March 2014 - Fractint - mailman.xmission.com

FOTD 27-03-14 (Mystery Epicycles [A-7,M-9])
by Jim Muth 28 Mar '14

28 Mar '14

FOTD -- March 27, 2014 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Believe it or not, today's image has the same 'C' coordinates in the Mandelbrot set as yesterday's. But the appearance has totally changed. The central minibrot as well as everything around it has vanished and been replaced by a series of 14 converging arms. The reason for the change is the real(p3) parameter, which has been raised from zero to 0.248 and thereby offset the slice ever so slightly in one of the other six directions that are perpendicular to the plane of the image in the 8-D Julibrot. The name "Mystery Epicycles" refers to the 14 converging arms that have replaced the minibrot. The number 14 is strange enough, but the next deeper series of converging arms, barely visible at the center, numbers only six. I have no idea what determines these series, so they are still a big mystery. BTW, epicycles are what the strange retrograde motions of the planets were called before we knew the nature of the solar system and the laws of gravity. The art aspect, which in my opinion is a little better than yesterday's, rates a 7. The math aspect reveals its full mystery in today's image, and honestly earns its superior rating of a 9. The calculation time of 11 minutes is definitely slow, making the web sites a far better way of viewing the scene. Check the finished image on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Clouds moved in just after noon here at Fractal Central today. Things were not as bad as they might have been however, as the temperature reached 46F +8C. The fractal cats grumbled when the sun was obscured just as it reached their window shelf. The fractal humans simply did their usual grumbling. The next FOTD will be posted in a moderate number of hours. Until we find out what moderate means, take care, and the perfect SAT test would be one in which every student scores the same mark. But if we ever achieved this ideal goal, why would we need the test? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mystery_Epicycles { ; time=0:11:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 periodicity=0 center-mag=-1.250229217708301/+0.01137634927677889\ /6.17e+010/1/-155/0 params=0/0/0/0/0.248/0/1e-100/0 float=y maxiter=12000 inside=0 mathtolerance=0.05/1 colors=000l6cl7_n8Wn9ToBPoCMoBJpAGl8Cf54`2DV2BM08F\ 27867jCGlKDoTAs_8o`NndeoevjaogZldWgaUbYQZWOWUKSRIO\ PFMMDIKAEH9CF69E46C35B24A038028027016004003003008C\ 6GbEOzObrNwfO0W00S30P70MB0IG0HM0FS1EZ2De3Cn4Av5Az4\ Aj7AWBBIEBAME1SF0ZI1WF0UE1RD8PBGMAPNA`SDdVGg_IlcMn\ fNrlRvpTztXzyZzzazzczkWvSPeCHS8DE6B54A03800S13nG4r\ L7sNIvSUwXfzaalOZ`DZS5YT8YUCWUGWWKVYPWYTYZYzXmwOnw\ IovCpv7rN3l22g32e77eCLeHVdO_dTedZkbbpbisgqsisrwosj\ jtNgrE`p4Ym3Wj2Vd2UZ1UU0SR3SN6SJASGESDHRAKR6OR3SS1\ YS1`Q2eO5lN8rMBwMEzMGwOIvOKsPMrQNnRQlSRjSUgUVdVXbV\ X`WZZWZZ_`__`W``VdcSgcRldOoeN```ScoIezDWn9MU6ED370\ 120000000000000000000000002004006OBPzlqzhqvdpn_oiX\ rcUsYRsSOvMLwHIzCFz8Dz5Az4Bw4Ar3Bl2Be1C`0CW0DR0EM0\ EH0FDAO7PW1ec2dU2bL2`D1Z61Y11P60IC0CK09W06e44r7Kw4\ ez5az5Xw4Uw4Sv4Os5Ls7L3oN4rQ4sS4sT4sU4sW4sX4sY4r_4\ ra3oa3oc3ne3nf3lg3jj4hl5f } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 26-03-14 (The Eighth Dimension [A-6,M-8])
by Jim Muth 28 Mar '14

28 Mar '14

FOTD -- March 26, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's image is a simple scene deep in the northern branch of Scepter Valley of the Mandelbrot set. But this parent Mandelbrot set is not your everyday Mandelbrot set. It is a slice down the middle of a four-dimensional HyperMandelbrot set. As long as the real(p3) parameter in the generating formula remains at zero, the parent fractal is the M-set. But when the value is changed, strange things begin to happen. Tomorrow's image will show the beginning of the strangeness. The name of the image, "The Eighth Dimension", indicates that the scene is a slice through an 8-dimensional Julibrot, which will become apparent in the images to follow. The artistic rating of a 6 is what the image itself is worth, since despite the hype, it is simply a scene in the Mandelbrot set. The math rating of an 8 shows that some quite unusual mathematical things are to come. The calculation time of 6-1/2 minutes is rather slow. Luckily, the web sites can speed up things significantly. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with a snow flurry here at Fractal Central, which dropped a full 1/2cm 1/4-inch of snow. By late morning the clouds blew away, leading to a sunny but blustery afternoon with a high temperature of only freezing. The fractal cats enjoyed the afternoon sun on their shelf, while the fractal humans wondered when the spring greenery would appear. The next FOTD will be posted in 24 hours. Until then, take care, and become one with the numbers. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheEighthDimension { ; time=0:06:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-1.250229217708301/+0.01137634927677889\ /6.174502e+010/1/-155/0 params=0/0/0/0/0/0/1e-100/0 float=y maxiter=12000 inside=0 periodicity=0 colors=000l6cl7_n8Wn9ToBPoCMoBJrAGo8Ck59j2Ii2Lg2Pg\ 2Kh6HjCGlKDoTAs_8o`NndeoevjaogZldWgaUbYQZWOWUKSRIO\ PFMMDIKAEH9CF69E46C35B24A038028027016004003003008C\ 6GbEOzObrNwfO0W00S30P70MB0IG0HM0FS1EZ2De3Cn4Av5Az4\ Aj7AWBBIEBAME1SF0ZI1WF0UE1RD8PBGMAPNA`SDdVGg_IlcMn\ fNrlRvpTztXzyZzzazzczkWvSPeCHS8DE6B54A03800S13nG4r\ L7sNIvSUwXfzaalOZ`DZS5YT8YUCWUGWWKVYPWYTYZYzXmwOnw\ IovCpv7rN3l2Ic3Mh7QmCUrMZvUcz`ezcizgmzkqzotzqzzpyo\ nzgizEds4Yo3Wj2Vd2UZ1UU0SR3SN6SJASGESDHRAKR6OR3SS1\ YS1`Q2eO5lN8rMBwMEzMGwOIvOKsPMrQNnRQlSRjSUgUVdVXbV\ X`WZZWZZ_`__`W``VdcSgcRldOoeN```ScoIezDWn9MU6ED370\ 120000000000000000000000002004006OBPzlqzhqvdpn_oiX\ rcUsYRsSOvMLwHIzCFz8Dz5Az4Bw4Ar3Bl2Be1C`0CW0DR0EM0\ EH0FDAO7PW1ec2dU2bL2`D1Z61Y11P60IC0CK09W06e44r7Kw4\ ez5az5Xw4Uw4Sv4Os5Ls7L3oN4rQ4sS4sT4sU4sW4sX4sY4r_4\ ra3oa3oc3ne3nf3lg3jj4hl5f } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 25-03-14 (Lofty Aspirations [A-8,M-7])
by Jim Muth 25 Mar '14

25 Mar '14

FOTD -- March 25, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's scene lies at the eastern edge of the blade of the prominent 'fan' in the oversized parent fractal that results when 11 negative parts of Z^(-1.1) are combined with 1.1 negative parts of Z^(-11.1) and (1/C) is added on each iteration. The name "Lofty Aspirations" can mean whatever the individual fractalist wishes. To me it represents the endless search for better fractals. The art aspect of the image is worth an exceptional 8, mostly due to the brilliancy of the image. The math rating of a 7 is still above average, though held down by over-use. The calculation time of 4-1/4 minutes borders on slowness. A quick trip to the web sites can speed up things notably however. Enjoy the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Light snow fell all day today here at Fractal Central, but with the temperature hovering just above freezing, it did nothing more than wet the sidewalks. The fractal cats took one quick glance outside and decided to catch up on their sleep. The humans, who are already caught up, spent the day wondering when spring will arrive. The next FOTD will most likely be posted tomorrow. Until then, take care, and even the person beside you could be a Boltzmann brain. This is scary enough, but what if I am nothing more than a lonely Boltzmann brain floating in an infinite and timeless space of maximum entropy? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Lofty_Aspirations { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+4.71691044048/-0.18503827863/6.06e+007\ /1/-110/0 params=-11/-1.1/-1.1/-11.1/0/500/0/0 float=y maxiter=2100 inside=0 logmap=282 periodicity=6 colors=0006Nc6Nb6Na6N`6N_6NZ6NY6NX6NW6NV6NU6NT8NS9\ NRBNQ8NQ4NO3NO0NN0NN0NL0NL0NJ0NJ0NI0NI0NI0NJ0NJ0NJ\ 0LL3JL6ILBGLGENJDNOBNS9NX8Ob6Oe4Ok3Qp2Qt0Qz0Qz0Sz0\ Sz0Sz0Sz0Uz0Wz2Xv3Zp6`k9beDd`EeWIgQLiLOkGQmBUn6Xp2\ bt3Zp3Wn3Uk4Qi4Ne4Ld4I`6GZ6DW69U88Q84O83L80J90G90E\ B0DD0BE09G06I04J03L02N00O00Q00S00U00W00W00U00Z0066\ 0D0366XO0Q80JW0DS06b00e00p00r04t69vEGxLLzUQzbXzibz\ egzzmzikzdkxUkvLkxOgzQezSbzU`zWXzXWz`UzbQzdOzeLzgJ\ ziGzmEznDzp9zr8zt4zv3zz3zx2zt2zp2zm0zg0zd0z`0zX0zU\ 0zO0zL0xI0vE0t90r60p30n00m00k00i00g00e00e00`00X00U\ 00O00L00I40D909D06E02G00I00J00L00N00Q00U00X00`03b0\ Bd0Ie0Og0Wi0dk0km0rn0tpKvrZxthzvrzxzzvzzrzvn3tk6tg\ 9tdDreIrgLpiOpkSpmWnnZnpbmremtimvkmxmizigzgdzebzd`\ zbXz`dzddzddzddzddzddzddzddzdvzvvzvvzvvzvvzvvzvvzv\ vzvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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 24-03-14 (Crispy Critters [A-7,M-6])
by Jim Muth 25 Mar '14

25 Mar '14

FOTD -- March 24, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image is a scene in the parent fractal that results when the expression Z^(2.02)+C is iterated 1/10 of one step down the hyperladder with no function applied. This parent is basically a Mandelbrot set with its main bud split into two parts. Today's scene lies in the spike extending from the northern half-bud, which has degenerated into an area of chaos. The name "Crispy Critters" has little connection to the image. I simply thought it sounded rather catchy. The art rating of a 7 indicates that IMO the image is somewhat above average. The math rating of a 6 shows that we have been here several times before. The calculation time of a speedy 45 seconds will leave little time wasted if dis-satisfaction arises. A check of the web sites will always assure satisfaction however. The finished image is available at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Puffy clouds decorated the sky here at Fractal Central today, but the morning temperature of a chilly 18F -8C kept thoughts of spring at bay. The fractal cats had an average cat day, as the humans did also. The next FOTD will be posted soon. Until next time, take care, and don't be worried if you just don't get it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Crispy_Critters { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.570274703396159/+0.06513374099477261\ /2.257364e+008/1/160/0 params=2.02/0/-0.1/0 float=y maxiter=1300 inside=0 logmap=74 periodicity=6 colors=0006XwAXuAWqAVmAUgASbAQ`AOYAMWAKUAITBGPCFMD\ ELEDKFBID9HB7F95D73A527414302200dA9eEEfHIgLNgORhSW\ iV_jYijbpkizlnzmrzmrznrzorzppzpozqkzrjzsizsizthVuh\ SvgOvfLwfHxeExeBugFrhIpiLfZWXPfOFpQHmRIkSKiTLgUNeV\ OcWQ`XRZYTXZUV_WT`XRaYPb_NbaMccKdfJehHejGflEgnDhpB\ hrAgsBgsCgtDftEftFfuGeuGeuGevHevIdvJdwKdwLcxLcxMcx\ NcyObyPbzQbzRazRazSazT`zU`zV`zW_zW_zX_zYZzZZz_Zz`Z\ zaYzaYzbYzcXzdXzeXzfWzfWzgWzhVziVzjVzkawO_wSZwWYw_\ XwcWzgfw5ew8dwBcwEcwGbwJawM`xO`yR_zUZzWYwZYwamwcmw\ fmwimw4mw6mw7mw8mwAmwBmwCmwEmwFmwGmwHmwJmwKmwLmwNm\ wOmwPmwQmwSmwTmwUmwzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 23-03-14 (The Stars of Dawn [A-8,M-7])
by Jim Muth 23 Mar '14

23 Mar '14

FOTD -- March 23, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image lies in a parent Mandelbrot set that is distorted almost beyond recognition by Z^(1.5) energies. The infecting energy has split the M-set into a heart-shaped main bay with large period-2 buds decorating the north and south sides of the bay. The entire perimeter of the main bay west of the two large buds is chaotic, lined with smaller buds of no recognizable periodicity. Today's scene lies in the total chaos near one of these chaotic-period buds. The name "The Stars of Dawn" reminds me of a scene in Dante's Divine Comedy, where the saved soul ascends beyond the planets and stars on its way to heaven. The deep blue background of the image could easily represent the celestial heights. Due to the intense colors, the art aspect of the image rates an excellent 8. The math aspect comes in at a 7, since the math trick is not all that new. The calculation time of 1-1/4 minutes makes the image a bargain. The web sites can make the bargain simpler to view. Don't forget the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A layer of clouds hung over Fractal Central most all day today, with brisk winds and a temperature of 37F +3C making it feel like winter had returned. The fractal cats spent the day waiting for the sun to shine, but were disappointed. The fractal humans spent a couple hours watching the news on TV and wondering how much of it is fiction perhaps occasionally based on real events. The next FOTD will be posted, and that is no fiction. The exact time is still in doubt, but it will be in a day or two. Until whenever, take care, and they tell me that God sends good guys to heaven and bad guys to hell. But on what aspect of their lives does He make the final decision? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Stars_of_Dawn { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.233901451607335/+0.3558957888158806/\ 2.224302e+011 params=1.5/-1/1000/0 float=y maxiter=1200 inside=0 logmap=132 periodicity=6 mathtolerance=0.05/1 colors=00000m00h00c00Z20U40Q60M80IB0HD2ED2Cxzzmkzh\ fIcO454D4Cf4KzBKgJ7MT05`00_00Y50YF0WT0Wf0Uw0Uz0Iz0\ 7z00w00s00p05m0Kh1Uc6cZBmUGmZMmcRkhWik_tndzsozzzTd\ bITT8IJ2ACzzUzzWuzYoz_iz`dyb_wdUsfQqfTodO03Q06T0BU\ 0FW0JY0O`1Ub2_d2df3ig3omImq_kuuiyzgikRWKDJ23Km3Uz3\ KzACzI6zR0z`0zk0zw0yq0mk0bf0T`0JW0BR4Ju05J00000000\ 400A01G13O34WC5UM5T_5Rk6Qz6Oz6OwFKfOIRYFDgDAd87b54\ _12Y00W06T4CQDJOQTKb`IqiGz0RC0UK0YU2_b5bmAfyDgzBds\ A`d7YR6WF4T53Q02O06T0AY0Fb0Jg0Om0Us1_y3dz5dMId0W`4\ b_IiY_qWsyUzzUzzUozUdzUUyUKwUDwMCsFBq8Am3Ak08g07f0\ 7d0IY6URIfMi_izUzz_sqdffiTWmIMs7Dy06z0Aw0Dq3Ik8MfF\ R`MWWU`R`zQwzKzzGzzCzz8zz5zz2zw5zq7zkAufCo`GgWJ`RM\ UMQQRJ_WFg_Bqd7zg4zk5zo5zs6zw6zz7zz7zz7zzGzzRzzbzz\ ozzzzzzzzzozzYzzGzz4zz0zz3zzDzzRzzfzzuzzizz`zzRzzJ\ zzRzzYzzdzzkzzizzizzizzgzzgzzgzz_zzRzzJzzCzz7zz6zz\ 6zz5zz5zz4zz4zz3zz3zzKzzg } 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 22-03-14 (Delightful Tapestry [A-7,M-7])
by Jim Muth 23 Mar '14

23 Mar '14

FOTD -- March 22, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: The parent fractal of today's image is another Mandelbrot set surrounded by interesting rings. In today's case the parent is infected with Z^(-60) energies. Instead of being located in one of the outer rings, today's scene lies in Seahorse Valley of the parent M-set, in one of the innermost rings. There is little evidence of seahorses in the image however. The art and math aspects both rate a 7, which means I consider the scene a little above average, but not as good as the FOTD of March 20. The coloring could have been improved and the math trick is on its second round. The name "Delightful Tapestry" simply came to mind out of nowhere. Like the name of a surrealist work of art, it has nothing to do with the appearance of the image. The calculation time of a brief one minute means that little time will have been lost if the image lays an egg. But to avoid an unwanted omelet, check the web sites. Check the images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Lots of sun and a temperature of 59F 15C made today one of the most pleasant so far this year here at Fractal Central. The fractal cats took full advantage of the sun but had a slight disagreement about taking turns basking. The humans had a rather busy day, with FL waiting for a slow down so she can start planning of this year's garden. The next FOTD will be posted in around 24 hours. Until then, take care, and every technological advance soon becomes just one more indispensable thing that would cause civilization to collapse if it were ever lost. The other possibility is that I am just a cranky old fogy. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= DelightfulTapestry { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.783403433153/+0.22648314391/777390/1\ /-93.5/0 params=-60/1e+030/0/0 float=y maxiter=750 inside=0 outside=summ logmap=69 periodicity=6 colors=000UUfURlTOhQLdMIaIFYCCV66R01O12N23M33L44K5\ 5K65J66I76H87H98GA8FB9EB9EDBDEDCFFBGHAIJ9JL8KN8LP7\ MR6OT5PV4QX3SZ2U_4WX6YU8_SAaQCcOEeMGgKIiJKkMOlQSmU\ ZnXco`mpdmqgzrkzsoztrzuvzvyzsxzqwzowzmvmkumiucgtce\ sGcsHarJ_qKYqLWpNUoOSoPQnROmSMmThMMiLLiLLiLLjKLjKL\ kKLkJKlJKlJKmIKmIKnIKnHJoHJoHJpGJpGJpGJnFLlFNjEOhE\ QfDRdDTbCU`CWZBXXBZVB_TAaRAcP9dN9fL8gJ8iH7jF7lD6mB\ 6o63s85q96pA8oC9nDBlECkGEjHFiIHgKIfLKeMLdONeNMcNMa\ NM`NLZNLYNLWMLUMKTMKRMKQMJOMJMLJLLJJLIILIGLIELHDKH\ BKHAKH8KG6KG5KG3KG2MI3NK4PM4QN5SP5TR6UT7WU7XW8ZY8_\ _9a`9bbAcdBefBfgChiCikDjamjgVjlDihEQUPSUNVUMXUKZUI\ `UHbUFdUDgUCiUAkU8mU7oU5qU4pU5oU5oU5nU5nU5mU5mU5mU\ 6mU6mU6mU6mZ6mZ6mZ6mZ7mc7mc7mc7mc7mh7mh7mh8mh8mh8m\ h8mm8zm8zm8zm9zn9zqzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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Re: [Fractint] MOTD 210314 Spirals
by Hal Lane 21 Mar '14

21 Mar '14

Albrecht, > Spirals, spirals, spirals....... Some of those look like concentric circles... It looks like a black hole will soon be the end of two of the "spirals"... - Hal Lane ######################## # hallane(a)earthlink.net ######################## ======================================================= Author: Albrechtx Date: 2014-03-20 22:21 -400 To: Fractint and General Fractals Discussion Subject: [Fractint] MOTD 210314 Spirals HI, ; Spirals, spirals, spirals....... Greetings from the Multifractal World. ; https://www.dropbox.com/sh/vbts6gchk4d8ame/aYlNyX18TI ; Albrecht ======================================================= --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Re: [Fractint] Animated GIF
by Hal Lane 21 Mar '14

21 Mar '14

JackOfTradeZ, You said: > why not make a smooth animation?! The only thing holding me back is lack of time. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ============================================== Author: JackOfTradeZ Date: 2014-03-19 20:20 -400 To: fractint Subject: [Fractint] Animated GIF . "Having done this, I then created an: / Animated GIF of F140318X, | with alternating frames having different areas | of the color map defined as black, to show the \ interwoven "sub-fractals":" OK for a start - now why not make a smooth animation?! It ain't too hard - trusme! <G> ============================================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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MOTD 210314 Spirals
by Albrechtx 21 Mar '14

21 Mar '14

HI, ; Spirals, spirals, spirals....... Greetings from the Multifractal World. ; https://www.dropbox.com/sh/vbts6gchk4d8ame/aYlNyX18TI ; Albrecht

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FOTD 20-03-14 (Hairpin Curves [A-8,M-8])
by Jim Muth 20 Mar '14

20 Mar '14

FOTD -- March 20, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: The parent fractal of today's scene is a Mandelbrot set corrupted by Z^(-99) energies. But this is no ordinary Mandelbrot set. Instead of lying at the center of an unbroken expanse of 'outside' stuff, this parent M-set is surrounded by a series of open rings of trapped 'inside' stuff, and the edges of these rings are filled with all kinds of unexpected semi-chaotic detail. Today's scene lies well to the north of the parent M-set, in the detail along the inner edge of the final ring. The skeletal effect was achieved by setting the first ten color registers to a solid black. Rotating the color palette will produce an entirely different image. Thanks to the skeletal appearance of the image and the unusual open rings in the parent fractal, both the art and math aspects of today's FOTD are worth an 8. The infinitesimal calculation time of only 25 seconds is no exaggeration. On most machines, the image will finish in even less time. Visiting the web sites will probably save no time, but it will eliminate the inconvenience of setting up and calculating the included parameter file. The finished image is available on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> It is also posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today brought wind-blown clouds with a few breaks of sun to Fractal Central. The temperature of 45F +7C was mild enough, though the wind kept things feeling chilly. The fractal cats soon grew annoyed with the on and off sun and decided to occupy themselves chasing each other along the hallway until they grew tired enough to go to sleep. The humans passed the day by simply being human. The next FOTD might be posted in 24 hours, or it might be delayed a day or so. Until whenever, take care, and is intelligence really the most advanced attribute any conscious being could possess? Reason says it might not be. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hairpin_Curves { ; time=0:00:25.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.1046724064003285/+3.170796553315872\ /2.8611e+010/1/-9/0 params=-99/1e+050/0/0 float=y maxiter=290 inside=0 logmap=34 periodicity=6 mathtolerance=0.05/1 colors=000000000000000000000000000000Uz00pzwVzn0Up\ B_z1Tv6WrAYmF_hJacOd_SfYWhV`jSdlPioMmqJrsGvuEzwIvs\ MspQplUliYieafbZe`Xd_VcYScXQbVOaUMaT8cgBceEccHcaKc\ _NcYQcWTcUWcSZcQacOdcMgcKjcImcGpcEscCvcAyc8wc7uc6t\ c6rc5qc4oc4nc3lc2je1kf2kf2kg3lg3lh4lh4li4mi5mi5mj6\ mj6nk7nk7nl7nl8om8om9om9on9pnApoApoBppBqpCqqCqqCqq\ DrrDrrErsErsEstFstFsuGsuGtuHtvHtvHtwIuwIuxJuxJuxJr\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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