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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Though today's image looks nothing at all like a typical scene in East Valley, it actually is an East Valley scene. Well, to be honest, it's not East Valley of the Mandelbrot set that the scene lies in, it's East Valley of the Z2.01+C Mandeloid. And to further confuse matters, the parent fractal has been rotated about 180 degrees by the MandelbrotBC3 formula, so that East Valley lies on the west side of the complex plane. As a result of the rotation, the negative X-axis split now intersects East Valley, and works no end of mischief with it. Instead of terminating in a point, the valley has broadened into a wedge, with totally new elements along the north and south corners of the wedge. Today's scene lies in some of this new stuff on the south side of the valley-wedge. I rated the image at a 7, even though I was a bit cursory with the coloring. Then I named it "Split in Infinity". The name implies that fractals are infinite, and the East Valley in today's parent fractal is all split up. The calculation time of 7-1/2 minutes is slightly slow. So why not get relief by viewing the finished image on the FOTD web site at: By the way, sometimes Paul cannot calculate and post the images immediately. If they are not there when you visit, try again a little later. Freezing rain fell all morning here at Fractal Central on Wednesday, while the temperature hovered just below freezing. Strangely enough, when the temperature rose 3 degreess above freezing in the afternoon, the rain changed to snow. The fractal cats amused themselves watching the passers by slipping and sliding on the icy sidewalks. My day was spent working. The next FOTD is due in 24 hours. If all goes well, it will appear on schedule. Until then, take care, and seek the right light. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Split_in_Infinity { ; time=0:07:33.03-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-0.252278582924513/-0.008434427532035/7\
.078046e+012/1/165/0 params=2.01/0/20.3/0 inside=0
float=y maxiter=5000 mathtolerance=0.05/1
colors=000c8Mc9McAMdBMdCLdDLdELeFLeGLeHLeIKfJKfKKf\
LKfMKfNKdMJcMJbLJaLJ`KJ_KIZJIYJIXIIWIIUHHTHHSGHRGH\
QFHPFGOEGNEGMDGLDGKDGMHKOLOQOSRSVTWZVZbXbfYfi_imam\
qbptcqqcqocrldrjdrhdsedscesaetZetXeuUfuSfuQfvNfvLg\
vJgwGgwEgwCMvE0vGCnDOfA_Z7jR5fO9cMC_KFXIIUGLQEONCR\
JAUG8XD6_F4`G3aI1bJ0brV1pZHobXnekoelofmofnneomeome\
oldokdokdpjdpjcpicphcphbqgbqfbqfbqeaqeardarc`rc`rb\
`rb`raYo`Vl_Si_PgZMdYJaYH_XGYXGWXGUXGSWFQWFOWFMWFK\
WFIVEGVEEVECVEAVE9UJAUOAUTAUYAUbAUgAUkAViCWgEWfFXd\
HXbIYaKY_LZYNZXO_VQ_UR`ST`QUaPWaNXbLZbK_cIacHbcIbd\
KbdLbeMbeNbfPbfQbfRbgSbgUbhVbhWbhXbfZdd`ebaf`cgZeh\
XfiVhjTjkSkl4ca5rWIkaVdfgYksSppTmmTkjUigUgdVebVcYW\
aTX`PX_KYYGYXBZW7ZV8XU8VU8UT9ST9QS9PS9NSALRAKRAIQB\
GQBFPBDPBBPCAOC8OC6ND5ND3MD1MD0MDI6HL7KO7OR8RT8UW8\
YZ9``9cc9gfAjiAmkAqnBtqBwsBuoLtkUsgcrdlp`ioYgmVdlR\
bjO`iLYgIWfEUdBRc8Pb5Nc7M }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END PARAMETER FILE=========================================
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times.
