FOTD -- May 21, 2004 (Rating 3) Fractal visionaries and enthusiasts: The discussion for today must once again be brief. The shelves here at F.C. are filled with work waiting to be done. Today's quickie image takes us to the fractal that results when the expression Z^(sqrt(2))+C is iterated. I use the square root of two because this value causes the midgets to reveal their presence by the 2-way symmetry that often surrounds them. The existence of a midget in today's image must be inferred. The actual midget at at the center lies far beyond resolution. The fragmented, sharply angular features radiating from the unseen midget are typical of midgets in fractals created by exponents of Z between 1 and 2. The scene itself actually lies in the 'East Valley' area of a larger midget. Seeing little of interest in the image, I rated it at another lowly three, and named it "Splash". One look at the finished image will justify the name. When the 7-minute render time is considered, the overall value comes in at an unimpressive 40. The render time and value become meaningless when the completed GIF image is downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With light sprinkles of rain continuing through the day Thurs- day, the duo had little opportunity to get outside. A generous treat of tuna eased their disappointment. Today is starting cloudy, and we have already had one thunder-shower. It does not look good for the duo. For me, it will look better when the customers are satisfied. Until next time, take care, and see you soon. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Splash { ; time=0:07:34.56--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.3372158749\ 447071/+1.146008548386008/3.684655e+011/1/115/-0.3\ 303244820299197 params=1.414213562373/0/0/0 float=y maxiter=1500 inside=0 logmap=355 periodicity=10 colors=000`v_`r_`nZ`jZ`fY`bYaZXaVXaRWaNWaJVaFVY0_a\ BVdLRgVNkdInnEox4qxArxGsxMtxRuxXvxbwxhsrzxxmyrnymn\ yhoycoyYpyTpyOqyJqvImsHjpGgmFdkEahDZeCWbCS_BPYAMV9\ JS8GP7DM6AE58K67P67V67_76e76k53j76j89j9CjBFiCIiDLi\ EOiGRiHUhIXhK_hLbhMekQghNhfLicJjaHk_FlXDmVBnJB7T9n\ QGjNNgKUcI``FgXCnU7wPAuRCtSFrTHqVJpWMnXOmZRk_Tj`fx\ PViaxZxJWmKXoKXpKXqKXrLXsLXtLYuLYvMYwMYxMYyMYzO_yP\ `xQbxRcwSdvTfvUguViuWjtXksYmsZnrZst_or_lq`ip`foacn\ a_lbXkbUjcRigNucOh`OXXPKYR9UP8RO8NN8KM8GL7DK79J74F\ 66I77L79N8AQ8CT9BV1DV9UyFFVGwRC00G3AH6JI9TJBaJC`MD\ `PE_SE_VFZXGZ_GZbHYeIYhJXjJXmKWpLWsLWuKXrJYoIYmHZj\ GZhF_eE`cD``CaZBaWAbU9cR8cP7dM1cM7dKDeJJfHPfGVgE`h\ DfhBliArj8yi3xj7xjBxjExjIxjLxjPwkSwkWwkZwkbwkewkiw\ kloegg`c`W_TQWLLSEGOIFMLFKPFJSFHVEGZEEaEDdEBhE9kD8\ nD6rD5uD3xD2uH3rK3pN4mR4jU5hX5e`6bc6ae1`f6_fA_gEZg\ IZgMYhQYhUXhYWia_yZYyi_z` } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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|<a } END 20.0 PAR-FORMULA FILE==================================
On Fri, 21 May 2004, Jim Muth wrote: (...)
The actual midget at at the center lies far beyond resolution.
Do you mean for me to infer that fractals _don't_ hav _indefinite_ resolution that is limited only by the speed of your instruction processor, or is seeing "the actual midget" something that can't be done without fully operational arbitrary precision? (...)
frm:MandelbrotBC2 { ; by several Fractint users
I'm not sure what you mean by that copyright notice. I jenerally figure that if you so much as rename the variables to something that you can explain, then the formula is yours (this example requiring attribution). But that formula has "Jim Muth" written all over it, so what are you blaming the Stone Soup Group for?
participants (2)
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Jim Muth -
SherLok Merfy