FOTD -- November 21, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal takes us onward to the marksjulia formula. I had a bit of a problem with this formula, which draws Julia sets identical to those drawn by the classic Z^2+C formula. As far as I could tell, the extra parameter does nothing more than multiply the number of lobes of the Mandelbrot version and change the size of the Julia sets drawn by the Julia version. I was unable to find anything that could not have been created more simply by the more simple julia and mandel formulas. To find today's image, I set the parameter to 4 and checked the Julia sets associated with one of the four resulting Seahorse Valleys. To avoid too obvious a repetition of an image that could just as easily have been done by the julia formula, I rendered today's image with the inside set to 'zmag' and the outside set to the color 001. The resulting image, though obviously a Seahorse Valley Julia set, is different enough to qualify as FOTD for November 21. In fact, it is different enough to rate a 7. When adjusted for the render time of 3 minutes, the rating gives an overall worth of 228. The image reminds me of a fancy Christmas tree ornament, so I named it "Seasonal Ornament." The way to see the ornament is to run the included parameter file or to download the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and occasional sprinkles here at Fractal Central on Saturday kept the fractal cats indoors. The temperature of 59F 15C was mild enough, but the cats prefer their paws and whiskers dry when they explore the yard. Their day ended with a treat of tuna. Today is starting cloudy and damp, but a clearing is on the way. (according to the experts) I hope it arrives in time to give the duo an hour or two of outdoor comfort. With little to do but TV and fractals, my day promises to be good enough. Check back here tomorrow for the next FOTD. Until then, take care, and fractals don't have a ghost of a chance if there is no screen. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Seasonal_Ornament { ; time=0:03:04.43--SF5 on a P200 reset=2004 type=marksjulia center-mag=0/0/0.850340\ 1/1/-10/3.88578058618804789e-016 params=0.65873435\ 84704123/0.6573484715109714/4 float=y maxiter=1010 bailout=10000 inside=zmag outside=1 logmap=yes periodicity=10 colors=000000ZNRYLUXKXVI`UGcTEfSDiQBmP9pO7sN6vVEmb\ LdjTWq_No`On`PlaQkaQiaRhbSfbSebTccUbcU`dV_dWYdWXeX\ VeYUeYWgXXhXYiWZjW_kV`lVamUbnUcoTdpTeqSfrSgsSdrW`p\ ZYnbUleRkhUldWm`YnY`nUboRdpNfqKiqGkrDms9os6qlEsfLu\ `SwU_yOfzImzCtzGpzKlzOhzSdyW`y_XxcTxgPwkLwoHvsDvtA\ rqBnlCkhCgbDcXE`SEXRFTQGQPGROFRNFSMFSLFTKFTKFTKFUM\ FUNFVPFVRFWSFWUFWVFUZDSbCRfAPj9Nn7Mq6QnATkDWhHZeKa\ bOd_RgXUkUYnR`qOdtLgwIkzFnzCqxDjsEcnEYpGWqHUrISsJQ\ qMOoPNmSMkVLiYKg`JecIcfHaiG_lFYoEWrDUtCWrEYpF_oHam\ IclJdjLfiMhgNjePldQmbSoaTq_UsZWuXXvWYogmirzentbjl_\ fdXbXUZPKwPRqOYlNdfMkaLrWKyRJzMJzPMySOuURrXTnZWkaY\ hc_g`bfYesVzUvqUvpVwpVxpWxoWyoXzoXzoWxpVwpUvpUupTt\ pSrpRqpRppQopPnpPmpOkpNjpMipMhpLgpKfpJdpJcpIbpHapH\ `pG_pFZpEYpEXpDWpCVpCUpDWoEXnEZnF_mFamGclGdlHfkIhj\ IijJkiJmiKnhKphLrgLsgKofKleKieKfdKcdK`cKYcKVbJSbJP\ aJMaJJ`JG`JD_JA_J7ZJ4Z000 } END PARAMETER FILE=========================================