; Date: Sun, 27 Jul 2008 22:45:41 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 28-07-08 (Pyramidal Ribbons [7]) ; ; Id: <1.5.4.16.20080727224611.2bd79ec0@pop.mindspring.com> ; --------- ; ; FOTD -- July 28, 2008 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Before giving up on the almost-linear Mandeloids, I ran the ; Z^(1.009)+C Mandeloid through the Fractint evolver feature and ; found a fractal with enough variety to actually be interesting. ; The real(p2) parameter reveals that I let the program find the ; parameters. I would never enter such a value on my own. ; ; This parent fractal is shaped like most Mandeloids in this range ; -- somewhat like a roughly parabolic, stone-age arrowhead. It ; has a bit of chaos on its southeastern shoreline. Today's scene ; is located in this chaos. ; ; I surprised even myself when I found today's image, which ; resembles festive colored ribbons twisting around the apex of a ; dark brooding, sickly green pyramid. I thought of the name ; "Pyramidal Ribbons" almost at once. ; ; The magenta-ish background pattern is truly fractal, with the ; herringbone pattern continuing unchanged at ever smaller scales, ; apparently without limit. ; ; Whether the image truly deserves its rating of 7 is up to the ; individual viewer to decide. In my opinion, the image is well ; worth the rating. ; ; The calculation time of just over 4 minutes could be a bit ; faster, but it is not beyond the range of reason. Another ; reasonable way to see the image is to surf over to the FOTD ; web page at: ; ; ; ; and view the image already calculated and posted there. ; ; The next FOTD will appear in 24 hours. At this time I have no ; plans as to the theme, so check in then for a possible surprise. ; Until that glorious moment, take care, and keep your fractals ; simple. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Pyramidal_Ribbons { ; time=0:04:04.65-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=-6.9182776751/-18.4032734921/11051.95/\ 1/-33/0 params=1.009/0/922.5954466383862/3500 maxiter=2500 inside=0 logmap=410 periodicity=10 colors=000KJAKJAKJAKJAKJAKJAO9AQ8CS8EV7FX6E_5Da4Cb\ 29c4Cd5Fe7Hf8Kg9MgBPhCRiDUjFXkGZkIalJcmKfnMhoNkoOm\ nNlmNllNlkMljMliMkhLkgLkfLkeLkdKjcKjbKjaJj`Jj_JiZI\ iYIiXIiYGhXIiXJjXLkXMlXNlXPmXQnXSoXTpXUpXWqXXrXZsX\ _tXYxX`tXbpXnmXfiXhf`qbXmZXoWctSXsPcuLhvHswIkvIptI\ msJcqJoqJVoJUmKkmKTjKTiKghLSfLSdLbdMRbMQ`MX`MPYNPX\ NWXNOUNOUSWUONQOOSSUSMNPOMUTUUSJVUJXXHYYG__EaaDccC\ deBfg9hi8jk7jm7lq6mo6mm6mk6mi6mg6mf6md6mb6m`6nZ6oX\ 6pW6qU6rS6sQ6tO6uN6vL6wJ6wH6wF6wD6wC6wA6z86z66z46z\ 37z67z88zA8zCBzQ9zP4zQ7zPAziCziEyiGxjHwzJuzLszNqzP\ ozRmzTmzUmzWmzYmz_mzamzcmzemzemzfmzglzgkzhizigziez\ jczjazkZzlUzlSzmQzmPznPzoOzoOzpNzlNzlMzmMzmLznKzoK\ zoJzpJzmIzmIzmHzmHzmGzmGzmHzmHztIzsIzrJzqJzoKznKzm\ KzlLzkLzjMzhMzgNzfNzeOzdOzcOzjazrczqczpczocznczmcz\ lczkczjcziczhczgczfczeczdczcczbczacz`cz_czZczYczQc\ zQczPczPczOczOczNczNczMcz } 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|