FOTD -- April 01, 2004 (Rating 7) Fractal visionaries and enthusiasts: Yesterday's image reminds me of an extinct prehistoric creature crawling on the floor of some ancient sea. On the surface, the image shows no signs that it might hold minibrots, but in the world of fractals, things often are not as they first appear. Look closely at the northeast extremity of yesterday's image, and two tiny tails will be found that appear different from the rest of the figure. Such 'different' areas are places where the more interesting and unusual midgets are most likely to be found. When one of the 'tails' is enlarged to fill the screen, places with two-way symmetry that lie in it become visible. Two-way symmetry often means that a midget is lurking invisibly at the center of symmetry. Today's scene lies in one of the tiny tails of yesterday's image. The overall character of the feature that appeared in yester- day's image is quite well reflected in the pattern surrounding the midget at the center of today's image. The eight straight bars immediately surrounding the midget are filled with far more detail than is visible in today's view. They are well worth a closer look, if over two hours is not too long a time to wait for that closer image to finish. I named today's image "Historical Midget" because it is located in a larger image named "Pre-Historical". I rated the image at a 7. The frustratingly slow render time holds the overall value to a similar 7. This slow render time may be avoided however by downloading the completed GIF image from Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I sent the image to Paul separately, so it should be posted as soon as this letter appears on the site. Heavy clouds, cool temperatures and light rain kept the dynamic duo indoors most all day Wednesday. They checked the outdoors once during the afternoon, but the rain wet their whiskers and the temperature of 48F 9C chilled their ears, and they were back inside in less than 5 minutes. A treat of tuna was definitely needed to restore their spirits. Today is starting with heavier rain; I assume the duo will have another frustrating day. For me it's work then play. Until tomorrow's FOTD, take care, and once you catch that runaway fractal, what will you do with it? Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Historical_Midget { ; time=1:37:32.90--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-5.05379463172109000/-0.034860595256326\ 77/1.699752e+010/1/30/0.000271903463149959779 params=1.03/1.6/0.0001/100/0.1/0 float=y maxiter=12000 inside=0 logmap=2026 periodicity=10 colors=000IILJKNKMPLOQMQVNS_OUdPWiQYnR_sS`wTaxUbyV\ czWdzXezSfzNgzIhzEjzGgzIewJbrL_mNWkOTiQRgSNeTJcVGa\ XD_YAYXBWWCUVDSVDQUEOTFMSGKSGIUFGWEEXGC_IAaKAcMBdO\ DfQEhSGkUIoWJrYLu_NxaOzcQzeRzdQzcQxbPu_PrWOpUOmVNk\ ZNjcMigMhkLhoLflJdiIbgH`dFZaEX_DVXBTUASS9M_6Gf3Am0\ Ck3Ei5Fg8HeAIcDKaFL_INYKOWNQUPRSSTQUUOXWMZXK`YJbZJ\ dZJe_Jg`Ih`IjaIkaImbHncHpcHqdHsdHtbLu`OuZRvXVvWYvU\ `wSdwQgxPjxNnxLqyJtyIwy6ivA`cDSLFUMHWMJYNLZNM`NObO\ QcOSeOUgPViPXjPZlQ`nQaoQcjNefKgbIiZFkVDmRAoN7qJ5sF\ 2tB0uHBvMLvRWwWew`oXQnURkSRiPSgNSdKSbIT`FTYDUWAUU8\ UR5VP3VN1VL6YOA_RFaTJcWNfYSh`Wjb_lednhhqjlsmquozzz\ zzzoswenzdkvchrbfobckaah`Zd_W`_UYZRUYPRXMNXJJWHGVE\ CVC9TGBRKCQODOSENWFL_GJcIIgJGkKmoLmsMmwNmuLmtKmsJm\ uImwHmxGfz_MzKNzKOzKPzKNzMLzPJzRIzTGzVEzXCz_Aza8zc\ 6ze5zgAzhFzhJzhOziTziXziazjfzjjzjizghzegzcfzaezZdz\ XczVczTbzQazO`zM_zKZzHYzF } 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 20.0 PAR-FORMULA FILE==================================