; Date: Tue, 01 Dec 2009 18:15:24 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 02-12-09 (Epsilon Experiment [7]) ; Id: <1.5.4.16.20091201181522.2fef8e5c@pop.mindspring.com> ; --------- ; ; FOTD -- December 02, 2009 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Sometimes the irrational number 'epsilon' does strange things. ; When applied to the world of fractals it is not quite so ; strange, but as today's image shows, it still creates some ; interesting images. ; ; Today's image lies in the parent fractal that is created when ; the formula Z^(2.718...)+C is iterated at ground level and no ; function is applied. This fractal resembles a Mandelbrot set ; with its main stem pointing north and an extra cove attached to ; the southwest shore of its main bay. Today's scene is located ; in the East Valley of the main bay of this parent. ; ; The name "Epsilon Experiment" was almost automatic. The rating ; of a 7 might be a bit generous. The calculation time of under 3 ; minutes will bring no grief, but viewing the finished on the ; FOTD web site at: ; ; ; ; will bring even less grief. ; ; Tuesday dawned cloudy here at Fractal Central. The clouds hung ; overhead all day, depressing the moods of the fractal cats, ; while the chilly temperature of 45F 7C helped not a bit. The ; cats displayed their displeasure quite vocally, and did not ; quiet down until an extra serving of tuna appeared. ; ; Except for the routine stuff, my day was uneventful. The next ; FOTD will be posted in 24 or so hours. Until then, take care, ; and why is the "Monty Hall problem", which is not a puzzle at ; all, so difficult to explain. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Epsilon_Experiment { ; time=0:02:51.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.09115973506230973/-0.366158003158718\ 20/1.700819e+011 params=2.71828182845905/0/0/0 float=y maxiter=5000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000cKHbKGbJGaJGaJG`IF_IF_IFZHEYHEYHEXGEWGDW\ GDVFDUFCUFCTECSECSEBRDBQDBQDBPCAOCAOCANB9MB9MB9LA9\ KA8KA8J98I97000I97H87G87G86F76E76E75D65C65C65B54A5\ 4A54943843843733632632522421421311211210100000zpSz\ oRznRzmQzlQylPxkPxjPviOuhOthNrgNqfMpeModMndLmcLkbK\ jaKi`Kg`Jg_JfZIeYIdYHcXHbWHbVGaUG`UF_TFZSFYREXQEXQ\ DWPDVOCUNCTMCSMBRLBRKAQJAPIAOI9NH9MG8MF8LF7KE7JD7I\ C6HB6GB5GA5F95E84D74C73B63A52A42932831721110000Vez\ UdzTczTczSbzSazRazR`zQZzQZzPXzPWzOVvOUrNTmMShMScLS\ ZLSVKSUKTUJSTJRSIQRIOQHNQHLPGJOGJNFINEHMEHLDGKDFJC\ FJCEIBEHBDGACFACF9BE9AD8AC89B78B68A679578567457456\ 3453342332231121110004b93`83_83Z83Y83X73W73V73U73T\ 62S62R62Q62P52O52N52M52L42K41I41H41G31F31E31D31C21\ B21A2092081071061051040030020010oZDnYCmXClXClWCjWC\ iVBhVBgUBeUBdTBcTAbSA`SA`RA_RAZQ9YP9YP9XO9WO9WN8VN\ 8UM8TM8TL8SK8VKAXKA_KAaKF } 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|