FOTD -- August 16, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image again departs from the August theme of images very deep in the Mandelbrot set. The departure was necessary to give me a chance to find another worthy image. These deep images are very slow and sometimes I simply have no chance to find one. But today's image is nothing to sneeze at. It's a scene in the parent fractal that results when the expression, (it's really not a formula), Z^(2.2)+C is calculated 22 levels up the complex logarithmic hyperladder. This parent fractal resembles a Mandel- brot set rotated about 200 degrees CW, with two East Valleys on the west side of its main bay. Today's image is located in one of the last islands in an archipelago of debris extending from the center of the southern valley. The name "A Midget in a Spot" has little meaning beyond the sound of the words. The rating of an 8 is what I thought the image is worth at the time I rated it. The calculation time of 33 seconds is thankfully brief, about the same time required to view the finished image on the web site. The official FOTD web site, with the finished image is online at: <http://www.crosscanpuzzles.com/Archives.html> A high definition version of the image may be viewed at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The venerable classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> The day began with a light rain shower here at Fractal Central, but by midday the clouds parted, leading to a mostly sunny afternoon with a temperature of 82F 28C. The fractal cats spent an unusually long time in the window, which means they approved of the more pleasant conditions. The humans spent the day doing little out of the ordinary, though 'ordinary' implies enough work to keep us busy. The next FOTD will be posted in 24 hours. If all goes according to plan, it will be a great one. Until then, take care, and if you can't believe what religion teaches, turn to science; if you don't like what science has found, turn back to religion. If you wish to find the real truth, welcome to the group. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= A_Midget_in_a_Spot { ; time=0:00:33.18-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip center-mag=-0.3441515092977831/-0.0530208699951345\ /1.967296e+007/1/54/0 params=2.2/0/22/0 float=y maxiter=1800 inside=0 logmap=74 periodicity=6 colors=000A0UA0TA0SA0RA0QA0PA0OA0NA0MA0LA0KA0JA0IA\ 0HA0GA0FA0EA0DA1CA2BA3AB34G96LF7QL8VR9_XBdbCihDlmE\ VizQfxMcxH`wDYv8Vu4Su0Pt4MsBLrMJqLKpSKoUUhicaqmWzv\ PzzJmvRcrZOmfGhn9cv7Zr6Un5Pk4Kg3Fd3Dk3Bq9DoFFnKHlQ\ JkWLi`NhfPfkQejJbiC_h5XVE`IMdZP_nSVlUYjV_iXagYce_f\ d`hbbjaclbicbnVbtMbyEZrHVkKReMNZPJTRFMUBGWFFXIEYLD\ YOCZRB_UA_TBYSBXRCVQCUPDSODRNEPMEOLBKJ8H7PbBIUFCMq\ RVeKPUDJrz6eg9UPCO7oM6gL6_K6TJ6Lj8Ee7E`7Em7Em6Em6E\ mxmmqhmjdmc_mXWmQRmJNmCImgBm`CmVCmPDmIDmCEm8SmxOmq\ MmjLmcKmXJmQHmJGmCFmRSmOQmLOmJMmGLmDJmBHm8Fm2Wm3Rm\ 4Nm5Im5xm6nm6em6Wm6NmqLmjKmcJmXImQHzJGzCFzxmzngzea\ zXWzOQzFKzl1zXZzTWzPTzLQzHNzDKz9HzmIzmHzmHzmGzmGzm\ FzmFzmEzmzzmizmUzmozmhzmbzmXzmQmzKmzRmzOmzLmzJmzGm\ zmmzMmzJmzGmzWmzSmzOmzLmzHnz8YzBSz8PzANzBKzDFzmGza\ dzTWzZNzdFzjMzfTzc_z`fzYmzVtzS3zTIzNXzIkzCzz7VzOqz\ 9hzA_zCRzDbzZWzSPzLYzZnz` } 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=========================================