; Date: Fri, 18 Oct 2002 10:05:14 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 18-10-02 (Periodicity Ten [7]) ; Id: <1.5.4.16.20021018100649.2a478744@pop.mindspring.com> ; --------- ; FOTD -- October 18, 2002 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; I enjoy surreal art, especially when it speaks of other ; realities. I also feel that surrealism is not total fantasy, ; for in all likelihood, other unseen realities surround and ; enclose our familiar reality much as the planet itself is ; surrounded and enclosed by space. This belief does not conflict ; with the critical thinking I mentioned in yesterday's FOTD. ; Critical thinking does not determine one's world view, rather ; one's world view determines whether critical thinking can show ; that person the way to the *entire* truth. ; ; Today's critically surreal FOTD image takes us to a totally ; alien world, where Mandelbrot buds line the ridge of a slight ; hill, and bits of fractal debris swirl about in the gentle ; breeze. The entire scene is illuminated by an unseen source of ; light beyond the left edge of the screen. All that is missing ; is a bug-eyed alien, and he might pop up over the ridge at any ; moment. ; ; The image has several unusual technical features. To start, ; other than the few darker green spots with curved edges, the ; entire scene consists of a blank inside left over from an ; 'evaporated' fractal. In this case however, the fractal was not ; evaporated by raising the bailout to a ridiculous level, it was ; evaporated by dropping the exponents of Z to 0.5 and -0.5, which ; equals the square root and reciprocal of the square root of Z. ; Then C was added to complete the iterated expression. ; ; I named the image "Periodicity Ten" because its appearance is ; determined by the setting of the periodicity. It is rare indeed ; to see an image so greatly controlled by its periodicity. ; ; To bring out the details in today's image, I set the inside to ; < atan >. The other inside fills also give interesting effects, ; and are well worth a look. ; ; The passes must be set to 1 when rendering the image. Otherwise ; many of the smaller fragments are missed. ; ; Unable to decide on the rating of an image so different from my ; usual fractal fare, I finally decided on an above-average 7. ; The relatively fast render time of 7-1/2 minutes probably helped ; in my decision. ; ; But even 7 minutes is a bit slow for someone with other more- ; pressing tasks waiting to be done. So for convenience, the ; pre-rendered GIF image is available on the FOTD web sites at: ; ; ; ; and at: ; ; ; ; The weather Thursday here at Fractal Central started sunny, but ; turned cloudy in the afternoon, followed by a moderate shower at ; 5pm. The dynamic cats had their day's outing early, before the ; clouds moved in, when it was still sunny and the temperature was ; 61F 16C. ; ; My day's outing must wait until the work is finished however. ; And before I can finish, I must begin. So until the next FOTD ; appears in about 24 hours, take care, and be kind to your ; fractals when they're in critical condition. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Periodicity_Ten { ; time=0:07:33.79--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.72969/0.427018/11.89333/1/-72.5/-5.0\ 50126983263681e-014 params=1/0.5/1/-0.5/0/0 float=y maxiter=1200 inside=atan logmap=yes periodicity=10 colors=000KsaJraJqaIpaIo`Im`Hl`Hk`Gj_Gi_Gh_Fg_FfZE\ eZEdZEbZDaZD`YC_YCZYCYYBXXBWXAVXATXASW9RW9QW8PW8OV\ 8NV7MV7LV7KV8LW9MXANXBOYBPZCQZDR_ES`FT`FTaGUbHVbIW\ cJXdJYdKZeL_eM`fNagNagObhPciQdiQejRfkSgkThlUimUimV\ jnWkoXloYmpYnpZoq_pr`qrarsartbstctuduvevvewwfxxgyx\ hzyhzygxvfvsfupesmdqjdpgcndblabkZaiW`gT`fQ_dNZbKZa\ IW_ITZIPYIMWIJVIGTIDSIARI7PI4OI1NI2OJ3PJ4PK5QK6QL7\ RL8RM9SMASMBTNCTNDUOEUOFVPGVPHWPIWQJXQKXRLYRMYSNZS\ NZSO_UP_WQ_YQ_ZR_`S_bS_dT_eU_oU`mV`nW`oW`pX`qY`rY`\ sZ`u_`w_`xZ`vY`uY`u_On_Qm_Rk_Tj_Vi`Wg`Yf`_e``c`bba\ daae_agZaiYajWblVbnUboSbqR00Q00R0zR00Rzzzj0RkqRmqR\ nqSpqSqqSsqStqSvqSwqSxqSCl5Di8DfADcCE`EEYHEWJFTLFQ\ NFNQFKSGHUGFWGCZH9`H6bH3dH1fJ0bK0ZL0VM0RN0OP0KQ0GR\ 0CS08T05U37U68V99VCAVFBWICWLDWNEWOHWOKWOMWOPWOSWOU\ WOXWOZWOaWOdWOfWOiWOkWOnWOqWOsWOvWOxXSxfKopCydIqTN\ jUOkNvbMxcMycLwbLvbKubKtb } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE================================== ; ;