; Date: Sun, 24 Dec 2006 00:07:23 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 24-12-06 (Squiggles [5]) ; Id: <1.5.4.16.20061224000935.29c74d7c@pop.mindspring.com> ; --------- ; ; FOTD -- December 24, 2006 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's average fractal image exists in the parent fractal that ; results when the formula Z^(2.003)+C is calculated 68 levels up ; the complex logatirhmic ladder. The image is located on the ; western shore of the south branch of Seahorse Valley. ; ; On the surface, the parent fractal resembles a normal everyday ; Mandelbrot set rotated 10 degrees. But deep down in the area ; of the negative X-axis some strange discontinuous things are ; happening. ; ; The unusual effects are due entirely to the discontinuities in ; the everyday iteration bands of the image. No special methods ; were used to create them. ; ; I named the image "Squiggles" on a whim. The squiggliness in ; the actual image is rather vague. The average rating of a 5 ; goes perfectly with such an average image. ; ; The render time of 8-1/4 minutes on my tired old computer is a ; bit show, but calculating the image with the passes set to 'g' ; will knock a minute or so off the render time. And if all else ; fails, the image may be viewed on the FOTD web site at: ; ; ; ; The rain ended at daybreak and the sun appeared at noon here at ; New Fractal Central on Saturday. The temperature reached 52F ; 16C during the afternoon, but the fractal cats were more interes- ; ted in the decorated tree than the weather. They didn't forget ; the tree until their evening treats were served. My day was ; plenty busy with holiday things. The next FOTD will appear in ; 24 hours. Until then, take care, and be lively. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Squiggles { ; time=0:08:14.39--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.81500031903966940/+0.000308123039507\ 28/6.170118e+008/1/100/-7.53289878361457221e-006 params=2.003/0/68/0 float=y maxiter=12000 inside=0 logmap=189 periodicity=10 colors=000JWlGYoD_sAav7byDeqIgjOjbTlWYnPZgVZa`h7K9\ Zw3057Tm6Nc4HU3BK15ACX16G0LmHIeEFZCCS99L76E4372Uir\ FNR93D72B629517315203101nJIlXbWMQGBDr_2RI1QaKJSFDJ\ A695c9c7FBJ7pG6hD5`A4U83M52F217ot9hl7be6WZ5QS4JL3D\ E2671PkRKcMGWICOD8G9484T6XP5SL4OI3KE3GA2C718304t0s\ S0SEhKCaHAWE8PB6J84C5262dPPZLLUIIPFFKCCF99A665330i\ g0YX0NM0BBhooqm`_XOIGC4iw3_k2R_1IO09CZCTH6EC3gA2a9\ 2X71R61M41G30B105`h9T_7MR5EI3791yj`l`T`SMOIEC97lpp\ WZZGHH_vISjELZAEN77B3Tm8JX59G2_cGRUCIK89A4`7LT5GM4\ CE287149H_6BO35Cxsookgfc`YWTQOMHGE887QbkcYRKHDmRyX\ IdG9KQLALH8HE6DA5873431hp4MQ2ZWqTQhNU_HURBUI5U9CUt\ AZk8cc6hW5mO3rG1v8Pz4Lz3Iz3Fz2Cz29z16z13z0lzkbzaTz\ SJzJ9z9Pz3Kz2Gz2Cz18z14z0LzvAzT1zp0zZ0zHKzMHzJFzGC\ zDAzB7z85z52z2zzVnzNczIUzDKz9Az4SzUtzgjz_azTSzMJzE\ 9z7Nz5Iz4Dz39z24z1BzT8zL5zE2z77z6GzMDzIAzE8zB5z72z\ 31zX0zS0zN0zI0zE0z90z4Szu } 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|