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FOTD 29-03-12 (Web of Fantasies [7])
by Jim Muth 29 Mar '12

29 Mar '12

FOTD -- March 29, 2012 (Rating 7) Fractal visionaries and enthusiasts: To find today's image I returned to the curious parent fractal of March 24. But today, instead of checking Scepter Valley, I checked East Valley, where I investigated the debris and found a network of cobwebs. I named the image "Web of Fantasies", referring to the spider-web network surrounding the central minibrot. The web part of the image works out well, but the colors closer to the central minibrot are definitely lacking, which holds the rating to an everyday 7. Unfortunately, I had too little time to reveal all this image has in it. The calculation time of 35 seconds will pass in a flash once the parameter file is set up and run. Make life easier by downloading the finished image from the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition rendering is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Thousands of back FOTD's may be accessed at: <http://www.Nahee.com/FOTD/> The day dawned cloudy and notably cooler here at Fractal Central, with a brisk northwest wind making it feel like the end of March should. The clouds continued most all day, though a few breaks did appear later in the afternoon. The afternoon high temperature of 52F 11C was just about normal. The fractal cats wanted more sun, less wind, and warmer temperatures. They got an extra treat instead and were pretty happy. The humans spent the day doing routine human things. We have a busy schedule coming up, so the next FOTD might not be posted on schedule, but it will eventually appear. Until whenever, take care, and try to see the light through the fog. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Web_of_Fantasies { ; time=0:00:35.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+0.2472121822362146/+0.0171745348970608\ /1.199e+011/1/-22.5/0 params=0.4/2/-0.01/-9/0/0/0/0 maxiter=550 inside=0 logmap=64 periodicity=6 mathtolerance=0.05/1 colors=00000800A00D00G00J30M41P52S63V74Y85`96cA7eB\ 8gC9iEAkHCnMFqSJtYOyaUzc`zehzgoziqzhzzROjSGrSElSDg\ SCaSAXS9RS8MS7HSCGSGFSKFSOESSDSWDLPJFIP9BUHBWOBXWB\ ZbB_iB`RIN9OACLCEIEGFGICHK9JM6LO3NQ1OEMS2fW3cZ4a`5\ Zb6Xd7Uf8ShKNBHJHEFNBBT87Z53d97aDBZHEWLIUPMRTPOXTL\ `WJZYHY_GX`FWbDVdCUeBYhBakBenBhqBltBpwBszBmrFgkJbm\ NXmRRmVMmYOmYPmYQmYRmYTmYUmYVmYWmYXmYMmfhmxXjuMmr4\ mw5mv6mu7mt8ms9mrAmqBmpVmROm_HmgQmsNmrLmqbsZbsZbs_\ bs_as_as_as_at_at_at_at_`t_`t_`t_`t_`u``u``u``u`_u\ `_u`_u`_u`_v`_v`_v`Zv`Zv`ZvaZvaZvaZwaZwaYwaYwaYwaY\ waYwaYwaYxaXxaXxbXxbXxbXxbXxbXxbWybWybWybWybWybWyb\ WybWybVwcUucTtdSrdRqeQoeQnfPlfOjgNmgMmhLmhKmhKmiJm\ iImjHmjGmkFmkEmlEmlDmmCmmBmmAmn9zn8zo8zo7zp6zp5zq4\ zq3zr2zr1zq2zr2zr2zr2zr2zr2zr2zr2zr3zr3zr3zr3zr3zr\ 3zr3zr3zr3zr4zr4zr4zr4zr4zr4zr4zr4zr4zr5zr5zr5zr5z\ r5zr5zr5zr5zr5zr6zr6zr6zr } 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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fractal break
by Sebastien Helie 29 Mar '12

29 Mar '12

I'am good for a few week of fractal break, after a while i feel drain of math energy and the resulte feel like being redundant. Since everything is in relation with fractal, time will refuel my fractal cell. will be back in May, -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/ start parameter file=========================================== pique1 { ; spring fractal reset=2004 type=formula formulafile=2012_5.frm formulaname=solid function=log center-mag=+0.70703546760126290/+0.00001011738993105/388.5606/1/90/3.885\ 78058618804789e-016 params=0.47/100/0.42/1 float=y inside=0 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\ O<3>ccchhhmmmssszzz00z<2>j0z<8>J0QG0LD0H<3>000<8>`NIeQKiSM<3>zbV<8>QGDLD\ BHB9<3>000<8>MIGPKIRMJ<3>aUR<3>LHFHECDA9<2>000<8>4G04I05K0<3>7S00S0<3>0S\ S<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2\ >SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2\ >04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2\ >FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:solid{;sinpix a=real(p1) b=imag(p1) c=real(p2) d=imag(p2) z=e=fn1(pixel): x=tan(z)+sin(z) y=z^a+e u=z^b+z-1 s=c*z^(sin(z)) t=1/d*z^2+(1/d*z-1^2) fr=z*x+z*y+u*s*t z=fr^z+d*e |z|<100 } end parameter file============================================

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FOTD 28-03-12 (Shifting Gears [7.5])
by Jim Muth 28 Mar '12

28 Mar '12

FOTD -- March 28, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: In today's FOTD we get a glimpse into the world of high-order fractal images, which can be nowhere near as boring as first appears, when they are done right. As a demonstration, in today's FOTD we check the East Valley area of the half-morphed large minibrot on the main spike of the parent fractal, which is a Mandelbrot set with Z^31 tendencies rather close to the surface. This location abounds with areas of erosion that are full of Z^31 minibrots arranged in the patterns that would normally be expected in this part of the Mandelbrot set. I went quite deep into the parent before I found today's scene, which lies in a much larger but similar scene. I named the image "Shifting Gears" when the scattered order-31 minibrots reminded me of a fantastic nest of crushed cogwheels. The rating of 7-1/2 reflects my opinion of the true worth of the image, which is held down somewhat by the similarity of many recent FOTD images. The calculation time of a mere 30 seconds makes running the included parameter file at least a breeze if not a hurricane. And this minor inconvenience of calculation may be avoided by viewing the completed image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition rendering is online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> All the past FOTD images and discussions may be accessed at: <http://www.Nahee.com/FOTD/> The day began cloudy here at Fractal Central. A brief light thunder-shower passed over at 11am, followed by a sunny afternoon with a temperature of 68F 20C. The fractal cats were pleased by the warmth, but would have preferred to have more of the sun coming straight in the windows. The humans, who have heard more than enough over-hyped media talk about racial hatred recently, were left wondering what the real problem is. The next FOTD, with no fractalish hatred involved, will be posted in 24 hours. Until then, take care, and no problem will ever be solved until people are willing to see the true nature of the problem. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Shifting_Gears { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=JulibrotMulti2 function=recip center-mag=-1.747579800976048/+0.0016262212467862/\ 3.1326e+012/1/50/0 params=31/1e+040/0/0/0/0/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000W4ES3AP36TCHWLSZUbabmNMxLQuJUrIXoG`lEdiD\ gfBkcKna9hZAfW6XT5RQ4LN3GL7JQBIUFPZISbMVgQYkU`pXbt\ nqzsnzsrzsrzkmzZSfMJgAAhFGjKLkORlTWmY`oaUpfUqUUrlU\ dUURlUPUdNj_LUUJUOHgJGjPMUVRU`WUUaUUfUUkUUpcUrUUtf\ FufNwaKcQIzbCJaAI`HH_Ab`4FYAMZ3S_3Y`2dX2jT2pV5iX7b\ ZAW`CQbFJdHCeJ6WHJNGVEFg5EsAGmEIhJKcNMZSOUWQP_RKYO\ PWMUUKZTHbRFgPDlOBpQDmRFjTGhUIeVKbXL`YNYZOWb_Iej4b\ b5`V5YN5WF5U85RVQOpjLnkJlkGklEilBgm9fm6dn4cn8ahC`b\ FZXJYRNWLQVFUT9XS3`ZUdesddmdchdbcdbZdaUd`Pd_Kd_FaU\ L_PRYJWWEaU8gS3lR7eRA_RDTQGNQJGQMARTKS_UTfcb`alV_u\ PZdaSOmL8yFV7lU9mUAmTCmTDmTEmSGmSHmSImIEOMFQPFRTFS\ WFT_GVbGWfGXiGYiLXjQXjVXkTUkSSlRQlPOlOMmNJmLHnKFnJ\ DnHBoG8oF6pD4pC2pB0fH1XM1NS2DX2EW6FW9GVDHVGIVJJUNK\ UQLTUMTXNT_OScPSfQSiTVjWXkZZka`ldblgemjgmminpknsmo\ voounnunnunnunnumnumnumnumnolljkkeji`jhWigRheMgdHg\ cGfdFeeEdfDcgCbgBahA`i_5J } frm:JulibrotMulti2 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p2*0.0055555555555556), b=pi*imag(p2*0.0055555555555556), g=pi*real(p3*0.0055555555555556), d=pi*imag(p3*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), aa=-(real(p1)-2), bb=imag(p1), c=p+flip(q)+p4, z=r+flip(s)+p5: z=(bb)*(z*z*fn1(z^(aa)+bb))+c |z|< 6 } END PARAMETER FILE=========================================

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Re: FOTD 24-03-12
by Brian Prentice 27 Mar '12

27 Mar '12

The parent fractal featured in Jim's FOTD for 3/24/12 is rich in beautiful shapes. Here are some more examples of what it contains: http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_49a.png http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_49b.png http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_49c.png http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_49d.png http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_49e.png http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_49f.png Brian Prentice

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FOTD 27-03-12 (A Quartic Liter [7])
by Jim Muth 27 Mar '12

27 Mar '12

FOTD -- March 27, 2012 (Rating 7) Fractal visionaries and enthusiasts: Today's image exists in an oversized parent Mandelbrot set with quartic corruption in its depths. The image lies in a patch of left-over debris inside the main bay of the first large minibrot beyond the very large minibrot on the main spike of the near-perfect parent M-set. The central 8-lobed object with the large triangular minibrot in its center is filled with smaller similar minibrots. It is also filled with peaks and ridges of anti-bifurcation, though none of these appear prominently in the image. I whimsically named the image "A Quartic Liter" because there is more to a liter than a quart -- about 1-3/4 ounces in fact. The rating of a 7 means that I consider the image's worth to be very close to average. Luckily, the calculation time of just under 2 minutes is also very close to average. The finished image may be viewed on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> without worrying about averages. A high-definition version of the image may be viewed at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> All the past FOTD images and discussions are online at: <http://www.Nahee.com/FOTD/> The day began with clear skies but a frosty temperature of 25F -4C here at Fractal Central. Once the sun got to work however, things warmed to a much more pleasant though still chilly temperature of 48F +9C. The fractal cats found some comfort in the afternoon sun, which because of its increasing angle is falling on an ever shrinking inside area. The humans, FL and I, had an average day, with nothing happening that was worth mentioning. The next FOTD will be posted in 24 hours. Until then, take care, and if a person does not want a thing to be true, he simply denies it exists, and if enough people believe him, the thing does not exist. It's magic! Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Quartic_Liter { ; time=0:01:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-78.57601898545273/+0.00646342578801489\ /6793068/1/1.5/0 params=4/44 float=y maxiter=4200 inside=0 logmap=90 periodicity=6 colors=000E0UF0UG0UH0UI0UJ0UK0UK0UK0UK0UK1UK2UK3UK\ 4UK5UK6QK7MK8OK9RKAUJBXIB_FCbECeDDhCEkBFnAGq9Ht8Iw\ AIzCItEJoGKjIKeKJaMIYLHVKHTJHRIHOHGMGGKFGHEGFDFDCF\ ABF8AF6EH8HI9KKAOPBRUFUZKXcP`hUcmZfrcivhmzmpzrszvv\ yzzxvzwrzvmzuhztczsZzrUzqPzpMzoJznIymIxkHwiHug2se4\ qc5oa6m_7kY8iWAgUBeSCbQD_OEYMGVKHSIIQGJNEKLCLLDLKD\ KKDKKDKKDJKDJJDIJEIJEIJEHJEHJEHIEGIEGIEGIFFmzzmzzm\ zzmzzmzzmyzmxzhwmhvmhtmhsmhrmhqmcphcofcnecnecmdcmd\ cmdclcclcUkcUkbUkbUjbUjaUjaKiaKi`Kh`Kh`Ch_Cg_Dg_Dg\ ZDfZDfZDeYmeYmeYmdXmdXmdXmcWmcWmbWmbVDbVDaVDaUm`Um\ `Um`Tm_Tm_Tm_SmZSmZSmYRmYRmYRmXQmXQEXQEWPEWPEVPEVO\ EVOEUOEUNFUNFTNFTMFSMFSMFSLFRLFRLFQKFQKFQKFPJFPJFP\ JFOIFOIFNIFNHFNHGMHGMGGMGGLGGLFGUFGUFGUEGUEGUEGUDG\ UDGUDGcCGcCGcCGcBGcBKcvKcqKcmUmhUmdUm`_mWWmSSmOOmJ\ KmFdmCcmBcmBbmBbmBbmBamBamBamB`mB`mB`mB_mB_mB_mBZm\ BZmBZmBYmBYmBYmBXmBXmBXmB } 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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FOTD 25-03-12 (The Emerald Path [8.5])
by Jim Muth 26 Mar '12

26 Mar '12

FOTD -- March 25, 2012 (Rating 8.5) Fractal visionaries and enthusiasts: Today's FOTD is late. The reason is that there were so many other tasks waiting to be done here at Fractal Central that I had no time to prepare and post the image on schedule. To get the FOTD up to date, there will be no FOTD for March 26. Today's image is a scene deep in the FOTD image of two days ago, March 23, which is located in the Seahorse Valley of the largest minibrot in the north period-3 filament network. Other than the coloring, the greatest interest lies in the fine example of anti-bifurcation the image displays. The number of elements doubles and gets cut in half in a most unpredictable manner as the central minibrot is approached. The image earns the rating of an 8-1/2 because of this anti- bifurcation and also because of the spectacular emerald coloring. The name "The Emerald Path" is a comment on the color palette. The calculation time of 1-1/4 hours indicates that the image lies well within the range of arbitrary precision math. In cases like this, the FOTD web sites perform their greatest service by making the finished image available online almost instantly. To avoid the excessive calculation time, view the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition version of the image is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The past FOTD images may be seen at: <http://www.Nahee.com/FOTD/> A cloudy morning here at Fractal Central today gave way to some sun in the afternoon, but the clouds returned in the evening, ending the day on a somber note. The fractal cats would have preferred a temperature warmer than the 61F 16C, but took what they got without complaint. The humans had a day of recovery from the day before. The next FOTD is due to be posted about 32 hours from now. The odds are it will make it. Until whenever, take care, and when you dream that you are dreaming, are you really dreaming? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Emerald_Path { ; time=1:15:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-0.1623\ 5016889422479413979673/1.035181817925917717562196/\ 2.45e+021/1/127/0 params=0/0 float=y maxiter=18000 inside=0 periodicity=6 colors=0000K00K00L00L00M00M00N00N00O00O00P00P00Q00\ Q00R00R00S00S00T00T00U00U00V00V00V00W00W00X00X00Y0\ 0Y00Z00Z00_00_00`01`02a03a04b05b06c07c08d09d0Ae0Be\ 0Cf0Df0Eg0Fg0Gh0Hh0Ii0Ji0Kj0Lj0Mk0Nk0Ol0Pl2Qm4Rm6S\ n8TnAUoCVoEWpGXpIYqKZqM_rO`rQasSbsUctWdtYeu_fuagvc\ hvcgwafw_exYdxWcyUbySazQ`yO_xMZxKYwIXwGWvEVvCUuATu\ 8St6Rt4Qs2Ps0Or0Nr0Mq0Lq0Kp0Jp0Io0Ho0Gn0Fn0Em0Dm0C\ l0Bl0Ak09k08j07j06i05i04h03h02g01g00f00f00e00e00d0\ 0d00c00c00b00b00a00a00`00`00_00_00Z00Z00Y00Y00X00X\ 00W00W00V00V00V00U00U00T00T00S00S00R00R00Q00Q00P00\ P00O00O00N00N00M00M00L00L00K00K00J00J00I00I00H00H0\ 0G00G00F00F00E00E00D00D00C00C00B00B00A00A009009008\ 00800700700600600500500400400300300200200100100000\ 00000000000010010020020030030040040050050060060070\ 0700800800900900A00A00B00B00C00C00D00D00E00E00F00F\ 00G00G00H00H00I00I00J00J0 } END PARAMETER FILE=========================================

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FOTD 24-03-12 (Cream of Fractals [7])
by Jim Muth 25 Mar '12

25 Mar '12

FOTD -- March 24, 2012 (Rating 7) Fractal visionaries and enthusiasts: Today's image is late; accept my apologies. An antiquing trip to Annville erupted around noon, and we did not arrive back at FC until after 7pm. The name of today's image, "Cream of Fractals", came to me as I cooked a pot of a well-known breakfast cereal, when the bubbles in the cooking cereal reminded me of the details in the green area of the image. The simple iterated expression subtracts 0.01 part of Z^(-9) from 0.4 part of Z^2 and adds straight C on each iteration. The resulting parent fractal resembles a distorted Mandelbrot set with its bays partly filled with cell-like features. Today's image lies near a rather large minibrot in the area of Scepter Valley. The rating of a 7 indicates average satisfaction on my part. I might have raised the rating another point if I had put more effort into the coloring, rather than letting the image go with one of Fractint's random color palettes. The calculation time of 1-1/2 minutes is a pretty good deal, though even this little effort may be saved by viewing the image on one of the web sites. The official FOTD web site is online at: <http://www.crosscanpuzzles.com/Archives.html> A high definition version of the image is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original, now classic, FOTD site may be accessed at: <http://www.Nahee.com/FOTD/> The spring-like weather that has been gracing Fractal Central for over a week came to a sudden end today as heavy clouds moved in and periods of rain wet the blossoming plants. The fractal cats registered strong complaints about the lack of sun, the lack of humans, and the temperature of only 59F 15C. The next FOTD will be posted in 24 hours. Until then, take care, and once upon a time there was a certain school with 400 students who said a prayer every day at the start of classes. Everyone was happy, but then an Atheist boy enrolled and complained to his parents that he had been forced to hear the other students pray to a god he did not believe in. When his family took legal action, the school was ordered to stop the prayers. Instead of one offended student, there now were 400 offended students, but everyone said they felt good because the problem had been solved and justice for all had been done. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Cream_of_Fractals { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-3.644626800694294/-0.2717701549892642\ /1.9e+012/1/-107.5/0 params=0.4/2/-0.01/-9/0/0/0/0 float=y maxiter=1000 inside=0 logmap=123 periodicity=6 mathtolerance=0.05/1 colors=0003DK3CJ2AH29G27E26C15B1391281060040030016\ 90680670750730710700600LYiHSaEMUAHN7BF357GpDFmCEiB\ DfACb9BZ8AW89S78Q67M56I45F44B3362221110S2DP1BN1AL1\ 9I18G17E16B05904703402201g9Sb8OY7LT6IO5FJ4CE399264\ 13tOUqMSoLRlKQjJOgINeHMbGK`FJYEIWDGTCFRBEOADM9BJ8A\ H79E67C56945733422211gH5cF4`D4YC4VA3S83Q83N73L62J6\ 2H52F41D41A31821620410200A30K60P90U70P60K50F30A205\ 10hBsdAoa9kZ8gW7cS7_P6WM5SJ4OG3KC3G92C618304nOiiLd\ dJ``HXWFTRDPNAKI8GD6C98C4AC4FC3KD3PE3UFRUULUzGUUAU\ E5U7cXYZTUVPQQMMMIIHEFDBB877433`dIX`GUYFRUDORCLNAI\ K9FH7CD69A46633312rb1n_1jX1gV1cS1_Q1Xz1TzAhzAkz9nz\ 9qzGmzMizSfzRgzRgzQgzQgzQgzPgzPhzO_zOazOczNezNgzMi\ zMkzMmzLozLqzLrzMszKtzJuzHv7Gw6cx6cy5cz5cz4cz3cz3c\ z2mz2mz1mz1mz1mz0mzCmzAmz9mz8zzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\ 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 22-03-12 (Unlucky Thirteen [7+])
by Jim Muth 25 Mar '12

25 Mar '12

FOTD -- March 22, 2012 (Rating 7+) Fractal visionaries and enthusiasts: Today's image lies in the East Valley of a minibrot far out on the negative spike of a Mandelbrot set with Z^13 corruption in its depths. The bailout radius has been intentionally set close to the point where the entire image will be totally cut off. This adds more detail to the scene. The image magnitude of almost 10^13 is perilously close to the point of resolution breakdown, though this has little effect on the scene. (Fractint bug alert: if the value of the imag(p1) parameter is entered in the parameter file as 1000000000000000 , the program reads the value as -1530494976 Changing the parameter file entry to 1000000000000000.0 [adding a decimal point and a zero] cures the problem. Something else is being picked up, but I cannot see what.) The name "Unlucky Thirteen" refers to the Z^13 corruption of the parent fractal. Actually thirteen is considered unlucky because it was on a Friday the thirteenth that the order went out to destroy the Templars. The rating of a 7+ indicates my uncertainty as to the true worth of the image. With its calculation time of only 20 seconds, the image is another fireball. But setting up and running a parameter file is still a minor chore. This nuisance may be eliminated by viewing the image on the web sites. The FOTD fractals are posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> High definition versions of the images are posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> All the past FOTD images and discussions are online at: <http://www.Nahee.com/FOTD/> Morning clouds broke by mid-afternoon here at Fractal Central, letting through just enough sun to raise the temperature to a balmy 72F 22C. The fractal cats would have preferred more sun. The humans spent the day keeping busy, which took little effort. A minor political difference at lunch time was settled before it grew. The next FOTD will be posted in 24 hours. At least, it's supposed to be posted then. Until whenever, take care, and always remember that every argument has two sides. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Unlucky_Thirteen { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.999079391269402/+0.0000036636302721/\ 8.191939e+012 params=13/1000000000000000.0/\ -12.003665/0 float=y maxiter=300 inside=0 logmap=39 periodicity=6 mathtolerance=0.05/1 colors=00000A10B20C30D40E51F62G93HC4IG8JMBKSFJ_IId\ MAiP2lT5nW7p_9sbBzeEziGzlIzoKCSREVUGYXI`_KcbMfeE6d\ LDbA0KzzzYg`zA9oFDdJGUNJ6RvARlDRc6PD6J2CGMIEeRHZ_K\ ShNLqPEkLFfHGaEGQTSEfb3tmKWj_7hWUJRHX_SGZRFZREYRCX\ RBWRAWQ9VQAUQATQATQAURAVSUVSUWTUWUUXUUXVUYVUYWUZXc\ ZXc_Yc_Yc`Zc`_ca_ca`cb`mbamcbmcbmdcmddmedmeemfezff\ zggzggzhhzhhziizijzjjzjkzkkzklzlmzlmzmnzmoznoznpzo\ pzoqzprzprzqszqszrtzruzsuzsvztvztwzuxzuxzvysxztvys\ txsrxspwsowrmvrkvriurhuqftqdtqbsq`rq_rpYqpWqpUppTp\ oRooPoohizijzjkzkkzllzmmznmzonzpnzoozopzopznqznqzn\ rznrzmszmszmtzltzluzluzlvzkvzkwzkwzjzqjzsjzukzwjzv\ jzvjzvjzuizuizuiztizthzthzshzshzshzrgzrgzrgzqgzqfz\ qfzpfzpfzpezoezoezoeznezndzndzmdzmdzmczlczlczlczkb\ zkbzkbzkbzjbzjazjaziaziazi`zh`zh`zh`zg_zg_zg_zf_zf\ _zfZzeZzeZzeZzdYzdYzdYzcYzcXzcXzbXzbXzbXzaWzaWzaWz\ `Wz`Vz`Vz_Vz_Vz_WzZVz_Vz_ } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 23-03-12 (Cheap Satisfaction [7.5])
by Jim Muth 23 Mar '12

23 Mar '12

FOTD -- March 23, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is named "Cheap Satisfaction". Unfortunately, the word 'cheap' often implies a lack of quality, so "Less Expensive Satisfaction" might have been a better name. This name would not have fit into the 18-character space however. The less-expensiveness refers to the parent fractal -- the one and only Mandelbrot set, which in the Fractint program has been programmed for top speed, and despite its almost hackneyed familiarity, still holds an infinity of unseen images. An image such as today's, with its calculation time of under 15 seconds, must certainly be considered cheap. The unusually rich minibrot in the image lies in a spiral in a mini Julia set on a filament in the south branch of the Seahorse Valley of the large minibrot on the west branch of the filament extending from the large period-3 bud on the north shore of the main bay of the Mandelbrot set. (Try to read this aloud without taking a breath.) I might have given the image a rating a point or so higher than the 7-1/2, but when I saw the final fractal, the colors impressed me as being somehow too busy and overly gaudy. One thing that no one can complain about however is the calculation time, which even at the indicated 15 seconds is far too slow. On many machines the image will be finished before the monitor can switch to super-vga mode -- an incredibly small price to pay for any fractal. For satisfaction that is even less expensive, check the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> For more intense, equally inexpensive satisfaction, check the high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> All the thousands of past FOTD images and discussions are available online at: <http://www.Nahee.com/FOTD/> The day began with fog here at Fractal Central, giving the impression of a dreary day to come, but by late morning the fog cleared off, leading to a very pleasant afternoon with lots of hazy sun and a summer-like temperature of 79F 26C. The fractal cats enjoyed the sun while the humans, who were too busy to enjoy the sun, merely observed it. The next FOTD is due to be posted in 24 hours. But tomorrow is Saturday, and the Saturday FOTD's are often rather late, so there is no guarantee of promptness. Until then, take care, and strive to bring justice to others, but don't expect to receive it in return. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Cheap_Satisfaction { ; time=0:00:10.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-0.1623501688944\ 752/+1.035181817925384/1.317e+012/1/-8/0 params=0/0 float=y maxiter=8400 inside=0 logmap=1025 periodicity=6 mathtolerance=0.05/1 colors=00000800900A00B00C00D00E11F22G33H44I55J66K7\ 7L88M99NAAOBBPCCQDDPEEOGGNIINKKMMMLOOKQRJSTJUVIWXH\ XZGY`FdbFfdEkgDoiCpkBrmBwoAwq9ws8wu8ztAytCxtEwtGvt\ IusKusMusOusQusSzrUzrWzrYzr_zrazrczqdzqdzqewqewqev\ qfuqftqfspgrpgspgsphsphsphtpitpitoiuojuojuojuokvok\ vokvolwnlwnlwnmwnmxnmxnnxnnxnnvloujpshprfqpdqobrnY\ TbZ4Jn2c7sSsYESHxJvSlciEOb9GJ48RLYDAH8dM4KBOsFG`A8\ I5tjqaV_JFIEjuy3yi2iV1VF0FfEppWf1l10_00O00C0dg9FFQ\ l9qW6_G3IwGiU8N0kC0_90O60C3sjvSNTMSmVZJScKIWD9L6AH\ B7D85H52U2F_AV`7LP5AC2`0Jl2S_1LO1EC07IKh9AMCXs9Oe6\ GS3aESlQzzJESD7E64z92e61L3z5`e3OL1CdFuUBfK7TA3EnhN\ aXHPMBCB5a_UPOKCCALTOAECmJ6`E4P93C41l`mOIPgZqMHRha\ 0R39KK6Da46`2_B4OK2CU1HFvMUbBUJdVjeUjKYjUQjUajUbjU\ djUejmZzmWzmdz3nz2wFNoUfghz_vkmZYmBZmA_mA`mAamAam9\ bm9zmzzmzzmzzmzzmzzmzzmzzmzizzjzzkzzlzzmzzmzznzznz\ zozzozzpzzpzzqzzqzzrzzrzz } END PARAMETER FILE=========================================

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plasma_flow
by Sebastien Helie 23 Mar '12

23 Mar '12

More i grow in fractal more i feel like my computer is a living organisme on is own, yesterday i spend the evening traveling thru a fractal organism. -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/ start parameter file========================================= plasma_flow { ; fractal organisme reset=2004 type=formula formulafile=2012_4.frm formulaname=tristesse1 center-mag=-1.06716/0.00124207/31.77024/1/-90/-1.23373533611470521e-014 params=1/-1/10/0.001 float=y inside=0 potential=120/200/0 colors=000<3>000000000000000<8>EEEGGGHHH<2>MMMOOOSSS<2>ccc<8>HHHEEEBBB<3\ >000<8>NI`QKeSMi<3>bVz<2>zVz<2>zVb<8>QDGLBDH9B<3>000<8>Y`RaeUeiX<3>uzh<2\ >hzh<3>hzzhuzhqz<8>IMQFILCFH<3>000556313<6>G8GI9IKAK<2>QDQSESSEO<2>SEE<3\ >SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KS\ QKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8\ AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GF\ BGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:tristesse1{;sinpix a=real(p1)*0.666 b=imag(p1)*0.666 c=real(p2)*0.666 d=imag(p2)*0.666 z=pixel: g=tan(z^a) f=(1/z^1/b)*e z=z^g+z/f+1/(d+z)^pi |z|<4 } end parameter file==================================

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