Fractal of the Day
by Jim Muth
FOTD -- December 24, 1998
Fractal visionaries:
Today was perfect here at fractal central. The morning temperature of 17F -8C was followed by a cloudy afternoon, with snow beginning at 4:30pm -- absolutely perfect for nine reindeer and a sleigh full of toys.
The fractal hunting went equally as perfectly. I went once again to the MandelbrotMix7 formula and examined the difference around Z^5. The scene I found reminds me of a stand of ice-encrusted trees such as one might find near the tree line on a mountain side after a spell of inclement weather. I naturally named it "Line of Fractal Trees".
The ice-covered branches form the outline of part of a Mandeloid, with several quite obvious buds. The exploring in these buds looks interesting, though I haven't yet looked there.
The GIF file of the finished image has been posted to:alt.binaries.pictures.fractalsand to Paul Lee's web site at:http://home.att.net/~Paul.N.Lee/FotD/FotD.html
Now I hear the tinkle of tiny sleigh bells in the distance. I guess it's time to close the fractal shop and give the elves a chance to come out from hiding. Until next time, take care, and don't fall prey to that last minute panic.
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=========================================
LineOfFractalTrees { ; 33min on a 486-100mhz, 640x480
reset=1960 type=formula formulafile=critical.frm
formulaname=MandelbrotMix7 passes=1
center-mag=0.419405/-0.958246/4.219409/1/47.499
params=1/0.5/-1/0.5001/11000/0 float=y maxiter=540
bailout=25 inside=253 logmap=19 symmetry=xaxis
periodicity=10 colors=000G92GF7G83GB4GA3<28>W_O<10>6Z\
h4ZgM_bP`VRaO<4>MgdMhgKfc<8>8R94O5<18>rrOutPyvN<21>Iq\
z<14>wlH<14>uqruqtvrxuqvtptsor<5>yufzvdzwbzx`zyZ<3>zz\
Rzz4zzPzzr<4>zzXzzI<4>zzg<2>zzFzzJzz4<15>zzTzzezzs\
<27>zzGzzFzzF<12>zzCzzCzzA<10>zzTzzBcFhzzfzza
}
END PARAMETER FILE===========================================
START 19.6 PARAMETER-FORMULA FILE============================
LineOfFractalTrees { ; 33min on a 486-100mhz, 640x480
reset=1960 type=formula formulafile=jim.frm
formulaname=MandelbrotMix7 passes=1
center-mag=0.419405/-0.958246/4.219409/1/47.499
params=1/0.5/-1/0.5001/11000/0 float=y maxiter=540
bailout=25 inside=253 logmap=19 symmetry=xaxis
periodicity=10 colors=000G92GF7G83GB4GA3<28>W_O<10>6Z\
h4ZgM_bP`VRaO<4>MgdMhgKfc<8>8R94O5<18>rrOutPyvN<21>Iq\
z<14>wlH<14>uqruqtvrxuqvtptsor<5>yufzvdzwbzx`zyZ<3>zz\
Rzz4zzPzzr<4>zzXzzI<4>zzg<2>zzFzzJzz4<15>zzTzzezzs\
<27>zzGzzFzzF<12>zzCzzCzzA<10>zzTzzBcFhzzfzza
}
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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