FOTD 12-10-05 (Purple at Midnight [5])
FOTD -- October 12, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's resurrected formula is named MytestAH. It is a very simple formula which combines positive and negative exponents of the same absolute value before adding C. Z is initialized at 1 because this is the critical point of functions of this type. The formula draws some very twisted Mandeloids, especially when complex or imaginary exponents are used. I think I used this formula to create interesting midgets before I developed the MandelbrotMix4 formula. In today's image the exponent has been set to 1.0001, a value which is surprisingly close to unity, yet still creates a fractal. I have not checked to see how much closer to unity the exponent value could be set before the fractal nature vanishes. I named today's image "Purple at Midnight". The name is based entirely on the deep purple color palette. And yes, a simple "Purple Midnight" would have been a more poetic name, but I wanted to be different. Actually, even the midnight effect is questionable, and could be missed entirely when viewed on overly bright monitors. The rating of a 5 seems about right for the image. The same effect is easily achievable with the M-Mix4 formula, and I have already posted several FOTD images that looked much the same as today's. Though today's formula does little that is really new, the old formula I have chosen for tomorrow's FOTD is one of the most surprising of all time. Be sure not to miss it. Today's image is quite a bit on the slow side, rendering as it does in 1 hour and 14 minutes. But relief is always nearby on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image has been or soon will be posted, ready for viewing. Heavy clouds, wet ground, occasional showers and a temperature of 63F 17C kept the fractal cats confined to the house all day Tuesday here at Fractal Central. But due to their excessive sleepiness, their complaints were at a minimum. Today is start- ing cloudy again. The ground is still very wet, so I doubt that things will be any better. I plan on a relaxing day. Unfortunately, my plans do not always work out. One thing near certain however is the appearance of the next FOTD in 24 hours. Until then, take care, and know that we have our being in a great fractal. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Purple_at_Midnight { ; time=1:14:09.12--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=MytestAH passes=1 center-mag=-0.10008703297023210/+0.095850930075443\ 39/1.950575e+008/1/175/-2.10031613975814047e-008 params=1.0001/0 float=y maxiter=150000 bailout=9 inside=0 outside=atan periodicity=10 colors=000agU`iV_kWZmWYoXXqYWsYVuZUw_Uy_Vx`Ww`WwaX\ vaXubYubYtbZtcZsc_rd_rd`qe`qeapebofbofcngcngdmhdlh\ elhekifkifjjgijgikhhkhhkgglgglggmggmgfmffnffnffnff\ ofeofeoeepeepeepedqedqddrddrdcrdcsdcsdcscctcbtcbtc\ bucbucbua`s`_rZZqYXpXWoVVnUUmTSlRRjQQiPOhNNgMMfKLe\ JJdIIcGHaFF`EE_CDZBCYAAX89W78V67U8AWADXCGYEJZGM`IP\ aKSbMVcOYdQ_fSbgUehWhiYkj_nlaqmctnewogypcwk_vfWuaT\ sYPrTLqOIoKEnFAmA7l68k79k89j9AjABjBBiCCiDDiEDhFEhF\ FhGFgHGgIHgJHfKIfLJfMJeNKeNLeOLdPMdQNdRNcSOcTPcUPb\ VQbVRbWRaXSaYTaZT`_U``V`aV_bW_cX_cXZdYZeZZfZYg_Yh`\ Yi`XjaXkbXkbWlcWmdWndVoeVpfVqfUrgUsgUshVrhVrhWqhWq\ hWqhXphXphYohYoiYoiZniZniZni_mi_mi`li`li`liakjakjb\ jjbjjbjjcijcijcijdhjdhjegkegkegkffkffkgekgekgekhdk\ hdkhdhfbfdadb`b`_`ZZZXYWWXUUWSSVQQUOOTMMSKKRHJQFHP\ DFOBDN9BM79L58K8AMABODDPFERIGSKHUMIWPKXRLZUN_WOaYP\ c`RdbSfeUggVi`L_cPcfSfiWj } frm:MytestAH {; Jim Muth z=1, c=pixel: z=z^p1+z^(-p1)+c, |z|<=100 } END PARAMETER FILE=========================================
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Jim Muth