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Fractal of the Day
by Jim Muth
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Fractal Visionaries and Enthusiasts: The big rush is in full swing, but I still found a few minutes for a trip to East Valley to see the elephants as they have never been seen before. We are actually viewing the pachyderms from the Oblate direction, which is the plane determined by the imag(c) and real(z) axes of the Julibrot. I named this orientation Oblate because when the Julibrot is sliced through its origin in this direction, an oblate open area appears. In this particular orientation, the elephants are not just sitting there, guarding their buds. They are running as though fleeing a brush fire. As they near the right edge of the image, they scrunch themselves up and dive down out of sight, eventually losing all resemblance to elephants and curving around to become part of the goofy eyes of the Julia sets of East Valley. The straight line across the image around the elephants' feet is what I call a bridge. These straight-edged features never appear in Mandelbrot or Julia sets, but they are quite common in the sets of the four odd planes of the Julibrot. I have no time right now to explain why they are so straight, but I will do so when the rush subsides. I named the image "Elephant Run" because I imagined I saw running elephants in it. I rated it at a 5 because I put so little effort into it. As for the fractal cats, they are doing fine, though wondering why they are getting so little attention. If the work keeps moving, the next FOTD will appear in 24 hours. If not, look for it on the following day. Until whenever, take care, and even thinking about the fourth dimension can be hazardous to your health. Jim Muth |
START PARAMETER FILE====================================
Elephant_Run { ; time=0:06:22.01--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=multirot-XY-ZW-new function=ident/flip
passes=t center-mag=+0.37097269855928490/-0.003112\
53640045051/584.8368/0.01431 params=0/90/2/0/0/0\
/0.2615/0 float=y maxiter=50000 bailout=10
inside=0 logmap=yes periodicity=10
colors=000P`KObKNeJMgJLjIKlIJnIIqHHsHGuHFqLEmPEiSD\
eWCaZCAbBAfABiACm9Dp8Et8FwAGsBJpDMmEPjGSgHWdJZaKaZ\
MdVNgSPkPQnMSqJTtGVwDWzAUw9St9Rr9Po8Nl8Mj8Kg7Id7Hb\
7F_6DX6CV6AS58P57N55K43H42F47J9CNDGRHLVLQZPUbTZfYc\
jagnelriqvmuzqeriQkaBdUZ1tY4uX7uWAuWCvVFvUIvTLvTNw\
SQwRTwRVwQUtQTrQSoQRmQQjQQhQPfQOcPNaPMZPLXPLVPKSPJ\
QPINPHLOGIOGGOFEOEBOD9OC6OB4OB2aVUaVWbWYbWZbW`cWbc\
WdcWedXgdXidXjeXleXneXoZUiSScLQYFOTHPUJQVKRWMSXOTY\
PUYRVZTW_UX`WYaYZbZ_b``cbadcbeecffcfeage`he_heZidX\
idWjdVkdUkcSlcRlcQmcPnbNnbMobLobKpbJpZzzVzzRzzNzzK\
zzGzzCzz8zz4zz1zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zzFzz\
CzzPzzRzzTzzUzzPzzLzzHzzDzzXzz`zzdzzhzzlzzpzztzzqz\
znzzkzzhzzezzczz`zzYzzVzzSzzQzzNzhKziHzjEzkCzlFzkI\
zjLziOziQzhTzgWzgZzfazeczdfzdizclzbnzbjz_fzXbzU_zR\
WzOSzLPzISzGVzFYzE_zDbzCezBgzAdzCczEZzGXzIUzKRzMPz\
NMzPJzRHzTEzVBzX9zYpzNfzT }
frm:multirot-XY-ZW-new {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4:
z=z^(p2)+c,
|z| <= 36 }
END PARAMETER FILE======================================
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times.
