FOTD -- May 30, 2010 (Rating 8) Fractal visionaries and enthusiasts: The one-and-only reference-standard Mandelbrot set is created by the expression Z^2+C. Minibrots however are another story. They come in all sizes and shapes, sometimes so distorted that the Mandelbrot aspect is all but invisible. It is much less common to see a parent Mandeloid suffer such extreme distortion, but today's image, which is the parent fractal itself, is in a state of true agony. Today's image obviously has Mandelbrot characteristics, but it is quite difficult to recognize the parts of what was once a fully-formed M-set. Actually, to better fit the fractal onto the screen the entire image has been rotated 90 degrees, so that west is up and east is south. In this orientation, the main bay is the open area at bottom center of the frame. It resembles the bulb of an ear syringe. East Valley is the tiny dimple on the shore line at the bottom center of this bulb. Minibrots certainly lie in this area, though I have not yet checked their appearance. The two large bays, sprouting like Mickey Mouse's ears from the main bay are the large bud that in the true M-set lies on the negative X-axis. The bud has split into two separate buds. The narrow valley, which shoots straight up the center of the screen from the main bay, like the stem of the syringe, is something entirely new, which has no corresponding part in the true M-set. It is in this stem that the most interesting minibrots will be found, but that's a story for another FOTD. The fractal also has two separate Seahorse Valleys, located in the brilliant white area where the mouse ears join the main bay. Any minibrots in this area could be quite interesting also, but if they are actually there, they will be quite slow to calculate. The calculation time is only 23 seconds because the image has such a low magnitude. The rating of an 8 includes a generous reward for my coloring effort, which was still not quite totally successful in hiding the iteration bands but did give a pock- marked appearance to the image. The name "M-set Gone Wild" describes the image. It has nothing to do with the behavior of college kids on spring break. And as always, the finished image is posted in its full glory on the FOTD web site at: <http://www.Nahee.com/FOTD/> where it may be viewed and studied at leisure. Clearing skies and a temperature of 82F 28C graced both Fractal Central and the fractal cats on Saturday. I was graced by a day off and a worthy fractal, while FL was graced by the best show of roses I have ever seen her produce. The next FOTD will be posted in 24 hours. Until then, take care, think logically, but realize that the universe does not necessarily run by our particular rules of logic. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= M-set_Gone_Wild { ; time=0:00:23.58-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip logmap=3 center-mag=-19.2404/0/0.042/1/-90/0 params=1.01/-1\ /6000/0 float=y maxiter=1500 inside=0 periodicity=6 colors=000000JCHKDI000MFKNGLOHMPINQJOPKOSLQQKPTNSR\ LQUPUSMRVRVTNSWRXUOUXSZVPWXT_WQYYTaXR_ZUcYSa_VdZTc\ `Vf_UeaWh`VgaXiaWibXkbXkcYmcYmdZndZoeZpe_qf_rg_sf`\ sg`tg`uh`vhawhavhawhawgawgbwgbwfbwfbwfcwecwecwedwd\ dwddwcdwcewcewbewbewbfwafwafwagw`gw`gx_gx_hx_hxZix\ ZixZixYixYjxYjxXkxXjxWkxWkxWlxVkxVlxVlxUlxUlxUlxTm\ yTlzTmzSkzSlzRkzRkzRjzQjzQjzQizPizPhzPhzOhzOgzOgzN\ fzNfzNezMezMezMdzLdzLczLczKczKbzKbzJazJazIbzJazK`z\ K`zK_zKZzKZzKYzKXzKXzKWzKWzKVzKUzKUzKTzKSzKTzKUzKV\ zKWzKXzKYzKZzK_zL`zMazNbzOczPdzQezRfzSgzTgzUhzVhzW\ izXkzYlyZly_ly`mybnycnydnyenyfnygnyhoziozjozkozlpz\ mpznqzorzoszptzqtzruzsvztwzuxzvyzwzzxzzyzzzzzzzzzz\ zzzzzzzzzzyzzxzzwzzvzzuzztzzsyzsyzsyztxztxztxztwzt\ wztwzuvzuvzvvzwuzwuzxuzxtzutzrtzoszlszjszgrzdrzarz\ ZqzXqzUqzRpzOpzMpzNozOozOozPozPnzQnzQnzRnzRmzSmzSm\ zTmzTmzTmzUmzUmzUmzUmzUmz } 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=========================================