; Date: Thu, 29 Dec 2011 23:39:48 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 29-12-11 (Total Breakdown [?]) ; Id: <1.5.4.16.20111229234142.2b9780a4@earthlink.net> ; --------- ; ; FOTD -- December 29, 2011 (Rating ?) ; ; Fractal visionaries and enthusiasts: ; ; The rating of today's FOTD image is a question mark. I'm not ; sure how to rate it. I think this is the first FOTD image to ; actually make the breakdown of definition its main feature. ; ; The magnitude of 4*(10^9) is not all that great, but something ; like a quantum uncertainty principle must exist in Julia sets, ; which prohibits any trick that might reveal detail beyond the ; standard Mandelbrot magnitude limit of 10^12. Actually, such ; attempts merely shift the decimal point rather than add the ; imaginary extra precision of extra decimal places to the math. ; Curiously, when today's image is calculated by the standard math ; routine used by the type=julzpower formula, the breakdown is ; notably more severe. ; ; Today's image is actually part of one of the Julia sets of ; yesterday's image. This parent Julia set is filled with ; variations of today's scene, some of which are worth FOTD status ; in themselves, and might appear in a future FOTD. ; ; The name "Total Breakdown" exaggerates the situation quite a ; bit. A total breakdown would be either a flat color covering ; the screen or a screen full of featureless fractal sand. ; ; The calculation time of 1-3/4 minutes is reasonably brief for an ; image whose rating is a mystery. ; ; Those who do not enjoy mysteries yet do enjoy fractals may view ; the finished image on the FOTD web site at: ; ; ; ; The high-definition version posted at: ; ; ; ; will reveal even more of the breakdown of precision, though I ; doubt that any new stuff will be revealed. Perfect resolution ; may be achieved only by calculating the image with the ; type=julzpower formula, which does support arbitrary precision ; math. But doing this will increase the calculation time from ; seconds to days. ; ; The original, now classic, web site may be accessed at: ; ; ; ; The day began with a brilliant sunrise and a temperature of 21F ; -6C here at Fractal Central. But clouds moved in during the ; morning, and hung around for the rest of the day. The high ; temperature of only freezing was near normal, but compared to ; the well above-average weather we have had so far this season, ; felt quite cold. Luckily the wind was light. The fractal cats ; spent the day seeking warmth, finally finding it on the shelf ; over the radiator in the hallway. ; ; The humans passed the day wondering when everything will fall ; apart. With the government paralyzed and unable to switch from ; hand-out-the-benefits mode to cut-the-benefits-and-raise-the- ; taxes mode, the day of collapse can't be too far off. The next ; FOTD will be posted in 24 hours, unless the collapse comes ; before then. Until next time, take care, and be ready to bite ; the bullet. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Total_Breakdown { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=JuliaN center-mag=-0.0089014397\ 2939820/+0.01721564886246437/4.252493e+009/1/-10/0 params=2.0001/0/0/0/-1.940345965619678/7.483135796\ 9939e-008 float=y maxiter=5000 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000zOEzLCzKJcUIc3Hz3zW3FZ3Fa3Ed3Dh3Ck3Bn3Aq\ 39t38w37z37v26s26p25o23m25j25g24c14`14Y13V13S13P12\ M12Im2Fm1Lm19z1zz030zcm2_m1Wm1SG1OD1KA1I91mUzE70C6\ 0A508406304202109VI8RG7OE6KC5HA4D83A6264132F_mDWgB\ SaAOX8KR6GM5CG38B145T0RQ0NN0KK0HH0DE0AC09B07906705\ 503302101jzY`lTLePI_MGUJDOGAJC8E9596243EzzCpmBkcAf\ R9aO8XL7TI5OF4JC3E9296143BlM9cI7WE5OB3G7183K2rE1oD\ 1cC1eB1ZA1WA1U91R81P71M60U50M50I40F30D207105002zvz\ UUc31z20k20k20c20X20V20T10R10O10M10K10I10F00D00B00\ 9006004002IYKGWMFVNETODSPBRQAPR9OS8NTGVYObaViebqii\ xmciYYVITG2XUA_fIbsQ9Jl8Sh8`d8h`8qX8yT9iNAVHBGBZcT\ eZTlTSsOSuUPvZNwcKxhIymFzrDniHbaLRTPFLT4DWp70q60r5\ 0s40t40u30v20w20x10y00zKHzKEzKBzU8zK5z7Hz6Gz6FzUEz\ 5Dz5Cz5Cz4Bz4Az4cz38z38zc7z26zc5z2mz14z13z1mz01z00\ zAzz80z7zz7Zz6Xz6Wz6Uz5Sz5RzKPz4Nz4Mz4Kz3IzKGzUFz2\ Dz2Bz2Az18z16z15z03z01zRG } frm:JuliaN {; Jim Muth b=p1, z=p2+pixel, c=p3: z=z^(b)+c, |z| <= 16 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;