FOTD -- August 08, 2012 (Rating 8) Fractal visionaries and enthusiasts: I have just realized that I have an old formula in the files with the name MandelbrotBC4. Please discard the formula I sent earlier with today's FOTD and use this version with the formula name changed to TrueMandelbrotBC. NEW FORMULA ALERT! -- I think this is the first time I have used the TrueMandelbrotBC formula for an FOTD image. The formula claims to be the most accurate way to create images using the many values of the complex logarithm function. Maybe it is; maybe not. Maybe there is no absolutely accurate way to find the alternate values. One thing for certain however is that, whether the new formula is mathematically accurate or not, it does draw interesting fractal images. In today's image the new formula calculates the Z^(1.195)+C Mandeloid 4.671 levels up the complex hyperladder to produce a Mandeloid that resembles a kidney bean with an immense, wandering filament extending from its northern edge. The minibrot in today's scene lies in a kink on this filament. With all the doomsday shows on TV, I thought that, with today's image, I might add my own little bit to the deluge of doom. Perhaps the most popular way the world might end is for an asteroid to strike the earth and send mankind the way of the dinosaurs. Today's image shows what might be a rogue asteroid tearing through the earth's atmosphere on its way to strike the surface and end life as we know it. I named the fiery red image "Asteroid Impact". The rating of an 8 might be a bit much for the image, which certainly is lurid enough if not an entirely new idea, but the incredibly brief calculation time of 20 seconds easily makes up for any short-coming. And of course, the finished image is always available on the web sites. The explosive finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> And in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> All the FOTD back images are available at: <http://www.Nahee.com/FOTD/> Today turned a little warmer and more humid here at Fractal Central, but remained within the range of midsummer comfort. The brilliant sun and temperature of 88F 31C were just what the fractal cats ordered; the humans were too distracted by work and world events to enjoy the conditions. The next FOTD will be posted close to on schedule. Until whenever, take care, and why doesn't somebody pass a law making crime illegal? Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Asteroid_Impact { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.par formulaname=TrueMandelbrotBC center-mag=-2.7295930\ 23664788/+9.289409131709448/74.45881/1/90/0 params=1.195/0/4.671/0 float=y maxiter=75000 inside=255 logmap=22 periodicity=6 colors=000900900B00C00E00G00K00M00O00U00U00X00_00Z\ 00b00e00b00f00h00g00i00j00j00k00k00l10l10m10m10o10\ o10p20p20q40q40r40r60s60s60t70u70v90v90w90xB0yB0zB\ 0zD0zD0zE1zE1zE1zG2zG2zG4zI4zK6zM6zO6zQ7zS7zU9zW9z\ YBz_Bza7zcBzcDzcEzcGzcHzcJzcMzcOzcPzcRzcSzcUzcXzcZ\ zc_zcazcbzcdzcezchzcjzckzcmzcnzcpzcrzctzcvzcwzcyzc\ zzczzczzczzczzczzczzczzczzezzgyzirzkkzmezm_zmYzmYz\ mXzmXzmVzmVzmRzmVzmYzmazmdzmgzmjzmmzmozmrzkmzmmznm\ zpmzqmzrmztmyvmzwmzymzymzymzymzymzymzzmzyzzyzzyzzy\ zzyzzzzzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyz\ zyzzyzzyzzyzzzzzyzzvzzrzzpzzkzzhzzezzbzzYzzVzzSzzP\ zzLzzHzzEzzBzz6zz2zz0zz0zz0zz2zz4zz4zz4zz4zz6zz6zz\ 6wz6tz7qz7pz7mz7kz7kz9kz9kz9kz9nzBqzBtzBwzBzzDzzDz\ zDzzDzzBzzDzzDzzDzzEzzEzzEzzEzzEzzEzzGzzGzzGzzGzzH\ zzHzzHzzHzzHzzJzzJzzJzzJzzJzzLzzLzzLzzLzzMzzMzzMzz\ MzzMzzOzzOzzOzzOzzOzzSszz } frm:TrueMandelbrotBC { ; Most accurate multi-valued complex logs e=p1, a=imag(p2)+100, p=real(p2)+PI, q=2*PI*trunc(p/(2*PI)), r=real(p2)-q, Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================