; Date: Mon, 04 Apr 2011 22:29:12 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 05-04-11 (Extra Redundancy [7]) ; Id: <1.5.4.16.20110404222911.145fcc38@pop.mindspring.com> ; --------- ; ; FOTD -- April 05, 2011 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; The skewed minibrot in today's image lies in the Z^(2.1)+C ; Mandeloid as it appears PI levels up the complex logarithmic ; hyperladder when no function is applied. This parent Mandeloid ; closely resembles the minibrot at the center of today's image, ; though it is rotated so that the main period-2 bud lies on the ; north side of the main bay. This bud has small valleys on its ; east and west sides. Today's image lies in the western valley. ; ; The name "Extra Redundancy" is a play on words. Since the word ; 'redundant' implies an overabundance, the word 'extra' is itself ; redundant. Today's exponent of 2.1 is also redundant, since it ; is more than enough to draw the classic Mandelbrot set, which, ; at least IMO, is the world's best fractal. ; ; Today's image rates a 7. The rating of a 7 is getting to be all ; too routine, so I might recalibrate the rating scale so that a ; present rating of 7 would become a new rating of a 5. Then, a ; present 6 would equal a new 4, and so on. ; ; Today's image calculates in 5-1/2 minutes, somewhat slower than ; ideal, but still fast enough to prevent a big disappointment. ; Those who wish to view without calculating may do so by hopping ; down to the currently active FOTD web site at: ; ; ; ; and viewing the finished image there. ; ; The original web site is still available at: ; ; ; ; My own FOTD web site is still in the building, checking and ; adjusting stage, but I have a feeling that I may post the web ; address in tomorrow's FOTD. ; ; Lots of clouds spoiled Monday here at Fractal Central, though ; the temperature reached a mild 63F 17C. The fractal cats spent ; several hours waiting for the sun to appear. Finally, when it ; did not, they made sympathetic faces and asked for extra treats. ; ; In the human department, the day was average busy, the web site ; made progress, and nothing unexpected turned up. If all goes ; well, tomorrow could be the same. The next FOTD fractal will ; probably be posted in 24 hours. Until then, take care, and I ; read in the morning paper that some scientists are seriously ; considering intentionally altering the earth's atmosphere in an ; attempt to slow 'man-made' global warming. If they actually try ; to do so, we will know who to blame for any subsequent disasters ; due to severe weather. (Lawyers start advertising now.) ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= Extra_Redundancy { ; time=0:05:32.79-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.35834972189/+0.92985649615/393902/1/\ 137.5/0 params=2.1/0/3.14159265358979/0 float=y maxiter=15000 inside=0 logmap=240 periodicity=6 colors=000KkZLlYMnXNoW`_XnKXlIVkGTjERiCPhANg9LcDM_\ HMWLMSPMPSMOULOWKOYKO_JNaINcINeHNgGNiGMkFMmEMoEMqD\ MrDSlGYfIbaKhWMmROsLQxGS0vr5unAukEuhJteOtaStZXsWas\ TesQfqUfoXfm_fkbfiffgifelfcohfijhcljZnlTooNqqIssCu\ uAvwKwwUxxcyymzuwxrrvmmthhrccpZZmUZlPZlK`jHbiFdhJf\ fOheTjdXlbanafp`jrZotYtvXxxWurVsmUpgTnbSkXRiSQfMPd\ HOaBN_6NY1QX4SW7VW9XVC_UFaUHdTKfTMiSPkRSnRUpQXsP_u\ PaxOdzOfwMgtLhrJioIjLBcNBhQBmSBrVCnXDjZEf`EbbFZdGV\ fHRhHNbGKXGIRFFLFDFEA9E83E64H84JA5LC5ND6PF6RH7TJ7V\ K8XM8ZO9`Q9bRCcUFcXHdZKdaMdcPefRehUfkWfmZfp`grcgue\ gwddvdavcZvcXvcUvbRvbOvbMvaJvaGvaEv_HvYKvWNvUQvUTv\ UVvUYvM`vUcvcfvchvckvcnvcqvctvcvvmtwmrxmqymozmmzml\ zrjzzizzfzzdzzbzz`zzZzzXzzYzzZzm_zmazmczmezmgzmizm\ kzmmzmozmqzmszmuzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwz\ mwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzw\ zzwzzwzzwzzwzzwzzwzzwzzwz } 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|