FOTD -- May 29, 2011 (No Rating) Fractal visionaries and enthusiasts: Today's image is another super-quickie. I got lazy. Even the most ardent fractalists sometimes feel lazy when the weather is warm. To produce today's image I started with yesterday's mallard duck and gave him his proper plumage by rendering the fractal with the inside set to 'zmag'. (In my haste, I forgot to give the poor bird his plumage in yesterday's image.) Apparently, I also forgot to give him a bill. (A duck would have a hard time dabbling for food without its bill.) Today, feeling sorry for the bill-less bird, I went to the spot where the bill should have been attached, but nothing I tried came anywhere close to adding a workable duckbill. Finally, in frustration, I checked a small area of debris in the vicinity. After a brief search of the debris field, I found no bill, but the broken spiral that appears as today's image was enough for an FOTD. There is not much I might say about the image, which is best left to quack for itself. I gave the image no rating, though a rating of something like a 5-1/2 seems appropriate. The name "Least Likely Spiral" reflects the disconnected nature of the spiral, which I assume is endless. To see the image, set up and run the included parameter file. The image is posted already calculated on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site is at: <http://www.Nahee.com/FOTD/> A very pleasant day prevailed here at Fractal Central on Saturday, with lots of sun and a temperature of 82F 28C. The humidity was rather high, but fractal cats do not worry about humidity, so the dynamic duo had a relaxed day, and even managed to avoid getting into trouble. The humans had a reasonably pleasant day also. I spent a good part of the time watching the clouds drift by, while FL busied herself working in the garden. The next FOTD will be posted in 24 hours. With the first holiday of summer coming up, the next fractal or two might be more quickies. Until then, take care, and I finally worked out the answer to the perplexing measurement problem, but as soon as I finished, my answer became uncertain. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= LeastLikely_Spiral { ; time=0:22:40.23-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-0.485482025/+1.43064256028/198250/1/\ 54.6/0 params=1.05/0/10.5/1500 float=y maxiter=3200 inside=zmag periodicity=6 colors=00012K22K32L42L52M62M73M73N83N93O93OA3PA4PA\ 4PA4Q54B54D54E55G55H55I65K85LA5NC6OE6QE6RE6SF6UF6V\ F7XG7XG7ZH7_I7`J7bK8cL8eN8fP8gR8iT8jU8lW9mX9oY9pZ9\ qJ9cJ9cAIQ9GV8FZ8Db7Cf7Aj69n68rGKfQWV_fJq53lBBgHIb\ MQZSXUYcPbkKhrGmyJooMpePqWRrMHv1Gq8FlEEgLEbRDYXCTc\ BOiBKo9Tk7`g6hc4p_3xX7wZAw_Dw`HvbKvcNvdQvePsaOpZNm\ VMjSLgOKdLJaHI_EFbLDdSAfZ8hdFfWMeNSdERZDQTCPOBOIAO\ D9UKCZREcXHicJniMspOxvQaicFYpAZg5_Z0`Q4aM7bIAcFDdB\ Ge8Jf4Mf1o1Cj8FeEH`KKWQMRWPMaRHgUCmWqrPqoMqmJqjGqh\ EelBVp8Ks6Np9PnBRkDTiFVgIXdKZbM``O_YPzVPzSPzPQzMQz\ JQzHQzKOzNNzQLzTKzWJz`LzdNzhPzlRzpTztVzgdzWmzgQzdO\ zbNz_LzYKzVIzTHzRGzLMzGRz3PzT1zS6zRBzQGzPLzOQzNUzK\ WzHYzRTz`PzjKzsGzqHzoIznJzlKzkLziMzhNzXRzLVzAZzJcz\ RgzZlzfpzntzfmz_gzS`zLVzPZzTazXez`hzdlzhozlszovzs_\ zvDzqMzlVzhczclz_tzcbzfMzgPzhRziTzjVzhSzfPzdMzbJz`\ GzZDzXAzV7zW8zX8zY9zZ9z_G } 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|<a } END PARAMETER FILE=========================================