; Date: Mon, 12 Mar 2007 22:17:59 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 13-03-07 (Pebble in the Pond [Rating 9) ; ; Id: <1.5.4.16.20070312212123.29c75a54@pop.mindspring.com> ; --------- ; ; FOTD -- March 13, 2007 (Rating 9) ; ; Fractal visionaries and enthusiasts: ; ; For a change, today's image most definitely does deserve both a ; name and a rating. I named it "Pebble in the Pond" for obvious ; reasons, and rated it at a 9. No special formula was needed to ; create the effect of ripples on a pond. It was all done with ; nothing more than old-fashioned equal iteration bands and clever ; coloring. Finding a real fractal that looks like rippling water ; is far more satisfying, at least to me, than writing a formula ; that creates artificial ripples in any image. ; ; What we have in the image is the familiar Seahorse Valley of the ; classic Mandelbrot set. I realize that nothing even vaguely ; resembling either the valley or its Julia set appears in the ; image, but this is a view of the valley from an entirely new and ; unimaginable direction, and four-dimensional thinking is needed ; to visualize what is going on here. ; ; I'll not get into a lengthy discussion of the fourth dimension ; at this time. I have discussed this mathematical abstraction at ; length numerous times in past FOTD's. But one thing for certain ; is that the image is lightning fast, and will finish in only a ; few seconds. Considering its rating of a 9, this is the best ; FOTD value in many weeks. ; ; Those who do not render may see the image on the FOTD web site ; at: ; ; ; ; With enough sun and a temperature of 57F 14C, the weather ; outside was delightful here at Fractal Central on Monday, but ; the fractal cats did not notice. They were more interested in ; something they seemed to hear around the kitchen cabinet. I ; heard nothing, but the hearing of a cat is very sharp, and they ; might have heard a mouse or something in the woodwork. They ; must still remember the mouse that came out of the hole by the ; radiator in the hall last autumn. ; ; My day was once again quite busy, but hopefully, the end is in ; sight. There is no guarantee however. The next FOTD is due in ; 24 hours. The big question is whether it will appear when it is ; due. Until that mysterious moment arrives, take care, and when ; wondering about the great mysteries of life, don't ask what or ; when -- ask why. That is the real and most difficult question. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Pebble_in_the_Pond { ; time=0:00:29.96--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new center-mag=0/-0.130\ 564/2.314276 params=90/40/2/0/0/0/-0.75/0 float=y maxiter=100000 inside=255 symmetry=yaxis logmap=yes periodicity=10 colors=000Q0hR2iS5jT8kUPnVSmWTnXVoYXpZZq_`r`bsadtb\ fuchvejwfkwglxfkzekwdjvciubhtagrafq`ep_doZcnYbmXak\ X`jW_iVZhUZgUYgTXfSWdRVcRUbQTaPS`OR_NQYMPXMPWLOVKN\ UJMSILRHKQGJPGIOFHNEGLDFKCEJBDIBCHABG9AE89D78C67B5\ 6A55944733622511400320640860A80AA09C09E08G07I07K06\ M36O65Q94SB4U93X83_62b41e31h10g6Ie5Hc5Hb5H`5G_5GY5\ GY5GX5FW5FW5FV5FV4EU4EU4ET4ET4DS4DR4DR4CQ4CQ4CP4CP\ 3BO3BO3BN3BM3AM3AL3AL3AK39K39J39J39I28H28H28G27G27\ F27F27E26D26D26C26C15B15B15A15A1491481481371371361\ 3602502502402301301201201100100000zzQnzmmzmlzmkzmj\ zmizmgpMfoLemKdlKcjJbiJahI_fIZeHYdGXbGWaFV_FTZESYE\ RWDQVDPUCOSBNRBLQAKOAJN9IL9HK8GJ7EH7DG6CF6BD5AC59A\ 4893683562452341221110ry`pw_ovZntYlsXkqWjpVinUgmUf\ lTejSciRbgQafP`dOZcOYaNX`MV_LUYKTXJSVIQUIPSHORGNPF\ LOEKNDJLCHKCGIBFHAEF9CE8BC7AB68A678567455334222111\ 0ENuDMsDLrL4dL4dL3eL3ezzz } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint