FOTD -- February 17, 2005 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us one final time to the parent fractal that is based on variations of the real cube-root of -2. The visit has most certainly been productive, but the time has come to move on to new vistas. I named today's image "Fractal Pyrotechnics". The gaudy and perhaps overly intense colors remind me of a display of fire- works. The scene is located very near that of yesterday's image, though it is not 'evaporated', and lies not quite so deep in the parent valley. The rating of an 8 seems appropriate for such a brilliant scene. This rating might be a bit exaggerated, but I also might have a tendency to under-rate my images, so the rating of an 8 will remain. To assure that the image renders at the correct magnitude, I have inserted the mathtolerance entry into the parameter file. This entry forces the program to continue calculating even beyond the limit of total precision, but it must be cleared from the en- vironment to enable the program to switch to arbitrary precision math when this is available and needed. The render time of 33 minutes is a bit on the slow side, but the wait may be avoided by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The time for the next installment of philosophy, when one of two extremes could happen, is but a few days off. At that time, depending on the opinion of the reader, either the secrets of the universe will be revealed, or I will show myself to be totally mistaken. It is most unlikely that I will solve a puzzle which, for thousands of years, men greater than myself have been unable to solve. It is equally unlikely that every thing I say will be totally incorrect. The best I can hope for is that those who claim I am mistaken will point out and correct my mistakes, and not simply disagree because my opinion conflicts with their world-view. The outcome will be, as it always is, a continuation of the puzzle, but it's still fun to speculate, and I excel at speculation, so don't go anywhere. Wednesday morning was sunny and warm, with a temperature of 63F 17C, but clouds moved in shortly after noon and a rain squall struck an hour later, dropping the temperature to 48F 9C. An extra treat of tuna was needed to ease the fractal cats' disap- pointment. Today is starting with hazy sun and midwinter cold. The duo seems doomed to more disappointment. For me it looks like the usual day coming up, meaning finish the commercial work and see what waits in fractal land. It's a good thing I got my life long ago. I have no idea where I could find one now that fractals have arrived. I have no idea where I'll find the next FOTD image either, but for some reason, the images always seem to be there when I go searching. Until the next FOTD appears in 24 hours, take care, and be happy when the day's work is finished. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= FractalPyrotecnics { ; time=0:09:29.58--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.84091441329794800/+0.036284968899841\ 80/2.576231e+012/1/-7.5/0 params=-5/-1.26/-0.5/\ -12.6/0/525 float=y maxiter=2500 inside=0 logmap=689 periodicity=10 mathtolerance=/1 colors=000a5ca5ab5_c6Yc6Wd6Ud6Sf9RgCRhERiHRjJRkMRl\ ORnRQoUQpWQqZQr`QscQteQqfSofTmfUjfVhfWffXdfYafZ_f_\ Yh`VfaThbRfcPhdNgfMggLghKfiJgjIekHhmGdnFfoRbmDdqV`\ lBas`XlQYofSmdUljLgjMdiH`hOThBTg9Hf7Bd25b6A_6EZ7IT\ 7MW8QS8US8ZR9bR9fQAjQEmPArPIrOQtONoNOmNNkNMfNOfFK`\ 7S`BNYEVYHTYLZYOZYRaYVcYUcY`dYUbYgbYT_Y``XRXWIRWTU\ V09V`RXJBZeR`aDboLdtEfwR`uPWv`Rv_MwhHwjCxo7xo2vr3u\ q3tu3ru3qu4pu4nu4mu4lu4ir4gq4em4cl4ah4Zf4Xb4V`4TY4\ RW4OT4MQ4KO4IL4GJ4QIVZHu_Is_Jq`Kp`LnaMmaNkaOibPhbQ\ fcRecSccTbbYdaae`ef`ig_mhZqiZrjVqbRpWOoOKnHHmAGl9F\ k8Ej8Di7Ch6Bg6Af59e48d47c36b25a24`14_17Z4AY7CWAFUC\ HSFKQIMPLPSNRVQUYTUYWWZVX_UZ`T_aS`aRbbQccPedPfdOgc\ NicMjcLlcKmdJndJreGveDxeFyeByQ7yB3pTShjpehlbgi`feY\ ebVd_TcWQbTOaPL`MI_JGZFDYC4P2BX9HdGNlNZrUTsUNsUItU\ CtU7tU8sT9sTAsTBrSCrSDrSErSEqRFqRGqRHqRIpQJpQKpQIs\ OKtQLuRNvTOwUQxUSyUUzUWzU } 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=========================================