FOTD -- June 23, 2003 (Rating 7) Fractal visionaries and enthusiasts: To start the day, I downloaded the usual hundred or so junk e-mails. Before deleting them, and being certain I was off- line, I checked the content of one e-mail, which had an unusually clever subject line about an old friend who had just found me. Not surprisingly, the letter was not from an old friend, but from one of those questionable on-line pharmacies with doctors who prescribe prescription drugs without an examina- tion. It would have been just another unwanted piece of junk had it not been for the line that read, "if you act now, your order can be shipped by January". No wonder only one recipient in ten-thousand replies to such letters. Fractals are far more reasonable. Today's image has been created by an entirely different formula than yesterday's, but the same brush-like shape is there. Whereas I decided that yesterday's image rated a 6 and then lowered it to a 5 at the last minute, today's image rates a firm 7. I named the image "More of the Brush" in recognition of the fact that its basic shape closely resemble the brush shape of yesterday's image. The formula behind today's image is Z^10-Z^9+C. This formula produces a parent fractal that is little more than an circle with broken bays around its perimeter. It displays critical characteristics only in the area of its 'East Valley', which is where today's scene is located. The outside parts of today's image were rendered by the 'fmod' option, which in this case does a better job than the standard equal-iteration-bands method. The brilliant turquoise color of the inside of the central midget is a departure from my standard dead black inside color, used today because it works well. The 5-minute render time is within reason, but the 1-minute-or- less download time is even more reasonable. The GIF image can be found, ready for download at either one of the two FOTD web sites: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The clouds hung around most of Sunday at Fractal Central while we were away on the shopping trip. When we returned at 6pm, the sun was trying to break through, the temperature was 79F 26C, and the cats were ready to romp. They enjoyed the yard for over two hours before hunger brought them inside to eat. Today is sunny and warmer -- the kind of weather fractal cats approve of. I've got a bit of work to do before I re-enter the world of fractals, and the sooner I get started, the sooner I'll finish. So until next FOTD, take care, and don't lose the faith. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ More_of_the_Brush { ; time=0:05:24.29--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=ident passes=1 center-mag=+1.00172680834191900/-0.000089662866518\ 10/8255452/1/-147.5/1.85261191e-007 params=1/10/-1\ /9/0/0/0/0 float=y maxiter=850 inside=255 proximity=0.7 outside=fmod logmap=yes periodicity=10 colors=000zzwyztxzqwznuzkszhqzhozhmzhkzhizhgzieyic\ xiawi_viZuiYtiXsiWrjVqiUpiTohSnhRmgQlgPkgOjfNifMhe\ LgeKfeKedKddJccJbcJabJ`bI_bIZaIYaIX`HW`HV`HU_HS_GR\ ZGQZGOYFNYFMYFKXFJXEIWEGWEFWEEVDCVDBUDAUD9UE8VF8WG\ 8WG8XH8YI8YI8ZJ8ZK8_K8`L8`M8aM8aN8bO8cO8cP8dQ8dR8e\ R8fS8fT8gT8hU8hV8iV8iW8jX7kX7kY7lZ7lZ7m_7n`7n`7oa7\ ob7pc7qc7qd7re7se7sf7tg7tg7uh7vi7vi7wj7xk7yk7zl7zm\ 7zm7zl9zlAzlCzkDzkEzkFzjGzjHzjIziJziKziLzhMzhNzhOz\ gPzgQzgRzgSzfTzfUzfVzeWzeXzeYzdZzd_zd`zcazcbzcczbd\ zbezbfzbgzahzaizajz`kz`lz`mz_nz_oz_pzZqzZrzZszYtzY\ uyYvxYwwXxvXxuXwtWvsWurWtqVspVroVqnUpmUolUnkTmjTli\ TkhSjgSifSheSgdRfcRebRdaQc`Qb_QaZP`YP_YPZXOYWOXVOW\ UNVTNUSNTRMSQMRPMQOMPNLOMLNLLMKKLJKKIKJHJJGJIFJHEI\ GDIFCIEBHDAHC9HB8HB8HFBHJDHMFHQHHUJHXLH`NHdQHgSHkU\ HoWHrYHv_Gz`HyaHxaIwaIvbJubJubKtcKscKrcLqcLpdMpdNg\ fNhfNhfNifNigNjgNjgNkg0zz } frm:MandelbrotMix2 {; 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)+(p4)), 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==================================