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FOTD april 9
by Susan Brown 09 Apr '13

09 Apr '13

FOTD -- April 09, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us back in time to the halcyon days of the MandNewt series of formulas, in particular the MandNewt11 formula. Don't ask what this series of formulas does or was supposed to do. I haven't the foggiest idea, but one thing it certainly does is create some unusual images. I named the image "Mandy in the Sky". If I had more room, I might have added 'with diamonds' since the sky surrounding the not-quite-critical Mandelbrot set is filled with rings of sparkling points that could be either stars or diamonds. The rating of an 8 indicates that, even though the image may not be the best of all time, it is new and different enough to be given a rating that is notably above average. The fireball fast calculation time of 15 seconds will seem to pass in a flash once the diamonds begin appearing at the top and bottom of the screen. And viewing the image on one of the web sites will eliminate the flash. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> without the task of calculating it. Variations in high-definition are online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And the FOTD back images are posted at: <http://www.Nahee.com/FOTD/ <http://www.nahee.com/FOTD/>> The preview of summer continued here at Fractal Central today, with a temperature of 81F 27C, gentle winds, and a blue sky filled with puffy white clouds. The fractal cat spent most of the day watching the birds, which were quite active in the area. The humans made it through another day with nothing going wrong -- a task that is not as easy as it might first appear. The next FOTD will be posted in the appropriate time. Until whenever, take care, and we know that physical matter is real because it is there even when no one is looking, but if no one ever looks, how do we know that the matter is there? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mandy_in_the_Sky { ; time=0:00:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandNewt11 passes=1 center-mag=1.87368\ /0/0.08274124/1/180 params=1/-1/1/-1/1/-1 float=y maxiter=250 inside=253 logmap=27 symmetry=xaxis periodicity=0 colors=00000FB9FF00G3EM6JS8OZBTdDYjGbpIgyKnwKltKjr\ KgoKemKckKahK_fKXcKVaKT_KRZJKYJPXJTWJYWKbVKgUKkTKp\ WGvUKtSOrPRpNVnLZlJbjHfhEifCmdAqb8u`4yY5yZ7y_zUzzy\ `ByazzbmzbzzcGzdmzzzzzKzfLzgLzoMzhNz`NzUOzMPzFQzGR\ zHSzITzIUzJVzKVzLWzMXzNYzNZzO_zPYzR_zPazOczMezKfzJ\ hzHjzFlzEnzCgzL_zTTzaLziEzr6zz6zz6zz6zy6zy5zy5zy5z\ x5zx5zx5zx5zw5zw4zw4zw4zv4zv3zi2zX1zK0z74z98zBCzEG\ zGKzIOzKTzNXzP`zRdzThzVlzYpz_tzaozbkzbfzcbzcYzdUzd\ PzePzf6zA8zEBzJDzNGzRIzVLz_Nzcpz3oz5nz6mz8lz9kzBiz\ DhzEgzGfzIezJdzLczMbzOazQ`zRZzTYzVXzWWzYVzZUz`yzUy\ zVyzWxzXxzYxzPwzHwz8mzHdzPfzRhzSizUkzWmzXozZpz_rza\ `zlKzvMzpNzjPzdQzZSzTTzNVzHTzIRzJOzKMzLKzLIzMFzNDz\ OHzTLzXPzaSzfWzj_zoWzmSzjOzhLzeHzcDz`9zZ5zWCz_IzbP\ zfVzjazmgzqdzlbzh_zcXz_UzVSzQPzMMzHazPqzXqzTqzPqzL\ rzIrzErzArz6mzDhzJdzQ_zXVzbQziQziQziQziPzjPzjPzjPz\ j6zT6zP6zL3zI6zHLSnPzPSzP } frm:MandNewt11 {; Jim Muth z=g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), e=real(p3), f=imag(p3): h=z^a+(g-b)*z-f j=c*z^d+g z=z-e*h/j, .0000000000000000000000000000005 <= |h| } END PARAMETER FILE=========================================

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fotd april 9
by Susan Brown 09 Apr '13

09 Apr '13

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FOTD 08-04-13 (Another of the Trees [7])
by Jim Muth 08 Apr '13

08 Apr '13

FOTD -- April 08, 2013 (Rating 7) Fractal visionaries and enthusiasts: Today's image is an almost-Julia set of the X-axis at the western extremity of the (-Z)^(1.55)+C Mandeloid. It's almost a Julia set because it is double-rotated 0.01,0.01 degree from the true Julia orientation. (To see the true Julia version, change the (p1) and (p2) parameters to 90.) I might have rated the image a point or so higher if there were not so many similar tree-like images in FOTD history. As it is, the rating of a solid 7 is perfectly average. The name "Another of the Trees" indicates my dis-satisfaction with a fractal theme that is becoming hackneyed. The calculation time of 4 minutes is rather slow, and I'm not sure the image is worth the wait. This is where the web sites become a blessing in disguise. Check the finished image posted at: <http://www.crosscanpuzzles.com/Archives.html> And the hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are available at: <http://www.Nahee.com/FOTD/> Spring was in full bloom here at Fractal Central today as the temperature reached 72F 22C and the sky remained nearly cloudless. The fractal cat enjoyed his appointed time in the sun on his shelf, though with the sun now at an increasingly high angle it is missing the back edge of the shelf. The humans passed the day working and sometimes pondering the pathetic state of our 'modern' culture. The next FOTD will be posted in the proper time. Until whenever, take care, and what will we do when the internet is turned off by the same dark forces that created it and then were satisfied at how easily we became addicted? (I'm not serious of course . . . or am I?) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= AnotherOfTheTrees { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 center-mag=0.218919/0/13.36618/0.8579/90/0 params=89.99/0/89.99/0/-1.1352113/0/0/0/1.55/0 float=y maxiter=1500 inside=255 periodicity=6 colors=000ES000a00a00a00_00_00Y00Y00Y00X00X00X00W0\ 0W00W00U00U00S00S00S00Q00Q00Q00O00O00O00M00M00K00K\ 00K00K00I00I00I00G00G00G00E00E00C00C00C00900900900\ 80080080060060030030030000000000000000000000000000\ 00000000000000000000000000000000000000000000000jzw\ jzwhzufzrezqcxoawn_tlYrjYqhXofWneUjcShaQf_QdYObXM_\ WKYUIXSGWQGUOEQKCOI9MG8KE6GC3E93C80960830300000000\ 00000000000000000IzzGzzEzzCzz9xz8ux8qu6nq3hl0eh0_c\ 0XY0SW0OQ0IK0EG089033000000000W8fU6eU6cS6cS6aQ3aQ3\ _O3YO3YM0XM0XK0WK0UK0UI0SI0SG0QG0OE0OE0MC0MC0K90I9\ 0I80G80G80E60C60C309309008006006003003000000000000\ 000000000000000000000000000000000000xS0tO0qM0nK0jI\ 0eG0aE0Y90W80S60M30I00E00900600000000000000tz0rz0q\ z0qz0oz0oz0nz0nz0lz0lz0jz0jz0hz0hz0fz0fz0ez0ez0cx0\ aw0au0_u0_t0Yr0Yq0Xq0Xo0Wn0Wl0Ul0Uj0Sh0Sf0Qf0Qe0Oc\ 0Oa0Ma0K_0KY0IX0IW0GW0IOO } 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=========================================

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FOTD 07-04-13 (Pi in the Sky Bye and Bye [8.5])
by Jim Muth 07 Apr '13

07 Apr '13

FOTD -- April 07, 2013 (Rating 8.5) Fractal visionaries and enthusiasts: We are taught in religion class that if we are good while on earth and obey all the rules, we will have our pie in the sky bye and bye when we die. My opinion is that it's too bad we have to be dead to enjoy our pie. But maybe it's not all that bad. In today's image we can have our pie while we're still alive. The pie in question is not the kind we eat, but the kind that describes the ratio of a circle to its diameter -- the kind of pie that is spelled pi and has a transcendental numerical value of 3.14159.... To add to the confusion with today's image, it is not straight Z that is raised to the power of pi, it is (-Z), and what a difference that little minus sign makes in the appearance of the parent Mandeloid. The parent has been turned on its side and is splitting apart along the parts that would normally lie on the Y-axis, resulting in a totally new fractal. Today's image is a Julia set of the point where the X-axis intersects the split-apart western extremity of the parent fractal. The name "Pi in the Sky Bye and Bye" refers to the exponent of Z, and might also be a warning to the youngsters that they had better be good if they want their pie. The rating of 8-1/2 includes the standard half-point bonus for the coloring, which might even be a little too intense. The calculation time of 2-1/3 minutes is about average, but viewing the image on the web sites will save a good part of that time. Enjoy the completed image at: <http://www.crosscanpuzzles.com/Archives.html> and the high-definition variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> Another near-perfect spring day graced Fractal Central today. The day began with a temperature of 36F +2C but under full brilliant sunshine warmed to an afternoon high of 64F +18C. The fractal cat fully enjoyed the strong afternoon sun on his shelf in the southwest window. The humans enjoyed the entire day's weather, thinking of the coming summer activities. The next FOTD will be posted in a certain number of hours. To find the exact number of hours check back every so often. Until whenever, take care, and ambiguity can sometimes be confusing. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= PiInTheSkyByeAnBye { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 center-mag=-0.250391/0/0.9363296/1/-90/0 params=90/0/90/0/-1.0876775/3e-008/0/0/3.141592653\ 58979/0 float=y maxiter=2500 inside=0 periodicity=0 colors=000A00G30N52XABgFKnKUsJczKqzPzzUzzZzzezqhzZ\ 0vB0c00P0060000000000000G20lG0zP0zc2zl0zZ0zK0zBcz0\ ml0mU0ch0cq0cz0cz0cz0cz0mz0mz0mz0mz0mz0rz0vz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz6zz0zz0zz0zz0zz0Zz00zP0zz0\ zq0zh0zZ0zP0zG0z60z00z00z00z00z00z00v00q00z00z00z0\ 0z00z00z02z0Kz0Zz0qz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz06v0zz0zz0zz0z\ z0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0vz0q0zz0zz0zz0zz\ 0zz0zz0zzBzzPzzczzqzzzzzzzzzzzvzzqzzhzzZzzUzzKzzBz\ z6zz0zz0zz0vz0qz0lz0hz0qz0vz0zz0zz0zl0zP0z60z00z00\ z00z00z00z00z00z00q02Z0BB0K00U00q00Z00G000000000B2\ 0PG0c60Z20U00P06K0hl0zz0zz0zz0zz0zz0zz0zz0zq0zh0zZ\ 0zU0zK0zB0z20z00z06z0Gz0Pz0Uz0cz0lv0vh0zU0zG0z20z0\ 0z00z00z60zh0hz0lz0lz0qz0 } 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=========================================

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FOTD 05-04-13 (The Great East [7.5])
by Jim Muth 05 Apr '13

05 Apr '13

FOTD -- April 05, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a different view of a tiny minibrot in the east valley area of a larger minibrot on the main stem of the Mandelbrot set. The minibrot is sliced in the Rectangular direction, which explains why it looks nothing at all like a Mandelbrot minibrot or a mini-Julia set. As is usually the case with fractals created by taking odd slices of the Julibrot, the image has been stretched and skewed to bring it to reasonable proportions. The thin diagonal yellow lines through the open area are parts of the west branch of the large valleys on the north and south shore lines of the main bay of the underlying minibrot. The rating of 7-1/2 is largely earned by the coloring, which is just about all the image has going for it. The name "The Great East" simply tells that the scene lies to the east of a larger minibrot. The calculation time of 3-1/4 minutes is within reason. The web sites can completely remove the need to calculate. The official FOTD web site is again up and running at: <http://www.crosscanpuzzles.com/Archives.html> High definition versions are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> Spring arrived with a day of total sun and a chorus of bird song here at Fractal Central today. The temperature of 59F 15C was the warmest in at least one entire month. The fractal cat, taking advantage of the strong sun, passed the afternoon on his shelf in the southwest window. The humans passed the day working, though FL's gardening enthusiasm is growing fast. The next FOTD will be posted when it is ready. Until that glorious moment arrives, take care, and political correctness might keep people happy, but it all too often fails to admit and solve the problems. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Great_East { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0/0/3.920133e+007/1.6807/102.3920236694\ 89504/35.4 params=90/90/0/90/-1.7857285921/0/\ -1.7857285921/0/2/0 float=y maxiter=7500 inside=0 logmap=314 periodicity=6 colors=00000F00G00H00I00J00K00L00M00N00O00P01Q02R0\ 3S04T05U06V07W08X09Y0A_0B_0Ca0Dc0Ec0Df0Dg1Ch2Dk3Cm\ 4Cn5Cq6Bs7At89v99xA9zBBzCDzDFzEHzFJzGLzHNzIQzJSzKU\ zIWzFYzC_v9ar5fm6ch7ac7_c8Yc8WZ9UZ9SZAQUAOUBMKCKKC\ IEDGEDEEECEEAEF8ED7FF6EH6EJ6EL5EN5EP5FR4JS4MU4PW4S\ Y3U_3Wa3Yc2`e2af2bh2cj1dl1em1gn0ip0kq2mr4os7qtAquF\ qvKpwQoxRomYmcPmUEm8HmdIXdLYcO_cR`cUacXcb_dbbebegb\ hhakiankaqlJwVatmUtqNttJqjGo`DlRAjH2g77h8Bh9FhAJiA\ NgBReCVcDZbDdaEeaFeaGdaGd`Gd_HdYHdVHbRH`NHaIHdDHj8\ Hz5Gp4Hj3Hd3HZ2HU2HO1HI1HC0H70H83L95PA7TB9WBB_CEcD\ GfEIjFKnFMqHOnIPkKQhLReNSbOT_QUXRWUTXRUYOWZLX_IZ`F\ _aDZ`GY`JX`MW`PV_SU_VT_YS_`RZcQZfPZiO`lNcoMhrLmuLr\ xNvvPzuQumRqeTmYViQXeI_aA__6_Y2`Z5`Z7`ZAaZCaZFaZHa\ cKbcMbcPbcRbcUccWcmZcm`cmacmbzzJzz0zz3zz5zz8zzAzzD\ zzFzzIzzKzzJzzJzzJzzJzzJzzJzzJzzJzzJzzJzzJzzJzzJzz\ JzzOzzSzzXzz`zzczzdzzezze } 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=========================================

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

03 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=========================================

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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 #######################

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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=========================================

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

31 Mar '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=========================================

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FOTD 28-03-13 (Quadraquintic Brot [8.5])
by Jim Muth 28 Mar '13

28 Mar '13

FOTD -- March 28, 2013 (Rating 8.5) Fractal visionaries and enthusiasts: Today's long-awaited FOTD image rates a solid 8-1/2, most of which is due to the coloring. The striking colors were not a result of any artistic talent. They are a result of programmed randomness, though I did give myself a 1/2 point bonus for being the one who struck the <enter> key. The image shows a scene in a minor minibrot on the main stem of the grossly oversized parent Mandelbrot set. This minibrot is halfway through the process of morphing from quadratic to quintic, with today's scene located in debris on the degenerate northwest shore line of the minibrot's main bay. I named the image "Quadraquintic Brot" because the obviously quintic minibrot at the center is surrounded (beyond the frame edges) by purely quadratic stuff. The calculation time of 1-3/4 minutes will pass in a flash. To avoid being dazzled, I recommend visiting one of the web sites. If the finished image is not already posted to: <http://www.crosscanpuzzles.com/Archives.html> it soon will be. The high-definition versions are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images may be checked at: <http://www.Nahee.com/FOTD/> A blustery mix of sun and clouds with a temperature of 48F +9C made today a disappointing one for those impatient for spring to arrive. The fractal cat was equally disappointed with the come-and-go sunshine on his shelf, and soon retired to my favorite chair. Meanwhile the humans continued working on the work room. The next FOTD will be posted when the work room work is finished, most likely in 24 hours. Until whenever, take care, and those who think fracking for natural gas and oil is harmful to the environment should calculate the number of square miles that would need to be covered with solar panels to supply an equal amount of energy. People should do the math before clamor- ing for solar energy! And monstrous wind turbines not only kill the birds that fly into them, they create subsonic pressure waves that are disorienting to both animals and humans within a half mile or so. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Quadraquintic_Brot { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-83.71508047424459/+0.0075262435899841/\ 3.99368e+010/1/81.25/0. params=5/50 float=y maxiter=1500 inside=0 logmap=193 periodicity=6 colors=000LWpJTlHRhFPdEN`CLXAJT8HP7FL5DH3BD1990755\ 66967D68I68M69Q6AV6AZ6Bb6Cg6Ck6Do6Et3Bs6Es9HsCKsFM\ rIPrKSrNXrQ_qTaqWcqZeq_gq`hr_is_jtakuelvimwknxmoyp\ pxrjvvexzZuy`rxbowclveiufguhdtjcskhrmmqnrppvrvzpqz\ omzmhzldvj_riWmgRhfNcdIcf8ccEcaJcZPcWU`S_YObVKdSJY\ RHWQGVPFTOESMEQKEPIENGEREDPCCTACR8CQ7DO7FN7HN6IM6J\ M6KL5ML5OK5RK4UJ4XJ4_I3bI3eH3hH7iGAjFEkEHlDKmCOnBR\ oAVp9Yq8`r8bl8dg8ea8gX8iR8jM8lG8nB8s22o68lADhEJeIO\ aMUZQZVUdRVgSYiS_jTakTclUemUgnVipVkqWmrWosXqtXsuXu\ vWqpWnkWkfWhaWeXWbRW_MWXHWUCWR7YOEZMK_JR`HXaFcbCic\ Apd8vcBrbDnbGjaIfaLc`N__QW_SSZVOZXLQbMHgM5kL9lMDmM\ HnNKoNOoOSpOVqPZrPbrQesQitRmuRpuRktQftPatPYtOTtNOs\ NJsMFsLAsL5sz2sz1sz7nzCjzHezMazRzzWzz`zzezzjzzozzt\ zzyzzZzz8zz9zzAzzAzzBzzCzzCzzzzczzczzczzczzmzzmzzm\ zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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