; Date: Fri, 24 Jan 2003 10:59:18 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 24-01-03 (Without Reason [7]) ; Id: <1.5.4.16.20030124110214.0d379abe@pop.mindspring.com> ; --------- ; FOTD -- January 24, 2003 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Having checked the Fractal Central e-mail box and actually read ; 3 of 53 pieces of junk, I wonder why so many spammers waste ; their time telling me that I am receiving the information I ; requested, when I have requested nothing, or pretending that ; they are secret admirers, or that I have been approved for ; something I do not want, or that I have signed up to receive ; such junk, when only a fool would sign up to receive spam. And ; if I have requested information or signed up to receive spam, ; why don't I remember doing it? Why must the spammers tell me ; something I should already know? ; ; But it is not all bad. Those computerized pseudo-personalized ; letters are particularly amusing. I always get a chuckle when I ; read something like, "hey jamth, you have been specially ; selected to receive a free password." Maybe I should create a ; new e-mail address with a particularly offensive name such as ; "stupidpigeon@******.com". Then the subject lines would read, ; "hey stupidpigeon, you can get rich quick." ; ; Why can't e-mailers just be honest and say something such as, ; "you are receiving this e-mail because your address was on a ; list of addresses we purchased"? If someone were to say this, ; and the product was worthwhile, I might actually consider doing ; business. But now, having sounded off about the spam, I have ; fractal business to attend to. ; ; I named today's image "Without Reason", though I can give no ; logical reason why I did it. It is another of my 'evaporated' ; images, showing the ghost of a fractal that once was there. I ; put a bit of extra energy into the coloring, which earns the ; image a rating of 7. ; ; Why do images evaporate when their generating formulae contain ; negative powers of Z? They do it because no points will reach ; infinity when the exponent of Z is negative. But the points ; will still jump around quite a bit within a limited range, and ; when the value of the bailout radius is reasonably low, they ; will temporarily pass beyond it, giving the program the signal ; that they have escaped permanently, and stopping calculation. ; ; When the bailout is excessive, no points will ever reach it in ; their travels, and will therefore be seen as trapped. The ; screen will appear flat, consisting entirely of trapped 'inside' ; points. The bof61 active inside fill option works quite well in ; today's image. It colors the trapped points according to which ; iteration comes closest to the origin, and therefore displays ; the wanderings of the trapped points. The resulting images can ; be quite impressive. ; ; The other active inside fills can also produce interesting ; images from a normally flat blank inside. The bof60 option ; colors trapped points according to how close they come to the ; origin, and produces bubble-like images. Many of the active ; inside fills have quirks that limit their usefulness, but they ; are all worth a try. ; ; Setting the logmap can be tricky with images that consist ; totally of inside points. One method is to bypass the problem ; by setting the logmap option to zero. Another method that works ; fairly well is to set the logmap to 1, create a totally black ; palette and give the 001 register a brilliant color. Then ; rotate the palette forward until the color first appears on the ; screen. When it does, note the number of the position where the ; colored register is located and set the logmap to this value. ; Unfortunately, this method fails when the colored register ; passes beyond position 128. ; ; The rating of 7 for today's image seems logical. It is above ; average, at least in my opinion. The render time of 12 minutes ; borders on the excessive. The download from: ; ; ; ; or from: ; ; ; ; is far more reasonable. ; ; Thursday was the coldest day in 5 years here at Fractal Central. ; And the snow showers and high winds didn't help at all. When ; the 14F -10C air touched the noses of the fractal cats, they ; turned around and headed straight for the warmest radiator they ; could find. They slept peacefully until the time arrived for ; their evening meal. There is not much cat action around F.C. in ; this kind of weather. It's a little warmer this morning, but ; still well below freezing. I suppose the duo will be housebound ; again today. ; ; Being housebound is my normal situation, but it most certainly ; does not mean idleness. Since the time for work has arrived, ; the time for the FOTD has come to an end. In 24 hours, the next ; FOTD will appear. Until then, take care, and be faithful to ; your fractals. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Without_Reason { ; time=0:12:16.44--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.686817713361516/-0.6536317292615328/\ 9.601575e+009/1/-132.5/-5.15785767828125241e-006 params=11/-1.2/4.3/-6/0/1e+100 float=y maxiter=1200 inside=bof61 logmap=128 periodicity=10 colors=000OGRUGWMGNJGJHFLGEMFEODDPCEQBGSAIT8JU7LW6\ MX4MY3M_4N`6Oa8PbAObCN`EM`GLYIKVJJSKIPLHMMGKNFKOEK\ PDKQCKRCKSDHUFHWHHYJH_KHaMHcOHeQHhRHmTHrVHwXHyYHz_\ HzaHzcHzdHzbKyaNx_PxZSxYUyWXyV_yTaySdyRfzPizOlzMnz\ LqzKsxNqvQptTorVnpYmn`llcjjeihhhfkgdlfcmeXo_RmVKkQ\ EiLHgJKeHNcFPaDS_BVY9YW7_W6RUCIUI9TNDSQGRSJQUNOWQP\ YTQ`WRb_TdbUfeVhhWjaYdWZ_Q_UJaPDbJ7cEFcFNcFVcGbcGe\ cKgcNicQkcUmcXoc_pcaqcbrccscdtbeuZfuVgvRhwNixJjyFk\ zBlz7mwBkuEirHgpKfnNdkRbiU`fX_d_YbbW_fUYeTVdRTcPRc\ OQcRQcUPcXPc_OcbObeN`hNYkMUnMSqLPtLMwLKzKMvJNsJOoI\ PlIRhHSeHTaGUZFVVFXSEYOEZLD_HD`EEXKEZ69X0DW4GV8JUB\ MUFQTITSMWSPZRTaQXeP_hPckOfnNjqNmoMlmLlkKljJlhIlfH\ leGlcFlaEk`DkZCkXBkWAkU9kS8kR7kS8eS9`SAVSAQSBKSCFS\ D9SD4XE7`E9eFBiFDmGFrGHvHJzHLrQKjZKbfKefJhgHkhFniD\ qjBsjAtgLudWubfsdcrf`qgYpiWojTnlQmmOloLkpIjrGisDhu\ Agv8doJahU_bdXWoeGfaGbYGZ } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE================================== ; ;