FOTD -- September 11, 2012 (Rating 8) Fractal visionaries and enthusiasts: Today's image shows our strange rectangle at an angle in the fourth dimension impossible to imagine. All I can say about the angle of the slice is that it is closest to the Rectangular orientation. At this strange angle, the rectangle is no longer rectangular. It has stretched into a tall trapezoid with what resembles a marshy pathway leading up to it. I named the image "Gateway to the Future", leaving it to the viewer to decide what might lie beyond. It might be total technological breakdown followed by a collapse of civilization, or it might be the elimination of military weapons and the coming together of all the peoples of earth into one peaceful and harmonious family. But to me it remains a mystery. Even though today's image shows just another aspect of the same rectangle and uses the same color palette, it is a very unique aspect, well worth the rating of an 8 that I have given it. The calculation time of 3-1/2 minutes is a fair price to pay for the image. Bargain hunters may save some time by checking one of the web sites. The basic finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> Fancier hi-def renderings are online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are available at: <http://www.Nahee.com/FOTD/> Another early hint of Autumn made itself felt here at Fractal Central today, when the sun rose with the temperature at 48F +9C. The rest of the day brought sun with only a few wispy clouds and a temperature of 75F 24C. To the humans, it appeared that the fractal cats spent the day considering the coming winter. The cats more likely spent the day considering getting an extra treat. The next FOTD will be posted when the proper time has passed. Until then, take care, be happy with your fractals, and don't worry about what might lie beyond the gateway. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= GatewayToTheFuture { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=+0.000000688\ 48264664/+0.00213981581517682/111.3773/58.786/180 params=82/85/0/90/-1.7435/0/0.000175/0.073883/\ 2.003/0 float=y maxiter=54000 inside=0 logmap=68 periodicity=6 colors=000KGiKIkKKmKMoIOqGPsEQuBQwDRvERuGSuHStJTuK\ TvLTwNUxOUyQVzRVzSVzUWzVWzXXzYXz_Yz`YzaYzc_zd`zfbz\ gcziezhezhdzgbzgazg_zfZzfZzeXzeWzeVzdUzdSzdRzcRzcQ\ zbPzbQzbSzaUzaWzaYxc_ve`tgaribpkcnmdmjehgfdeg_bhW`\ iSYjN_kJblEemAho6kqMnsaquVtwPwyJzzDwwKtuQqsknqWkoi\ hmwekubis_gqXeo_crRanI_k9`g0if1gd1eb2d`2bZ3aY3_W4Z\ U4XS5VQ5UP6SN6RL7PJ9RH7SI6NJ4JK0EL3KL5QL7QL9RLBRLD\ SLFSLHTLJULIVKHWJGZIFaHEdGEgFFfIGfKHfMHeOIeQJeSJeU\ KdXLdZLd`MdbNcdNcfOchPbkPbmQboRbqRasSauTawTayDczCc\ zCczCczCczBczBczBczBczAczmZzmZzmZzmZzmZzmZzmZzmZzm\ ZzmZzmYzmXzmWzmVzmUzmUzhPNkPOnPPpPPmOMmOKmNImNFmMD\ mMBmL8mL6mK4mK2mJ6mI9mHDmGGmFKmENmERmDUmCYmB`mAdm9\ gm6km9jmBimDimGhmIhzKgzMgzPfzRfzTezVezYdz_czaczdbz\ fbzhazjazm`zo`zq_zuZzs_zq_zo`zn`zl`zjaziazgbzebzdb\ zbcz`czZdzYdzWdzUezTezRfzPfzSfzRgzQizPjzNkzMmzLnzK\ ozIqzHrzGszDsK8aKAcKCeKEg } frm:SliceJulibrot4 {; 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^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================