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FOTD 16-06-13 (East to Freedom [A-7,M-6])
by Jim Muth 17 Jun '13

17 Jun '13

FOTD -- June 16, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image is named "East to Freedom". The only reason I can give for the strange name is that the image lies on the east edge of one of those fractal fans that are so common in parent fractals created with two negative exponents of Z. The rating of a 7 is only slightly above FOTD average. Despite the brilliant colors, there have been so many similar images in the past that the theme has become hackneyed, holding down the rating a point or so. The calculation time of 3-3/4 minutes will drag a bit, but the drag may be avoided by visiting the web sites. Be at peace with the abstract realm of numbers. Check the finished lo-def image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> If hi-def is your thing, check the rendering at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the past images, which are posted at: <http://www.Nahee.com/FOTD/> Morning clouds gave way to afternoon sun here at Fractal Central today. The fractal cat stretched out on the hardwood floor as the temperature reached a pleasant 81F 27C. The humans simply had a pleasant day, though I have noticed how much less active our pleasant days have become since I launched the FOTD in April of 1997. The fractal cat's pleasant days are slowing down also, especially now that he has no lady playmate to keep him on the run. The next FOTD will be posted in a day or two. Until then, take care, and don't agitate yourself by playing violent video games. Create a peaceful aura by enjoying a good murder mystery. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= East_to_Freedom { ; time=0:03:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+5.011007493465/-0.127916407873/460360\ /1/130/0 params=-10/-1.1/-0.1/-11/0/800 float=y maxiter=2400 inside=0 logmap=221 periodicity=6 colors=00002U02U02S02R02O02O02K02K02I12I22G42G53E6\ 4B7576456215105004004004001000500B60HC0NJ0VR0a_0ig\ 0su0qo0ol0ni0le0kb1kY4iW6hT8fP9dNCcJEcGHaDI_BLZ8OY\ 6RW4UW0WV0YU0aS0dQ0eQ0gP0iN0jM0lL0nJ0oI0qH0sG1zF4v\ D5zG9xD6vC4vB1mA0m90m50m70hA0ZC0cD0cF06F02F00F00D0\ 0D00F00D00C00D00F10F60G92FE4FI6GN8GT9GXCGbDFgGDnID\ sJCzNBzOBzNGzNJuLNnLQnLQnJQnJQnJQnIQnIQnIQnHQnHQnH\ QnEQnCQn9Qn8Qn6Qn4Ql0Pj2Ni6Mg8NeCNdEPbIPaLQaPQbTUb\ XUb_ZbdZdgcdlcdohduhexmezmezhezhYucTocNjZHeZJaURXU\ YTPeUQnWQnXQnYQnYQnYQnYNnYNnYLnYLnYInYHnbHneHniGnn\ GnlGnjGniFegFeeFYdFYbDYaFY_IYYMYYP_YUbAieAjiKklKqo\ UqsUtvcznczg9d_DQUGFOJ7HN2CP07N19N4CO7DOBGOFIPIJOM\ NNQPNSRNVRLPJJLEIG8HC4TJ0dS0sW0oc0nc0lm0jm0gm0ez0d\ z0bz0az0Yz0Xz0Wz0Uz0Tz0Pz0Oz0zz0zz0zz0zz0zzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 14-06-13 (Tree Time [A-7,M-6])
by Jim Muth 14 Jun '13

14 Jun '13

FOTD -- June 14, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: I have used today's formula very rarely, so it is almost like a new one. It might be wise for newer fractal fans (if any) to include it in one of their formula files. There have been many fractal trees in FOTD history, and today's image is another tree. Most FOTD trees have been shaped like apple trees, but today's tree resembles a pine tree, or more specifically a Christmas tree, since it appears to be decorated with lights. The image is also the entire parent fractal, which was generated by calculating the expression Z^(1.1)+Z^(-1.1)+C in the Oblate direction and rotating the scene 90 degrees. This parent fractal is actually a sideways view of the Seahorse Valley of the critical Mandeloid slice of the parent Julibrot. The name "Tree Time" is a simple comment on the image and the frequency of fractal trees in FOTD history. The artistic value of 7 and mathematical value of 6 are close to average, which makes the calculation time of 45 seconds kind of a bargain. Make life even easier by checking the finished image at: <http://www.crosscanpuzzles.com/Archives.html> And check the hi-def renderings at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Thousands of FOTD back images are at: <http://www.Nahee.com/FOTD/> A very pleasant though slightly chilly day was enjoyed by all here at Fractal Central today. I enjoyed the interesting clouds in the sky; FL enjoys the near perfect mix of sun and rain that has her garden in top shape; the fractal cat Nicholas enjoyed his extra treat of turkey and cheddar. For the record, the sky was partly cloudy and the temperature reached a high of 75F 24C. The next FOTD will be posted within a matter of hours. Exactly how many hours remains to be seen. Until whenever, take care, and why stop halfway with only *gun* control? Let's pass a law to control everything that could be used to hurt anyone. No, that wouldn't work. We would have to ban fists, which certainly can cause injury, and that would mean removing everyone's hands. And what about mouths, which sometimes utter words that can cause more harm than fists and guns combined? It appears that banning things would not work. We'll just have to pass a law to control human behavior. But then who would write the laws describing which type of human behavior would be banned -- idealistic young liberals striving for social equality or greedy old capitalists striving for more profit . . . or maybe Big Brother, or even the aliens from Sirius-C. Too bad -- I guess nothing is going to change. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Tree_Time { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=dec-97.par formulaname=OblateMix center-mag=3.20558/0/0.3299/\ 9.2497/90/0 params=1/1.1/1/-1.1/0/-1.36989 float=y maxiter=5000 inside=253 logmap=yes periodicity=6 colors=00000b00a00`00_01X02Y03Y04Z05_06_07`08a09a0\ Aa0Ba0Ca0Da0Ea0E`0F`0G`0I`0J`0K`0L`0L_0M_0N_0O_0OZ\ 0PZ0RZ0TZ0WZAYYK`YUcYceYmgYsiXtkXumXvnXwpcxumzzzzz\ zyzmxwcwtYvqZunZtmZskZriZqg_pe_oc_nb`mb`laakaaj`ai\ `ah_bg_bfZbeZbdYccYcbXcaXc`Wd_WdZVdYVdXUeWUeVTeTSf\ TSfTRfTReTQeTPeTPdTOdTOcTNcUMcUMbULbUKbUKaUJaUIaUI\ `UH`UH_UG_UF_UFZUEZUDZUDYVCYVBYVBXVAXVAWV9WV8WV8VV\ 7VV7VU7UT7TT7TS7SS6SR6RR6QQ6QQ6PP6OO6OO5NN5NN5MM5L\ M5LL5KL5KK4JJ4IJ4II4HI4GH4GH3FG3FF3EF3DE3DE3CD3BD2\ BC2AC2AB29A28C29D29E39F39G49H59I69J69K79ZAcZAcZBdZ\ BdZCdYCeYDeYDeYEfYEfYEfYFfYFgXGgXGgXHhXHhXHhXIiXIi\ XJiWJjWKjWKjWLkWLkWLkWMlWMlVNlVNmVOmVOmVOmVPnVPnVQ\ nUQoURoURoUSpUSpUSpUTqUUqUWqUXrTYrT`rTdsTgsTjsTotT\ mtTltSjuSguSeuSduSdvScvScwSbwRawR_vQZuQYtPXsOWrNVq\ NUpMToLSnKRmKQlJPkIOjHNiHMhGLgFKfGLgHLgHKgIKgIJgJJ\ gJJfKIfKIfLHfLHfHAKMHfNGf } frm:OblateMix {; Jim Muth z=real(pixel)+flip(real(p3)), c=flip(imag(pixel))+imag(p3), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+c, |z| <= 100 } END PARAMETER FILE=========================================

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FOTD 13-06-13 (Superfractal [A-7,M-5])
by Jim Muth 13 Jun '13

13 Jun '13

FOTD -- June 13, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Look up in the sky! It's a bird, it's a plane, it's Superfractal, complete with its superinsignia on its chest. Well, actually, it's an Oblate view of one of the strange rectangles in the East Valley of the split main minibrot on the negative X-axis of the Z^(2.003)+C Mandeloid. Today's image might not be faster than a bullet, more powerful than a locomotive, or able to leap tall buildings in a single bound, but if it had appeared in the 1930's, around the time the other superhero did, it would have been considered super indeed. My opinion of the image's artistic worth is in the range of a 7, while the math worth rates a humdrum 5. The math aspect might have rated a point or two higher if so many similar rectangles had not appeared so many times before. The name "Superfractal" came to mind when I saw a stylized letter 'S' in the image. The 'S' consists of what remains of the open area of the curious Julia rectangle. Requiring a wait of 8-1/2 minutes, the calculation time is slow, there is no doubt of that. But the wait can be eliminated by checking the web sites. The image has been rendered and posted to the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Hi-def versions are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> The day began with a bang as a heavy thunder-storm broke out here at Fractal Central. When the storm ended, the rest of the day brought lots of clouds and a few light showers. With a little sun mixed in and a temperature of 79F 26C, it was still a pleasant day however. The fractal cat, who did not like the thunder, braved the storm nevertheless in his favorite chair. The humans noted that the additional 1.15 inches, 3cm, of rain was too much of a good thing for the fractal garden, which is becoming rather waterlogged. The next FOTD will be posted when the bull cows come home. Until whenever these apparent hermaphrodites arrive, take care, and keep affirming that there are no aliens from space secretly running the mess we've worked ourselves into here on earth. After a while, you might actually start to believe yourself. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Superfractal { ; time=0:08:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.000000295\ 34029771/-0.00001939834553309/8925.013/0.03549/\ -89.0561575137423063/88.6599571880745998 float=y params=0/90/0/90/-1.7435/0/0.00019/0.07682/2.003/0 maxiter=64000 inside=0 logmap=80 periodicity=6 colors=000bMjaLj_KkZJkYIkXIkWHmVGoUFqQGrTHsVItXJu_\ KvaLwQMwQNwROwRPwSQvSRvTSuTSuURtUQtUPsUOsSNrUOrVPq\ WPqXQoYRl_Rj`ShaTfbTccUadU_fVYgWWhWTiXRjYPlYNmZKn_\ Io_Gp`Epb8q`CqZGrXKrWOrUSsSWsQ_sPctNgtLktKnsJorIor\ HoqHoqGopFooFooEonDomDpmCpmBplBpkApk9pj9pj8pi7pj4q\ i7pi9piBpiEphGohIohKohNohPogRngTngWngYng_nfamfdmff\ mfhmfjmehkdgicfgbdeacc`ba_`_Z_YYZWXXUWWSVVQUTOTSMS\ RKRPIQOGPNERI1OMDLQPJU_IV`HW`GX`FY`FZ`E_`D``Ca`Cb`\ Bc`Ad`9e`9f`8g`7h`6i`2ja6i`Ah_Dh_HgZLfYOfYSeXWfUVe\ XUeZUe`TdbTddSdfRciRckQcmQboPbqUgtPbsLYrGTqCOp8KpB\ MlDOhFQeHSaKVYJUZIUZIUZHU_GU_GU_FU_EU`EU`DU`CU`CTa\ BTaATaATa9Tb8Tb8Tb7Tb6Tc6Tc5Tc5Tc8UbAUbCVaEVaHWaJW\ `LW`NX_Qc_Sc_UcZWcZZcZ`cYbcYdcXgmXimXkmWmmWqmYomWn\ mVlmUkmTimRhmQfmPemOcmMbmL`mKcmJcmIcmGcmFcmEcmDcmB\ cmAmm9mm8mm4mm7mmAmzCmzFmzHzzKzzMzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 12-06-13 (Two Plus Two Equals Five [A-6,M-6])
by Jim Muth 12 Jun '13

12 Jun '13

FOTD -- June 12, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's moth-eaten image lies in the same parent fractal as yesterday's image. But instead of lying on the southern edge of the 'fan', it lies in a tiny valley in a small hole along the X-axis at the eastern edge of the fan. Because of the current phone and e-mail spying flap, I am currently reading the novel '1984' for the third time. The name of today's image, "Two Plus Two Equals Five", came about when I remembered what poor Winston had not only to say but also to know was true. The image's ratings show that I truthfully believe that both the artistic and mathematical values are near average. The greatest drawback of the image is its annoyingly slow calculation time of 25 minutes on the typical SOTA PC machine, though I hear it will run faster on a SOTA MAC. But don't be alarmed by the slowness. Remember the FOTD web sites, which can always save the day. Calculate the image for yourself with frustration, or view it with much less frustration already rendered on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and enjoy the hi-def versions at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and all the FOTD back images at: <http://www.Nahee.com/FOTD/> A mix of clouds and sun with a high temperature of 81F 27C made today quite pleasant here at Fractal Central. The fractal cat displayed his fractal nature by sleeping most of the afternoon, while the humans tended to more human things such as work and gardening. The next FOTD will most likely be posted in one day, two at the most. Until whenever, take care, and keep an open mind. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= 2_Plus_2_Equals_5 { ; time=0:25:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=t center-mag=+4.704917286396/-0.000960883653/1811176\ /1/132.5/0 params=-11.1/-1.11/-1.11/-11.1/0/100/0/0 float=y maxiter=6400 inside=0 logmap=757 periodicity=6 colors=000ekWcl_bmd`nh_omYpqXpuYntZms_kr_jr`iqagpb\ fobeoccndbmeale_lfZkgYjgWjhViiUhjSgjRgkQflOemNdmMd\ nKcoJboIbnJanJanKamKamLamLalMalM`lN`kN`kO`kO`jP`jP\ `jQ`iQ_iQ_iR_hR_hS_hS_gT_gT_gUZgUZfVZfVZfWZeWZeXZe\ XZdXYdYYdYYcZYcZYc_YKOWTHkKMZBRN3VB5UB7TB8SBARBIIH\ BRB3a35_67Y98WBAUEBSGDRJEPLGNOILRJJTLIWMGYOE`PCbRA\ eX3kS9gOFcKL`FRXBXT1hU7aQCWMHQIMJERDAX32W77WBBWFGW\ JKWNOWRTWVXWZ`WbeWfiWjmZkjalgdmdfmadi_bfZ`cYZ`XXYV\ VVUURTSOSQLQOIPMFOKCNI8NJ9MJ9LK9LK9KL9KLAJMAIMAINA\ HL7GNAHPCIREJTGKVIKXKLZMM`PNbROdTOfVPhXQjZRk`RgXhd\ UygZijbUzAAzAKzAUzAczAmzAzzAmz9cz9Uz9Fz8Ez8Dz7Cz7B\ z7Ay89x88w88v87u87t86s85s95r94q94p93o92n92m91m91lB\ 3kD5jE6iG8hI9gJBfLCeNEdOFcQHbRI_QMYQQVPTTPXQO`OOcc\ NgcNkcMncMrcLvmLmmPmmTmmWmm_mmcmmcmmcmmhmmhmmhmmhm\ mhmzmmzmmzmmzmozmrzmuzmrzmpzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 11-06-13 (Holes in the Story [A-6,M-6])
by Jim Muth 11 Jun '13

11 Jun '13

FOTD -- June 11, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's image is filled with tiny holes -- thousands of them -- and each hole holds an entire fractal universe. Noticing the abundance of universes, I named the image "Holes in the Story". Of course, the name has nothing to do with one of those trendy watered-down 'light' murder mysteries made for the ladies. The large minibrot filling the center of the frame is under- resolved. Raising the maxiter to around 3000 would eliminate this flaw, but it would also change the coloring, which is not all that great to begin. (I am a constant critic of my own frequently flawed work.) The formula behind all the madness is totally whimsical. For no particular reason I combined 11.1 negative parts of Z^(-1.11) with 1.11 negative parts of Z^(-11.1), and then added (1/C) on each iteration. The resulting parent fractal is an oversized thing with a prominent 'fan' with the blade pointing east along the X-axis. Today's scene is located on the southern edge of the fan blade. The artistic and mathematical worth both rate an everyday 6. The image is not great, but those who do not check it will never know what they have missed. Unfortunately, the calculation time of 5-3/4 minutes will drag, even for the most ardent fractal fan. Here is where the time- saving web sites rush to the rescue. For instant serenity. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> If hi-rez is your thing, check the image at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Armchair archaeologists may check the ancient FOTD images at: <http://www.Nahee.com/FOTD/> The day turned out not so bad here at Fractal Central. A brief shower in the morning cleared out in time for a partly cloudy afternoon, with a temperature of 77F 25C. The fractal cat gave approval by sleeping through most of it. The humans had an average day of getting the things that needed to be done out of the way. FL spent time admiring her roses, which are giving the best performance in years. The next FOTD will be posted when the time is right. Until the right time arrives, take care, and Big Brother is surely already among us. All we need to do is recognize him? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Holes_in_the_Story { ; time=0:05:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.42737934414/-2.347260171984/1984005/\ 1/60/0 params=-11.1/-1.11/-1.11/-11.1/0/100/0/0 float=y maxiter=2000 inside=0 logmap=-282 periodicity=6 colors=000IgoJieMdaOZYRUVRRRRPQVKPZFMbAKe8Ig9Gi9Ck\ D9kH9mMAcHAUF6O83H33J44N49P5ET6LV6QZ7V`7`d9gfAmkBs\ nCxfEo`MeVUXSXTOeOIoGExCCzCCzCCzCCzCCzCKzCPuBUmA_d\ 8eY8oVEvQKzMOzPMzQMxRMvSKuTKsWJqXJoYGmZGk_Gi`FdXI`\ ULVRORPPOMPMJTJGXFE`BAd99g99kAAoBBsCCvCCxH333G84LF\ 5PK6TQ6XV7`b9dgAjmBnsCszCuzCyzCzzCzzCyzCrvFiiJbYOV\ PNNBRJ5XP6bU8gZDmdGshLxnOzrSzvUzyXzzZzz`zzrxxxnxzZ\ szfuzlwzquuvvvuvmxxdzyWzzMzzCzuCzqCznCziCzfCxaCvZC\ uUBqOAoLAkG9iC9g99d88b77a77T6FO5RL8eJBuECzCCzHCzK8\ dN4IP5KR5LTENTNPVUR`dVbmXgx`hz`hz`CQzCMzCJzCEzCCzC\ CzCCzCCzCCzTF6VK6VO6VTCXXK_bTbgafmhhqmjvrjzxjzzlxu\ kqoiiicdbde`dg_dg_fiYfiYfkXhmVhmVhoUjoUjqSjsRlsRlu\ PluPvmCznCznCznCznCznC`zzZyzXwzWuzUszSrzcozcmzckzc\ izcfxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 10-06-13 (The Mandy in Space [A-7,M-6])
by Jim Muth 10 Jun '13

10 Jun '13

FOTD -- June 10, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image lies in an easily missed parent fractal that comes into existence when Z^(100) is blended with 2 parts of Z^2 before straight C is added on each iteration. This parent is a lopsided series of circles, one inside the other, centered well west of the origin, with a tiny Mandelbrot set along the X-axis, rotated 180 degrees, with its west end facing east. Today's scene lies in an elephant-trunk spiral in the East Valley of this tiny M-set. If the formula function is changed from 'ident' to something else, the parent fractal loses its circular X-axis symmetry and changes into any number of grotesque shapes, but the inner details remain the same. The name "The Mandy in Space" has some connection to a futuristic scene in some old sci-fi movie. I forget exactly which movie was the inspiration. The artistic rating of a 7 indicates a little above average satisfaction; the math rating of a 6 indicates near average mathematical interest. The calculation time of 1-1/4 minutes will pass as swiftly as the time required to check the image on one of the web sites, but checking the web sites will eliminate the task of setting up and running the parameter file. Total relief from calculation pains may be found on the official lo-rez FOTD web site, which is online at: <http://www.crosscanpuzzles.com/Archives.html> The hi-rez image is online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Lots more FOTD fractals are online at: <http://www.Nahee.com/FOTD/> Today was rather unpleasant here at Fractal Central. Heavy clouds hung overhead all day, and rain fell constantly, varying from very light to rather heavy but never stopping entirely. To make things worse, the air was totally saturated, making the temperature of 70F 21C quite oppressive. The fractal cat took no notice of outdoor things, finding satisfaction instead in his treat of turkey and cheese. The fractal humans had an everyday day indoors. The next FOTD will be posted one day in the very near future. It could even be tomorrow. Until whenever, take care, and every time I see or read an official scientific explanation of how the neural network of the brain creates self-awareness, I just can't grasp the connection between the material neural network and the non-material conscious awareness of one's own existence. I guess I'm not as smart as I thought I was. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Mandy_in_Space { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-0.8662519660562518/-0.0868356105845902\ /6.607561e+011/1/67.5/0 params=1/100/2/2/0/0/0/0 maxiter=3000 inside=0 logmap=133 periodicity=6 colors=00000501702903B03D04F05G06H07I18J2AK3CK4EL5\ GL6IL7KK8MK9OKAQKBSJCUJDWJDYJE_JFaJGcMHePIgUJiZJkc\ KlhLmmLnrLovJpzJnvImrHkmHjhGhcGfZGdUGaQHZNHVMHSLHP\ KHJJIFIIAHI6GJ8JJFLKKOKPQLUTMZVMbYNg_NlbOpdOtgPxiO\ vjMtjLrkJplInlGlmFjnEhoCeoBcp9aq8_q6Yr5Ws3Us2St3Ts\ 3Uq4Wp5Xn6Ym6Zl7`j8ai8bh9cfAeeBfcBgbChaDj_DkZElYFm\ WGoVGpTHqSHrRGpSFnSEmSEkSDiSChSBfSBdSAcS9aS8`S8ZS7\ XS6WS5US5SS4RS3PS6QR8RQBSPDSPGTOIUNLVMOWLQXKTYJVYJ\ YZI__Hb`GeaFgbEjcDlcDmdCmeBmfAmeAmeAmdBmdBmcBmbBma\ Bm`Cm_CmZCmYCmbDmbDmcDmdDleDlfEkgEjhEjhEihEhhEghFm\ mFmmFmmOmmOmmUmmUmmcmmcmmmmmmmmzmmzmmzmmzmmzmmzmmz\ mmzmmzmmzmmzmczmczmczmczmczmczmczzczzczzczzczzczzc\ zzczzczzmzzmzzmzzmzzmzzmzzmzzmzzfzzfzzfzzgzzgzzgzz\ hzzhzzhzzhzzizzizzjzzjzzjzzjzzkzzkzzkzzkzzlzulzzlz\ zmzzmzzmzznzznzznzzozzozzpzzpzzqzzqzzrzzrzzrzzszzt\ zzuzzvzzwzzwzzxzzyzzyzzzz } 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 09-06-13 (Forbidden Universe [A-8,M-7])
by Jim Muth 09 Jun '13

09 Jun '13

FOTD -- June 09, 2013 (A-8,M-7) Fractal visionaries and enthusiasts: Some fractalists might be curious about the new rating system. In the new system 'A' refers to the image's artistic worth and 'M' refers to its mathematical interest. In today's ratings, I show that I consider the artistic worth of the image to be worth an 8, and somewhat better than the mathematical interest, which rates a 7. The image was created when I combined 1.3 parts of Z^2 with 10 parts of an unlikely Z^(-0.01) before adding straight (C) on each iteration. The parent fractal is most curious. It does not appear on the default screen, which is a total blank, but lies instead in the area around negative 10 on the X-axis. This parent resembles a Mandelbrot set being moth-eaten from the west. Today's scene is located in the East Valley area of a kind of jagged minibrot on the north edge of the moth-eaten area. Much of the image's effect is due to its rendering. To add some extra impact, I rendered it with the outside set to 'tdis' and the inside set to 'fmod'. The normal rendering, with the inside a flat black and the outside set to the iteration count, is rather boring. The name "Forbidden Universe" could be the name of a sci-fi adventure movie, but it is actually a reference to the infinity of equally real alternate universes that the erudite physicists are telling us most likely exist. (Of course, the physicists might be nuts! Some very rational skeptics already think so!) The calculation time of 2-3/4 minutes borders on slowness and might possibly turn away some potential new fractal fans. This is where the web sites do their time-saving work. The fractal calculation may be avoided by viewing the finished image in lo-rez at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def renderings at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and past images at: <http://www.Nahee.com/FOTD/> Uneventful weather prevailed here at Fractal Central today, with mostly sunny skies and a temperature of 79F 26C. The fractal cat, who is getting up in years and does not get to go outside like the past fractal cats Thomas and Tippy did, slept through the afternoon. The humans spent the day relaxing, which is getting ever more difficult to do in this ever-more-addictive culture we live in. The next FOTD fractal will be posted in the not-too-distant future. Until that ambiguous time arrives, take care, and we hear lots of talk about social 'change' and a fairer, more even distribution of wealth, but nothing ever changes. Poverty should be easy to eliminate. Since poverty is defined as a lack of the money needed to live a comfortable life, it could be eliminated by giving the underprivileged enough money to enable them to live comfortably. Why then do the world's governments refuse to distribute money to the underprivileged and end the unrest caused by the prevailing social injustice? Maybe the well-to-do need disposable scapegoats to blame for the problems brought about by their own misdeeds. Then again, maybe living an impoverished life is simply a part of the nature of some people, and poverty can never be permanently eliminated by giving money, which will soon be squandered. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Forbidden_Universe { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-10.38329737855416/+0.5276798594052841/\ 1892462/1/180 params=1.3/2/10/-0.01/0/0/0/0 float=y maxiter=1200 inside=fmod outside=tdis colors=000KIzIIzGIz9EzEIzJLzOPzTSzYVzbZzgazlezqhzy\ lzukzqjzmizihzegzafzYezUdzQczMbzIazE`zA_z6Zz2Zz3`z\ 4az5cz5dz6ez7gz8hz8jz9kzAlzBnzBozCqzDrzFtzDszCszAr\ z9rz7qz6qz4oz3pz2pzErzPsz`tzkuzlszlqzlozmmzmkzmizn\ gzneznczoazo_zoZzj`zfazbbzYczUdzQezMfzHgzDhz9iz4mP\ 5jN5gM6eL6bJ7`I7YH7WG8TE8RD9OC9MBAJ9AH8AE7BC6B90C7\ 3C42A20800600500300O0VQ5`SAfUFkWHlYLl_MmaJmjHnkFol\ DpmErkEngBnc5mW1eS3ZO4US6ZW7a_8daAfcBfeCeeEdcFcbGb\ aI`_J_ZLZYMXWNWVPVUQUSRSRTRQUQPVPQWNQXMQXLQYKQYJQZ\ IQZGQ_FQ_EQ`DQ`CQaBP`9QaARaBSaBTbCUbCVbDWcDXcEYcEZ\ dF_dF`dGaeHbeHceIdfIefJffJggKhgKigLjgLghJejIclHanG\ _pFYrEWtDUuCWnGYgJ_aNaVQcOTeIXgB_h5bmDcqLduTey_fb_\ RG_CHZJIYPJXVKW`LVfMUlNTrNTxMPrMMmMJhLGbLDYLATKCSJ\ DRIEQHFQGGPFIOEJODKNCLMCMMMUGW`Beg5on0ni4md8l_ClWG\ kRKjMOjISiDWh8_h4blQPpjCleHi`LeWQbRU_MYUPbPRfKTjFV\ nAXr5Zv8XtBVrSJMQIMOIMMIM } 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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AOTD 6_4_13
by JackOfTradeZ＠comcast.net 09 Jun '13

09 Jun '13

. The imagery is astounding; it seems like any real world phenomenon can be emulated by a fractal and a simple equation! You clearly see a large ship from a perspective just off the starboard bow. You see the hull, forward keel, deck, bow, air and water, with a distinct "3D" aspect right at the "water line"! This is the famous "burning ship" fractal, which I finally figured how to do in fractint (with a pointer from Michael Condron). There is a HUGE difference in render time from passes=1 to passes=g, and if iterations are more than a few hundred thousand it becomes impossible. A strange fractal. Looks like ships on fire, and a scene of the aftermath of a great sea battle - all burning. Alternatively, the "fire" takes on the appearance of ghostly castles and rising spires; St. Elmo's fire on steroids. The actual burning ship is not the parent fractal, it is the first largest "mini" along the spike, and you need to rotate the axis to get it in proper orientation. In a FractInt "*.frm" file, the classic Mandelbrot is: Mandelbrot (xaxis) { ; z = 0, c = pixel: z = z*z + c |z| < 4 } To make the burning ship, do this: ship1 { ; z = 0, c = pixel: z = abs(z)*abs(z )+ c |z| < 4 } Or this, which seems to render a bit faster: ship2 { ; z = 0, c = pixel: z = (abs(z))^2+ c |z| < 4 } 2 min 33 sec running time, 640x480 WMV, 45 MEG: http://www.fractal-animation.net/vid/ship.zip If you got the fractal stones for a 103 MEG download, this is a 1280x720 Hi-Res file: http://www.fractal-animation.net/vid/ship1280.zip Enjoy! JoTz .

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Burning Ship
by JackOfTradeZ＠comcast.net 08 Jun '13

08 Jun '13

. My weblog says many download attempts, and most were incomplete. Is everyone having trouble downloading it? Is the file too big? Did anyone successfully play it? There have been no comments. I think it is one of my best, thats why I uploaded the big hi-res file. I can make a smaller file for download if anyone wants. . '

5 4

FOTD 07-06-13 (Bright Shadows [A-7,M-6])
by Jim Muth 07 Jun '13

07 Jun '13

FOTD -- June 07, 2013 (A-7,M-6) Fractal visionaries and enthusiasts: Today's intricate fractal came to life when I rendered a relatively ordinary fractal with the 'outside' set to 'fmod' and the proximity set at 0.25. This 'fmod' option all too often results in little more than a flat blank screen, but when it does work, as it does in today's image, the results can be well worth the effort. Today's generating expression combines Z^(2.05) with straight Z before adding straight C on each iteration. The resulting parent fractal resembles two partially merged Mandelbrot sets. Today's scene lies in the outer debris on the west shoreline of the main bay. The name "Bright Shadows" has nothing to do with an old TV soap opera. It refers to the brilliant patches spotted throughout the frame. With a rating of a 7, the image's artistic worth exceeds its math worth, which scores a rating of only a 6. The calculation time of 1-1/3 minutes will worry no one, especially those who choose to view the image on one of the web sites. The finished image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> with an enhanced rendering at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Thousands of past images may be checked and admired at: <http://www.Nahee.com/FOTD/> Today began cloudy here at Fractal Central and went downhill when the rain from T.S. Andrea arrived at noon. The chilly temperature of 66F 19C failed to bring cheer. The fractal cat gave up early and spent most of the day in my favorite chair; the fractal humans, who never give up, strongly disapproved of the weather conditions. I doubt that there will be time to produce a FOTD fractal tomorrow, so the next FOTD will be posted in two days. Until then, take care, and avoid becoming attached to any particular fractal. They have a way of vanishing without warning into the ether. (BTW, what is this 'ether' that things vanish into?) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Bright_Shadows { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-1.574988358385002/+0.01397662935983304\ /4.689995e+011/1/80/0 params=1/2.05/1/1/0/0/0/0 maxiter=1750 inside=0 proximity=0.25 outside=fmod logmap=yes periodicity=10 mathtolerance=0.05/1 colors=000260560A62E62H62K62P63T63W63`65c65g65j65o\ 67s67v77v78v98v98v6Av98vA8vC7sE7lG5eH5`J5UL3NO3HP2\ CR25T20U00W00Y00Z00`00Z50YA0WH0UL0TR0RX0Pa0Oh0Mm0M\ r0Om0Pj2PeARaJTXPTUCLf0Ct06t06t09t0Ct0Gt0Jt4Mt7PtA\ TtEWtHZtKbtNetRitUltYot`stcvtgytjztmztpzttztvztvzt\ vztvztvztvztvztvztvytvvtvstvotvltvitvjtvjtvjtmltel\ tYltPntHnt9nt9ntAotAotAotCqtCqtEqtEqtFstFstHstHttJ\ ttJttKyqJtkHqkFnkFjkEghCbeCZaAWZ9TW5OU9PSCPSERRHRR\ KRRMTPPTPTUPUUNYUN`WNbWLeYLhYLjbKmgKsoKvwcvzmvzzvz\ zvzmvzcvzCvz8mw5eo2Yg0PZ0HR09J04E00A34CA9GHEHNJLUN\ O`TPfYTmbUteYtiYtfWtcRtZMkUGcPBWK6PF6DC48A33903A33\ C42C67G67J67M68P68T6AW6AZ6Ab6Ce6Ch6Dl6Do6Ds6Fv6Fv6\ Hv6Hv6Hj7LPLP5YS9ZUAZUCZWE`WF`XH`XJ`XP`cWZhbZmhYto\ YtvWtvWtvbtvgrtnksscoyWmzPjzHhz8gz2`zAWzIRzPMzXHzc\ Czk7yrJOLT60Y60bP0gi0lz3pz7oerjbme`h`YeWW`RTWNRSJM\ NFHKCEH99D468065062060060 } 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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