaxis periodicity=10
colors=000lO6lP7hO8dM9aKA<3>JDFECGBAH78I47J<32>mMqnMr\
pLs<5>mMymMzlNzlNz<36>ZRzWQz<7>eRzdTz<16>mDz<4>TLz<45>\
X3z<5>9Iz<21>iozjqzjrzitzguzgwzgyzfxzgxz<4>cwzbwzbwzb\
wz<6>buzbuzauz`uz<20>GqzFqzDrzfrzfrzarzfrzrszntz
}
END PARAMETER FILE===========================================
START 19.6 PARAMETER-FORMULA FILE============================
Midget_with_Angles { ; 15min on a 486-100, 640x480
reset=1960 type=formula formulafile=critical.frm
formulaname=MandelbrotMix7 passes=1
center-mag=-8.21669/2.03185/18.16008/1/-77.5
params=100/0.999/-100/1.001/1/1000 float=y
maxiter=1200 bailout=25 inside=0 logmap=26
symmetry=xaxis periodicity=10
colors=000lO6lP7hO8dM9aKA<3>JDFECGBAH78I47J<32>mMqnMr\
pLs<5>mMymMzlNzlNz<36>ZRzWQz<7>eRzdTz<16>mDz<4>TLz<45>\
X3z<5>9Iz<21>iozjqzjrzitzguzgwzgyzfxzgxz<4>cwzbwzbwzb\
wz<6>buzbuzauz`uz<20>GqzFqzDrzfrzfrzarzfrzrszntz
}
frm:MandelbrotMix7 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f,
h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1,
l=imag(p3)+100, c=pixel:
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| <= l
}
END 19.6 PARAMETER-FORMULA FILE==============================
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