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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: In yesterday's fractal I colored the outside with the <real> option. In today's image I color the inside with the <epsiloncross> option. This option assigns colors to trapped points if they come within a certain 'proximity' distance of the X or Y axes. As far as I can remember, this is the first time I have used this option in an FOTD image. In today's image, the option creates the dark parabolic shapes in the foreground. The brilliantly colored arms consist of normal outside material. The parent fractal, which is created by combining portions of Z^(-1.85) and Z^(-5.5), was found with Fractint's evolver feature. It consists of an indescribable mass of various shaped bays surrounded by equally indescribable outside material. A ring of non-critical debris lies off the screen in the far distant southeast suburbs, but this ring does not figure in today's image, which is located in a valley at the tip of a filament extending from a bud in a small critical area at the northern end of the main body of bays. After studying today's image a few minutes, I was reminded of the solar corona. The name "Solar Wind" soon followed. The problem of rating the image was to decide between a 6 or a 7. In the end, I decided to flatter myself with a rating of 7. The render time of 11 minutes can be avoided by downloading the completed image from one of the FOTD web sites. Paul's site is at: Monday morning brought heavy thunder-storms to F.C., but the rain ended by noon, leading to a warm breezy afternoon that, by 3:30pm, dried the grass just enough for the dynamic duo to have a brief romp in the yard. The temperature of 70F 21C made up for any left-over dampness. This morning is once again starting rainy. It remains to be seen how well the fractal duo will handle the fresh dampness. As for me, I've got some work to handle. And the best way to handle the work is to do it. When the work is behind me, I'll start the search for tomorrow's fractal. Until next FOTD, take care, and bomb the enemy with fractals -- they are a lot less damaging. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Solar_Wind { ; time=0:11:11.63--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.88504964147477720/-0.010818060826707\
56/2895828/1/70/1.64751498554771558e-009 params=6.\
78/-1.85/6.035/-5.5/0/0 float=y maxiter=1200
inside=epsiloncross proximity=0.006 logmap=140
periodicity=10
colors=0000008UcAVdDWeGZgI_hK`jNclPdkR`gUVjWUj`UY`\
UU`UQ`UU`UY`W`YadVfgRlkOqoNsqLvr0zp2zm5yk7wh9ugCre\
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0Gr0Du0Ax08w09w0Av0Cv0Du0Eu0Eu0Gs0Hs1Ir1Jr2Jr2Kq3L\
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3WW1UY5TY7QYAPYDNZGLZJJZLIZPHZRE_UD_YA__9_c7`e6`g3\
`k2`m1`p3al5cj6df7ed8ea9fZCgWDhTEjQGjOHkKIlIJmELoC\
No9Op6Pq3Qr0Rs0Ts0Ul7UeJVZV_6Gc6Ge6Gc8I`9JZCLYDNVE\
OTHQQIRPJTNLVKNWJOYDLVER` }
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 20.0 PAR-FORMULA FILE==================================
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