Fractal of the Day
by Jim Muth
FOTD -- December 16, 1998
Fractal visionaries:
Did you ever get the feeling that you were being watched? Well, I have news. It wasn't just a feeling; there are fractal eyes watching you. But before getting to the eyes, let's get the weather report over and done with.
It was a perfect day here in Fractal Land. Brilliant sun all day, and a temperature of 50F 10C made it an ideal day for a fractal hunt. Never one to let an opportunity pass, I hunted.
The formula I turned to is a new one named MandelPMnew. This formula takes an exponent and applies it to both (-Z) and (+Z), which are added together before adding C. Imag(p1) determines the exponent; real(p1) determines the size of the fractal. The exponent I used in today's FOTD is 0.7.
The fractal first appears as a rough circle open on the left side. Today's picture is part of a valley that appears inside that open area when the inside fill is set to bof60. The staring eyes effect is so obvious that I had but little choice when I named the picture "The Eyes Have It".
The GIF file is available at:alt.binaries.pictures.fractalsand at:http://home.att.net/~Paul.N.Lee/FotD/FotD.html
Another fractal is coming tomorrow, so be sure to check in. And who knows, I might even slip into some way-out philosophy. Until next time, take care, and may the forces of righteousness overcome the forces of evil.
Jim Muth
jamth@mindspring.com
START FORMULA================================================
MandelbrotMiN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=(-z)^(b)+c,
|z| <= 16
}
END FORMULA==================================================
START PARAMETER FILE=========================================
Euclidean_Geometry {; 3 long hours -- pick-up from net
reset=1960 type=formula formulafile=slices.frm
formulaname=MandelbrotMiN passes=t
center-mag=2.83347/0.170723/2.400168/1/90
params=1.09/0/1.64/0/0/0 float=y maxiter=32000
bailout=25 inside=0 logmap=29 symmetry=none
periodicity=10 colors=0000nz0pz0lw0it0fs0bq0_n0Yl0Vk0\
Ri0Of<2>0Ga0D_09X06V02T01R00O<2>00J00E00I00J00L20O60Q\
90RE0TI0XL0YQ1_T2aX4da6fd8gi6kg8ig8gg9fg9dgBbgBagD_gD\
YgEXgEVgGTgGRgIQgIOgJNgJLgLJgLIgNGgNEgODgOBgQ9gQ8gR6g\
R4gT2gT1iX2iY2i_2ia2kd4kf4kg4ki4ll6<2>lq6lsBlsBls6bs1\
Os04s08t09t0Bw1Dw4Ex6Gx9IzDLzG<2>QzORzRTzVVzXXz__zbaz\
f<2>fzngzmizUlzUkzUkzUkzQkw9st0ns0ks0gq0bq0_q0Xp0Tp0O\
p0Ln0In0En0Ik0Ji0Lf0Nd0Qa2R_6TX8<2>_QIaOLbLOdJRgGTiEX\
kB_l9bn8fq4is2lt0nw0qz0tz0xz0z<5>z0zz0zz2zz6z<6>zOzzQ\
zzTxzVxzYxzaxzbwzfwzgwzkwzltzptzstzttzxszzszzszzizznz\
zsqzxizzazzJzz2zs0zn4zLJz0<3>Qz1Rz4Tz9VzDVzGXzJYzN_zQ\
azVbzYdzafzdfzggzkizp<2>nzzpzztzzqzzpzzlzzkzzgzzfzzbz\
zazzYzzXzzTzzRzzOzzNzzJzzIzzEzzDzzDzzBzz<11>Bzz4zz<3>\
Izz0zz0zz0zz
}
END PARAMETER FILE===========================================
START 19.6 PARAMETER-FORMULA FILE============================
Euclidean_Geometry {; 3 long hours -- pick-up from net
reset=1960 type=formula formulafile=slices.frm
formulaname=MandelbrotMiN passes=t
center-mag=2.83347/0.170723/2.400168/1/90
params=1.09/0/1.64/0/0/0 float=y maxiter=32000
bailout=25 inside=0 logmap=29 symmetry=none
periodicity=10 colors=0000nz0pz0lw0it0fs0bq0_n0Yl0Vk0\
Ri0Of<2>0Ga0D_09X06V02T01R00O<2>00J00E00I00J00L20O60Q\
90RE0TI0XL0YQ1_T2aX4da6fd8gi6kg8ig8gg9fg9dgBbgBagD_gD\
YgEXgEVgGTgGRgIQgIOgJNgJLgLJgLIgNGgNEgODgOBgQ9gQ8gR6g\
R4gT2gT1iX2iY2i_2ia2kd4kf4kg4ki4ll6<2>lq6lsBlsBls6bs1\
Os04s08t09t0Bw1Dw4Ex6Gx9IzDLzG<2>QzORzRTzVVzXXz__zbaz\
f<2>fzngzmizUlzUkzUkzUkzQkw9st0ns0ks0gq0bq0_q0Xp0Tp0O\
p0Ln0In0En0Ik0Ji0Lf0Nd0Qa2R_6TX8<2>_QIaOLbLOdJRgGTiEX\
kB_l9bn8fq4is2lt0nw0qz0tz0xz0z<5>z0zz0zz2zz6z<6>zOzzQ\
zzTxzVxzYxzaxzbwzfwzgwzkwzltzptzstzttzxszzszzszzizznz\
zsqzxizzazzJzz2zs0zn4zLJz0<3>Qz1Rz4Tz9VzDVzGXzJYzN_zQ\
azVbzYdzafzdfzggzkizp<2>nzzpzztzzqzzpzzlzzkzzgzzfzzbz\
zazzYzzXzzTzzRzzOzzNzzJzzIzzEzzDzzDzzBzz<11>Bzz4zz<3>\
Izz0zz0zz0zz
}
frm:MandelbrotMiN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=(-z)^(b)+c,
|z| <= 16
}
END 19.6 PARAMETER-FORMULA FILE==============================
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