FOTD -- February 20, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image takes us into the lowlands, the land of Z^(1.333) to be exact. We check the area 1333 levels up the complex- logarithmic hyper-ladder, where we find a distorted Mandeloid facing southwest. This Mandeloid is easily recognized as a distorted Mandelbrot set, but its straight main stem, pointing southsouthwest, has grown to an incredible length, terminating at a distance around 8 from the origin. Today's image lies well out on this stem. I named the image "Filamentary Chaos" because of the zig-zagging network of filaments all through it. I have not yet checked the tiny minibrot at the center, and probably never will, since I doubt that much of interest lies down there. The rating of a 7-1/2 indicates that I feel the image could have been improved with some more work, but due to an attack of laziness, I let it go as is. The calculation time of 1-1/2 minutes is reasonable; viewing the finished image on one of the web sites is more reasonable. Save time and maybe a little money by viewing the pre-calculated image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Then increase your pleasure by viewing it in the glories of high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD site may be accessed at: <http://www.Nahee.com/FOTD/> The day began with a few clouds here at Fractal Central, but by noon the clouds vanished, leading to a splendid afternoon of total sunshine, which brought out the best in the fractal cats. Nicholas set up shop on the new lamp table, which he has now made into a cat table, while Cassie curled up on the scratching post next to Nicholas. FL and I had a typical day. At lunch, we almost got involved in a discussion about the addictions plaguing western culture, but common sense ultimately prevailed and the subject changed to the weather. The next FOTD will be posted in 24 hours; most likely it will appear as scheduled. Until next time, take care, and don't even think of trying to list all the addictions afflicting our 'western' society. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Filamentary_Chaos { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 float=y center-mag=-1.776392325500523/-7.344818351189372\ /1.188619e+010/1/140/0 params=1.333/0/1333/0 maxiter=15000 inside=0 periodicity=6 colors=000lR_jTZhVZfWZdYYbZYa`Y_bXYcXWmcUmcSmcQmmO\ zzMzzLzzKzUJzzIzzHzUGzzFmUEmUDmUCmUBmUAlU9kU8iU7gU\ 6eU5cU4XU3RU0PW3KU6KT8KSBUREUPGUOJUNLUMOUKRUJTUIWU\ HZUF`UEcUDeUChUAkU9mU8pU7rU6cUGQUQSUSTUUVUVWUXXUYZ\ U__U`aUbbUccUeeUffUheUkgUiiUhjUglVfmYdo`cpbbreazh_\ zkZznYzqXzsWzpXznXzlXziYzgYzeYtcZt`ZsaZsb_rc_qd_qe\ `pf`pg`ohanianjamkbmlblmbznbhoZepWaqTZrPVsMStJOuFL\ vCHw9Ex6ayWyztuzqrzoozmlzkhziezgbze_zcWzaTz_QzYNzW\ JzUGzSDzQAzO5zI7zM8zQ9zU7zWAzXDzXGzXIzXLzYOzYRzYTz\ YWzZZzZazZgzYczZ_zZWz_TzlTz_QzWOzTMzPKzMHzLFzLDzKB\ zK9zK7zJ5zJ3zJ7zIBzIFzIJzINzIRzHVzHZzHXzRazMezIL80\ 900C00F00I00L20O40R60U80VB0YD0_F0aI0dK0eQ0fO0hV0kX\ 0lZ0m`0nb0od0pf0qh0rj0sl0tn1up2vr1wt1ur2sp2qn3ol3m\ j4kh4if5gd5eb5c`6aZ6_X7YV7WT8UR8SP8QN9OL9MJAKHAIFB\ GDBB9AECBGECIGCKIDMKDOMEQOFSQKUSPWUUYWZ_Yca_hcamec\ rh`wjYzlVznSzpPzrMzpOmnQd } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(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=========================================