FOTD -- September 26, 2012 (Rating 8) Fractal visionaries and enthusiasts: Today we ramble into the fractal world that appears when the Mandelbrot set is corrupted by 4.5 negative units of Z^(4.5)+C energies. This parent fractal resembles the parents of the past several days' images, and the image is located in the same tiny east-central bud. But, unlike the situation with straight Z^(n)+C fractals, in today's situation the fractal interest seems to increase as the exponent is raised. I named the image "Double-Take" because it is filled with twin pairs of Z^(4.5) minibrots. The rating of an 8 shows that I consider the image to be a rather good one, at least as far as the underlying forms go. I might have raised the worth to 8-1/2 or so if the brilliant green color palette had not been almost totally created with a stroke of the <enter> key. The calculation time of 30 seconds, like the times of all the recent images, is a rounded approximation. On some machines the parameter file will run faster; on others it will run notably slower. Luckily, the finished image is available on the FOTD web sites, where all uncertainty is eliminated. The image is posted, already calculated, on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition rendering is online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Thousands of FOTD back images and discussions are available at: <http://www.Nahee.com/FOTD/> Clouds were the thing of the day here at Fractal Central today, with only a few peeks of sun. Rain showers simply added to the confusion. The temperature of 70F 21C was pleasant enough . . . as long as the changeable weather was observed from indoors, that is. The fractal cats observed the conditions from their southwest window, complaining every so often about the lack of sun. The humans had another in a long string of everyday week-days. The next FOTD *will* be posted. That's all I can say right now about exactly when. Until whenever, take care, and I see that the dangers of cell- phone radiation are back in the news (on CNN at lunch time today). To read my comments about the dangers, check the FOTD discussions of about 10 years ago. BTW, it's now safe for the phone companies to let the risk of too much cell-phone use be widely known. Almost everyone under the age of 30 is now totally addicted to various wireless devices, which have become just another necessary part of modern day life, and regardless of the risk, they would never give them up. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Double-Take { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.4968959677020675/+0.0000000286553292\ /4.433267e+008/1/39/0 params=4.5/-4.5/0/0 float=y maxiter=1600 inside=0 logmap=49 periodicity=6 colors=0002596BC9GFCMIFRLDEDC26PD7`N8mY9ygAiX7VM50\ EIFB2jdPZUINKCBA69TF4E748o36b24Q12DiYpYPbNHQB8DeRc\ dOccLcdOYdQTdTOdVJdXEfZFh`FibFkdGlfGnhGojGqlHsnHtp\ HvrIwtIyvIzxIvtJrqJnnJjkKfhKceK_aLWZLSWLOTMKQMHNMQ\ INYDOf9On4Pv0Pu3St5Us7Wr9YrB_qDapFcoHeoJglHajFWhDR\ eBLc9Ga7A_65b59d4Dg4Hi3Ll2Pn2Tq1Xs0`u0dr3go6jl8miB\ ofDrcGu`IwaMvaPvaSubWubZtbatceschsckrdordrqduqbvm`\ vjZvfXvcVv_TvXRvTPvQNvMLvJJvFHvCGv9IpEKkIMcMOcRQcV\ ScZUcbWcgYck_co`csacracqacpacoacnacmbclbckbcjbcibc\ hbcgbcfZcbWcZTcVPcRMcNJcJGcFCcB9c76c33m08m6DmBImGN\ mLSmQXmVam_emdbmZ_mUXmPUmKRmFPmARmETzHVzLXzOYzR_zV\ azYczadzdfzghzkjznkzqhzrezsczt`zuZzvWzwUzwPzmKzcFz\ UBzLBzWBzeBzoDzkEzgGzcHz_JzXKzTMzPNzLOzIDzOIzIMzCR\ z6Vz0pzmlzjhzgjz`lzVnzOpzIozXozklznjzpgzsezuczvbzv\ azv_zkZz`YzQXzGVzKTzNRzQPzTYzRfzQozPjzSezV`zYWz_Vz\ kUzw_zdezNkz5gz8czARz9Ez9 } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================