FOTD -- September 06, 2002 (Rating 6) Fractal visionaries and enthusiasts: Before posting my FOTD's, I always check the attached parameter files to see that they work. Almost without exception the files run as they should. However, when posting the most recent FOTD, the one for Sep. 4, I neglected for some reason to check the parameter file before clicking the send button. This oversight gave Murphy's law the chance it needed to work its mischief. When I finally did check the file later in the day, I found that a backslash was missing from the end of a broken line, causing an error message to appear when the file was run. My apologies for any inconvenience. Today's attached parameter file most definitely will run. The image it will draw will take 7 minutes to complete, and hope- fully will be worth the time spent. The image that will appear lies in the fractal that results when -1.1 parts of Z are com- bined with -1.1 parts of Z^20 before adding C. This parent fractal is actually a classic Mandelbrot set caught in the act of morphing into the Z^20 Mandeloid. Today's scene lies in a curving valley at the mouth of a small bay on the east edge of the distorted M-set. I named the image "Quatrain", though I can't say why. A quatrain is a four-line stanza of a poem. Maybe I noticed the nearly square olive-green feature around the obligatory central midget. Regardless, it's a striking image, which looks as good from a distance as it does up close. Not wanting to appear boastful, I rated it a 6, which is above average, though not by much. The trip back out of the parent fractal is interesting also. Those with a little time to spare might wish to change the logmap to 0, the passes to G and make the journey at thumbnail size. As always, the completed GIF file of the image will soon be available on the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Thursday here at Fractal Central was perfect beyond description, so I won't try to describe the indescribable other than to say that the temperature of 83F 28C pleased the cats so much that their sour dispositions turned cheerful after a couple hours in the yard. As for me, I've got a couple hours of work ahead of me, and my disposition won't improve until the work is behind me. The solution . . . get the work started. Until next time on Sunday the 8th, take care, and double check your figures. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Quatrain { ; time=0:07:30.39--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+1.57055877097165100/+0.538927007893349\ 20/4.321429e+007/1/15/3.82882488214608685e-007 params=-1.1/20/-1.1/1/0/0 float=y maxiter=1500 inside=0 logmap=132 periodicity=10 colors=000nOEqPBtR8vS5uV9pZDlaHgdKcgOZjSVlVQiUMfTH\ dTDaS8ZR4XR4UPTMlKOrBPx9Mw7Iw5Fw3Bw18w05w02wtnSoiP\ jeNeaLaYIXTGSPENMBJO9EQ79S4AU2SYDQWCPUBNSAMQAKP9JN\ 8HL8GJ7EH6DG6BE5AC48A47835724522311100Pe0IV0CL06Aj\ KTdHPZFLTCINAEH7AB57523G09D07B06905603402201qLTRG7\ PF6`iWakWcgYedZfa_hZ`iWakTbmPdnMepJfqGgsDhtAi100q9\ fn9dk8bh8_e7Yb7W`6TY6RV5PS5NP4KM4IJ3GH3DE2BB298165\ 14202I3pG2kE2fD2aB1X91S81O61J40E309104ij7fg6de6ab5\ _`5XY5VW4TT4QR4OO3LM3JJ2GH2EE2CC1991771440220xttuq\ qroopllmjjjggheeebbb```YYYWWVTTTRRQOONMMLJJIHHFEED\ CCA99777544222n0Yk0Wi0Uf0Td0Ra0P_0OY0MV0LT0JQ0HO0G\ L0EJ0CH0BE09C08906704403201V5bT4`c4Zc4Xc4Vc3Tc3Re3\ Qg3Oi2Mi2Ki2Ii2Gi1Ei1Di1Bi19q07z05z03z01xR1zD0zKUz\ YZzZHhcNNhLMmKLrJKvIIzHHzGGzEFzDDzCCzBBzAAz98z87z6\ 6z55z43z32z21z12zX1zT1zP1zM1zI0zE0zB0z70z3xzjkz`_z\ SOzICz95zcEzTKzQQzNWzKbzH } 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==================================