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Fractal of the Day
by Jim Muth
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Fractal visionaries: It was a bright and sunny day here at the Fractal Place -- unusually warm for winter, but pleasant nonetheless. The temperature of 64F 18C was perfect for hunting fractals, and as you might expect, I hunted. Yesterday's FOTD was a bit disappointing, so I decided to post an extra impressive fractal as today's FOTD. The workhorse MandelbrotMix4 formula once again did its job when I needed it, turning up today's lotus-like picture after only 15 minutes of searching. The scene I stumbled upon resembles an unfolding lotus blossom, so I named it "A Little Lotus". The parameter file runs slow, but as always, the GIF file of the image has been posted with data hopefully intact, (it isn't always so), to: I did give the image an enhancement in Photoshop to liven the colors a bit, but the changes were so small that I can still consider the picture a pure one. Now, I must make a confession. I hate to disappoint my philosophy lovers, but I've got no words of wisdom today. I've been irritable all day from a job that went sour, and it's hard to philosophize when you're in a bad mood. Tomorrow is another day, however, and it will bring another fractal. It might even bring some babble, so check then to see. Until next time, take care, and don't stare too long at any one fractal. They do strange things if they're stared at too intensely for too long a time. Jim Muth jamth@mindspring.com |
START FORMULA================================================
MandelbrotMix4 {; 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=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}
END FORMULA==================================================
START PARAMETER FILE=========================================
A_Little_Lotus { ; 2hrs on a 486-100mhz, 640x480
reset=1960 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-1.43928832160053900/+0.04139571017709617\
/1.414159e+010 params=100/0.9/101/-1.1/-0.985/100
float=y maxiter=12000 bailout=25
inside=0 logmap=361 symmetry=xaxis periodicity=12
colors=000eU5eU3dU1cU2bU0<5>XU0WU0UU0SU0TU0SU0RU0SU0\
TU0SU0UU0TV0TV0VV0UW0UW0VW0VW0UX0WX0VX0VV0XV1XU1XT1Y\
T3YS3YQ3`R3<3>aO6aN6cN6cM6cL8dL9dK9dJAgKAgIAgHAhIChH\
ChGCjHFjGFjFFlFAjFFhEGgEJgELdEPcBQcBU<2>ZBa`Cg`Bj`Co\
aDs`Dy`EzaFzbGzcIzdKzfLzgMyhOwiPujRukSslUqlVonXonYno\
`nqbnqbno`ln_klYjlYjjWhhVghUggUgdRddRddPdcPdaNcaNc`M\
cZMcZKcYKaWIaWIaWGaUG`SF`SF`RD`ODYNBYLBXJ9WI9VHQl6iz\
6hu6bq7Zn6Yj6Vg6Tc6P`5OX7PY7QY9R`9S`BTaBVaDWcDXcGYdG\
_dI`gIagJahJbhLcjLdjNelNflPgnPhnRioRjoUjqUlqVmqWnsXo\
sYouZquZqwarwasyctycuzdwzewzgyzgyzizzizzlzzlzznzznzz\
pzzpzzrzzrzzrzztzzvzzwzzzzz<68>zzz
}
END PARAMETER FILE===========================================
START 19.6 PARAMETER-FORMULA FILE============================
A_Little_Lotus { ; 2hrs on a 486-100mhz, 640x480
reset=1960 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-1.43928832160053900/+0.04139571017709617\
/1.414159e+010 params=100/0.9/101/-1.1/-0.985/100
float=y maxiter=12000 bailout=25
inside=0 logmap=361 symmetry=xaxis periodicity=12
colors=000eU5eU3dU1cU2bU0<5>XU0WU0UU0SU0TU0SU0RU0SU0\
TU0SU0UU0TV0TV0VV0UW0UW0VW0VW0UX0WX0VX0VV0XV1XU1XT1Y\
T3YS3YQ3`R3<3>aO6aN6cN6cM6cL8dL9dK9dJAgKAgIAgHAhIChH\
ChGCjHFjGFjFFlFAjFFhEGgEJgELdEPcBQcBU<2>ZBa`Cg`Bj`Co\
aDs`Dy`EzaFzbGzcIzdKzfLzgMyhOwiPujRukSslUqlVonXonYno\
`nqbnqbno`ln_klYjlYjjWhhVghUggUgdRddRddPdcPdaNcaNc`M\
cZMcZKcYKaWIaWIaWGaUG`SF`SF`RD`ODYNBYLBXJ9WI9VHQl6iz\
6hu6bq7Zn6Yj6Vg6Tc6P`5OX7PY7QY9R`9S`BTaBVaDWcDXcGYdG\
_dI`gIagJahJbhLcjLdjNelNflPgnPhnRioRjoUjqUlqVmqWnsXo\
sYouZquZqwarwasyctycuzdwzewzgyzgyzizzizzlzzlzznzznzz\
pzzpzzrzzrzzrzztzzvzzwzzzzz<68>zzz
}
frm:MandelbrotMix4 {; 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=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}
END 19.6 PARAMETER-FORMULA FILE==============================
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times.
