FOTD -- August 27, 2012 (Rating 5.5) Fractal visionaries and enthusiasts: Today's image rates only a 5-1/2. It is held down because it was created by rendering the scene with the 'decomp' option in effect. I consider this feature to be more of a gimmick than a true way of displaying the things numbers do when repeatedly iterated. The parent fractal was created when I combined 6 negative parts of Z^(-1.6) with 1.6 negative parts of Z^(-6) and added (1/C) on each iteration. This parent is a north-south chain of four large bays, with today's image on the western shore line of the southernmost bay. The name "Butterfly Apparition" came about when something in the image reminded me of the butterflies that frequent FL's garden. The calculation time of 50 seconds will pass in a flash, making the mediocre image a bigger bargain than first appears. To see today's fractal wonder without the need of calculating it, check the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The hi-def rendering is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And the back images are posted at: <http://www.Nahee.com/FOTD/> Partly cloudy skies and a temperature of 86F 30C made today a pleasant experience here at Fractal Central. The fractal cats, after chasing away all unwanted stray cats in the morning, had a relaxing afternoon. The humans, beset by minor everyday tasks, had a nondescript day. The next FOTD will be posted in 24 hours, more or less. Until then, take care, and I heard on the radio today that God is a Democrat. Funny, I thought He was a Republican. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= ButterflyAppariton { ; time=0:00:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.3555098124098118/-1.390142792952676/\ 2.724548e+009/1/76/0 params=-6/-1.6/-1.6/-6/0/0/0/0 float=y maxiter=5000 inside=0 outside=tdis decomp=256 periodicity=6 colors=000QYWRXYTVZUU`VTaXRbYQd_Oe`NgbMhcKieJkfIlg\ GniFokHpnKrqPstVuwavzgwwgxt`yqVwpPvoKunHtmDrlFqkHp\ jIoiKmhLlgNkfPjeQidSgcTfbVeaXd`Yb__aZ``Yb_`aWZbXYb\ YXcZWcZVd_Ud`Te`SeaRfbQfbPgcOgdNhdLheKifJigIjgHjhG\ kiFkiElkDmnCnqBotApwAsz9pw9nt9kq8in8fk8dh7bf7`e7Yd\ 7Wb6Ua6S`6Q_5OZ5MX5KW5HV4FU4DT4BQ39O37M35K10G33I45\ K57N79P8CR9EUBGVCIWDKYFNZGP`HRaJTbKVdLYeN_fOahPciR\ ekShlTjmVloWnpWqtXpqXpnYokYohZoeZnb_n__mX`mU`pX`oV\ `nU`mS`lR`kQ`jO`iN`hL`gK`fJ`eH`dG`cF`bD`aC``A`_9`Z\ 8`Y6`X5_T0`V2`W4aX6aY7aZ9b`BbaDcbEccGcdIdfKdgLehNe\ iPgiTfjSejRejQdjQdjPcjObjNbjNakMakL`kL_kK_kJZkIZkI\ YkHXlGXlGWlFWlEVlDUlDUlCTlBTmBSmARm9Rm8Qm8Qm7Pm6Rs\ 5Qq6Qo6Pm6Pk6Pi6Og6Oe6Nc7Na7N_7MY7MW7LU7LS7LQ8KO8K\ M8JK8JI8JG8IE8IC9HA9H89H69G49G29I03H15G17G19F1BF2C\ E2ED2GD2IC3KC3LB3NB3PA4R94T94U84W85Y75_65a65b56d56\ f46h10e22gJdPKcRLaSN`UOZV } frm:MandAutoCritInZ {; 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)+(p4)), 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=========================================