April 2013 - Fractint - mailman.xmission.com

FOTD 03-04-13 (No Ifs Ands or Butts [8])
by Jim Muth 04 Apr '13

04 Apr '13

FOTD -- April 03, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a Julia set of the point where the positive X-axis crosses the eastern extremity of the main bay of the (-Z)^(2.5)+C Mandeloid. A kind of East Valley lies at this point, though it is too small to be seen without enlargement. I named the image "No Iffs Ands or Butts". I refuse to admit the inspiration for the name. At least a full point of the rating of an 8 is due to the coloring, which I put almost an hour into. The calculation time of 3-3/4 minutes borders on slowness. Relief may be found at one of the web sites however. The web site at: <http://www.crosscanpuzzles.com/Archives.html> is temporarily down, but the image will soon be posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds, with a temperature of 43F +6C and brisk winds made today feel unpleasantly cool here at Fractal Central. The fractal cat enjoyed the periods when the sun was out, while the humans tried to figure out why we cannot gain access to the FOTD-crosscan web site web site. The next FOTD will be posted soon. Until whenever, take care, and the environmentalists who protest against oil pipelines should be ready to set an example and stop consuming the oil that makes the pipelines necessary. If they are unwilling or unable to kick the oil habit themselves, they should remain silent and stop pushing for laws to force others to comply with their own particular ideas. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= NoIfsAnds_or_Butts { ; time=0:03:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 center-mag=-0.388106/0/1.04/1/90/0 params=90/0/90/\ 0/0.372582/0/0.372582/0/2.5/0 float=y maxiter=12000 inside=255 logmap=yes periodicity=6 colors=0006LS3KU0KW3KZ6La9MdCNfFNjKRhPUeUXbZeZcmWh\ uTmyWrzZvzdzzmzzzzzzzzzzmzzmzzmzzmzzkzziJzgKzeLzcM\ zcMzcQzcUzcXzc`zcdzcgzckzcozcrzcvzcyzcuzcqzcnzcjzc\ fzacz__zYWzWTzUPzSLzQIzPEzPAzP7zSAzVDzXFz_IzbKzdNv\ cQrcSmcVmcXmc_mcamcmmcmmcmVcmKcmKcmK_mKamKcmKamK_m\ KYmKWmKUmKSmKQmKOmLMmJJqIInHHkGGhFFfEEcDDZCCUB9PA5\ K90580A705000000000000KUKNkkNkkNkjMjjMjjMjjMijMijL\ ijLijLhjLhjKhjKgjKgjKgjMilLhkKgjJgiJfiIfhHegHefGdf\ FdeFcdEccDbcDbbCaaB``B``A__9_Z9ZY8ZY7YX7YW6XV5XV5W\ U4WT3VS2UR3VS3VS4VS4VT4VT5VT5VU5WU6WU6WU6WV7WV7WV7\ WW8WW8XW9XW9XX9XXAXXAXYAXYBXYBYYBYZCYZCYZCY_DY_DY_\ DY_EZ`EZaEZbEZbEZcE_dF_eF_eF_fF_gF`hF`hG`iG`jG`kG`\ kGalGamGanHanHaoHbpHbqHbqHbrIbsIctIctIcuIcvIcwGdxI\ cwJbwLavMavO`uP_uR_tSZtUYsVYsXXrYWr_Vq`VqbUpcTpeTo\ fSohRnjNriPpiRniSmhUkhVjhXhgYfg_eg`cfbbfc`feZefYeh\ WhlWfjVeiVdgUcfUbeUacT`bT } frm:SliceJulibrot5 {; 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=========================================

1 0

Jim's FOTD for March 31st is on my server now.
by Hal Lane 03 Apr '13

03 Apr '13

Jim's FOTD for March 31st, its 'parent' and some zooms into the parent ('variations') are on my server now. Sorry for the delay. Most of April 1 is done, so it should be up soon. - Hal Lane ######################## # hallane(a)earthlink.net #######################

1 0

FOTD 01-04-13 (A Rectangular Set [No Rating])
by Jim Muth 01 Apr '13

01 Apr '13

FOTD -- April 01, 2013 (No Rating) Fractal visionaries and enthusiasts: Today's image is a new view of a minibrot hole on the main stem of the Mandelbrot set. The minibrot looks so unusual because it is sliced in the Rectangular orientation, which lies at a right angle to the Mandelbrot orientation and is determined by the imag(z) and imag(c) axes. The brilliant green bars slicing diagonally through the open area are actually Mandelbrot valleys viewed at a right angle. The bars are straight edged because regardless of where points in the M-set are initialized, they will eventually settle into the same orbits unless they escape first. There is no way I could give a rating to such an overworked theme, but being fascinated by things beyond visualization, I continue returning to the four-dimensional Julibrot for ever new surprises. The name "A Rectangular Set" is a bit misleading. The image is merely a small part of one of an infinity of Rectangular sets. The calculation completes in 25 seconds, fast enough to waste no one's time. The web sites are more convenient but probably no faster. When the official FOTD web site is back in operation, it will be found at: <http://www.crosscanpuzzles.com/Archives.html> Until then, the finished images may be seen in hi-def at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are posted at: <http://www.Nahee.com/FOTD/> The day began pleasant enough here at Fractal Central today, with breaking clouds and a temperature of 50F 10C, but by midday the clouds and rain had returned, and the temperature had dropped to 45F +7C. The fractal cat observed all this with dis-interest, while the humans made it through another day with no unexpected disasters happening. The next FOTD will be posted soon. Until we find out how long 'soon' is, take care, and when disasters happen, look to the bright side. But before you look, be sure a bright side actually exists. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Rectangular_Set { ; time=0:00:25.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/10166.07\ /1.3984/29.6185420924715608/28.9858769262522351 params=90/90/0/90/-1.690128/0/-1.690128/0/2/0 float=y maxiter=3200 inside=0 logmap=28 periodicity=6 colors=000BamCalD`kE_jFZiGYgHXeIWcJVaIU_ISYHQVHOSG\ MQGKNFIKFGIDDGBADA89846713940B72E94HC6KF8OHARKCUME\ YPG_SGbUFdXEf_DiaCkdBmfAlgClhDkiEkjFjkHjlIilJimKhn\ LhoNgpOgqPfrQfrRhoUjmXlk_nibpgerehtckvanx_qqXlkUgd\ RbZOYSLTMIONJJOLPWSUpfGoaHnYHmTHlPHkLHgNIcOI_PIWRJ\ SSJPTJSPGVMEYIC`FAaJDaNGbRJbVMcYOcaRdeUdiXem_epadm\ bdjbdgbLTRLUQKVQKWQJXPJYPIYPIZPH_OH`OGaOGbNGcNFcNF\ dMEeMEfMDgMDhLCiLCiLBjKBkKBlKAmJAnJ9oJ9oJ8pI8qI7rI\ 7sH6tH6uH6uH7tI7sI8sJ8rJ9rK9qK9qLApLApMBoMBnNBnNCm\ OCmODlPDlPDkQEkQEjRFjRFiSFhSGhTGgTHgUHfUHfVIeVIeWJ\ dWJdXJcXKbYKbYLaZLaZM`_M`_M_`N_`iSVgTVeTVdTVbUV`UV\ _VVYVVWVVVWUTWURWUQXUOXUMYULYUJYUHZUGZUE_UC_UB_U9`\ U7`U6`U7aT8bT9bT9cTAcSBdSCdSCeSDfSEfRFgRFgRGhRHhQI\ iQIjQJjQKkQLkPLlPMlPNmPNmPOnOPoOQoOQpORpNSqNTqNTrN\ UsNVsMWtMWtMXuMYuLZvLZwL_wL`xLaxKayKbyKczKczKbxLaw\ L`vM`uM_tNZsNYrNYqOXpOWoP } 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=========================================

1 0

FOTD 31-03-13 (End of the Line [7])
by Jim Muth 01 Apr '13

01 Apr '13

FOTD -- March 31, 2013 (Rating 7) Fractal visionaries and enthusiasts: We are still trying to gain access to the official FOTD web site. Neither we here at FC nor the technicians at the host site can figure out why the site continues to reject our password, which everyone agrees is correct. But web site or not, there will always be fractals. Today's image lies in the oversized parent that results when 5.5 negative parts of Z^(-1.1) are combined with 0.55 negative part of Z^(-11) and (1/C) is added on each iteration. This parent includes a huge spectacular 'fan' but today's image does not lie in this fan. It lies near the terminal of the filament extending south from the southernmost large bay. The name "End of the Line" indicates that the filament terminates not far beyond the scene. The rating of a humdrum 7 indicates that I put too little effort into working on the colors. The calculation time of 3-1/2 minutes is rather slow. But the web sites can relieve that problem. The official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> is still down. I recommend checking the finished image on Hal's web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are online at: <http://www.Nahee.com/FOTD/> Clouds and a cold rain spoiled Easter Sunday here at Fractal Central. The temperature of 45F +7C with the rain kept the Easter finery under wraps and umbrellas. The fractal cat grew alert when the cries of fighting tomcats drifted into the house. When the tomcats settled their differences, the fractal cat remembered that he was hungry. The humans were a bit grouchy because of the weather. I guess we'll have to ask the Big Guy in the sky why He spoiled His biggest day. The next FOTD will probably be posted to the list in 24 hours. It's hard to say when it will be posted to the official web site. Until next time, take care, and I sure would like to know what actually happened on the first Easter. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= End_of_the_Line { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=-2.506677199191898/-10.18811576459481/\ 1.663562e+011/1/-120/0 params=-5.5/-1.1/-0.55/-11\ /0/525/0/0 float=y maxiter=3200 inside=0 logmap=468 periodicity=6 mathtolerance=0.05/1 colors=000505505606707808909A0AB0BC1CD2DE3EF4FG5GH\ 6HI7IJ8JK9KLAGMBCMC8MD5LE7KF9JHBJICIKEHLGHNHGOJFQL\ ERNETODXQCWSCaZK_WRbZZeaUdXmkgQbUdiYK`UBbB9XU8RI6c\ c5GPFmmObgfzzfxzdkVcP0bd7aQDa_J`QP_QV_Q`ZQfYQlYQrj\ f1he3gd5fc6dc8cb9baB`aC_`EZ_FX_HWZIVYKUYLUVKUSJUPI\ UMHUJGUDEU7BU19V3AV5BW7CW9DWBEXDFXFGXHHYJIYLJYNKZP\ LZRMZTMYWSYZXYabXdgXgmXjrXmwZjt_gq`dnbakcZhdWefTbg\ Q_hNXiKVgMTeOSdPQbRP`TN_UMYWKXXJVZIT`GSaFQcDOeCNfA\ Lh9Ki8WcEgYJsSOoVRlYUh`WebZae`ZhcVjeSmhOpjLrmHuoEx\ rBztqzVltTgnSbiRYcPTYOPTNKNMFHKACJ56I11H42F62E93DB\ 3CD4BG4AI59e58f67P66S75U74k73X65w67Y69Y6BY6DZ5FZ5H\ _5J_5L_5NW7QS9SPAULCXIDZEF`AHc7Ie3Kg0LiGRjWWjSXiPX\ hLYhIYgEZfBZf7_e4_d1_dHZhWZljYpyYtp`mhcf_f`SiUKlOH\ kSFkWCk_Akb8kf5kj3kn1kq2in3gk4eh4ce5ab6_`7YY7WV8US\ 9SPAQNAOKBMHCKEDIBDH9EGEEGIEFMFFQFFUFEZFEbGEfGDjGD\ nGDrHFnHHjHJgILcIM_IOXIQT } 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=========================================

1 0