FOTD -- December 30, 2014 (Rating A-5,M-5) Fractal visionaries and enthusiasts: !!!Today's formula is new.!!! The FOTD is being posted ever more infrequently. The reason is that I am becoming ever more disgusted with the social situation in this country, where it no longer matters what the facts might be, if such a thing as the actual facts even exists, and the only thing that matters is what side a person is on. Today's perfectly average image is a new kind of object I recently found in the Z^2+C Julibrot. It lies somewhere in the East Valley of the large minibrot on the main spike of the Mandelbrot set. Its exact location and orientation is as much a mystery to me as it is to anyone else. The name "Hidden Yugen" describes what I feel as I view the image. Yugen is an emotional feeling of beauty implied but hidden. The feeling is widely known in the Japanese culture, but basically unknown in our western culture. The calculation time of 4-2/3 minutes is a bit slow, but this problem can be remedied by checking the web sites. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A typical Central Pennsylvania winter day prevailed here at Fractal Central today. Typical conditions are partly cloudy skies with temperatures hovering around the freezing mark. Both the cats and humans had a typical day. The next FOTD will be posted sometime in the future. Until whenever, take care. Jim (it's madness) Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Hidden_Yugen { ; time=0:04:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrotSqr passes=1 center-mag=-0.00168479496143695/-0.389339703255400\ 20/1.305063e+009/0.1237/92.5819455859767828/-76.63\ 06082215386368 params=45/0/90/90/-1.75/0/0/0/0/0 float=y maxiter=125000 inside=0 periodicity=6 colors=000J`gJ`hK_fL_eM_dM_cN_aO_`O__P_ZQYXRXWRWVS\ VUTUSTTRUSQVRPVROTUQRWSPZUO`WMaYKdZIe`HhbFidDkfCmh\ Ani8qk6rm5so3uq1vs0wt5usAsrFrrKpqPnpUmpZkobjoelnhn\ mjplmrkosjruitwhwygyzfwxdvvbtt`srZqpXpnVnlTmjRkhPj\ fNhdMgbKe`IdZGbXEaVC_TAZR8XP6WN4VM33`E6aG9bICcKEcM\ HdOKeQMfSPfTSgVUhXXhZMFZRE_WDa`CbeAdj9eo8gt7huAjuC\ luEnuGpuIroFgjCYd9O_AEWCITEMQGPOIQMKUKMXIO_HQbGSeF\ UfEWfDYeC_dBacAcb9ea8g`7i_6kZ6mY5oX4pY4pZ5r_5s`6t`\ 6ua7vb7wb8xc8ycKLkOMlRMlUMlXMl_MmbMmfNmiNmlNnoNnrN\ nuNnqMkmLijKffJdcJb_I_XHYTGVQFTMFRJEOFDMCCJ8BH5BFv\ ZBqVKlSShO_cLgZHoVEwRBhN8VJ5GF32B6E89P5C_2Fj5Hd8J_\ AKVDMQGOLIPGMjjPkdSl_UmVXmQ_nLaoGdpBfp6ZmDSkKLhQEf\ X7cc0ai9bdIc`RdX_eShfOqgKyhGsbKmXOgSSaMWWG_RBcUDfX\ EhZGkaHmdJpfKriMulNwnOyhMtcKpZIlUGgPEcKC_FAVA8R56N\ 04JBDHLLGVTEd`DnhBxpAunBrmBokBmjBjiBggCdfCbdC_cCXb\ CU`DS_DPYDMXDKWDMYHO_KPaN } frm:SliceJulibrotSqr {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z*z+c |z|< esc } END PARAMETER FILE=========================================