; Date: Fri, 02 Nov 2007 21:33:22 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 03-11-07 (Eyes of Taurus [5.5]) ; ; Id: <1.5.4.16.20071102203442.2a6fb080@pop.mindspring.com> ; --------- ; ; FOTD -- November 03, 2007 (Rating 5.5) ; ; Fractal visionaries and enthusiasts: ; ; In the mail today I received the holiday offering from a popular- ; ized science book club I belong to. Most of the books offered ; were of the typical 'learn string theory in a day' variety. But ; on the back page of the advertising magazine I saw an offer for ; a $199.00 book titled "The New Encyclopedia of Unbelief", which ; when ordered for the special club member's price of $124.99 will ; come wrapped in holiday gift wrapping. ; ; It seems to me like some kind of macabre joke, giving someone a ; book about Atheism for Christmas. It is probably no accident ; that the book is published by a well-known skeptical organiza- ; tion that exposes phony psychics and generally debunks claims of ; the paranormal. Their real agenda is the promotion of Atheistic ; Rationalism. Hmmmm . . . I wonder if hard-core skeptics believe ; in the reality of fractals. ; ; Anyway, it doesn't matter what skeptics believe, since I am a ; true-believing born-again believer in fractal reality -- at ; least a true believer in the reality of pictures of fractals. ; And to prove my point, I have included the parameter file of a ; fractal that was created by the formula Z^(1.5)+C. ; ; To create the parent fractal I turned to the MandelbrotBC1 ; formula, which is a more versatile version of the MandelbrotBC2 ; formula. To add extra interest, I calculated the formula with ; the function set to 'cotan', rather than the hard-coded 'floor' ; function of the MandelbrotBC2 formula. The result is a totally ; different fractal. ; ; This new fractal is little more than a shapeless bay surrounded ; by filaments and chaos. Today's scene is located in a small, ; narrow, pinched-off valley on the northwest shore line of the ; shapeless bay. I named the image "Eyes of Taurus" because of ; the multitude of bulls-eyes scattered throughout the scene. The ; little minibrot just to the upper right of center adds a point ; of interest. ; ; But despite all this, I could not bring myself to rate the scene ; any better than a 5.5, and a half-point of this is due to the ; extra effort I put into the coloring. ; ; At least not too much time will be spent calculating the image. ; The included parameter file runs in 5 minutes. And for those ; who do not calculate, the finished image is available on the ; FOTD web site at: ; ; ; ; Only a slight nip in the air kept Friday from reaching total ; perfection here at Fractal Central. The cloudless skies and ; high temperature of 55F 13C made any outdoor activity except ; swimming a pleasure. The fractal cats voiced their agreement as ; they asked for their tuna. Other than the book offer, my day ; passed with nothing worth mentioning taking place. The next ; FOTD will be posted in more or less 24 hours. Until then, take ; care, and be where it's at. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Eyes_of_Taurus { ; time=0:05:19.89-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=cotan passes=1 center-mag=-0.308369929869/+0.572186118653/1002987\ /1/37.5/-5.421888982e-008 params=1.5/0/10/0 float=y maxiter=4000 inside=0 logmap=333 periodicity=10 colors=000iVgpQhlVhh_hddh`ihXnhSymTrhUkcUdZVYUJKFP\ OLVRQ_UWeX`k`epckvfpziuxhrvhotgmqgjofgmfekebhe_fdY\ ddVbcS_cQYbNWbKUbIXZEmWaiaKfg2i`5lV7oOArICtCEsEDsF\ CsHBsIArK9rL8rM7rO6qP5qR4qS3qT2G70gVcbSZZQUVOQRMLN\ JGJHCFF7BD27B08I5qV`kSWfPR`NNWKIQHDLF9FC4A90OmqMil\ LfgJccI_ZGXVFUQDQMCNHAKD9G87D46A0sfjj`abVTUPLMJCDD\ 3z_otXinUchRYbOTYLNSIHMFCGC6A909su8oq8lm8ih7ec7bZ7\ _U7XP6TK6QH6ND6K95G65D25A0_mRXiOUeLSbJPZGNWDKSBHO8\ FL5CH3AE07A05DE5B7O91zs6vn4pi3jd2d_1ZV0TQ0NL0HG0BB\ 0rJUnIRkHPhGNdFKaHIZMGVRDSWBP`9Le6Ij4Fo2Bt08y0PxKN\ pILkGKfEIaCKXAPS8UO6ZO4cP2hK0mG0rB0oL2iMHkRFnWCp`A\ reCtjFvgKxcPzdUzjZzlcynhxpmwrqvoutlusiurguqdupaunZ\ umWulTukQujNulNujMuiLuhLufKueKudJucJuaIu`Iu_HuZHuZ\ IuhXurkuhou_suRwuEzuGzuIzuKyuMxuNwuP`uR`uT`uV`uW`u\ Y`u_`ua`uc`uL`uVjudfuceuceubduxXum`ubduYmuVjuShuPe\ uMcuJauN`uR_uVZuYYuaXueWu } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-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|