FOTD -- September 06, 2006 (Rating 8) Fractal visionaries and enthusiasts: Today's final visit to Seahorse Valley is a bit overwhelming, showing both the familiar Julia set and Seahorse Valley itself in the same image. The outer shell of the fractal is the Julia set of Seahorse Valley, while the interior stuff is the valley itself, grossly enlarged and seen from an angle which is double- rotated less than 1 degree from the Julia direction. The two branches of Seahorse Valley can be plainly seen converging on the center of the image. Don't try to visualize how it can be this way. It's the path to mental congestion. Even a four-dimensional student studying four-dimensional geometry would have trouble with it. The enlarged and distorted view of the valley involves hyperangles with two independent arc measurements between planes that inter- sect in a single point. It's hard enough to visualize a hyper- sphere, much less the whole convoluted Julibrot. I rated the image at an 8. In my opinion, it's worth it. The colors were pretty much a happy accident, but being the creating fractalist, I can take any credit. (As well as some occasional blame.) The name "Julibrot View" is a simple description. The render time of 28 minutes with passes=t may be cut in half by calculat- ing the parameter file with passes=g, but the price is the loss of some detail. The passes=b option finishes in 1 second, but misses the entire image. The passes=1 option captures every last speck of detail, but takes over an hour to do it. The passes=t version has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be conveniently downloaded. Heavy clouds and occasional light rain did not concern the new fractal cats, who glanced out the window once or twice between bouts of play. When they finished their evening treats of tuna and cheese, I told them that they will soon be world famous with their pictures posted on the FOTD web site. They continued to wash their faces. With the work still up to date, I was not concerned either. But the potential still exists for a rush job to come in around Thursday. The next FOTD will appear in 24 hours, and will take us to East Valley to check the elephants that live there. Until then, take care, and be fondly optimistic. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Julibrot_View { ; time=0:27:58.47--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=0/0/0.85918 params=90.642/90.608/90.945/90.346/-0.75/0/0/0 float=y maxiter=100000 inside=0 passes=t logmap=yes periodicity=10 colors=00057h67f77d87b97`A7ZB7YC7XDCWFHXGMYGRaGWeG\ _hGdlGhoIgpJfqKeqLerLdrLcsMcsMbtMauNauN`vN_vO_wOZw\ OYxOYxR_vTauVbsXdrZfqagocinejmglkinjlohnqgpsfrtdtv\ cvwbrrdnnfjjhffibbk_YmWUoSQpOMrKItHEuYFenGQ_OVLV_O\ T`RR`UP`XOa_MabKaeJahHbkFbnDbqCctAcw8cx7cvBfsFipIk\ mMnjQqgTshRphPnhOlhMjiLgiJeiIciGajFZjDXjCVjATj9RhA\ PfAOdBMcBLaCK_CIZCHXDGVDETEDSECQFAOF9NF8PJCRMGTPKV\ SOXVSZYW``_bccdfgfikhlojoslrwnuzowzqvzruzstztrzupz\ vozwmztkzrhypdxn`vlXtiUsgQqeMocJnaFl_CkaIibNhcSfdX\ efbcggbhl`iq_jvZcqXYlUSgSUcTV`UWYVYVWZSX_PX`MYbJZc\ G_dD`eA`USjJhsNgmRfhVebZdYbcTfbNjaInaDYcLIeTLhRNjP\ QjNSjLVjKXjI_lGapEctD_rJWqPTpVPo`LnfImkKkiMihOgfQe\ eSccUabW_`YY__WYmLOaUXcSVeQUgOSiMRkKPkzqlznlwllsjl\ phllflidlfbmb_m_YmWWmTUmPSmMQxb_xYXwTUrORdHxfIrgIm\ hIhjJbkJYlJT9ofUmX`lUbhZcecebhfZmhWriTwkPzlMzqzzpx\ zoqzojzncznXzmQzSmzIezH`z } frm:SliceJulibrot2 {; draws most 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================