; Date: Wed, 17 Aug 2011 08:03:25 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 16-08-11 (A Midget in a Spot [8]) ; Id: <1.5.4.16.20110817080341.137fb228@pop.earthlink.net> ; --------- ; ; 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: ; ; ; ; A high definition version of the image may be viewed at: ; ; ; ; The venerable classic FOTD web site may be accessed at: ; ; ; ; 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|