FOTD -- January 28, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: ANOTHER NEW FORMULA! THE 'SliceJulibrot6' FORMULA HAS BEEN RENAMED! I have renamed the 'SliceJulibrot6' formula 'JulibrotMulti'. I did this because it was pointed out that I previously wrote a formula named 'SliceJulibrot6'. I never did much with that old formula, but it might still be floating around, so to avoid confusion I have renamed the new formula. Today's image is an almost-Julia set of the eastern edge of the large minibrot on the main stem of its parent Mandelbrot set, which is infected with Z^5 energies in its depths. I call it an 'almost' Julia set because it is double rotated 1-1/2,1-1/2 degrees from the true Julia orientation. In images this close to the Julia orientation, a small rotation makes a big difference. The difference in today's image is the totally chaotic arrangement of filaments, which inspired the name "Hither and Yon", (come and go). Another difference is the existence of the two small near-perfect Z^5 minibrots, a rarity this close to the Julia orientation. The rating of a 7-1/2 implies that I felt some disappointment in the artistic aspect of the image, but also that it holds enough math interest to earn it FOTD status. The calculation time of a hyperfast 8 seconds will leave no chance for impatience to raise its jittery head. Another way to avoid impatience is to view the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> or to view it in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> The day turned out unexpctedly pleasant here at Fractal Central, with ample sun and a temperature of 48F +9C. The fractal cats spent most of the afternoon on their shelf in the southwest window, enjoying the sun. A brief rain shower passed over late in the afternoon, but by then the pleasant day was in the bag. The humans did what introverted humans do best -- thinking deep thoughts about nothing in particular. The next FOTD will be posted in 24 hours. Until then, take care, and sometimes it is possible to think deeply without knowing what you are thinking about. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Hither_and_Yon { ; time=0:00:08.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=JulibrotMulti function=recip float=y center-mag=-0.0830872/0/1.173709/1/-90/0 inside=0 params=5/6/88.5/0/88.5/0/-10.4/0/0/0 maxiter=1200 colors=0000000000000000000000100200300400500601712\ 823A35C56E6AI8DMAFQCITEKWGNZIPaKSdPUgUXlZZqccvhhzm\ pzzuzzzpzmjzcgzVdzTbzS_vQXrPVmNShMPcKNeJKhHHkGFmOk\ 4Pi5Pg6Qe7Qc8Qa9R`9RZARXBSVCSTDTSDTQETOFUMGUKHUJHK\ RBBY6G_7L`8Qb9VcAZeBcfChhDmiEqjEogHndKmbNl_QkYSiVV\ hTYgQ`fOceLecJhbGkaEn`Bq_9sXBqVDoSFmQGlNIjLKhIMfGN\ eDPcBRa8T_6UZ5W_5Y_5__4a`4c`4e`3fa3ha3ja2lb2nb2pb2\ qbIrYYrTVnUTkVRgWPdXN`XLYYJUZGR_EN`CK`AGa8Db69c46d\ 23d35e47e49f5Bf6Dg6Fg7Hh8Jh8Kh9Ne9QbAT_AWXAZVBaSBd\ PCgMCjJClHGjKJiMMhOQfRTeTWdV_bYba_e`ah_cg_ajUWlPQo\ KKqFEtA8v52lBNbGgaIZ`KR`MJ_OB_Q3aVAc_HiriedOgiVina\ kshdBeeIgfOhgUih_jiekjklkqmOOad6yIJt`iqblpdnpfpohs\ ojunK9eZZjPrtTssWtr_uqbupfvoiwnfZHgbMheQihUikYjnbk\ qfltj7CdEKfLShS_iZgkeompQzoZwnftmoq4gRGkXRobashp5I\ BdKGgOLiSQlWUn_ZpccsghukfGLgMPhRTiXXia_jgcklglrkPI\ 4`bSkNclVflahlijlplN5PWOY } frm:JulibrotMulti {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p2*0.0055555555555556), b=pi*imag(p2*0.0055555555555556), g=pi*real(p3*0.0055555555555556), d=pi*imag(p3*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), aa=-(real(p1)-2), bb=imag(p1)-0.0000000000000000001, c=p+flip(q)+p4, z=r+flip(s)+p5: z=z*z*fn1(z^(aa)+bb)+c |z|< 100000000 } END PARAMETER FILE=========================================