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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> 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 20.0 PAR-FORMULA 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 20.0 PAR-FORMULA FILE==================================