; Date: Tue, 14 Apr 2009 18:55:31 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 15-04-09 (Planetary Nebula [8.75]) ; ; Id: <1.5.4.16.20090414185604.2b5fb372@pop.mindspring.com> ; --------- ; ; FOTD -- April 15, 2009 (Rating 8.75) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows an apparently cubic minibrot caught in the ; act of anti-iterating, a phenomenon that I recently discovered, ; or more accurately heard about. I named it "Planetary Nebula" ; because it rather looks like one. ; ; Anti-iteration is when the number of elements is repeatedly cut ; in half as we approach a point of attraction, rather than ; constantly doubling, as is the case with normal minibrots. (A ; planetary nebula is formed when a normal-sized star runs out of ; nuclear fuel late in its life and puffs off its outer layers in ; a gaseous shell until it finally collapses into a white dwarf.) ; ; On the surface, the parent fractal of today's image resembles a ; grossly oversized Mandelbrot set, but deep in its depths every- ; thing turns cubic. Today's scene is located on a filament exten- ; ding southeast from the main bay of the third largest minibrot ; on the main stem of the Mandelbrot-like parent, at a depth where ; everything has become almost but not quite cubic. ; ; The rating of an 8-3/4 includes 1/2 point for mathematical ; interest and 1/4 point for the coloring. The calculation time ; of an incredibly fast 43 seconds will pass in an instant when ; the top part of the image first appears. Those with a high- ; speed connection to the internet may download the finished image ; from the FOTD web site at: ; ; ; ; in even less time. Those with a dial-up connection may need to ; wait a few seconds longer. ; ; Clouds, rain and drizzle kept the fractal cats in a sour mood ; all day Tuesday here at Fractal Central. The temperature of 48F ; 9C cheered them none at all. Only a combination of tuna, turkey ; and cheese made the duo bearable. ; ; My day was a bit improved however -- the day's work went better ; than expected. If the luck holds, the next FOTD, which will be ; posted in 24 hours, will also be better than expected. Until ; then, take care, and if the government gave everyone a tax ; refund of one million dollars, all our economic problems would ; instantly be solved as they went out and spent the money. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Planetary_Nebula { ; time=0:00:43.63-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 center-mag=-40.49524913009\ 69/-0.1710667530665/1.65e+009/1/-122.5/0 inside=255 params=3/25 float=y maxiter=1500 periodicity=10 colors=000PFpPCqPArP8rQApRBnSClTEjUFhVGgWIeXJcYKaZ\ L__NY`OXaPVbRTcSRdTPeUNfWMgXKhYIi_Gj`EkaClbBkaCkaD\ k`Dk`Ek_Ek_FkZFkZGjZGjYHjYHjXIjXIjWJjWJjWKiVLiVLiU\ MiUMiTNiTNiSOiSOhSPhRPhRQhQQhQRhPRhPShPSiSRiUQiWPi\ YPj_OjaNjcMjeMkgLkiKkkJkmJlkKliKlhLlfLldMlcMlaNl_N\ lZOlXOtM4lWOjcWdefZgpUhzTgyTfxTfxTewTevTdvTduTctTc\ tTbsTbsTarTaqT`q000555AAAEBEFBFFCHGDJGEKHFMHGNIHPI\ IRJJSIKUILWHLXHLZGL_FLaFLcELdELfDLhDLiCLkCLlBLnBLp\ ALqALs9Lu9Lv8Lx6Jz8LyANyBPyDRyETyGVxHXxJZxK`xMbxNd\ wPfwQhwSjw_lwcnvjyzuyvzzzzzzzzzzzzvvvbrrmmmbwzbqzb\ kzbhzbfzbezccudauf_ugYuhXuiVujTukRulPumOumMunKuoIu\ nGuo8tnFujLuaRuTXuLbuJapH`lF`hD_dB__9ZWzzSzzO2zzzz\ z4zz5zzzzTzzW7_Z8`a9`dAagAajBbmCbpDcs6rzDcvJPrPBnO\ EmOGmOIlOKlNMkNOkNQjNSjMUiMWiMYhM_hLahLcgLegLgfKif\ KkeKmeKodJqdJscJucJwcKtdKreKofLmfLkgLhhLfhMdiMajM_\ jMYkNVlNTlNQmOOnOMnOJozzz } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint