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FOTD 17-10-14 (Farmer's Market [A-7,M-5])
by Jim Muth 18 Oct '14

18 Oct '14

FOTD -- October 17, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: When I saw today's finished image I was reminded of a nearby fruit stand run by a local farmer. I named the image "Farmer's Market" accordingly. Actually, the image lies in the parent fractal that results when 10.5 parts of Z^(-1.1) are combined with 1.2 parts of Z^(-5.5) on each iteration before (1/C) is added. This parent is a notable fractal by itself -- a grossly oversized circular island in the middle of an infinite ocean with three large buds arranged symmetrically around its perimeter. Today's scene lies in the valley leading to a smaller, irregularly shaped bud on the eastern shore line of the parent. The art rates a 7. We have seen better quite often. The math rates a mediocre 5. The math trick is over a decade old. The calculation time of 2-3/4 minutes is near FOTD average. To do better than average, try the web sites. The FOTD web sites are online 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, puffy white clouds and temperature of 70F 21C made today's weather here at Fractal Central near perfect. The cats and humans took as much pleasure as possible from the fine conditions. The next FOTD will be posted before too long, very possibly tomorrow. Until whenever, take care, and what is everyone so worried about? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Farmer's_Market { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+3.2336384617/-1.500873564601/1974900/1\ /-75/1 params=10.5/-1.1/1.2/-5.5/0/1500/0/0 float=y maxiter=3600 inside=0 logmap=272 colors=000U9a0AaTAb1EcUAd3IeUAf5MgUAh7QiUAj9UjUAkB\ XlUAlUKmUAnUKnUAoUKpUApUKsUAuUKvUAvUKvUAwUKwUAwUKt\ UArUKpUAnUKlUAjUKhUAfUKdUAbUK`UAZUKXUAVUKTUARUKSUA\ S`AUT9W`8YS7_`6aR5c_4eQ2g_2iO1dW2eN4aQ6YM8UJAQGCMC\ EIEGEGIAIK6KMAMOEOQIQSLSUKUWKWYKY_K_aKacK`eK_iKLmK\ JoIHpFFrDDtAEuDFvHGwLIxPIuPJqOKmOLiNMfMNbMOZLPVLQS\ KROJSKJTGIUCHZBId9Ki7Lo5NUDK8MGLRPmKYj`fxeoxdowbnv\ `mv_luYltWktVjsTirRhqRhoShnShlThjUhfTeaRaXPYTNUOLQ\ JKNFIJAGF5EB0C71F82J94NB5RC7VD8YFAaGBeHDiJEmKGqMdb\ VYYPQTJJODBJ73D17E7BGDFIJJKQNLWRNaVPgZYzZDlYSiXTfW\ UcWV`VWYUXVzYSwcQmmNmwKmaHQbEPcBzd8NU5Ne8OeCPeGQfJ\ RfNSzRTfUTgYUgaVgdWghXhlYhoZhs_iwaivciueitgisiiqki\ pmiooinqilojgmkbklYimTgnOdoIepJfqLgrMhsOjtQkuRlvTm\ wUoxWpyYqzZrz`tzbrzdpzfnzilzkjzmhzpfzrdztazwhzRgzR\ ezSdzTbzTazU_zVYzWXzWVzXUzYSzYRzZPz_Nz`RzYVzUZzQbz\ NfzJjzFnzCrz8vz4vzCwzKwzS } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 16-10-14 (Ever-Burning Lamp [A-8,M-7])
by Jim Muth 17 Oct '14

17 Oct '14

FOTD -- October 16, 2014 (Rating A-8, M-7) Fractal visionaries and enthusiasts: Today's image is named "Ever-Burning Lamp". In legend, the ancient mystical Rosicrucians, among others, possessed lamps that would burn forever, at least in enclosed spaces such as the tombs of their great spiritual leaders. I don't know about those infinitely efficient lamps, but something in today's image reminded me of the legends. The parent fractal is the four-dimensional Z^2+C Julibrot. The location is in the Scepter Valley area as it appears when rotated halfway between the Mandelbrot and Oblate orientations. A good part of the scene consists of blank inside areas made visible by the bof61 inside fill. The art value rates an 8, mostly due to my semi-expert coloring talents. The math rates a 7, since these four-dimensional rotations are interesting, but hardly new stuff. The calculation time of 2-1/4 minutes is about average. Some time may be saved by visiting the web sites. Try viewing the finished image on the internet 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 mix of clouds and sun with a temperature of 66F 19C made today unmemorable here at Fractal Central. The fractal cats forgot the day before it was half over. The humans still remember it, but will not for long. The next FOTD will be posted in a day or two. Until then, take care, and those who are taken in by the media scare agenda and run around in a state of panic as ordered by their media overlords should display their hysteria in a spectacular manner. Those who see through the media agenda and are not taken in by it will enjoy watching the panic-stricken multitudes on TV. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Ever-Burning_Lamp { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.747497/0/23.446/1.063/-90/0 params=0/0/45/0/-0.75/0/-0.503/0/2/0 float=y maxiter=1000 inside=bof61 logmap=37 periodicity=0 colors=00030S0E_0E_0E_32R0E_1E_2E_33Q4G_5G_6GY34P8\ KY9KY8KY35N6OY6PY5QY35M7Xi5We5Wb15L4SY3QW2PR25L1LO\ 1JL1HK05K0GK0FK0EK05K0DK0CK0BK05K09K08K08K04K06K06\ K05K03J04I03H02G02F02E02D02C02B02A02B02C02702E0250\ 2401300200100000001201401602803A04C05E15G05I05K16N\ 48Q27T59W6AY8E_BHbDJbGMeIPgLTiNWkR_nWcqXerajwdnzel\ zktzqyzvzzrzzszzszzqzzqzzpwzpwznwznwznwznwzjtqjtqj\ tqhtphtogqngqmeqkeqkeqkeqkbohbohbog`of`oe_le_ldZlc\ ZlbZlbZlaWi_Wi_Wi_UiYUiXUgXUgWSgUSgUSgUSgTPeRPeQPe\ QOePOePMbOMbOLbLLbLLbLLeKLbLLbLK_LJ_KIYKIYLHYKGWKG\ WKETIETJERJCRJCRJCPIAPJAOIAOJ8LI8LI8LI6KH6KI6II5II\ 5IK5IK5IL5HL5HL4HO4HO5HP4GP4GP4GR3GR4GT4GT3ET3FW3F\ W3EY3EY3DY2E_2D_3Db2Db2Cb2De2Ce2Cg2Bg1Cg2Ci2Bi2Bl2\ Al2Al29o29o08q18o19o29o2Al2Al3Bl4Dl4Di5Ei6Fi7Gi8Hg\ 9IgKIgKJeKKeKMeUOeUMbUPbUPbcRacQ_cSYcTWcVUcVSmWQmZ\ OmcMmhKzmIzrGzvEzzCzzAzz8 } 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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MOTD 171014 Tree of Life
by Albrechtx 16 Oct '14

16 Oct '14

HI, the title immediately came to my mind so accepted without further consideration. It took a long time to find the colormap that suits best. It´s one of Jim´s. Thank You! It has no real symmetry if you look closely, but even within outside spots almost symmetrical jewels are hidden. ; https://www.dropbox.com/sh/mmxbgvorbly1m67/AAASSoRsy3AFfNCYF-_S1f5ya?dl=0 ; Albrecht ; -----------------------start par----------- 10408-11 { ; Tree of Life ; Secant-Manowar-Magnet ; 0.09.58.85 1280/1024 ; Almost Maximum Zoom reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-1.52385686321713400/+0.00054002072544132/4.868424e+008/1/175\ .999999831305189/1.10613381988644566e-007 params=1.984725486007264/0.4922055726798303/10408.32595700001/21115.0506\ 020602/152048.0404808034/384.1604894022/384.00482000595/256.1007683/512.\ 2007683001/768.3007680025599 float=y maxiter=3072 inside=maxiter logmap=3 periodicity=0 rseed=-2436 colors=000UHT<25>636535424<3>000VO2<15>970860650<3>110zh3<35>A70860750<3\ >110wON<3>_EDUCBO99<2>622DL6<2>351gy2<44>580570450<3>010LKXEDM76BSQO<38>\ 433333322<3>000pOa<3>MAGF6A735eFo<2>A3DJ57<3>612301pUn<22>VHU } ; Albrecht ; -----------------------start par----------- 10408-11 { ; Tree of Life ; Secant-Manowar-Magnet ; 0.09.58.85 1280/1024 ; Almost Maximum Zoom reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-1.52385686321713400/+0.00054002072544132/4.868424e+008/1/175\ .999999831305189/1.10613381988644566e-007 params=1.984725486007264/0.4922055726798303/10408.32595700001/21115.0506\ 020602/152048.0404808034/384.1604894022/384.00482000595/256.1007683/512.\ 2007683001/768.3007680025599 float=y maxiter=3072 inside=maxiter logmap=3 periodicity=0 rseed=-2436 colors=000UHT<25>636535424<3>000VO2<15>970860650<3>110zh3<35>A70860750<3\ >110wON<3>_EDUCBO99<2>622DL6<2>351gy2<44>580570450<3>010LKXEDM76BSQO<38>\ 433333322<3>000pOa<3>MAGF6A735eFo<2>A3DJ57<3>612301pUn<22>VHU } ; Albrecht ; -----------------------start par----------- 10408-11 { ; Tree of Life ; Secant-Manowar-Magnet ; 0.09.58.85 1280/1024 ; Almost Maximum Zoom reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-1.52385686321713400/+0.00054002072544132/4.868424e+008/1/175\ .999999831305189/1.10613381988644566e-007 params=1.984725486007264/0.4922055726798303/10408.32595700001/21115.0506\ 020602/152048.0404808034/384.1604894022/384.00482000595/256.1007683/512.\ 2007683001/768.3007680025599 float=y maxiter=3072 inside=maxiter logmap=3 periodicity=0 rseed=-2436 colors=000UHT<25>636535424<3>000VO2<15>970860650<3>110zh3<35>A70860750<3\ >110wON<3>_EDUCBO99<2>622DL6<2>351gy2<44>580570450<3>010LKXEDM76BSQO<38>\ 433333322<3>000pOa<3>MAGF6A735eFo<2>A3DJ57<3>612301pUn<22>VHU }

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MOTD 161014 - Secant Power
by Albrechtx 16 Oct '14

16 Oct '14

HI, the title is justified because that?s the impression it relays. The Secant formula is not easy to handle and quite often it rejects to be mixed with other ones so subtle editing is essential. Note that most of my images have a genuine symmetry and dont use cuts or splits. In short they are homogeneous, which produces a more satisfying result. ; https://www.dropbox.com/sh/pvb02em9tjhvljl/AAAsKFkU6Y4Q-7iNQsj68vdta?dl=0 ; Albrecht ; -------------------------start par--------------- 10400-04 { ; Secant Power ; Secant-Manowar ; Time 0.02.50.00 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sin/exp/sin passes=t center-mag=-0.31437838908382300/+1.49776683668691400/176.6535/1/-165.499\ 999999999773/3.88578058618804789e-016 params=1.984725486007264/0.4922055726798303/10400.32595700001/21115.0506\ 020602/152048.0404808025/384.1604894022/384.00482000595/256.1007683/512.\ 1007683001/768.20076800256 float=y maxiter=3072 inside=maxiter logmap=3 periodicity=0 rseed=-2436 colors=000QQ1DL04G00B1273936L19Z0Ek0Iu1Ny3Rx6VpAYeF_SK`FP`5UZ0ZX1bU8eQJh\ MXiHijDsi8yg5xd2r`0gX0VS0HM26H40C708C64GH2KU0Pg0Tr0Wx2Zy5_s9`iD_XIYJNV8S\ S1XO0aJ5dFFgASi7ej3pi1xh0ye0ua1kY3ZT6LO9AJE2EI09N46RD3VQ1Yc0_o0`w1`y4Zv7\ XmBU<2>BQH3VD0_83c5Bf2Nh0`i0mi0vh2yf4wc7o_CcVGQQKDLP4GT0BW27Z93_L1`Z0_k0\ Yu1Vy3Sx6OpAJeFFSKAFP75U30Z11b08e0Jh1Xi3ij6si9ygExdIr`NgXRVSVHMY6H_0C`08\ `64ZH2XU0Ug0Qr0Mx2Hy5Ds98iD5XI2JN08S01X00a25d4Fg7SiCejGpiKxhPyeTuaWkYZZT\ _LO`AJ_2EY09V46SD3OQ1Jc0Fo0Aw17y43v71mB0`G0OL1BQ33V60_93cEBfINhN`iRmiVvh\ Yyf_wc`o_`cVZQQXDLU4GQ0BM27H93DL18Z05k02u10y30x60pA2eF4SK7FPC5UG0ZK1bP8e\ TJhWXiZij_si`yg_xdYr`VgXSVSOHMJ6HF0CA087643H21U00g00r01x23y56s99iDEXIIJN\ N8SR1XV0aY5d_Fg`Si`ejZpiXxhUyeQuaMkYHZTDLO8AJ52E2090460D30Q12c04o07w1Cy4\ Gv7KmBP<2>BQZ3V_0_`3c_BfYNhV`iSmiOvhJyfFwcAo_7cV3 }

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FOTD 15-10-14 (Flower of Power [A-8,M-5])
by Jim Muth 15 Oct '14

15 Oct '14

FOTD -- October 15, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: The formula behind today's image subtracts 11 parts of Z^(2.1) from 11 parts of Z^(1.9) on each iteration before adding straight (C). This combination produces a parent fractal resembling a Mandelbrot set rotated 180 degrees with a bay where its East Valley should be and a main spike that splits into two parts at the large minibrot, which itself is partly split. Today's scene is located in a remnant of East Valley. The name "Flower of Power" seem appropriate. The eight brilliant red petals certainly do resemble a large flower. Most of the effect of a flower blossom was created by rendering the scene with the inside set to 'bof61'. The calculation time of 4-1/2 minutes borders on slowness. To cure this problem check the web sites. This cure may be found 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> Heavy clouds and torrential showers of rain spoiled the day here at Fractal Central. The temperature of 73F 23C remained quite comfortable however, not that anyone took advantage of the mildness. During the heaviest rain, the fractal cats went to the window to see what all the fuss was about. The fractal humans checked the basement to see how much water was seeping in, and found things dry. The next FOTD will be posted in a matter of a day or two. Until whenever, take care, and whatever the problem, high-tech will hopefully ride to the rescue. But what if hi-tech lays an egg? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Flower_of_Power { ; time=0:04:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.0528755229235/+0.007267408830338/\ 4.32376e+010/1/-7.5/0 params=11/1.9/-11/2.1/0/0/0/0 float=y maxiter=1000 inside=bof61 periodicity=10 colors=000NrhOjbR`YUSTQLMMFHIBDE7AB37E22J00M00R00U\ 00Y00a0Ae0Gi0Dm0Ap07s06u05w0Az0Fz0Kz0Pz6UzAZzFczKh\ zPmzUhzPczKZzFUzAPy4Kw3Ft2Aq05n00k00h00f3Wd7a_BhUF\ nOJuRNvSRxUVyVYyXayYey_iyakyboycsyewyfzymsirmLwg0X\ v56zD8zHBzLDvPFrRHnWJjZKfaNbeQZiRVlURpVNtYJvZFyaBy\ b7y_ExYKpVRhSY`RbTmediabeYbaUaZRabVWfZPibImfCoj5sn\ 0vq0yn1zk7ziGzfMzcUza`zZhzXnzUuzRvzOvvNvrKvnJvjHve\ EvaDvYAvU8vQ6vM4vUIx_Vyggynuyuzyyqiz_RmJ9c30e40f60\ g76j89eAI_BLYDUUEXQFeNHhJIqEJtAKv4My0Ny0Ny0My6MyAM\ vFMtKKqOKnUKfYKdbJWgJMkJDqJ3uJ2f_QSqmEzyAfv6Hi30X2\ 0Z20a02d04e08h0Bj0El0In0Kq0Ot0Ru0Ux0Vy0Uy0Su2Rp3Qi\ 6Od8NZAMTDKNEKIAKD3K70K50K00J00I00H00G00F00E00D00C\ 00B10A109208207206305304504723962A71DA4EB7HFAIHFLJ\ ILKKLQOPURTYVX__`cebgjfjmmnotrpxuryvsyuryspypmymjt\ jfnebh_ZbVUYONRKIMFEHABA4870650320300300300800C20I\ 93MG6SM8WTBaXEe`HkdJohMrl } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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[fractint] MOTD 151014 Pointillistic Fantasy
by Albrechtx 15 Oct '14

15 Oct '14

HI, as always pls check the link again for any new items. ; Albrechtt

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MOTD 151014 - Pointillistic Fantasy
by Albrechtx 15 Oct '14

15 Oct '14

HI, this one is completely different from any you´have seen before. The Secant formula is hypercomplex to use Jim´s expression and hopefully there is a lot to explore. ; https://www.dropbox.com/sh/izchiknho9b9v5u/AACXMZ4QBO4E38gfL7jZXCMua?dl=0 ; Albrecht ; -------------start par----------------------------------------------------- 10708-03 { ; Pointillistic Fantasy ; Secant-Newton-Magnet ; 0.01.24.26 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sinh/exp/sin passes=t center-mag=+0.55409211566866200/-0.59767897965828100/35.94459/1/137.4999\ 99999999972/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/10708.64595701711/14235.4\ 911280602/182048.0404808025/384.1000694022/120.00482000595/128.100768300\ 1/194.1007683001/768.20051200256 float=y maxiter=3071 inside=maxiter logmap=13 periodicity=0 rseed=-2436 colors=000811FbDRiPGTIL_Ewn4cU7IKTCU_HNNRDXFv`soR6DuZlKcp_57UEKbdqHf8fZX\ Vdp3suY57RKbt4GF5Gu9NaaHxLeJwbc7amMC`2dhxQAya25Q2dJ_AG8SGHLQ2VOQ5gHEYwzu\ 0fcu35uDniDZZynt71bHgImjLpmQ7l1Tri7b0L6f`vZ01jAsgiPSbh2Qt53pVkwbluQWYXBv\ g2BcwaXBlWwkl1YmJcAKeKcAVYmJ20t3UFttUlp4cKzJUCsDEA8STzeOOlxwGmD9O7X1bcnN\ B1jQNoq2Ofx`ZTL6Of7hE_GMudiyCgoOtOqiQ5Tf``bpRYbdzCq5LaOnfCEYq_xwp3P7utuX\ ih07QCErKAHoJpAeMUbE542RcYyjWjczlFx4cYZ62KtyAqN7ffWKC7YfVJZ19lDWklK64ofF\ OIioIrvMVJQsKkf5Dcbc6lTYnGoQXQSfC_AwOj2_hHpiRDLZ8j5WyAQY65BxcqKJs`8BSx3z\ KuDRKo9VEkJsj2Iyw04SrmY_RbxaqfYrPvvMa5Qozc6Ec5WOfA8NU30NOqT_IfIS3QN`ja80\ _HkHGefEj7uwb_KCsMrjjNHzYqm3zB2zaRz3Yke4cmwECTpzd6sy_nfn97TNWgZGMlzoi0QR\ U4gflEahMPzLVwCYgZQOXp_QvPoweRjtg8j1h_Ws0lQlTv1_QETs`lxQIN5MjCHg6jnV_XQ2\ lLoVy8KfDmtoDSh_drkYEQ7JOJAO1FUqGrV_1I92OnoYYXbxyaeVM8n }

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FOTD 14-10-14 (In a Petri Dish [A-8,M-5])
by Jim Muth 15 Oct '14

15 Oct '14

FOTD -- October 14, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's image is named "In a Petri Dish". I gave it this name in recognition of the current germ scare filling the TV news channels. The image, with its sickly brown and greenish colors, does remind me somewhat of a disgusting culture growing in a petri dish in some secret biological laboratory. But actually, it's nothing more than a scene in the parent fractal that results when 0.72 part of Z^(1.4) is combined with 0.72 part of Z^(-1.4) and (1/C) is added on each iteration. This parent consists of a large figure-8-shaped bay, with a symmetrical ring of debris filling both branches. Today's image lies in the debris making up the southern part of this ring. The image itself is rather striking, which justifies the artistic rating of an 8. The math is old hat however, and could be rated no higher than a 5. The calculation time of 2-1/2 minutes is about FOTD average, neither surprisingly fast nor disappointingly slow. And as always, the web sites will make the viewing simpler. View the image effortlessly 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> Lots of clouds and occasional bursts of sun made today's weather undecidable here at Fractal Ccentral. The unusually mild temperature of 75F 24C was pleasant enough, but the brisk breeze occasionally became annoying. The fractal cats, happy despite the weather, slept and played most of the day, while the humans tended to human things. The next FOTD, hopefully germ free, will be posted in a reasonable time. Until reason prevails, take care, and stay germ free. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= In_a_Petri_Dish { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-3.91588150201/-6.296394585764/1917432/\ 1/-62.5/0 params=0.72/1.4/0.72/-1.4/0/0/0/0 float=y maxiter=1500 inside=0 periodicity=6 colors=0008zX9zX8zT8zQ7zN7zL6zI6rF6hD5ZB5P95G75D65\ A5QDBzIMzLQzOVyRZyVbwZgwclwgpzdiz_azWUzQMqdTlwchq_\ flWcfSbcQ`_N`XLZUKZRIYNFYLEWICWGAVD9VC8QBAMABK8CG7\ DD6EC6GB6KA6MA6MB6MC6MC6MC6MD7OK75K87K88K8AK8CK8DK\ AFKAGKAJKAMLAPMCTNCWOD`ODcQEhQGmQNeRTWSZUUlQXzNWtL\ VsJTrHSpGQmDQjCOgANd9La7L_7JY5IV5IS5HR5GS5FV5EZ6Eb\ 9EgDElGDoKCrOBtUCuUEtTGrUIpTKmTNjTPgTTeUVcVWaVV_UZ\ XVXVXVTVTRTRPRRNPRLNSJMRHKPGJPEKNFJOFDPGCQHBSIBTJA\ UKCVLFWMIXNKYONZPRZQWZRYZSZZT`ZUaZVfZWlZXqZYqZZqZZ\ pZXnVUlRRjLPhGPcCKm8LF9I5FA6A0Bzzzrrrmmmhhhccce_Ve\ VOhRTjMVmLYpM_pUbs_ewfgwlkzptzuzzyzzzzzzzzzzPQQF7M\ GCGLHGQLDWSAa_7ff6_c7Ua9O`AJYCGWECVFEQCGOAIL7LI6QH\ 5WH5`F5WIDSOPIEIE8H85F55E75ABAAPG7ZQ6Za6ZZBZYHhVQh\ TShVarVWrVVrWWrYSz`PzcOzdLKQLIWIF`EDfBCl9Eh8He7Ja7\ NZ7QW6VV6LTAFSFMQeJQjGPmEOsDNwBNzCMyDLwDKuEJsFIqGI\ qDLmCNjAQf9Uc8Ya7c_7jZ7qY } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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MOTD 121014 contemplation2.mp3
by Albrechtx 14 Oct '14

14 Oct '14

HI, just to let you know: The MP3 Version is now available for download (320kb) ; Albrecht

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Re: [Fractint] Mobile app
by Tony Bearskin 14 Oct '14

14 Oct '14

Maybe. Now that you mention it Fractint was originally DOS. Ill check. Thanks, Tony <div>-------- Original message --------</div><div>From: david <gnome(a)hawaii.rr.com> </div><div>Date:10/14/2014 2:42 AM (GMT-05:00) </div><div>To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> </div><div>Subject: Re: [Fractint] Mobile app </div><div> </div>On 10/13/2014 10:52 AM, Tony Bearskin wrote: > > > > Thanks, > > > Tony > > > -------- Original message -------- > From: "Paul N. Lee" > Date:10/13/2014 4:07 PM (GMT-05:00) > To: fractint(a)mailman.xmission.com > Subject: Re: [Fractint] Mobile app > > Tony Bearskin wrote: > > > > Does anyone know if Fractint make > > a mobile application for Android? > > > > None that I am aware of. :-) Hmmm ... didn't someone on the list have Fractint running under a DOS emulator on a smartphone or tablet? -- David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.com _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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[Fractintint] Re Fractint Ontemplation.mp3 Att. HAL
by Albrechtx 14 Oct '14

14 Oct '14

Am 14.10.2014 05:00, schrieb Hal Lane: > Your subtle work with the timing of your music reminds me a little of > a friend > who played the trumpet and wrote a piece of music for two groups > of trumpets: one group at the front of a very large room (like a > cathedral > or auditorium) and one at the rear. He wrote the rapid rhythms of > his music to make use of the relatively large amount of time that it took > for the sound to travel the length of the room and reach the other > players. > He was writing in 1964 -- exactly 50 years ago! This really has something in common with my shifting rhythm. The primary principle was used by the Pygmees, musical geniuses. Terry Riley - "In C" and Steve Reich - "Drumming" used it in their compositions but Live Performannce has it?s limitations of course So Fractal Music including my Fractal Rhythm which uses this principle with utmost perfection is the solution. As far as I know I am the only one worldwide doing this. ; Albrecht

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MOTD 121014 - Contemplation.wav
by Albrechtx 14 Oct '14

14 Oct '14

HI, thank you HAL for your good comments and suggestions. Some have become reality as you´ll see. When I was trying to add some structure - several parts parts whith different speed and volume and a fade out end I had to see that the recorder belonging to my midi device just ignores any live changes and was about to give up. Then I remembered a phantastic Freeware named Audacity which can record the output of your soundcard - I have a Realtec with a sampling rate of 192khz and a top sound. So you can record Live Midi as WAV, all changes are recorded.in super quality. Here is the result - for me without any doubt the best I have produced. A middle, slower part with lots of contemplative moods and a fade out included. As WAV with 20Min playing time it uses 206MB, but mp3 can be added if requested. As allo for me this is something special any comments are welcome. ; https://www.dropbox.com/sh/ywo4i5lbjqkjo33/AAD3sMO6h5XyqPNpEUi7jvWBa?dl=0 ; Albrecht

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Re: [Fractint] Mobile app
by Tony Bearskin 14 Oct '14

14 Oct '14

Thanks, Tony <div>-------- Original message --------</div><div>From: "Paul N. Lee" <Paul.N.Lee(a)att.net> </div><div>Date:10/13/2014 4:07 PM (GMT-05:00) </div><div>To: fractint(a)mailman.xmission.com </div><div>Subject: Re: [Fractint] Mobile app </div><div> </div>Tony Bearskin wrote: > > Does anyone know if Fractint make > a mobile application for Android? > None that I am aware of. :-) P.N.L. _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 13-10-14 (A High Time [A-8,M-6])
by Jim Muth 13 Oct '14

13 Oct '14

FOTD -- October 13, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: I'm back from Old Fractal Central, everything is under control, and we have a fractal to get all excited about. The formula combines Z^(-5) with straight (Z) before adding straight (C) on each iteration. This combination creates a parent fractal that resembles a distorted Mandelbrot set in the proper orientation, but with a bay where its east Valley should be. This fractal is surrounded by flat disks, which are reflected in today's image. Today's scene is located near a large inland disk northwest of the main bay. I named the image "A High Time". I can't say why. The art value, which I see as better than the math aspect, rates an 8, while the math, which is near antiquated, rates only a 6. The calculation time of 2 minutes will seem to pass at an appropriate rate for those who do not become impatient. Find 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> Heavy clouds hung tough all day here at Fractal Central. The temperature reached a high of 61F 16C, but due to the clouds, felt colder. The fractal cats and humans took things in stride. Back at Old Fractal Central, my sister now has two new cats, but it is still far too soon to know if they are of the fractal or feral variety. The next FOTD will be posted before too long. One week is too long, and two hours is too short, so it will appear somewhere in between. Until whenever, take care, and pay no attention when the media says 'should you be worried about...' Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_High_Time { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.52150872012/+0.338848536058/250000/1\ /3.5/0 params=1/-5/1/1/0/3500/0/0 float=y maxiter=1500 inside=0 periodicity=6 sound=off colors=000`ZPcbPgfPkiPnmUrrcvvmzzzvvmttcssXpqZno_l\ m`jlYhjWehTcfRaeO_cMYaJW`HTcHRfHPhHNkHLmHJZVIKgH6t\ JBqLFnNKkPOhRSeTXbV`_XeXZiU_mSYgRWbQVYPTTORONQJMOE\ LM9KL4Kvxaps`jn`ei__d_V`ZPWZKRYEMY9IY7FT6DP5BL2D94\ 9H36C248124crGQ_ADI51DC0BA0A9098087076055044033022\ 011ioKejIafGYbFUYDQUBNQAJL8FH6BD5783341XYrGHR3kV2c\ P2WK1OF1GA085AMZ8JV7HR6EN5CJ49F37B247123VgjRbeOZ`L\ UWIQSFMNUWW9DE6893440KD2K81K4DPyCUtBZpAcl9eh8ad7Y`\ 6UX6RS5NO4JK3FG2BC178034pNT4dq3Zj3Uc2PX2KR1FK1AD05\ 6_CSXBPUANR9LO8JM7HJ6FG5CD4AB38826514202FVWBNO7FG3\ 78wZhhQXUHMF8BlOlgMgcKc_I_WGWSESOCOKAKG8GC6C848424\ RDOI8G948TD7OA5J84E63942421eYF`UDXRCTNAPK9LH7GD6CA\ 4863431h65d54`54X43U43Q32M32I22F21B11710300AazAZwA\ VrAPmAKhAFZAAPA5FdFXaDUZCSWBPTANQ9LN8IK7GH6EE5BB49\ 837524212m4U`3MP2FC17EcDDaCC`BBYAAV99S88P77M66J55G\ 44D3392251110MLOQOOUSOXWP } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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Mobile app
by Tony Bearskin 13 Oct '14

13 Oct '14

Hello All, Does anyone know if Fractint make a mobile application for Android? Thanks, Tony Bearskin

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Update Contemplation.mp3
by Albrechtx 13 Oct '14

13 Oct '14

HI, this is an update for discussion. Found a way, to split an item into several parts during composition. Each part has it´s own parameters so the result should be far more interesting and just better music. Paul - and Hal, and anyone interested please tell ne what you think. Fyi there are 3 parts, 32 measures each. Ttle:131014NW.mp3 Thank you ; Albrecht ; https://www.dropbox.com/sh/ywo4i5lbjqkjo33/AAD3sMO6h5XyqPNpEUi7jvWBa?dl=0

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Contemplation.mp3
by Albrechtx 13 Oct '14

13 Oct '14

HI, to complete yesterday´s posting I have included a conversion into Fractal Music. Maybe you like it even if you have a prejudice. The link remains,. All items are also available in the total collection of my creations, just look for the appropriate MOTD. Here is the link again: ; https://www.dropbox.com/sh/zx1sjqtln4vtovk/AABAhwj_Ovy2WCAnFejh_9bOa?dl=0 : Albrecht ;

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<Albrecht>I enjoyed your image "Relations" - especially the color map.
by Hal Lane 13 Oct '14

13 Oct '14

Albrecht, I enjoyed your image "Relations" -- especially the color map. It appears to have several "superMoons" ;-) - Hal Lane ######################## # hallane(a)earthlink.net ######################## ------------------------------ Author: Albrechtx Date: 2014-10-10 04:55 -400 To: Fractint and General Fractals Discussion Subject: [Fractint] Relations MOTD 101014 ; HI, just a image worth watching.. ; https://www.dropbox.com/sh/ikeirswtn31n5vs/AACYhZr4mciDyf_REmK2XzAZa?dl=0 ; Albrecht ; --------------------Start Par---------------------------------------------- 70100-19 { ; Newton-Secant ; Relations ; 0.08.00.11 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sinh/exp/sin passes=t center-mag=-2.64485384978987200/+7.76262455063519900/33.79958/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/70100.64595701711/14235.4\ 911280602/182048.0404808048/384.1000694048/120.00482000595/128.100768300\ 1/194.1007683001/256.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000N05<5>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q\ 0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>\ 2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 3>000<4>000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFR\ KDOGA<3>A00<2>K04 } ---------------------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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MOTD 121014 Contemplation
by Albrechtx 11 Oct '14

11 Oct '14

Here I come again as the link was not transmitted.... HI, this ends this trilogy: Relations, Meditation and now Contemplation. Actually there are two images, a light zoomout added because I cound not make up my mind which of them is the better one although the impression is quite different. Tell me if you like. ; https://www.dropbox.com/sh/ywo4i5lbjqkjo33/AAD3sMO6h5XyqPNpEUi7jvWBa?dl=0 Albrecht ; -----------------------------start-par------------------------------------ 70108-02 { ; Contemplation ; Newton-Secant-Magnet ; 0.19.52.38 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sinh/exp/sin passes=t center-mag=0/1.42109e-014/0.28/1/90/-1.23373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/70108.64595701711/14235.4\ 911280602/182048.0404808025/384.1000694022/120.00482000595/128.100768300\ 1/194.1007683001/768.20051200256 float=y maxiter=3071 inside=maxiter logmap=13 periodicity=0 rseed=-2436 colors=000ccc000KKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKKKK000<6>000<3>00000100MK00000<3>0000G800\ 0<2>000006G00000000B003z009N00000000004C00Oa00xd0000000000A40000<6>00000\ 000AM0000000000Op00000<4>000<2>0000An00HG00Kj0000<10>000<4>00000Gg00H800\ GF00Aq0000000000A100<3>00000000v000<2>00000D000<17>000<4>000cAAzcmwwwKKK\ cccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKK } 70108-03 { ; Contemplation2 ; Newton-Secant-Magnet ; 0.16.52.44 1280/1024 ; Zoom Out reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sinh/exp/sin passes=t center-mag=-3.55271e-015/8.88178e-015/0.11872/1/90/-1.23373533611470521e\ -014 params=-0.05825983458967864/0.3785210730307932/70108.64595701711/14235.4\ 911280602/182048.0404808025/384.1000694022/120.00482000595/128.100768300\ 1/194.1007683001/768.20051200256 float=y maxiter=3071 inside=maxiter logmap=13 periodicity=0 rseed=-2436 colors=000ccc000KKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKKKK000<6>000<3>00000100MK00000<3>0000G800\ 0<2>000006G00000000B003z009N00000000004C00Oa00xd0000000000A40000<6>00000\ 000AM0000000000Op00000<4>000<2>0000An00HG00Kj0000<10>000<4>00000Gg00H800\ GF00Aq0000000000A100<3>00000000v000<2>00000D000<17>000<4>000cAAzcmwwwKKK\ cccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKK }

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MOTD 121014 - Contemplation
by Albrechtx 11 Oct '14

11 Oct '14

HI, this ends this trilogy: Relations, Meditation and now Contemplation. Actually there are two images, a light zoomout added because I cound not make up my mind which of them is the better one although the impression is quite different. Tell me if you like. ; Albrecht ; -----------------------------start-par----------------------------------------------------------------------------------------------- 70108-02 { ; Contemplation ; Newton-Secant-Magnet ; 0.19.52.38 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sinh/exp/sin passes=t center-mag=0/1.42109e-014/0.28/1/90/-1.23373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/70108.64595701711/14235.4\ 911280602/182048.0404808025/384.1000694022/120.00482000595/128.100768300\ 1/194.1007683001/768.20051200256 float=y maxiter=3071 inside=maxiter logmap=13 periodicity=0 rseed=-2436 colors=000ccc000KKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKKKK000<6>000<3>00000100MK00000<3>0000G800\ 0<2>000006G00000000B003z009N00000000004C00Oa00xd0000000000A40000<6>00000\ 000AM0000000000Op00000<4>000<2>0000An00HG00Kj0000<10>000<4>00000Gg00H800\ GF00Aq0000000000A100<3>00000000v000<2>00000D000<17>000<4>000cAAzcmwwwKKK\ cccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKK } 70108-03 { ; Contemplation2 ; Newton-Secant-Magnet ; 0.16.52.44 1280/1024 ; Zoom Out reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sinh/exp/sin passes=t center-mag=-3.55271e-015/8.88178e-015/0.11872/1/90/-1.23373533611470521e\ -014 params=-0.05825983458967864/0.3785210730307932/70108.64595701711/14235.4\ 911280602/182048.0404808025/384.1000694022/120.00482000595/128.100768300\ 1/194.1007683001/768.20051200256 float=y maxiter=3071 inside=maxiter logmap=13 periodicity=0 rseed=-2436 colors=000ccc000KKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKK\ KcccKKKcccKKKcccKKKcccKKKcccKKKKKK000<6>000<3>00000100MK00000<3>0000G800\ 0<2>000006G00000000B003z009N00000000004C00Oa00xd0000000000A40000<6>00000\ 000AM0000000000Op00000<4>000<2>0000An00HG00Kj0000<10>000<4>00000Gg00H800\ GF00Aq0000000000A100<3>00000000v000<2>00000D000<17>000<4>000cAAzcmwwwKKK\ cccKKKcccKKKcccKKKcccKKKcccKKKcccKKKcccKKK }

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show
by alex dukay 11 Oct '14

11 Oct '14

Hello Fractint list members, If anyone else on the list lives in or near Toronto Ontario, visit an exhibition of my photographs at the Peach Gallery - 722 College St. West 3rd. floor. The show is on until November 9, 2014. Alex Dukay (some images at: dukay.smugmug.com)

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MOTD 111014 - Meditation
by Albrechtx 11 Oct '14

11 Oct '14

HI, The title needs no explanation. ; https://www.dropbox.com/sh/gho6rz34dc24uxf/AAD-z34MUe2mYfQgBFK3Bkfda?dl=0 ; Albrecht ; -----------------------------start par------------------------------------- 70100-22 { ; Meditation ; Newton-Secant ; 00.07.23.36 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sinh/exp/sin passes=t center-mag=-2.28905201204842500/-0.00000034359801814/10025.98/1/90/-1.23\ 373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/70100.64595701711/14235.4\ 911280602/182048.0404808048/384.1000694048/120.00482000595/128.100768300\ 1/194.1007683001/256.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000N05<5>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q\ 0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>\ 2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 3>000<4>000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFR\ KDOGA<3>A00<2>K04 }

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FOTD 10-10-14 (PHI in PHI [A-7,M-6])
by Jim Muth 11 Oct '14

11 Oct '14

FOTD -- October 10, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's generating formula is Z^(PHI)+C iterated PHI levels up the hyperspiral by the Mandelbrot4BC formula. PHI of course is the 'golden ratio', where the ratio of 'a' to 'b' is the same as 'a+b' to 'c'. The parent fractal created by all this is little more than a large shapeless bay stretched out northwest to southeast, with a prominent period-3 bud on the southern side but no period-2 bud at all. Today's scene is located in a small patch of debris on the western side of the northern half of the bay. Feeling generous, I rated the art aspect at a 7. Since the math trick is worn out by this time, I could rate the math no higher than a 6. The calculation time is quite fast, finishing in only one brief minute on a SOTA machine not afraid of DOS. The web sites are ready to eliminate all traces of computer fear. Make life easier for your computer by viewing the finished image online 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> Heavy clouds are covering the Fractal Central area today, with rain expected by nightfall. The lowering conditions are not worrying the fractal humans or cats however, since we have more important things to do. The next FOTD will be posted in either two or three days. Until whenever, take care, and one day fractals might save the earth. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= PHI_in_PHI { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=Mandelbrot4BC center-mag=-0.625039/\ 0.30438/58 params=1.61803398749895/1.61803398749895 float=y maxiter=1800 inside=0 logmap=17 periodicity=6 mathtolerance=0.05/1 colors=00060O50P50Q50R50S95TC9UFDWIHYLM`PScXThVXmY\ `ZhdXdhUglzjpPzcNpxL334ipIzzzcccQUAJM7DF5672uONoLK\ eIH`GFUDCNAAG87A55522wvlnmeeeZYXSPPLHGE887JGYHEUFC\ RDBNB9K98H76D54A336113G6UF5SE5QD4OC4MB4KA3I93G83F7\ 2D62B519417315203101pUTjRQeON`LKVIHQFELCBF98A65532\ v6oT3QKu9Io8Gj7Ee6C_5AV49Q47L35F23A1150NCDs_NlVKeR\ HZMESIBLD8E95742ySkVEOll8gg7bb6YY5TT4OO4JJ3EE29914\ 40J3PH2MF2KD2HB1F91C71A507305102rSbjOXbKRVGMNCGF8B\ 745wdmr`hmYdhU`cRXZNTUKPPHKKDGFACA68534wdu4snO3DL2\ aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\ aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\ cmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcmmcm\ zczzczzczzczzczzczzczzczzczzczzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:Mandelbrot4BC { ; by several Fractint users Z=C=Pixel: Z=log(Z), IF(imag(Z)>0), Z=Z+flip(2*PI), ENDIF Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<36 } END PARAMETER FILE=========================================

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Relations
by Albrechtx 10 Oct '14

10 Oct '14

MOTD 101014 ; HI, just a image worth watching.. ; https://www.dropbox.com/sh/ikeirswtn31n5vs/AACYhZr4mciDyf_REmK2XzAZa?dl=0 ; Albrecht ; --------------------Start Par---------------------------------------------- 70100-19 { ; Newton-Secant ; Relations ; 0.08.00.11 1280/1024 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sinh/exp/sin passes=t center-mag=-2.64485384978987200/+7.76262455063519900/33.79958/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/70100.64595701711/14235.4\ 911280602/182048.0404808048/384.1000694048/120.00482000595/128.100768300\ 1/194.1007683001/256.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000N05<5>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q\ 0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>\ 2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 3>000<4>000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFR\ KDOGA<3>A00<2>K04 }

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FOTD 09-10-14 (EPSILON in EPSILON [A-7,M-7])
by Jim Muth 09 Oct '14

09 Oct '14

FOTD -- October 09, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "Epsilon in Epsilon" for the same reason that yesterday's image was named "PI in PI". Epsilon is an irrational number equally as important as PI, though its importance is more difficult to explain. Epsilon is the base of the natural logarithm. This is easy enough to state, but it is more difficult to explain why epsilon should have been chosen as a logarithmic base. Among other advantages, epsilon simplifies the task of calculating logarithmic derivatives. The image was generated by the formula Z^(e)+C as calculated (e) levels up the hyperladder. This combination creates a parent fractal shaped like a Mandelbrot set with two period-2 buds and two East Valleys. Today's scene lies in the southern East Valley. The over-busy effect was achieved by rendering the image with the outside set to 'tdis'. Both the art and math ratings are a normal 7. The calculation time of 4 minutes is rather slow. Thankfully, the web sites will bring relief. So save a couple minutes. 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> A cloudy but mild day passed unappreciated here at Fractal Central. The temperature of 66F 19C was actually a couple degrees above normal for early October in Central Pennsylvania, but both the fractal cats and fractal humans were occupied with too many other things to enjoy the mildness. The next FOTD will probably be posted in 24 hours. If not, it will appear in three days on October 12, since we, the fractal humans, will be back at old Fractal Central on the 11th. Until whenever, take care, and I'm so worried about so many things that I'll have to run out and buy all the sponsors' products. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= EPSILON_in_EPSILON { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=Mandelbrot4BC passes=1 center-mag=+0.2941099585792077/-0.2251101963909634\ /1.059865e+010/1/162.5/0 params=2.71828182845905/\ 2.71828182845905 float=y maxiter=4500 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000DX7A_07b04b01d00g00g04n07s0Dw0Fw4KwFNwNS\ wXVwcZwnawufwuiwukwu0wXFwfXspnluiduaXuSQu8KuSEuSBu\ DBuIBu3BuKBuKBu7Bu0Bu0Vu0Qu0Vu0wuwzzmmmKnu0Qn0BX00\ F00000700F00N00S00Z00f00nABsABuABzA0KUBiNBuNBuNBuN\ BuNBuNBuNJuNBuNBuKEuKKuKQuHVuH_uHdpFjiFnaFsVFwNDwF\ Dw4Dw0Aw0Aw0Aw0Aw0Fw0Hw0Nw0Pw0Sw0Xw0Zw0cw0fw0iw0nw\ 0pw0uw0uw0uw1uw4uw7uwAuwDuwFuwHuwKuwKusXuBipBVsBXu\ BZuBZuBauBauBcuBfuBfuBiuBiuBkuBkuBnuBpuEpuEsuEsuEu\ uEuuHuuHuuKuuKuuNuuNuuNuuTuuXuubuuduujuunuuquuvuuw\ uuwuuwuuwuuwuuwuuwuuwuuwuuwuuwuuwuuwuuwuuwuuwuuwuu\ wuuwuuwuuwuswuiwuawuVwuKwuDwu4wu0wu0wu0wu0wu0wu0su\ 0Xu0_u0bu0du0gu0ju0lu0nu0nu0qu0su0vu0wu0wu0wu0wu1w\ u7wuAwuFwuHwuNwuPwsVwiXwaawScwKiwAkw1pw0sw0uw0uw0u\ w0pw0kw0fw0aw0Xw0Sw0Nw0Hw0Dw0uquZBuuKcuj0ul0ul0un0\ un4uqDuqKuqSusZusfsvpnvuiwucwuZwuVwuPwuKwuFwuDwupd\ nuH0uN0uQ0uV0KQXHTSFVKFVD } frm:Mandelbrot4BC { ; by several Fractint users Z=C=Pixel: Z=log(Z), IF(imag(Z)>0), Z=Z+flip(2*PI), ENDIF Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<36 } END PARAMETER FILE=========================================

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FOTD 08-10-14 (PI in PI [A-6,M-7])
by Jim Muth 08 Oct '14

08 Oct '14

FOTD -- October 08, 2014 (Rating A-6,M-7) Fractal visionaries and enthusiasts: PI is the delicious dessert that mother used to bake. It is also the 16th letter of the Greek alphabet, and also the transcendental number 3.14159..., which is ratio of the circumference of a circle to its diameter. And PI is also 200 radians, which is an angle of 180 degrees or half of a complete rotation. In today's case, PI is strictly for fun. Today's image shows some of what happens in the fractal that is created when the expression Z^(PI)+C is iterated PI levels up the hyperladder. This parent itself appears as a shapeless blob with an obvious split along the X-axis and mis-shapen buds all along its convoluted edges. Today's scene lies in the chaos surrounding a small bud in the northeast quadrant of the parent. I named the image PI in PI because of the double PI in its parameters. The art rates a perhaps overblown 6, while the math comes in at a 7. The calculation time of a speedy 30 seconds will cause no one any distress. And the web sites can cut even this time. Pamper yourself. View the finished image online 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 clouds filled the sky here at Fractal Central today, but enough sun got through to leave the impression of a fair day. The mild temperature of 68F 20C actually made things rather pleasant. The three dynamic fractal cats slept through most of the afternoon but were quite frisky in the evening. The humans had another in an endless string of uneventful days. The next FOTD will be posted. This is all I can say at the moment. Until whenever, take care, and those who say their prayers at night will get their PI in the sky bye and bye. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= PI_in_PI { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=Mandelbrot4BC center-mag=+0.0718685468\ 4132285/+0.7486480448134041/9.518355e+011/1/55/0 params=3.14159265358979/3.14159265358979 float=y maxiter=1500 inside=0 logmap=58 periodicity=6 mathtolerance=0.05/1 colors=000DR7FTAHWEJZHLcKNhKPmNRrQTvTVzWXxXZwX`vXc\ tXfsXhrXmwelt`kqWjoRimMhkHgiCfg7ee2dc4ca6b_7_X9ZUB\ YRCXMEWIFVEFUAET6ES2ER2EQ2EP2DO2DN2DM2DL2DK2DK2CK2\ CK2CK2CK2CK2BK2BK2BK2BK2BK2BK2AJ1AI1AH1AG1AF1AE19D\ 19C19B19A19919918918818818818817817717717717717716\ 61661661661661561551551550550550440440440440440330\ 33033033033033022022022022022011011011011011010000\ 00000000500A52FA4KF6PK8UPAZSCcVEfUGiUIhUJhUIhUIhUI\ gTIgTIgTIgTIfTIfTIfSIfSHeSHeSHeSHeSHdRHdcHdcHdcHdc\ HccGccGccGccGbcGbcGbcGbcGacGacGacFacF`mF`mF`mF`mF_\ mF_mF_mF_mFZmEZmEZmEZmEYmEYmEYmEYmEYwEXwEXwDXwDXwD\ WwDWwDWwDWwDVwDdwfWw`MwWCwQ0wB2wG3gL5iP6kU8mY9pbBr\ fCtkEvoFxtGzxKxvNvuQutTsrWrqZppazodzmgzljzkmzipzhs\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:Mandelbrot4BC { ; by several Fractint users Z=C=Pixel: Z=log(Z), IF(imag(Z)>0), Z=Z+flip(2*PI), ENDIF Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<36 } END PARAMETER FILE=========================================

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Re: [Fractint] Prophet
by Hal Lane 08 Oct '14

08 Oct '14

Jim, You sure had a lot of faith that zooming into that uninteresting spot in the parent of your FOTD for Sept 18th, 2014 might lead to an interesting area, "The Holy Prophet (A-8, M-6)": http://www.crosscanpuzzles.com/Sept14/091814.html JackOfTradeZ, Thanks for animating that dive. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ======================================================= Author: JackOfTradeZ Date: 2014-10-06 16:58 -400 To: fractint Subject: [Fractint] Prophet . Animation of "The Holy Prophet", FOTD 9/18/14, is posted: http://www.fractal-animation.net/vid/prophet.zip ======================================================= --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 06-10-14 (Scientific Wonder [A-7,M-6])
by Jim Muth 07 Oct '14

07 Oct '14

FOTD -- October 06, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: When I was in the 5th grade, Sister Frances asked me what I wanted to be when I grew up. I told her I wanted to be a scientist. At that time I pictured a scientist as a man in a white coat working feverishly in his laboratory, on the verge of a great discovery, surrounded by bottles and tubes filled with strange chemicals, with a lot of electric equipment, especially a Jacob's Ladder, humming (wastefully) in the background. When sister then asked me what kind of scientist, I replied 'just a plain scientist'. Things sure were simpler around the middle of the 20th Century, when fractals were not yet even dreamed of. In today's more complex world, filled with fractals, I find my enthusiasm for generic 'science' woefully lacking, but that does not deter me from my interest in fractals. The image for today lies in the parent fractal that comes about when the expression Z^(1.9)+C is iterated 5 levels up the hyperspiral. This parent resembles a Mandeloid rotated 180 degrees. Curiously, instead of its period-2 bud being swallowed along the negative X-axis, it has two prominent period-2 buds, one on the northeast side of the large bay, the other partially cut off on the east side. Today's scene lies in the northwest branch of the 'seahorse' type valley enclosing the northeast bud. The name "Scientific Wonder" is ironic. It refers to the disillusionment with science that I have developed over the years. The ratings of the art and math are everyday average, since I can see little in the image to get worked up about. The calculation time however is unusually fast. One minute is all that is needed to finish the job on one of today's SOTA units able to run DOS. Those with DOS challenged machines may find their satisfaction on the FOTD web sites. Make life easier by checking 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> Morning clouds gave way to a sunny afternoon with a temperature of 68F 20C here at Fractal Central today. The three fractal cats, all-black 11-1/2-year-old Nicholas, all-black 13-month-old Jasmine and the 6-1/2-month-old tabby Lida, enjoyed the warm and brilliant sun on the southwest window shelf. The humans were far too busy to enjoy the sun. The next FOTD will be posted in record time. Since there are no previous records to refer to, this means nothing. Until whenever, take care, and organize your worries. Worry about war on Sundays, disease on Mondays, terrorism on Tuesdays, financial collapse on Wednesdays, climate change on Thursdays, an asteroid strike on Fridays, and a years-long electric blackout on Saturdays. Hey, we're out of days and there are still a lot of things that we need to worry about. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Scientific_Wonder { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=Mandelbrot4BC center-mag=+0.5019060958\ 5882990/+0.6952252668142418/3.135e+010 params=1.9/5 float=y maxiter=1800 inside=0 logmap=173 periodicity=6 mathtolerance=0.05/1 colors=000_OKWMKSKHOHEKEBGB8C85852AKCCbH9TD6J8394N\ zyJqpGhgD_Z9RQ6IH398pqLijIbcFXXDQRAJK7DD5662XPWOIO\ GCG868veRbWSVPMNJGFCB765r0sd0eR0SD0ErT0dL0RE0D706P\ bSjoOcgKX`GQTCKM8DE467mK2XD1G60VwtKcaAKJUL6PH5KE4F\ A3A72531S2jE1NqcRfWLWOGLGAYKnRLlLLjFMh9Mf8J`8GV7DQ\ 7BK68F65963437Y25P13H018qD`fATW7ML5EA27hdSaZOWTKPN\ GJHCCB86549NX2Jd1CR06Dw0ALCsA6SBQL8KG6FC4A8254lybO\ VJzQ1mK0`F0PA0C505dD3U92K61A33Db16JcbBUT8KJ5A92919\ 707606505303202101Hh_EaUCWP9PK7JF4CA265eCp_AiV9bQ7\ XL6QF4JA3D516f_ULIFO2cC1K_sdVlZReUMZPIUKDUF9UA4U5N\ UrKUkHUdEUYBUR8UK5UD2U66UJ4UF3UB2U71c3pcAbc7Qc5cc2\ SczccjccVccFccKccFccAcc5ccaccJccPmzzmzzmzzmzzmzzmz\ zmzzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:Mandelbrot4BC { ; by several Fractint users Z=C=Pixel: Z=log(Z), IF(imag(Z)>0), Z=Z+flip(2*PI), ENDIF Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<36 } END PARAMETER FILE=========================================

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FOTD 05-10-14 (Dragon Claws [A-6,M-5])
by Jim Muth 07 Oct '14

07 Oct '14

FOTD -- October 05, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: In my opinion, the minibrot at the center of today's image looks like it is surrounded by dragon claws. Maybe it is; maybe not, but whatever, this is what I decided to name the image. The image was created by the expression Z^(sqrt(2))+C as iterated 31 levels down the logarithmic hyperspiral by the Mandelbrot4BC formula, which might be a new one, at least on the Fractint list. The parent fractal is a vague Mandelbrot thing with a prominent period-2 bud but few other buds. A long meandering filament extends northward from this bud's radical, with today's image lying near the extremity of this filament. The art rates a 6; the math rates a 5. This is all I could give the image, which suffers from a lack of the fractalist's efforts. But with all the other things happening here at FC, this lack is excusable. The calculation time of 30 seconds is about as brief as we ever see in FOTD images. Those who would like an even briefer delay may check the web sites. The finished image is online 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> Autumn weather prevailed here at Fractal Central today, with dark lumpy clouds drifting past on brisk west winds and a temperature of 57F 14C. The fractal cats showed signs of going into winter curl-up mode, while the humans took the increasing chill in stride. The next FOTD image will appear in a day or maybe a few days. Until whenever, take care, and be careful. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Dragon_Claws { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=Mandelbrot4BC center-mag=-0.1830344387\ 025/+4.87647042532257/2.323481e+010/1/35/0 params=1.4142/-31 float=y maxiter=2400 inside=0 logmap=55 periodicity=6 mathtolerance=0.05/1 colors=000WWWVVVUUUTTTSSSRRRQQQOOOMMMKKKIIIGGGEEEC\ CCAAA888666444222000cdDajzepzcsvbqrapm`oiZneYnaXmY\ WiUYeQZYM_RI`OFaRGbTIeTJhRKkPMnONqLOtJQvGRxESyLczR\ ovQmrPloOjkOigNgdMf`MdYLcUKaQK`NJZJIYGIXFH_EHbDHeC\ GhCGjBGmAFp9Fs8Fv8FxAHuCJrELoGNlHOiJQfLScNUaPWZQXW\ SZTU`QWbNYdKZeIYdJXcJXbKWaKW`LV_LVZMUYMUXNTWNTVOSU\ OSPPRPPRPPQKOQKOPKNOKMNFLMFKLFKKFJJFIJFHIAGHAGGAFF\ AEEADDACD5CC5BB5AA59150QnlTlmXjn_iobgqfericslato`u\ fOmZCeR0ZU6YWBXYGW_LVbRUdWUf`TheSkkRmpQouPqzPlyLhx\ IcwF_vCVu9Rt6Ms3Ir0Kp4Mo7OnBQlESkHUjLWhOXgSZfV`dYb\ cadbdf`hh_kiZndWi_UeVS`QPXLNSGLOCJKN76OAAPDDPGGQJK\ RMNROQSRTTUXTX_U_bUaeYZb`W_cTXfRVimSmmPpmNsmKvmHym\ FxmGxmHxwIxwJxwJxwKwwLwwMwwMwwNwzzwzzwzztzzrzzpzzn\ zzlzzjzzkzzlzzmzznzzozzozzlzziz7fz8cz9azAZzBWzCTzD\ QzEOzFLzGIzHFzICzJAzKDzGFzDIzAKz7Nz4Pz1Tz5Wz8_zBbz\ FfzIizLmzPpzStzVwzYnzZfz_ } frm:Mandelbrot4BC { ; by several Fractint users Z=C=Pixel: Z=log(Z), IF(imag(Z)>0), Z=Z+flip(2*PI), ENDIF Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<36 } END PARAMETER FILE=========================================

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Prophet
by JackOfTradeZ＠comcast.net 06 Oct '14

06 Oct '14

. Animation of "The Holy Prophet", FOTD 9/18/14, is posted: http://www.fractal-animation.net/vid/prophet.zip .

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FOTD 01-10-14 (Timely Textures [A-7,M-5])
by Jim Muth 03 Oct '14

03 Oct '14

FOTD -- October 01, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's image was created when I subtracted Z^(3.5) from Z^(2.5) and added straight C on each iteration to produce a parent fractal that appears as a distorted Mandeloid rotated 180 degrees, with two large lumps on its East Valley side, which in today's image is on the west side of the main bay. The image itself is located in the area of the southern lump. The overly textured effect was created by rendering the scene with the outside set to 'tdis'. These textures inspired the name "Timely Textures". The art rates a 7, mostly due to the brilliancy of the greens. The math comes in at a 5. We have been here quite often before. The calculation time of 2-1/4 minutes is within reason. The FOTD web sites can make things even more reasonable. The finished image is online 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> After a dark and stormy night, today began cloudy and dreary here at Fractal Central. But by midday the clouds cleared away, leading to a sunny afternoon with a temperature of 70F 26C, which made both the fractal cats and humans happy. The next FOTD will be posted soon. Until soon arrives, take care, and to have a true peace on earth, we must get rid of the bad guys who are causing the trouble. The problem is how to get everyone on earth to agree on the identity of the bad guys. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Timely_Textures { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.9063772425317335/-0.5816705023396256\ /6.6904e+010/1/155.75/0 params=-1/3.5/1/2.5/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=0000z4L`JQYNUVQaTUhSXgU_gWagXdgZfg_igakgbmo\ M_w5Nm4Jc3FU2B861K17A03h7uM3T2Kv1Db06J42Y21M10BYJR\ H9DhR2XK1MD1B60_`bSTVLMNEEF777rT7kP6dL5YI4RE3KA2D7\ 1630OPgI0m1hM0UE0F7M6VE4K72AAqrXjEScCNXAIQ8EK69D44\ 62vgOl_KbTGTMCJE8974kUvdPmYLeRHXKCPD8G6484bI2J97dv\ 5Yl4Rb3KT2DJ1691vl0g_0TO0ECZ9SQ6LH4E827FzNDrKBjH9b\ E7VB5N83F5172hpOc1pQ0ZD0Hve4bS2JE12Ru1Nm1Kf1G_1DT0\ AL06E037MJIIFFECCB997663330mT0fP0`L0VI0PE0IA0C7063\ 8TH6OE5KC4G93C7284142UUWFFGnpyYZdHHKlxYepT_hPUaLOU\ HIMCCF8674meNactJKSwsokgd_XVOMKCBAEGHCEEACC8AA7885\ 66344122N0oJ0fF0YB0Q70H308oCNhAKb9HW7EQ6BJ48D35612\ 9TXl4bb3VT2NJ1F907UjgMZXFNM7BBLB6H95E74A53732311cz\ ZZrUUjQPbLKVHFNDAF8574FU_COS9IL6CE367IQy9DVVBZN8QF\ 5H728q9YJ2duqxmjpfch_XaTRULKMEDF7678Ds6Bk59c47W35O\ 23G118spYigS`ZMSQHIHB985qiDibBaW9UQ7NJ5FD3761iwe_k\ XR_PIOG9C81cE0YC0SA0M80H6 } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 29-09-14 (Pinwheels in the Dusk [A-8,M-6])
by Jim Muth 01 Oct '14

01 Oct '14

FOTD -- September 29, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image is a scene in Seahorse Valley of the Mandeloid that results when the expression Z^(1.5)+C is iterated 1.5 turns up the complex logarithmic hyperspiral. The hyperspiral is a kind of hyper-dimensional screw that results because the complex log function is multi-valued and can be sliced at any level desired. Today's parent fractal resembles a distorted Mandelbrot set rotated so that the large bud faces northwest. Today's image lies in the southwest branch of the valley that encloses this bud. I named the image "Pinwheels in the Dusk" because this is what came to mind when I first saw the image. The art rates an 8 since the subdued colors reflect my negative but unfortunately correct outlook on the world. The math rating of a 6 shows that no new surprises lie in the math aspect. The calculation time of 2-1/2 minutes will pass fast enough, and if for some reason it does not, the web sites can bring relief. The image is posted 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 clouds dimmed the sun here at Fractal Central today, but the temperature of 77F 25C kept things quite pleasant. The fractal cats and humans had an equally pleasant day. As for the next FOTD, it will be posted when the time is right. Until the right time arrives, take care, and everyone loves a mystery. To me, the greatest mystery of the present era is why 'terrorists' are so filled with anger that they are willing to sacrifice their lives. People do not willingly die simply because, as we hear so often on the news, they hate freedom, (whatever this is supposed to mean). Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= PinwheelsInTheDusk { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ2 passes=1 maxiter=1500 center-mag=-0.5490397032900621/+0.5770322366739224\ /3.621379e+012/1/35/0 params=1.5/0/0/2.15 float=y inside=0 logmap=396 mathtolerance=0.05/1 colors=000LEkKDjJCiIBhHAgG9fF8eE7dD6cC5aC5`B5ZB5YA\ 4WA4V94U94S84R83P73O73M63L63K62I52H52F42E41C31B31A\ 218217105104002001zgBsdAob9k_9gY8dV7aT7ZQ6WO6TM5QJ\ 4NH4KE3HC3E92B718415201rz0mv0hr0em0ah0Zc0VZ0SU0PP0\ MN0KL0IK0HI0GH0FF0EE0CC0AB08A088087085074062051o5T\ k4Rh4Pe4Nb3LZ3JW3IT2GQ2EM2CJ1AG19D1790560330110z00\ n00e00X00O00G008A_b9WZ8TV7QS6MO5JL4GH3DE29A167033g\ fR`_NVUJPOFIIBSLGRLGQMHPNHNOIMOILPIKQJIQJHRJGSKFTK\ DTKCULBVLAVLBXJCZHC`GDbEDdDEfBEgAFi8Fk7Gm5Go4Hq2Hr\ 1Gp0Fn0Fl0Ek0Ei0Dg0De0Cd0Cb0B`0B_0AY0AW0AV09U0UT0U\ R0UP0UO0UM0UK0UI0KH0KF0KD0KC03A0280260150130010g3_\ d2Xa2V_2TX2RV2PS1NP1LN1JK1GI1EF1CC0AA08706504202cC\ UcBTcBSVARUAQKAPK9OR9NU8MA8LA8KA7J07I06H0AGIAFGAEF\ ADEACDABCAABA9AK89K77K66K55K44U33U22U11U08Up4UQ_dn\ YblX`jV_hUYfT`dRcbQf`OiZNkXMmVKoTJqRIsPGuNFwLDzJCz\ HBzF9zD8zB6z9Pz7Oz5MzlMzl } frm:BranchCutGenHJ2 { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*Z+p2)+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 26-09-14 (Briskly Efficient [A-8,M-5])
by Jim Muth 28 Sep '14

28 Sep '14

FOTD -- September 26, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 4 parts of Z^(-1.4) are combined with 0.4 part of Z^(-12.6) before (1/C) is added on each iteration. This parent fractal vaguely resembles a Mandelbrot set rotated 180 degrees, with a double Seahorse Valley setting off the main bud. This valley has two branches on both the north and south sides. On the north side the branches diverge as they approach their limits, but on the south side, the branches converge and merge into a single valley. Today's image lies in the area where the two branches merge. The name "Briskly Efficient" can mean whatever the viewer decides. To me it refers to the rather brilliant coloring, which earned a rating of 8. The math is the decade-old MandAutoCritInZ stuff, so I could rate it no higher than a 5. The image is a rather slow one, requiring up to 12 minutes to finish on today's average machine. To make life more rewarding, the web sites are always online. Reap your reward by viewing the finished image online 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> Today dawned foggy here at Fractal Central, but the fog quickly cleared away, leading to a perfect day, with the usual photoshop blue skies, cottonpuff clouds, gentle winds and a temperature of 75F 24C. The three fractal cats and two fractal humans agreed. The next FOTD will most likely but not certainly be posted in two days. Until whenever, take care, and I am strictly for religious freedom in the U.S. as long as it includes the freedom of all religions to worship their vision of the divinity. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Briskly_Efficient { ; time=0:11:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.699237277325977/-0.1660518353150941/\ 6.026e+011/1/-135/0 params=4/-1.4/0.4/-12.6/0/0/0/0 float=y maxiter=5000 inside=0 logmap=930 periodicity=6 mathtolerance=0.05/1 colors=000AEaAEaBEbCFcDGeEHgFIiGJkIKmKMoMOqOQsQSuS\ UwWWzWYyY_z_azaczcezegzgizikzkmzmozoqzprzsuzsuzwyz\ wwzzzzzzrzzmzzgzzdzz`zzYzzUztRztNzoKzmGzkIokIoiIoi\ IogIogIofIK2tG0yF0zD0zA0y80t65p4Am2Fi0Kf0P`0UY0YU0\ bR0gN0mK0sF0yB0z80z50z20z00z20z40z60y80sA0mD0iF0dI\ 0_K0UL0RP0LR0GT0DW08Y04`00b00d60g60iF0kF0iN0gN0fW0\ dW0dd0bd0`i0_i0Yo0Yo0Ws0Us0Tp0Uw0Rz0cz0NzFhz0LzPmz\ 0P00000000B00F00R00W00`00_00T00R00N00K00I6PY`0F`08\ `00`60`B0bD0bF0bG0bI0dK4dL6dNAdPBfRFfTIs0zd0zT0zF0\ z40z00z00zDAomP_tYozfzzozfkzIim0gYITgPYmWbs`fylkzz\ zzzzzzzzzzzNbUBYG2T40N00F408F02R00b00o00z00z00s05Y\ 0KD0_00o0Bs0ftNzwk6Iz0mAAdGLYNYRUgK_sAIz02z00w08g4\ UW8ogLts_zzmzzfpz`fyWWyRLwLBtG2sB0s60kF0fL0`T0W_0R\ f0Td0UbBUbPW`dY_sY_zKfi8mN0t20w00t08wAIwNUw`dwopwz\ zwzzzyzzfzzPzz8zz0zz0zzTzzLzzzzzzzzzzzzzzzzzzzzzzz\ 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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Discovery of Fractal Lasers
by Hal Lane 27 Sep '14

27 Sep '14

The article at the page below describes and mathematically models the light patterns of fractal laser modes. It says: "Looking down each column, one sees progressive development of additional small-scale details as the aspect ratio of each cavity is increased. Some of these output laser modes looked strikingly like 'laser snowflakes'!" The fractal laser modes mathematically modeled by Fresnel diffraction shown in the last set of images clearly look fractal in structure, as do the patterns in the lower rows of their grid of actual patterns. http://tinyurl.com/Discovery-of-Fractal-Lasers or: http://www.salford.ac.uk/computing-science-engineering/research/materials-ph ysics/applied-optics/fractal-lasers - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 25-09-14 (Intricate Web [A-8,M-8])
by Jim Muth 26 Sep '14

26 Sep '14

FOTD -- September 25, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: While playing with old discarded formulas, I recently stumbled upon today's image, which must be seen to be believed. The image is a slice through a 'dividebrot' Julibrot at an angle only 0.02,0.02 degrees from the Julia orientation. The name "Intricate Web" comes close to describing the scene, but the word 'web' does not do full justice to it. The more delicate parts resemble a spider's web closely enough, while the more solid parts look more like floating blocks of concrete. To find the best proportions I did stretch the image somewhat in the horizontal direction, though not enough to distort the image or change the overall effect. The coloring is mostly accidental. Only a small part of it is my own creation. The calculation time of 3-1/4 minutes will pass faster than expected once the details become apparent. Of course, the web sites are always available for even faster satisfaction. 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> Today began with cloudy skies and light sprinkles here at Fractal Central. But by afternoon the rain ended and the sun appeared, making the fractal cats and humans quite happy. The temperature of 70F 21C could not have been better. The next FOTD will be posted in time. Until the time arrives, take care, and the U.S. president, Mr. Obama, recently stated in an address to the United Nations that the cause of empire leads to the graveyard. Since, his country, the United States, has over 500 military bases scattered around the world, I wonder which nation he was talking about. And I'm a little on the conservative side. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Intricate_Web { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=DivideJulibrot passes=1 center-mag=5.51/0/34.5/1.4601/-90/0 params=89.98/0\ /89.98/0/-0.77/0/0/0/1.05/1.5 float=y maxiter=600 inside=0 logmap=198 periodicity=6 sound=off colors=00033844B66E88HAAKDDNGGQJJSMMUPPWTTYXX_``bg\ ghmmmmmpmozorzrzzzzzmmmmmmcccUUUPRoMDUBIBJHARH9ZG8\ c32eA5fG7hNAmR0kS6iTCkQ9mNCmQFmTImWLmZOmaRrdUre_rg\ bqddpb`q`YrYUtWQwUNzRLzOJzLHzIFzFDzDBzHPzLazOnzHZz\ AKzF5zF8zKAzQDzWFzaHzgKzmMzmOzmZzmZzmdzmazmZzmXzhL\ zcKzZKzeKzbJz`IzZHzaOzcVze`zhgzjnzltzfqzanzWkzRhzL\ ezGbzB`zNkzYvzWizVYzMOzDFvPIr_KmVRZQYcLdZOgUQjPSlK\ UoMWlNRfON`PIVQEQK9UO5YS1bb0fl0zeDz_PzT`zNlzrzzjwz\ eszUqzPmzQkzN`zKRzHGuF6pJ9kNCkQEpUHuXJz2oz9izFczFp\ zFjzFdzFZzFTzFOzJSzMVzPYzT`zWczZfzWezUdzSczQbzObzL\ dzJez5szBlzHfzN_zTUzZNzcHz`JzYLzVNzSPzhazaYzWVzQRz\ JOzDKz1Bz7HzDMzJRzPWzVaz`fzfkzf8zkpzgozcnz_mzWlzSk\ zOjzHlzKjzMhzPfzRdzTbzW`zYZzScz_XzXazVezTjzRnzOMzO\ PzORzOUzJ1zLCzMMzOWzPezKyzNtzQozTkzWfzZbzaYzYYz`Wz\ bVzdUztRzoSzjTzfTzaUzXVzTVzOWz70zCBzGMzKWzOfzsBzUv\ zSpzQjzhqzWhzPdzIazBZz0_z } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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<Brian>Yr "monochrome details" of Jim's FOTD 'Another First' r very nice.
by Hal Lane 25 Sep '14

25 Sep '14

Brian, I hadn't noticed your monochrome details until today. They're very nice. I've forgotten if you've mentioned how you calculate your details of Jim's fractals... Let me take a wild guess: Do you use a multi-core version of UltraFractal -- and a different "coloring" option than just iteration? - Hal Lane ######################## # hallane(a)earthlink.net ######################## ======================================= Author: Brian Prentice Date: 2014-09-11 08:59 -400 To: Fractint and General Fractals Discussion Subject: [Fractint] Re: FOTD 08-09-14 (Another First [A-7,M-8]) Here are four more monochrome details: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88c.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88d.png Brian Prentice ======================================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Lg anti-aliased vers of new Jim Muth FOTD images r now on my site.
by Hal Lane 25 Sep '14

25 Sep '14

Large anti-aliased versions of Jim Muth's FOTD images for Sept. 18 - 22, 2014 and some of my 'investigations' into their parent fractals are now on my site. Thanks again for navigating through my Home Page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 22-09-14 (Eight Buttons [A-7,M-7])
by Jim Muth 23 Sep '14

23 Sep '14

FOTD -- September 22, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "Eight Buttons" because eight buttons are in the image, seven around the minibrot, the eighth in the upper left corner. Actually, an infinity of similar buttons fill the frame, though they are too small to be visible at the magnitude of today's image. The squashed-bug shaped Z^(1.57)+C parent fractal is the same one that held the most recent image. Today's scene lies in a jagged disconnected string of debris well inland from the southern branch of Seahorse Valley of the parent. The art is nothing to write home about and the math is hardly new, so both the art and math aspects of the image rate an adequate 7. The calculation time is the real winner however. At a fireball fast 30 seconds, the image will be finished, if anything, in too brief a time, so make things more interesting by visiting the web sites. The finished image is posted online 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> There was definitely a touch of autumn in the air today here at Fractal Central, with a brisk north wind, blue sky mixed with dark lumpy clouds, and a temperature of 64F 18C. The fractal cats enjoyed the outside from the inside, while the fractal humans found only a little in either place to enjoy. The next FOTD will be posted in the not-too-distant future. Until whenever, take care, and stay alert for the next imminent threat. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Eight_Buttons { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ2 center-mag=-0.75323622\ 1191/-0.031330167676/3502642/1/127/0 params=1.57/0\ /0/1.57 float=y maxiter=2000 inside=0 logmap=86 colors=000A0K90M80O70Q60R50U40V30Y20T10P00N00K00H0\ 0F00C000400C10KCSIADQIObYVpjbzrbzzYzzSpzPmzKjmHszC\ gz9ez4ez10zz0zz0xz0gz0Sz0Cz00z00z00z00z00z00r00e00\ Sz0Ez41zC0zM0zU0zb0zY0rU0lS0zP0zM4zKEzHPmE_pCjc4_c\ 0Sc0Kz09z01z00m00m40mM0m0zm0zmEz_bzzxxzzpzzj0zg9ur\ KpzYgzgbzuYzzPzzKzzEzzSzuezbrzMzz6zx0zS0z00z9zzMzz\ _zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzxzzrzzmzzgzzmzzrzuuzmzzgz\ z_zzUzzMzzHzz9zz4zz0zz0zz0zz0zz0zz0zz0zz0xz0mz0_z0\ Pz0Cz01z00z00z00z00z00z00z00z00z00z00z00z00z00z0Ez\ 4UzHjzSzzezzpzzPmz19z00z00z00z00z00zr0zr4zrCzrHzrM\ zrSzrYzrbzzgzzmjzpPzu6zxgzzzzzzzzjzx0zC0zE0zE0zE4z\ E9zHEzHMzHSzHYzKbzKgzKmzKpzzrzzrzzuzzuzzxzzxzxzzpz\ zgzz_zzSzzKzzCzz4zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0xz0\ rz0mz0gz00zb0zz0zm0zC0z00z00z00z04z0Cz0Kz0Sz0_z0gz\ 0pz0xz0rz0mz0gz6bzEYzMSzS } frm:BranchCutGenHJ2 { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*Z+p2)+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 21-09-14 (The Bright Side [A-6,M-8])
by Jim Muth 22 Sep '14

22 Sep '14

FOTD -- September 21, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's scene lies in the southern branch of the distorted Seahorse Valley of the amorphous parent that results when the expression Z^(1.57)+C is iterated 1.57 levels up the complex logarithmic hyperspiral. This parent somewhat resembles a squashed bug. I chose 1.57 because this is close to half the value of PI, and with the BranchCutGenHJ2 formula the branch cut hyperfractals are in a cycle of 2*PI. The image was calculated with a maxiter of over one-million. This slows the calculation process notably, but is necessary to fully resolve the prominent minibrot, whose bright upper edge inspired the name "The Bright Side". This brilliant upper edge contains elements of extremely high iteration count, which makes the ridiculous maxiter necessary. The art has nothing special to offer, so it rates a mere 6. The math rates an 8, mostly because of the ultra-high iteration stuff on the northern edge of the main bay of the central minibrot. With a maxiter of 1,250,000, the image is slow, taking over 9 minutes to finish on a high speed SOTA machine, that is if one can be found that does not get constipated when it hears the word DOS and then needs an add-on program to get it moving. Luckily, the FOTD web sites are online to avoid the whole messy problem. Much time may be saved by viewing 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> Today brought a late taste of summer to Fractal Central, with partly cloudy skies, a gentle south wind and temperature of 82F 28C. The fractal cats were so eager to get outside that the humans discussed screening in the back porch to give them a safe outdoor catarium to enjoy. The next FOTD will be posted in the proper time, which of late has been every two or three days. Maybe I should think of another name for the FOTD, since it no longer reliably appears every day. Until whenever, take care, and when things go wrong, look for a bright side and then expect to pay a small fortune to a psychotherapist. Jim (Captain Negative) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Bright_Side { ; time=0:09:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ2 center-mag=-0.70820832\ 38/+0.2323163283/21468/1/52/0 params=1.57/0/0/1.57 float=y maxiter=1250000 inside=0 logmap=260 colors=000`UccUffUiiUllUhoUkrTnuSqxKwvLtuLrtMpsMnr\ NlpNjoNhnOfmOdlPbkP`iQZhQXgQVfRTeRRcSPbSNaTL`TJ_TH\ ZUFXUDWVBVV9UW7TW5SW3TV4TU4TT4TS5TR5TQ5TP6TO6TN6TN\ 7TM7TL7TK8TJ8TI8TH9TG9TF9TFATEATDATCBTBBTABT9CT8CT\ 7CT7CT7CT7CR8DQ9EP9EOAFMBGLBGKCHJDIIDIGEJFFKEFKDGL\ 6BGCGLHLQMQURVZW_c`dgeiljnqpvvosunqunoummumkuliukg\ ukdujbuj`uiZuhXuhVugTugQufOseMteKtdItdGtcEtcCsaCr_\ CrYCrWCrUBpSCpQCpOCpMBnKBnICnGCnEBlCBlABl67r79o8Al\ 9BiACgADfBEdCGaDH_DIYEZWFZTGZQHZNHZLIZIJcFKcCFc4Ic\ 7KcAMcDOcGQcIScLUcOWcRYcU_cWacZccaecdgcgncfkchicig\ cjdckbcl`cmYcnWcoXcsVcqUcpTcnScmRclPcjOciNcgMcfLce\ JccIcbHc`Gc_FcZDcXCcWBcUAcT9cS7cQchPchNchMchMcmLcm\ LcmLcmLcmLczKczKczKczKczKczJczJczJczJczJczIczIczIm\ zImzImzHmzHmzHmzHmzHmzGmzGmzGzzGzzEzzGzzHzzJzzKzzM\ zzNzzPzzQzzSzzTzz6zzIzzUzzezzszzqzzozznzzlzzjzzizz\ gzzfzzdzzbzzazz_zzZzzXzzV } frm:BranchCutGenHJ2 { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*Z+p2)+C, |Z|<100 } END PARAMETER FILE=========================================

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A fractal in snow
by JackOfTradeZ＠comcast.net 22 Sep '14

22 Sep '14

. And people think crop circles are made by space aliens! .

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A fractal in snow
by Hal Lane 20 Sep '14

20 Sep '14

For anyone who could use a little advance cooler weather, here's someone who created a fractal in snow: "Snowshoes and Math Create Frozen Art" http://tinyurl.com/l7njlz7 or: http://static.ddmcdn.com/gif/snowshoes-and-math-create-frozen-art-131230-670 x440-mandlebrot.jpg - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 18-09-14 (The Holy Prophet [A-8,M-6])
by Jim Muth 18 Sep '14

18 Sep '14

FOTD -- September 18, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Rational thinkers know that it is impossible to know the future. And science tells us that fortune telling is nothing more than taking the current situation, adding the logical and most likely future developments and claiming to have supernatural powers. Undoubtedly, this is how some fortune tellers operate, but how then can we explain the genuine prophet that appears in today's image, shining mystical enlightenment from heaven down to those on earth who are ready to receive it? I have no answer. All I know is that today's image was created when I calculated the expression Z^(1.1)+C at a level PI turns up the hyperladder. The formula that I used, the new BranchCutGenHJ2, is the same as the previous BranchCutGenHJ formula but with a few parentheses removed. With the parentheses gone, the formula draws different and apparently more accurate branch cut images, all of which have X-axis symmetry at the PI level regardless of the exponent. Today's parent fractal vaguely resembles a Mandelbrot set rotated 180 degrees with a broken 'East Valley' edge on the west and large period-2 bud on the east. Curiously, no higher order buds are in the parent fractal. Today's image is located in the arc of debris on the north side of the parent's main bay. I named today's image "The Holy Prophet" when I felt the enlightenment streaming down from above. (Yeah, I know. It's all supposedly been shown to be brain chemistry.) The art rates an 8, showing me in the fullest depths of my 'blue' period mood. The math rates only a 6, since we have been here often enough already. The image calculates in about 6 minutes, just enough time to have a mystical revelation. But the revelation may be avoided and reason preserved by visiting the web sites. Save time and rationality. 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> Virtually perfect weather prevailed here at Fractal Central today, with photoshop blue skies decorated with cottonpuff clouds, light winds and a high temperature of 72F 22C. The fractal cats enjoyed the outside conditions from the inside, wishing they were back at old fractal central, where the old fractal cats enjoyed the outside from the outside. The next FOTD will be posted in the proper time. Until whenever, take care, and we call terrorists cowards, but how cowardly is it for a person to strap a bomb on himself and blow himself to pieces for a cause he considers right? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Holy_Prophet { ; time=0:05:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ2 passes=1 periodicity=6 center-mag=+0.067731424695227/+1.052097904716526/\ 8.284864e+008/1/142.5/0 params=1.1/0/0/3.141592653\ 58979 float=y maxiter=12500 inside=255 logmap=-722 colors=00000200300400500600700800900A00B00C00D00E0\ 0F00B00H00C00800E00D00J00F00K00K01L02M01M01N01N01O\ 01O01P01Q01R31S61TA1UE5WIAYMC_QEaUGcYIeaKgeMiiOkmQ\ mmSmmUmmWmmYmm_mmammcmmemmgmmimmjmmkmmlmmmmmqmmrmm\ nmmommpmmqmmrmmsmmtmmummvmmwmmxmmymmzmmzmmzmmzmmzz\ mzzmzzmzzmzzmzzkzzjzzjzzizzizzhzzhzzhzzgzzgzzfzzfz\ zezzezzezzczzczzcwzcwzcwzcwzcwzcwzcwzcwzcwzcwzcwzc\ wzcwzcwzmwzwwztwzqwznwzkwzhwzewzbwz_wzZwzczzczzczz\ czzczzczzczzczzczzczzczzczzczzczzczzczzgzTlzSqzRmz\ QjzQgzQdzQgzcdzebzf`zhYziWzkUzlSzmhzVDzTDzTDzUDzUD\ zUEzUEzUEzUEzUEzUEzUEzVEzVEzVEzVEzVFzVFzVFzVFzVFzW\ FzWFzWFzWFzWFzWGzWGzWGzWGzWGzXGzXGzXGzXGzXGzXGzXHz\ XHzXHzYHzYHzYHzYHzYHzYHzYHzYIzYIzZIzZIzZIzZIzZIzZI\ zZIzZIzZIzZJz_Kz_Kz`Lz`LzaMzaMzbNzbNzcOzcOzcPzdQzd\ QzeRzeRzfSzfSzgTzgTzhUzhUzhVziWziWzjXzjXzkYzkYzlZz\ lZzm_zm_zmZzlZzkZzkZzjzzz } frm:BranchCutGenHJ2 { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*Z+p2)+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 16-09-14 (Small But Impressive [A-8,M-7])
by Jim Muth 16 Sep '14

16 Sep '14

FOTD -- September 16, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: At first glance it appears that the minibrot at the center of today's image is quadratic. At second glance however, things are seen to be not quite as they should be. The count of the surrounding elements is far from the expected 2,4,8... series, indicating that the minibrot is not quadratic, but of order 1.75. The parent fractal is the slice through the hyperspiral at a level of 3 turns up the ladder. This parent resembles a squashed bug, with a smaller disconnected bug lying just northwest of the main body. Today's scene is located in a valley on the northeast shore line of this smaller bug. I have named the image "Bogus Minibrot" because the central midget so closely resembles a quadratic one, yet is actually created by the expression Z^(1.75)+C. The are rates an 8. I put about 20 minutes effort into the coloring. The math rating of a 6 lags behind because we have been here so often before. The calculation time of 2-1/2 minutes is fair enough, and the remaining effort of running the parameter file may be eliminated by viewing the scene on one of the web sites. The finished image is available online 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> Near perfect weather prevailed here at Fractal Central today. The morning fog cleared off by 9am, leading to a day with tons of sun, enough clouds to make things interesting, and a temperature of 68F 20C. The fractal cats busied themselves watching the pigeons, while the fractal humans watched the work get done. The next FOTD will be posted in a day or two or three. Until whenever this is, take care, and a few hundred years ago we survived without electricity. Now we would face imminent extinction if we ever lost the use of our hi-tech gadgets. Is this to be considered progress, and if it is, what is the goal? Jim (Technology will save us.) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Bogus_Minibrot { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ maxiter=3600 inside=0 center-mag=-0.7609519499142745/+0.2555074239934655\ /4.212139e+009/1/165/0 params=1.75/0/0/3 float=y logmap=460 periodicity=6 mathtolerance=0.05/1 colors=00000C11D11E11F11G22H22I22J33K33L44M44N55Q5\ 5T66W67U59T6BR8FRAJQCNUKLZWRczZjotzB5O95O85O76O67O\ 59O5BOaiSenThsUmxVrzVwzVqzTkvP_sNVnKPiGLfFGbCBY87W\ 75R55O54N44N44N45N47N49N4AN4BL4DL4FL4HL5IL5KL5NL5O\ M5QM7TN8UN8XOAYOB_PCbPDcQEfQFhRGiRGkQGmQGnPHpOHcNH\ cMHcMHcMIcLIcKIcKJcKJcJJcJJcIIcGIcFHcEHcDHcDHcFKcH\ MhIMmJNiKOeLP`MQXORTPRRRRPRULSWIUYEX_AYb8`c8bf9dh8\ bf8af8ae8Ze8Xc7U`7RY7PY7NY7LY8JY9HYBG_BEYCEYDCYB9X\ A7XA6U85T85Q85O74N44J33H33Hhzmezhbzc_zZYnUZhXZb__`\ b_Zh`Vp`RvXMqTJnQGkNDhKAeH7bMAmPBvRBqUBmYGi_LebQae\ XaXTWQQQLLLGLJ8KF4KC4K95O9BTBGXCM`BTcCZhDemClqDstE\ bBvZAmW8eS7YQ5RN4KL4FCzzGvzKsyOoxSkvVht`gtdeseaqhX\ piTnmPnjNmhMmfLmdJkcJk`IkZHkYGiVEiUEiRDiPBhOAhM9hK\ 9hJDeJGbKK_ILXHNUFPRFOOLpAJk9ppAppDppJppOppTppoppl\ ppizzhzzgzzdzzazzezzdzzczzczzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*(Z+(p2)))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 14-09-14 (Small But Impressive [A-8,M-7])
by Jim Muth 14 Sep '14

14 Sep '14

FOTD -- September 14, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image shows some of what happens when the expression Z^(1.75)+C is iterated in Mandelbrot mode a mere one-half level up the complex logarithmic hyperspiral. The parent fractal is little more than a shapeless blob somewhat resembling a squashed bug. Today's scene is located on a filament extending from the small period-5 bud on the southest side of the main bay. The art rates an 8, mostly because of the unusual color scheme, which came about almost totally by accident. The effect of small terraces was achieved by rendering the scene with the outside set to 'tdis'. The math rates a 7. I rated it because I was rather impressed with the near perfection of the central minibrot, which is quite well shaped, especially considering the chaotic shape of the parent fractal. In fact, the minibrot could almost pass for an everyday distorted quadratic minibrot. The surprisingly undistorted shape of this minibrot inspired the name "Small But Impressive". The calculation time of 2-1/4 minutes is well within reason, and the web sites are there to make the task even easier. So join the trendy set. Check 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> Today, the second Sunday in September, turned out pleasantly brisk here at Fractal Central, with a mix of sun and clouds, a bracing north wind and an afternoon high temperature of 64F 18C. At least the fractal cats must have thought so, since they checked the outside conditions from their window shelf almost constantly. The fractal humans meanwhile checked very little of anything. The next FOTD will be posted in a day or two or three. Don't be surprised if it actually appears in one day. Until whenever, take care, and I can't wait to not buy the latest electronic gadget, though one of these days I might actually pick up one of those throw-away cell phones. As for now, how do I get along without a cell phone? . . . Actually quite well! Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= SmallButImpressive { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ passes=1 periodicity=6 center-mag=+0.619070684629/-0.108169923219/2.7e+10\ /1/117/0 params=1.75/0/0/0.5 float=y maxiter=12000 inside=0 outside=tdis mathtolerance=0.05/1 colors=000PQlMOnJMpGKqDIsBGtCHsCIsDIrDJrDJrBKpAKo9\ Lm7Ll6Lk5Mi3Mh2Nf1Ne0Nd5Kf9HhDEjIBlM8nQ5oP9kOChOFd\ NIaMLZMPVLSSKVPKYLJ`IJcFKbEKaEKaDL`DL`CL_CMZBMZBMY\ AMYAK_9J`8Ia8Hb7Fd7Ee6Df6Cg5Bh5AfA9dE8bI8`M7ZQ6XU5\ VY5Ua7Sb9QcBOcDMdEKeGIeIGfKEfLCgNAhP8hR6iS4iU8jWBj\ SIdPPPUUUZZZccchhhmmmrrrzzzvvvrrrmmmhhhcccZZZYTkVF\ jRCiO8eK4aH1XD0S90ND0NH3RL7TQCWSGZUL_XP_ZUZ``ZbeYc\ lWmoVqtTwzSwzRwvNrtKmqHhmEchAZd7XX4WQ1TN4RJ6OI8MHA\ JGCHGFEGHCGJ9GL7HNBNUFS_JXeNakQfqNdhLc_JbSGaJE_AKY\ 2UWGcUTmRfvOssNqpNomNmjNlgNjdNhaNfZNeWMcTMaQM_NMZK\ MXHMVEMTBMSOEa`7kl0th2qd3o`4mX6jU7hQ8fMAcIBaFC_BEX\ 7FV3GT0HR9RPH_NQiLYrJVkNTdRRYVPSZMLbKEfI7jG1nH4lH7\ jIAiIDgJGeJJdKMbKP`LS_LVYMYWM`VNZWNXXNVYNTZNR_NP`O\ NaOLbOJcOHdOFeOEeUKhZQjdWliandcm_emVgmQimLkmGmmBom\ 7pmqZmk`lfal`ckWdkQfjLgjGhjLdfPacUZ_YVXaSUfPQjLNoI\ JsFGwCDuGEsJErMEpPEoSEmVE } frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*(Z+(p2)))+C, |Z|<100 } END PARAMETER FILE=========================================

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<Brian> Great details of Jim's FOTD 11-09-14 !
by Hal Lane 12 Sep '14

12 Sep '14

Brian, Those are great details of Jim's FOTD 11-09-14 (Fiery Fingers) -- and very appropriate color maps for those particular images, too. I especially like your: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_89b.png It has a strong 3D feel to it -- like you're inside a crystal lattice that's sliced up by some multi-dimensional effect. Or maybe a bit like what an ant sees when its trapped inside a pile of sticks from the game "Pick Up Sticks"... - Hal Lane ######################## # hallane(a)earthlink.net ######################## ---- Brian Prentice wrote ---------------------- Author: Brian Prentice Date: 2014-09-12 10:16 -400 To: Fractint and General Fractals Discussion Subject: Re: [Fractint] FOTD 11-09-14 (Fiery Fingers [A-8,M-8]) Two details from this fractal: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_89a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_89b.png Brian Prentice ------------------------------------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Re: [Fractint] FOTD 11-09-14 (Fiery Fingers [A-8,M-8])
by Brian Prentice 12 Sep '14

12 Sep '14

Two details from this fractal: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_89a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_89b.png Brian Prentice

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FOTD 11-09-14 (Fiery Fingers [A-8,M-8])
by Jim Muth 12 Sep '14

12 Sep '14

FOTD -- September 11, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today is the 13th anniversary of the 9-11 attack, so in honor of the grisly occasion I have found a fiery looking fractal. I named the image "Fiery Fingers" quite naturally. The parent fractal is the Z^(1.00625)+C Mandeloid as it appears only one turn up the complex hyperspiral. This parent resembles the typical bullet that is so common in fractals in this range of exponents. In fact, the exponent of Z in today's image, 1.00625, is as close to unity as I have yet come. In this ultra low range, very little chaos remains, but there is some, and the next FOTD will show a scene in this unlikely chaos. Today's scene shows no chaos, but rather a field of branch-cut discontinuities resembling a large fire. The fiery effect is totally due to the coloring, which earns the image an artistic value of an 8. The math also earns an 8, due to the ridiculously low value of the exponent of Z, which produces a fractal anyway. The calculation time is the big loser. The 9-1/3 minutes required to complete the image is far more than the scene is worth. But once again, the web sites rush to the rescue. The official FOTD web site is now up and running. It may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> The other sites are 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> The weather here at Fractal Central today was nondescript. The day brought some clouds, some sun, a few light sprinkles and a temperature of 81F 77C. It amounted to a day to soon be forgotten. The fractal cats forgot the day as soon as it began, with Lida and Jasmine chasing each other up and down the hallway most of the morning, while Nicholas watched the silly girls with curiosity. The next FOTD, which will be very chaotic, will be posted in a day or two or three. Until the moment of revelation arrives, take care, and I want to be a version of me that exists in an alternate reality where total peace prevails. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fiery_Fingers { ; time=0:09:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ passes=1 logmap=1382 center-mag=+0.2231219686/+1.1926346751/11074/1/87/0 params=1.00625/0/0/1 float=y maxiter=15000 inside=0 colors=0000z00z00z00z00z00z00z00z40z80zB0yF0wJ0rO0\ nR0lW0g__0JHFU0ec0zz0zw0zr0zn0yi0re0na0gY0aU4YP8RL\ BLHDHDHB9L66O24P46R66U68U88W88Y99_99_B9aBBcDBcDBcD\ Bp_0eY0WY0LY0BY02W00W80WF0iL0cL0_L0WL0RL0LL0HL0DL0\ UF0LH0FJ09L04O00P00R00P04P0FP0RP0cP0cP0cF0cL0cP0cW\ 0c_0ce0ci0cy0cu0cr0cn0cr0cp0cn0cl0ci0cg0ce0cc0ca0_\ z0Wr0Ra0Jc6BcB6eu0ew0gy0gz0lz0gz0ez0az0_z0Yz0Uz0Rz\ 0Oz0Lz0Jz0Fz0Dz09z08z04z06z06z06z46zB8zJ8zU8za8zyU\ zrKzmAzc0zY0zN0zF0w80w00u00r00p00n00l04i00l00i00i0\ 0g00g00e00e00e00c00c00a00a00c00c00a00_60Y40W20U00R\ 00P00O00L00J00H00F00D00B009008006004002000608B0FH2\ LP6UW8_aBgiDnpHwwJzzLz00z00w40p80lB0gF0aJ0YO0UR0OW\ 4J_9DcD9gJ6lO0pU0uY0iz0nz0rp0wa0zL2z86z09z08z06z04\ z02z00z00z00z40z80z90zD0yH0yJ0lL8aLFPLPFLD00L00R26\ Y6LcB_iFppLzwPzrLznHzlDzg9ye6ra2naBUcBFcD4eD0eD0_6\ 0W00P09L0JH0WB0e80p40zz20 } frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*(Z+(p2)))+C, |Z|<100 } END PARAMETER FILE=========================================

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Re: FOTD 08-09-14 (Another First [A-7,M-8])
by Brian Prentice 11 Sep '14

11 Sep '14

Here are four more monochrome details: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88c.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_88d.png Brian Prentice

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FOTD 08-09-14 (Another First [A-7,M-8])
by Jim Muth 09 Sep '14

09 Sep '14

FOTD -- September 08, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's scene, which lies just beyond the range of perfect resolution, is named "Another First". The reason for the name is that the central minibrot is the first one I have stumbled upon that is so obviously divided into two separate parts. The formula that created today's Mandeloid image is Z^(1.09)+C. I calculated this formula a mere 0.75 levels up the hyperspiral, which created a parent shaped like a bullet or torpedo diving to the southeast. This bullet shape is quite common in Mandeloids with an exponent of Z only a small amount greater than unity. Today's scene lies in a large field of debris near the northwest limit of its parent. The image rates a 7 for its artistic value and an 8 for its math value. The calculation time of over 8 minutes is mercilessly slow, making a visit to the web sites the better choice. Unfortunately, the official FOTD web site is temporarily down for repairs, but the finished image is or soon will be posted to the following three sites: <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 temperature of 77F 25C here at Fractal Central today was near perfect, but too many clouds filled the sky to call the day absolutely perfect. The fractal cats agreed. Eleven-year-old all-black Nicholas watched curiously as one-year-old Jasmine and 4-month-old Lida chased each other up and down the fractal hallway until both ran out of steam and collapsed into exhausted heaps. The fractal humans, who must keep going even when the steam runs out, had a near normal but busy day. The next FOTD will be posted whenever it is. (Yes, there will be more FOTD's. The current slowdown is due to renovations here at FC.) Until that cosmic moment of renewal arrives, take care, and keep abreast of the anachronistic FOTD. It's a real blast from the past! Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Another_First { ; time=0:08:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ passes=1 maxiter=16000 center-mag=+0.08161045089428424/+1.91554357086089/\ 1.877911e+012/1/-25/0 params=1.09/0/0/0.75 float=y inside=0 logmap=468 periodicity=6 mathtolerance=0/1 colors=000eRGdTFbVEaXD__CZaBYcAWe9Vg8Ui8Th7Sg7Sf7R\ e7Rd7Qc7Pb6Pa6O`6O_6N_6MZ6MY5LX5LW5KV5KU5JT5IS5IR4\ HR4HQ4GP4FO4FN4EM3EL3DK3CJ3CI3BI3BH2AG2AF29E20008D\ 28C27B27A1691591581471461350240230120110000sbSo_Ql\ YOiWNfULcSK`QIYNHVLFSJEOHCLFAID9FA7C869646433214Us\ 3So3Ql3Oh3Me2Ka2IZ2GV2FS1DO1BL19H17E05A037013u2Ys1\ Xr1Wq1Wp1Vo1Un1Um1Tl1Tk1Sj1Ri1Rh1Qg1Pf1Pe1Od1Oc1Nb\ 1M`1M_1LZ1LY1KX1JW1JV1IU1HT1HS0GR0GQ0FP0EO0EN0DM0C\ L0CK0BI0BH0AG09F09E08D08C07B06A0690580470460350340\ 2301201100i4zh3yg3xg3wf3vf3ue3te3sd3rd3qb3pa3o_3nY\ 3mX3lV3kU3jS2iR2hP2gO2fM2eL2eJ2dH2cG2bE2aD2`B2_A2Z\ J2mJ2mI2mI2mH1mG1mG1zF1zF1zE1zE1zD1zD1zC1zC1zB1zA1\ zA1z91z91z80z80z70z70z60z60z50z40z40z30z30z20z20z1\ 0z10z00z3Qz2Pz2Pz2Pz2Oz2Oz2Oz2Nz2Nz2Nz2Mz2Mz2Mz2Mz\ 2Lz2Uz2Uz2Uz2Uz2Uz2Uz2Uz2Uz2Zz2Zz2Zz2Zz2Zz2Zz1Zz1Z\ z1cz1cz1cz1cz1cz1cz1cz1cz } frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*(Z+(p2)))+C, |Z|<100 } END PARAMETER FILE=========================================

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3D Printing fractals
by Hal Lane 09 Sep '14

09 Sep '14

> ...shouldn't it be possible right now for a 3D printer to > create things like that, say, out of colored plastics? Multi-color 3D printer do exist now: http://mashable.com/2014/01/27/stratasys-3d-printer/ [The article says that Stratsys acquired consumer-oriented 3D-printing company MakerBot, that you may have heard of.] And another color 3d printer is here: http://tinyurl.com/Multi-color-3d-printing or: http://3dprintingindustry.com/2014/04/14/amaker-multi-material-multi-color-3 d-printing/ Another way to get shading / coloring is by using a transparent material: "A lithophane is an etched or molded artwork in thin, very translucent porcelain that can only be seen clearly when back lit with a light source." - http://en.wikipedia.org/wiki/Lithophane "Variations in thickness present a detailed, almost photographic image when light passes through. Night lights, ceramic panels and lamp shades utilizing this complex technique were popular in Victorian England." Be sure to see the photos of lithophanes at the bottom of the Wikipedia page. I believe that the lithophane of the cat is shown being made by cutting material away to create the varying thickness, rather than casting it (as with ceramics.) So, you could 3D print a 2D fractal using a transparent material -- with thickness as the "color" thus giving shades of a single color. When lit from behind you'd get a glowing fractal image. Anyone own a 3D printer? <--<< I once saw a white ceramic (probably Victorian) lampshade where the image appeared only after the light was turned on. Close examination showed that it varied in thickness in the pattern of the image. The image appeared in shades of gray on the featureless, smooth outside of the lampshade -- but only when it was turned on. It was a very pleasing effect. - Hal Lane ######################## # hallane(a)earthlink.net ######################## =========================================================== Author: JackOfTradeZ Date: 2014-09-08 14:37 -400 To: fractint Subject: [Fractint] While we're waiting for Jim Muth's next FOTD... (Hal Lane) Those are awesome! I have seen stuff like that before; shouldn't it be possible right now for a 3D printer to create things like that, say, out of colored plastics? Then we could print ornaments of the mandelbulbs etc - would make awesome living room decor! =========================================================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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While we're waiting for Jim Muth's next FOTD... (Hal Lane)
by JackOfTradeZ＠comcast.net 08 Sep '14

08 Sep '14

. Those are awesome! I have seen stuff like that before; shouldn't it be possible right now for a 3D printer to create things like that, say, out of colored plastics? Then we could print ornaments of the mandelbulbs etc - would make awesome living room decor! .

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While we're waiting for Jim Muth's next FOTD...
by Hal Lane 08 Sep '14

08 Sep '14

While we're waiting for Jim Muth's next FOTD, here are some interesting fractal photos by artist Tom Beddard. I believe they're ray-traced to give them their nice shadowing. Perhaps they could be '3D printed' -- but the painting of the patterns onto the built-up, printed 3D fractal would sure take a long time... ;-) http://www.sciencealert.com.au/news/20142706-25757.html The artist has more images at: http://www.subblue.com/ > gallery as well as a Mac fractal program at his: > projects - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 04-09-14 (Island Universe [A-7,M-8])
by Jim Muth 05 Sep '14

05 Sep '14

FOTD -- September 04, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: If anyone is still checking the list, the fractals will continue coming, maybe not every day but often enough to make a quick check always worth the effort. Today's image shows one of the more interesting minibrots I have yet found in a fractal with an exponent of Z between one and two. The exponent of Z in today's image is 1.77, and the complex logatithmic hyperspiral was sliced 2 turns from ground zero in the positive direction. The parent fractal resembles a distorted Mandelbrot set rotated so that the large bud faces southeast, with the nascent East Valley on the northwest side of the main bay. Today's image with its central minibrot lies on the northeast shore line of this rudimentary valley. I named the image "Island Universe" because the central minibrot, like all minibrots, contains an infinity of detail within its basin of attraction. The art aspect rates a 7 since I could have done more work on the coloring. The math rates an 8 because of the unusual richness of the scene with its shoestrings around the minibrot. The image calculates in 3 minutes -- about average for an everyday fractal. The image may also be enjoyed on the FOTD web sites. The image is online 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 mix of sun and clouds with a temperature of 86F 30C made today an enjoyable one here at Fractal Central. The trio of fractal cats agreed. The 11-year-old cat Nicholas slept while the one-year-old kitten Jasmine and the four-and-one-half-month-old kitten Lida Rose kept each other busy playing. The next FOTD will be posted in a day or so. Until whenever, take care, and when one side says 'We will stop bombing you when you stop terrorizing us' and the other side says 'We will stop terrorizing you when you stop bombing us', nothing gets done. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Island_Universe { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ passes=1 center-mag=-0.4379327761659057/+0.1996772042091487\ /7.854678e+008/1/7.5/0 params=1.77/0/0/2 float=y maxiter=2700 inside=0 logmap=392 periodicity=6 colors=000SVfcUKUUUcUKc_`_SPWKE2TVIXaX`gkcm_XcORVC\ KL0ECt9U4F2zBzz71130xQ6hJ4UD3Fz1mDoX8YG4HzzfWCSG6z\ 8sobT6QzzD92LmfF`WAPLzzzk3bW2QzcmiKET3Ywmccccmmm1s\ o0SQWJDmmmwmcchoUXbKMQAzDUA0ISH9E8Po_GYO8HCa4WJ2GT\ 70L50E30710pm6QP3oCPQ6CnDoYVHHF8uRhdgLKMAE_NPyDIi9\ CV66F3mzGZ9Ny9BV45mFCP7623x12h11U00FOpAGZ68H3hL5UE\ 3F71nr4Y_2HI1yz`ijRVVIFF9_JWREOfbQ948yk4dW2KG1ibY8\ 4C0xiVKadUfm`VAzp6eZ3LH1eE0VA0L70A3nfVPLFDbP6JCyog\ dYTKHEwPYhCPN8HB48s8TS4EDbz3Q25H4282BCJ78C346_juOV\ aCFJ1nI0P9bQdQHRD8DY8pP6bH4Q82D3Ac27U15K02A47T23Eq\ Xm_MXIBGehBSU7EF3Xk5OQ3GH2881UXamW9TF6JA4952G88I55\ 9CcP0zp0zXWzHwz0sz0`z0IzWKNLDFA67EKr9D_46I_ozIQVyf\ CiW9VL6FA3yUZrUT_UJIU91UT_UKRUFIUA9c5Gc`ScTIcJ9c91\ cO0cG0m85mF3mA1m5CmE6z79zf0zlwz_wzOwzCwzIwzXwzKwzF\ wzAwz5wzXwzMwzBwzqwz_wzIwz8wzzwzzwzzwzzwzzwzzwzzwz\ zwzzwzzwzzwzzwzzwzzwzzwzz } frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*(Z+(p2)))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 31-08-14 (A Strange Scene [A-6,M-5])
by Jim Muth 31 Aug '14

31 Aug '14

FOTD -- August 31, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's fractal image is simply one end of a parent fractal, which is shaped like a bullet. (One outzoom will reveal the entire bullet.) I named the image "A Strange Scene", since it certainly is rather strange, but then, all fractals are strange in some ways. I could rate the themeless artistic aspect of today's image no higher than a 6, and the math, which has been used countless times before, rates only a mediocre 5. The calculation time is an unusually slow 13 minutes, which definitely will lead to boredom and perhaps the mortal sin of rendering the image at thumbnail size to see if it is worth the effort of calculating at full size. Luckily, the web sites are there to eliminate such difficult decisions. So eliminate tough decisions View 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> A cloudy day with occasional showers and a temperature of 79F 26C passed quietly here at Fractal Central today. The fractal humans spent the day peacefully, while the three fractal cats had a relatively peaceful day also. The next FOTD will be posted -- this much is for sure -- but who knows exactly when that magic moment will arrive. Until whenever, take care, and it appears to me that our western scientific paradigm has assumed the rigidity of a religious dogma, with its structure being held in place by the power of polarized language such as real/imaginary, exists/does not exist, objective/subjective, true/untrue, and so on. Oh well, as long as we are protected from the threat of belief in irrational superstition, I guess it doesn't matter. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Strange_Scene { ; time=0:13:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ passes=t maxiter=10800 center-mag=-0.512692/1.39427/5.844799/1/-162.5/0 params=1.17/0/0/17 float=y inside=0 periodicity=6 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzz\ zLzzz777666888BBBEEEHHHKKKOOOSSSWWW___ccchhhmmmsss\ zzz00zG0zV0zj0zz0zz0jz0Vz0Gz00zG0zV0zj0zz0jz0Vz0Gz\ 00z00zG0zV0zj0zz0jz0Vz0GzVVzbVzjVzrVzzVzzVrzVjzVbz\ VzzbzzjzzrzzzzrzzjzzbzzVzzVzzVzzVzzVzzVrzVjzVbzhhz\ lhzqhzuhzzhzzhzzhzzhzzhzzlzzqzzuzzzzuzzqzzlzzhzzhz\ zhzzhzzhzzhuzhqzhlzakzAnzEmzImzMlzQlzUkzYkzbjzakza\ kzakz`kz`kz`kz_kz_kz_kzZkzZlzZlzYlzYlzYlzXlzXlzXlz\ WlzWlzWlzVmzVmzVmzUmzUmzUmzTmzTmzTmzSmzSmzSnzRnzRn\ zRnzQnzQnzQnzPnzPnzPnzOnzOozOozNozNozNozMozMozMozL\ ozLozLozKpzKpzKpzJpzJpzJpzIpzIpzIpzHpiHpjHqjGqkGqk\ GqlFqmFqmFqnEqoEqoEqpCruDqtDqsDqrDqrEqqEqpEqpEpoEp\ nFpmFpmFplFpkFpkGpjGoiGohGohGogHofHofHoeHodHncIncI\ nbInaInaIn`Jn_JmZJmZJmYJmXKmXKmWKmVKmVKlULlTLlSLlS\ LlRLlQMlQMlPMkOMkNMkNNkMNkLNkLNkKNjJOjIOjIOjHOjGOj\ GPjFPjEPiDPiDPiCQiBQiBQiA } frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*(Z+(p2)))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 28-08-14 (Spiralling Inward [A-8,M-6])
by Jim Muth 30 Aug '14

30 Aug '14

FOTD -- August 28, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's new formula is the ultimate speed-up for the branch-cut series. It was suggested by Hal, which explains the 'H' at the end of the formula name. The 'J' refers to my humble self. The name of the image, "Spiralling Inward", refers to the vaguely spiral arms radiating from the Z^(1.1892)+C minibrot at the center. The parent fractal is notably un-impressive, consisting of little more than a shapeless blob with a hernia. Today's scene is located in debris attached to the hernia, which actually is a large period-2 bud. The art rates an 8 because of the extra effort I put into the coloring. The math rates a lower 6 because the image holds nothing new. The calculation time of 1-1/2 minutes is fast enough to prevent impatience and slow enough for some anticipation to build. And as always, the web sites are always there for instant relief. Be smart! Avoid calculation by checking the image already calculated on the FOTD web sites a;: <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> Absolutely perfect weather prevailed all day here at Fractal Central today. (Absolutely prefect weather is defined as a temperature of 77F 25C, deep blue sky decorated with cottonpuff clouds, low humidity and a refreshing breeze from the north.) The fractal cats and humans all enjoyed the conditions to the best of their abilities. The next FOTD will be posted who knows when. To find out when, check back occasionally. Until whenever, take care, and Robin Hood's political leaning was definitely toward the progressive end of the spectrum. Prince John and the Sheriff of Nottingham were far more conservative. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Spiralling_Inward { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenHJ passes=1 center-mag=-0.7725304174498279/-0.8060210207318582\ /348959/1/-142.5/0 params=1.1892/0/0.1/8.3 float=y maxiter=2250 inside=0 logmap=115 periodicity=6 colors=000KXUKRZKMcKOcKQcKScKTcKVcMX_OYXQ__RacSbfT\ diUflVboWapXapYapZaq_aq``qX_rS_rO`rK`sG_sCZs8Yt4Xt\ 0Wt1To2Qj3Oe4L`5JW6GR7EM8BH89D98GA8IB7LB7NC6QD6SD5\ UE5XF4ZG4aG3cH3fI2hI2jO3cU4YZ4Rd5Li5Eo68t62o56k4Ag\ 4Ec3HZ2LV2PR1TN1WP6SRBPTFMVKJXPGZTD`YAbb7df4cc5b`6\ aZ6aW7`U7_R8ZP9ZM9YKAXHAWFBWCCVACU7DU5DWBGXGJYMMZR\ O_XR`aUagXblZesYgyXit_kpallcnheodgq`jrXltTnuPpwLrx\ HtvIsuIrtIrrJqqJqpJpoJpmKolKnkKniLmhLmgLlfLleKkdJk\ cJkbIkaIk`Hk_Hk_GkZGkYFkXFkWEkVEkUDkUDkVFhWHeWJbXL\ _YNXZQUZSR_UO`WLaYIa_GXXITUKOSLKPNGMOFLPEKPDJQCIQB\ HRAGR9FS8FS7FT6FT5FU4FUkcKhZKeUKbPG`QIYQJVRKSSLPSN\ MTOJUPHUQVTZgSgtSpnRqiQrcQrZPsUPsVRnVTjVVfVXaVZYV`\ UVbPVdLVfHVhCVj8Vl4Tj4Rh4Qf4Od4MbzL`zJ_zIazGczEhzD\ mzBrzAvzbzzezzgzzjzzlzzozzqzz_zzIzz1zz3zz5zz6zz8zz\ 9zzwzzwzzwzzwzzwzzwzzwzzwzzwz6wz6wz8wz9wzBwzCwzEwz\ FwzHwzIwzKwzIwzSwz`wzVwzQ } frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane Z=C=Pixel: Z=log(Z), Z=exp(p1*(Z+(p2)))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 25-08-14 (Half Hyperspiral [A-5,M-6])
by Jim Muth 27 Aug '14

27 Aug '14

FOTD -- August 25, 2014 (Rating A-5,M-6) Fractal visionaries and enthusiasts: Today's image might not be the best of all time, but it does show what happens to spirals in fractals of very low order. The parent fractal is the Z^(1.1)+C Mandeloid. At ground level this Mandeloid is little more than a tiny kidney bean, but when sliced at a level 0.5 turns up the hyperspiral, it opens up into a giant torpedo-shaped bay surrounded by scads of interesting details. Just north of the main torpedo lies a chaotic spiral, which is rather hard to pick out. Today's scene lies deep in this spiral. I could give the art a rating no higher than a 5, while the math rates a 6. The calculation time could be the best feature of today's FOTD. The 40-second wait is about as brief as calculation times come. Of course, the web sites are always online to make the viewing even simpler. The finished image for all it's worth is posted online 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> Absolutely perfect weather prevailed here at Fractal Central today, with all parameters as near perfect as possible. The fractal cat trio is now pretty used to having the other two around, though an occasional curse word does still slip out. The humans, thankful that the newcomer fractal cat is being accepted into the family, had a busy but otherwise uneventful day. The next FOTD will be posted within a reasonable time. Until reason prevails, take care, and there really are problems with no solutions. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Half_Hyperspiral { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGen center-mag=-0.26569227186\ 472/+1.06952228927006/6e+007 params=1.1/0.5 float=y maxiter=1500 inside=0 logmap=95 periodicity=6 colors=0000KcR`TKNJ0HN4JL8JP4KU5MZ5Qj5Wv4Sn4Pg4L_4\ IT3FM3BE387350wg5ra3nW2jX5fX7cX9cYCcYEcYGceQclZcsg\ czpcl_ehJic2jZDk_NlgYmngmhkmcnmYrmTumNXmbfmromqZmq\ Jmq3mo4mm5ml5mj6mh7mg7mlMmp`mtomfhmUamHVm4PmKRmATm\ CVmFWmIYmK_mNamPbmKemGgmCim8km4mm0om9mmHkmPixXhxVk\ xTnxSpxQsxPuxNxxMztf_jkaapbSucJydLw`NvXPtURsQTqMUp\ JdR`o2qk8ogDncJl_OkWUjSZhOdgLifHdhD_iAVk6Ql3zmUNkt\ PimTefWa__YTbUMfQFiM8mI2pF4nD6mB7lA900000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } frm:BranchCutGen { ; Jim Muth Z=C=Pixel: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 24-08-14 (A Forgotten Region [A-8,M-7])
by Jim Muth 25 Aug '14

25 Aug '14

FOTD -- August 24, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: With a new fractal cat on the loose here at Fractal Central, things have been busy, busy, busy. But they have not been too busy to dredge up another fractal, which is no surprise. After all, the supply of fractals is limitless. I found today's mini-wonder along the main spike of the Z^(2.001)+C minibrot at the tiny level of 0.001 turns down the hyperspiral, where the large minibrot on the spike is just starting to split apart. The exact location is in the debris where the main bud of the minibrot has come apart. The name "A Forgotten Region" refers to the fact that all fractals are only potentially real until they are stumbled upon by an intrepid explorer (like myself). The art rates an 8 because this describes the effort I put into the coloring. The calculation time of 40 seconds is mercifully brief, making viewing the image a pleasure rather than a chore. And the web sites can make things even better. 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> A perfect day passed here at Fractal Central today, with a temperature of 79F 26C and photoshop blue skies decorated with cottonpuff white clouds. The fractal cats enjoyed the conditions as much as possible, while the humans did the same. The next FOTD will be posted in the near future. A picture of the new fractal cat will also be posted shortly. To find out how near the future will be, check back early and often. Until next time, take care, and pay no attention to the things those ignorant ________ on the other political side are saying. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Forgotten_Region { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGen passes=1 center-mag=-1.776382357/-0.002152907/6083/1/75/0 params=2.001/-0.001 float=y maxiter=875 inside=0 logmap=47 periodicity=6 colors=000010012024436848C5BG6EK8HOAKRCNUFQXIU_MZb\ RceYhhbmkgrmjvpmzrqzutzwyzyzzsvzmqvgkrafm_XhYNfWDp\ YClZChXBeWBaVAZUAVU9RT9OT8KT8HTAFTBDTCCTEATF8TG7TI\ AUJDVKGWMJXNMYOPYQSYRVYSYYT_YYUYaOYdJXdDRe7Lf2Oe3Q\ c4Sa5V_6XX7ZU8`S9ZUBXVCVWDTWERXFPYGNYHHgNBpT6yZBx`\ FwbJwdOvfSvhWuj`tldtnhspmsrqrturumjlehcYhVRhNOrzMr\ zKrzJrzIrzGrzFrzErzCrzBrzArz8rz7rz6rzGrzQrzZsz`qzb\ ozcmzekzfizhmzjmzkmzmmznmzkmzimzgmzemzcmzajz_lzYnz\ WozUqzUszUtzUvzUwzcwzcwzcwzcwzcwzcwzcwzcwzcvzcvzcv\ zcvzcvzcvzcpzcvzcvzcvzcvzcvzcvzcuzcuzcuzcuzcuzcuzc\ uzcuzcuzcuzcuzcuzctzctzctzctzctzctzctzctzctzctzctz\ ctzcszcszcszcszcszcszcszcszcszcszcszcszcrzcrzcrzcr\ zcrzcrzcrzcrzcrzcrzarzcrzcqzcqzbqzbqzcqzcqzcqzcqzd\ qzdqzdqzdqzHzzIzzIzzIzzIzzJzzJz_JzZJzZKzZKzYKzYKzY\ KzXLzXLzXLzWLzWMzWMzVMzVMzVMzUNzUNzUNzTNzTOzTOzSOz\ SOzSOzRPzRPzRPzQPzQQzQQzP } frm:BranchCutGen { ; Jim Muth Z=C=Pixel: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<100 } END PARAMETER FILE=========================================

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Multifractal Images
by Hal Lane 23 Aug '14

23 Aug '14

Albrecht, I'm enjoying seeing all your images again. Thanks for making them available. I've got to get my sound card working again to be able to listen to your music! I don't seem to be able to keep it working... - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 22-08-14 (Rectangle's Cousin [A-8,M-7])
by Jim Muth 23 Aug '14

23 Aug '14

FOTD -- August 22, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: In the Z^(2.003) Mandeloid there are curious rectangles near the X-axis just east of the large minibrot, which are especially prominent in the Julia sets of the area. Today I wondered what exists in this same area of the Z^(2.002) Mandeloid. What I found is a kind of proto-rectangle, filled with a slew of intricate and quite decorative detail. As is the case with the Z^(2.003) rectangle, a tiny change in the 'C' value makes a great change in the image. Today's image shows one of the more impressive aspects of this protorectangle. The reason for the name "Rectalgle's Cousin" is obvious. The calculation time of a zippy 35 seconds will pass in a flash and a half. And as always, calculation may be totally avoided by checking the web sites. The finished image is posted 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> After a torrential thunder-storm yesterday, which flooded the basement of the local city hall, today was much calmer here at Fractal Central, with partly cloudy skies and a temperature of 81F 27C. The three fractal cats, (Nicholas and Jasmine have been joined by a four-month-old kitten probably named Lida.), spent most of the afternoon resting after spending the morning becoming more familiar with one another. The next FOTD will be posted in due time. Until the time is due, take care, and why can't I shake the nagging impression that the U.S. government itself is responsible for much of the continuing unrest in the world, especially the Middle East? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Rectangle's_Cousin { ; time=0:00:35.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=JuliaN passes=1 center-mag=+0.00010247/+0.064913191/1380 params=2.002/0/0/0/-1.746294/0 float=y maxiter=320 inside=0 logmap=64 periodicity=0 colors=000JSPIRPHQPGPPGOPGNRGMSFLSEKSDJOCIJAHG9GE8\ FC6EA5D84C62B41A2091080070060050040030020010000000\ 000000000000000000x7AqA9m68h38c47Z46U56P55K54F54A4\ 3622502301100JhzF_mBRc7IU39KjjJffHccG``FYYDVVCSSBP\ PALL8II7FF6CC5993662331NXSJSOGNKDIG9EC698344wU`sSY\ oQWkOUhMRdKP`INXGKUFIQDGMBDI9BF79B56734312dA2a91_8\ 1Y81W71U71S61P61N51L51J40H40F30C30A20820610410200K\ cVI_SGXPFUNDQKBNIAKF8GC6DA5A7365132RJbKETD9J649KEd\ _g1Xd0Va0SZ0QW0OT0LQ0JN0GK0EH0CE09B0780450220AlD9i\ C9gB8dB8bA7_97Y96V86T75Q75O64M54J53H43E32C32921711\ 41020Ep9Dm8Ck8Ci7Bg7Bd7Ab69`69Z68X58U57S47Q46O45M3\ 5J34H34F23D2gtjdpiami_jiXfhUchS`hPXgMUgKRgPX`UaVZg\ OclIhrBmw5`n3Oe1CY0BW0AU0AS09R09P08N07M07K06I06H05\ F04D04B00133A03802601501300107tV5jP4aK3SF2JA1952wJ\ 1qH1kF00D01B029037045053061ymCpeAgZ8ZS6QL5HE3871ey\ __qVViRQaMLVIFNDAF9574Rue } frm:JuliaN {; Jim Muth b=p1, z=p2+pixel, c=p3: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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[ Multifractal Images
by Albrecht Niekamp 23 Aug '14

23 Aug '14

HI, a friend asked for published MFR images and when I had to tell him that all links are deleted because my Dropbox account as ended he replied that it´s a pity because all images are lost now. So I revalidated the account and decided to publish the complete collection. Here it is. The Link opens a site with all images and some of my music as well. This time it will remain. Hope you like the idea, fedback is welcome of course and tell me if you have difficulties to open it. ; https://www.dropbox.com/sh/zx1sjqtln4vtovk/AABAhwj_Ovy2WCAnFejh_9bOa?dl=0 ; Cheers, Albrecht --- Diese E-Mail ist frei von Viren und Malware, denn der avast! Antivirus Schutz ist aktiv. http://www.avast.com

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Multifractal Images
by Albrechtx 22 Aug '14

22 Aug '14

HI, A friend asked for published MFR images and I had to reply that all links are deleted because my Dropbox account has ended. When he replied that it´s pity as they are lost now, I renewed the account and decided to publish the complete collection. So here it is. The link displays a site with all images and some of my music as well. This time it will remain. Hope you like it. Feedback is welcome of course and tell me if you have difficulties to open it- ; https://www.dropbox.com/sh/zx1sjqtln4vtovk/AABAhwj_Ovy2WCAnFejh_9bOa?dl=0 ; Cheers, Abrecht

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FOTD 19-08-14 (1.4142 Minibrot [A-8,M-5])
by Jim Muth 20 Aug '14

20 Aug '14

FOTD -- August 19, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: The name of today's FOTD, "1.4142_Minibrot", says it all. The image is a view of a minibrot in the Z^(sqrt(2))+C Mandeloid as it appears at a level of 1.373 turns up the hyperspiral. At this not very lofty height the parent fractal resembles nothing as much as a lima bean with a short filament extending southwest and a long but disconnected filament extending north. Today's scene is located in the East Valley of a larger minibrot on the northern filament. Actually the hyperspiral does not produce an infinite variety of fractals, but is a loop of 4.4428828..., at which point the fractal returns to the one that exists at the zero level and starts the cycle over. The art rates an honest 8. I spent near a half hour on the colors. With a rating of 5, the math falls short however. The math is now old stuff. The calculation time of 1-1/2 minutes is fast enough to avoid impatience, and slow enough to enjoy the unfolding of the scene. And as always, instant relief is available on the web sites. 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 weather was perfectly average here at FC today, with hazy sun and a temperature of 81F 27C. The fractal cats agreed. The humans also agreed. Until the next FOTD appears in a day or two or three, take care, and wonder what it's all about. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= 1.4142_Minibrot { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutSqrt center-mag=-0.8578916604\ 056522/+2.65631676384417/1.102536e+010/1/117.5/0 params=1.373/0 float=y maxiter=1500 inside=0 logmap=248 periodicity=6 mathtolerance=0.05/1 colors=00000000000001002003004548A7CFAGKDJPGNUKRZN\ UcQYhTamWdr_hvclzhozmszrwzwzzrrzmjvhcreWmcOhaHc_9Z\ Y2MV5PT7OR9NPBMPDLPFKUHJUJIULHUNGZPFZREcLIcGMcAQf5\ Uc0Ye5UcAQcFPcKUcPZcUccZhZcmVgrPejKbbF_WAXO5UG0R9W\ 7t`GueOvjWwodxtlyxtypnehhMac2_bGYbUWbfZ_gaXhdUifRi\ iOjlLknJkgImaInWIoPHpJHqDHrBHn9Hj7Hf5Hc3H_1HW0HTFZ\ WTpYVVQXAJ_EHbHFeLDhPBjS9pQJuPTzOae`LfYPfVTfSXfP`f\ NddMYbLR`LLZVEYa8PmWZUy`ZobfedhXfjNzzzmmFflGfmGelH\ elHdlIdlIcmMcnPcoSbpWbqZbrabrdgibl`aqT`vK_zCZwDdtD\ iqEonEtkEyeKs_QmUWgOabIgXCmR6sL1xG7vQCuZIthNsqCiBP\ Y9aN7nC5_TMMibPfYRcUT`QVYMYVH_SDaP9cN5arsZVqX7oRGn\ MPnGYnBfn5on0wn7qiEkdKe`R_WXUSZQT`MTbIUdEUfAVh6Vi2\ VYHWMWXBjXIlSOnNVpI`qEgs9mu4sv0bkLN`d7Rx6Vr5Zm4ah3\ ec2iZ1lU6iTBfSGcRL`QQYPO_UNaZLccKegJglHiqGkvFmzHmu\ ImqJmlKmhLmdMm_NmWOmSbSfp6tD3Ofm0`n4Wo8RpCMqFGrJBs\ N6tR1uU3uR4uO6uL7uJ9uGOll } frm:BranchCutSqrt { ; Jim Muth Z=C=Pixel: Z=log(Z), Z=exp(1.414213562373*(Z+flip(real(p1))))+C, |Z|<36 } END PARAMETER FILE=========================================

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FOTD 18-08-14 (Blattaria Specimen [A-6,M-7])
by Jim Muth 19 Aug '14

19 Aug '14

FOTD -- August 18, 2014 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's image is named "Blattaria_Specimen", and the image certainly does resemble a specimen of the order. Actually, the image is a Julia set of the valley at the western extremity of the main bay of the Z^(1.05)+C Mandeloid as calculated at a tiny 0.024 turns up the complex logarithmic hyperspiral and a little into the imag(y) direction. The art rates a 6; we have been here several times before. The math rates a 7; we have been here before but not at this level of the hyperspiral. The calculation time of 1-1/2 minutes will pass in a semi-flash. The web sites will eliminate the flash. The finished image is available online 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> Perfect weather prevailed here at Fractal Central today. Perfection is described as blue skies decorated with puffy white clouds, low humidity, and a temperature of 79F 26C. The fractal cats had a mostly pleasant day, but did get into a tussle when Jasmine leaped from the couch onto Nicholas and caused his tail to puff up. The humans spent the day working. The next FOTD will be posted in a day or two or maybe three or four. Until whenever, take care and I have nothing to say about current events in Saint Louis except that I am disappointed that the same old problem still exists even 50 years after the Civil Rights Act was passed, and after 50 years of the best-intended efforts to eliminate discrimination and poverty, and finally achieve true equality. It is actually starting to appear, at least to me, that achieving equality might be a wishful myth. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Blattaria_Specimen { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenJul passes=1 center-mag=0.27373/0.0304405/1.025/1/-24.25/0 params=1.5/0.024/-0.18873/0.0144 float=y maxiter=1500 inside=0 logmap=4 periodicity=6 colors=0004YD4VC3RA3O92L72I62F52C72A927B25C38H3BM3\ DR3GV3I_3Ld3NhCOeKPcTQ``RZhSXcQVZOTVNRQLPLJOHIMCGK\ 7EI3DH9FPFGWLHbQEWUCQY9Ja7De46i20lPBnkLlgUjcai_igW\ qfSydVrcXlaZf`a_ZcUYeOWhHVjBUl5Sk8RkBPkEOkHNkKLkNK\ kQJkTIhVHfWGdYFbZE__DYaCWbBUcASe9Pf8Ng7Li6Jj5Hk9Ii\ DIhHIgLIePIdTJcXJa`J`dJ_hJZiI`iHbiGdiFfiEhiDjiCliB\ niApiArl8po7oq6nmAmiEmfImbLm_PmWTlSXlP_lLclIglEkkA\ nk7rk3vk0ykKcOcI0`G8YEGWCOTBVQ9bO7jL5rJ4yJ5tJ6pJ6l\ J7hJ7dJ8`J8WJ9SJ9OJAKJAGJBCJB8AQiKWdTa_bgVkmQtsMso\ NslOrhPreQqaQqZRpWSpSToPUoLUnIVnEWmBXm8XlCUlFSlJPl\ MNkQLkTIkXGk_EjZHjZKjZMiYPiYSiYUiYXhX_hXahXdhXggWi\ gWlgWogWqeYjc_da`Z_bTYdMWeGUgASh4Um5Tj7Sh8Re9QcAP`\ BOZCNWDMUELRFKPGJMHJKIp8yn9wm9ukAsjAqiBpgBnfCleCjc\ DibDgaEe_EcZFbXF`WGZVGXTHWSHURISPIQOJPNJNLKLKKJeUT\ dTScTScTSbTRbSRaSRaSR`SQ`RQ_RQZRQZRPYQPYQPXQPXQOWP\ OWPO7sN6pL6mK6jJ5fH5cG4`E } frm:BranchCutGenJul { ; Jim Muth Z=Pixel, C=p2: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 14-08-14 (Rectangular Break-Up [A-6,M-7])
by Jim Muth 16 Aug '14

16 Aug '14

FOTD -- August 14, 2014 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's image is titled "Rectangle Break-Up" because that's exactly what it is. Like the previous image, it shows one of the strange rectangles in the Julia aspect of the Z^(2.003)+C Julibrot in a state of partial disintegration. The art rates a 6, the math, a 7. The calculation time of one measly minute will cause no impatience. And as always, the web sites can eliminate calculation completely. I'll continue exploring different aspects of the rectangle in the next few FOTD's. Then we'll move on to new and hopefully greater fractal things. Check the 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> Near perfect weather prevailed here at Fractal Central today, with a mix of sun and clouds, low humidity, refreshing breezes and a temperature of 77F 25C. Both the cats and the humans enjoyed the fine day. The next FOTD will be posted in a day or two. Until then, take care, and people will never learn to get along together until they are willing to hear and understand the views and problems of the other side. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Rectangle_Break-Up { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=branchcutgenjul passes=1 float=y center-mag=+0.00005839296655972/+0.073886902604897\ 41/267/1/4.25/0 params=2.003/6e-005/-1.7435/0.00024 maxiter=4200 inside=255 logmap=80 periodicity=6 colors=000potqlx<2>ncrmapm`n<7>hO`gMZfKY<3>dER<3>`\ BY_A_ZAaY9cY9d<3>k5Pn4Lq3Ht2D<3>h56f54c63<2>V70T80\ Q70<3>F40G30H20<3>J00J00K00L00L00M01M02<3>P66P77Q8\ 8<2>RBBRCCQDD<3>PHHPJIo`z<3>sWztVztUz<3>razrczqez<\ 2>pkzpzz<2>ozzzzz<21>zzz<4>zzz000<126>000 } frm:BranchCutGenJul { ; Jim Muth Z=Pixel, C=p2: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 13-08-14 (Rectangular Regress [A-5,M-8])
by Jim Muth 13 Aug '14

13 Aug '14

FOTD -- August 13, 2014 (Rating A-5,M-8) Fractal visionaries and enthusiasts: Today's formula is another new one: ------------------------------------------------ BranchCutGenJul { ; Jim Muth Z=Pixel, C=p2: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<100 } ------------------------------------------------ The formula is a Julia version of the 'BranchCutGen' formula. The image shows a variation of our old friend, the strange open rectangle in the Julia sets of the Z^(2.003)+C Mandeloid. The rectangle itself, distorted and partly filled in, fills the entire screen. The name "Rectangle Regress" refers to the infinite regress in the image. Such regress is quite common in fractals, and in today's image appears as the smaller rectangle just northeast of the center of the large rectangle. This smaller rectangle is an exact copy of the larger rectangle, and has an identical but even smaller rectangle near its center. The process continues to the limit of resolution. The art rates an average everyday 5. The math rates a slightly liberal 8 because of the regress and also because of the new formula, The calculation time of one minute should cause no problems, but the web sites are always there to eliminate the calculation hassle. The image has been calculated and posted to 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> After 3 inches, 7-1/2cm, of rain yesterday, today was a great improvement. The partly cloudy skies and temperature of 79F 26C were just what the doctor ordered. The conditions must have been just what the fractal cats' doctor ordered also. They spent most of the day at the windows watching the birds and the occasional passing squirrel, while the humans watched the work. The next FOTD will be posted within a reasonable time. Until reason prevails, take care, and the less the entropy the better the situation. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Rectangle_Regress { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGenJul center-mag=+0.00122607\ /+0.07382828/260/1/-23.75/0 params=2.003/0.0001/\ -1.7435/0.0001 float=y maxiter=1500 inside=0 logmap=79 periodicity=6 colors=000d_WbaY`c_ZeaXgcVieTkgRmiPokIrkOplUnlZlld\ jmihmofmtdmthjtlhtpftsdnm_igVdaQ_WLUQGPKBKE6F81A92\ A93A94A95A96A97A98AA9AAAAABAABAACAADAAEABFABGABHAB\ IABJABKJ7NXBKiEHvHEnGMgGUbE_`G`ZIaXKbWMcUOdSPdQReP\ TfNVgLXhKZiI_iGajEckDelBgm9in6no8jn9gmAclB`lCXkDUj\ EQjFNiGJhGFiHGhIHhJIgKIgKJgLKfMKfNLfOMeONePNdQOdRP\ dSPcSQcTRcUSbVSbWTaWUaXUaYV`ZW``XbZW`YVZWUXVUVUTTS\ SRRSPQRNOQLNPJMPHKOFJNDFMBINBKOBMPBOPBQQBSRBURBWSB\ ZTB`UBbUBdVBfWBhWBjXBlYBnYBmYDmYEmYGmYHmYIlYKlYLlY\ MlYOlYPlYQkYSkYTkYUkYWkYXj__kYYkWWlUUlSSlQRmOPmMNn\ KLnIJnGIoEGoCEpACp8Ap69o9AnBAmDBmFBlHBkJCkLCjNDiPD\ iRDhTEgVEfXFfZFe`FdbGddGcfHbhHbjHalI`nIasF`pI`mK`j\ M`gO`dQ_aS_ZU_XW_UZ_R`ZObZLdZIfZFhZCj`BkZAlXAlWAlU\ AlSAlRAlP9lO9lM9lK9lJ9lH9lG8lE8lC8lB8l98l83o88l8Ci\ 8Hf8Lc8Q`4WX8UZCS`FQaJOcMMeQLfTJhXHi`FkcDmgCnjApn8\ rOlZZwIVjQRYYOLdUQa_VZfYU } frm:BranchCutGenJul { ; Jim Muth Z=Pixel, C=p2: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 11-08-14 (Golden Perfection [A-7,M-8])
by Jim Muth 12 Aug '14

12 Aug '14

FOTD -- August 11, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Start with the number 5, extract the square root, add 1 and divide the sum by 2. The result is 1.618034... the Golden Ratio. This number is also the exponent of Z in today's image, which is why I named it "Golden Perfection". To add to the interest, I calculated Z^(1.618034)+C one level up the complex logarithmic hyperspiral. At this not-so-lofty level, the parent fractal resembles a twisted Mandelbrot set rotated so that East Valley faces southwest and the large main-stem bud faces northwest. Today's scene lies on what should be the northern shore line of East Valley. The art rates a 7, since I really could have done a little more with the colors. The math rates an 8. This minibrot is one of the most symmetrical I have yet found in the fractal exponent range between one and two. The calculation time is 3-1/3 minutes, a time that could breed impatience. But this time may be saved by checking the FOTD web sites. Be sure to visit 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> Morning and early afternoon were perfect today here at Fractal Central, with sunny skies, puffy clouds and a temperature of 82F 28C. But later in the afternoon, heavier clouds moved in, with rain expected tomorrow. The fractal cats, who expect nothing more than play and food, were unconcerned with the coming rain. The humans, who will be working inside tomorrow, had equally little concern. The next FOTD will be posted in the appropriate time, whenever this might be. Until then, take care, and if religion is doing its job, why is the number one question of life, 'what happens to us after we die?' Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Golden_Perfection { ; time=0:03:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGen passes=1 periodicity=6 center-mag=-0.1804690692893928/-0.1268348854197519\ /7.09888e+011/1/-152.5/0 params=1.618034/1 inside=0 maxiter=3600 float=y logmap=428 mathtolerance=.05/1 colors=0008ZI9_G9`ECZFEXGGVHITIKRJMQJMUNMXRM_UMbYM\ eaMhdOfcPecQdbRbbTaaU`aVZ`WY`YX_ZV__UZ`TZbRYcQYdPX\ eOX_QWUSVPUVJWUEXULQPSJLZDHe6Dl09p4Fs7LvARh8KV7EH6\ 8452861C71G81J81N91RA1VB1YB1aC1eD1hD1gF6fGBfHFeIKe\ JOfHPhEPjCQkAQOMK0YE2WC4VB6UA8S8AR7CQ6EP5GN3IM2KL1\ MK0LKRKKpsCVnCCgAFa8IV6LP5OI3RC1U60W93UB5SD7RGAPIC\ NKEMNHKPJJRLHUOFWQEYSC`VAbX9dZ7f`6db8bcA`eBZfDXhEV\ iGTkHRlJPmLNoMLpOJrPHsRFuSDvUBwVEnWGeXJXYLOZNFZRGY\ VGXZGWbGVfGUjGTnGSrGRsJStMStOSuRTuUTvWTvZUwaUwcUxf\ VxiVykVynWzqWzsWjlgVfsUhdS_ePRfNIgL9hJAcIB_GCWFDRD\ ENCFJBGFJCDR9BZ69e37h8GkCPnGYqLftPovTxkWv`ZtQarmmW\ zzDvu0qt4ms8irBeqF`pJXoMTnQPnTekrcgzfhzikzlnzbkz`x\ z_zzZzzYzzYwzYtzYpzYmzYizYfzYczcnzcrzcrzcmzcmzchzc\ hzchzMmzKmzJmzcmzcmzcmzcmzcmzcuzcuzcuzmuzmzzmzzmzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:BranchCutGen { ; Jim Muth Z=C=Pixel: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 10-08-14 (Miracle Fractal [A-8,M-8])
by Jim Muth 11 Aug '14

11 Aug '14

FOTD -- August 10, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's image is named "Miracle Fractal". The miracle is that, with an exponent of Z of 1.05, it exists at all, and also that I was able to find it. The parent fractal resembles an indian arrowhead, with small areas of chaos scattered along the edges. Today's image is located deep in one of these apparently barren areas of chaos on the northern edge of the large main open area. Both the art and math rate an 8. The extra coloring effort earns the art rating. The unlikeliness of finding a minibrot at all in the parent fractal makes the math also worth an 8. The calculation time of 7-1/4 minutes is a drag, but help is available at the web sites. For convenience, the image has been calculated and posted to: <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> Near perfect weather prevailed here at Fractal Central today. The sunny skies, temperature of 84F 29C, low humidity and gentle breezes made both the fractal cats and people happy. Fractal cat Jasmine, who has her one-year birthday in ten days, was especially frisky. When she jupmed from the couch onto Nico, he gave her a resounding hiss. The next FOTD will be posted when it is ready. The FOTD's have been coming slower lately, but at least IMO, they are better. Until everything is ready, take care, and make progress. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Miracle_Fractal { ; time=0:07:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGen passes=1 center-mag=+0.01983111086924904/+1.915834481164043\ /5.107806e+011/1/125/0 params=1.05/1.5 float=y maxiter=3600 inside=0 logmap=-1032 periodicity=6 mathtolerance=0.05/1 colors=00000G50W60S60S50X40S70P90MB0JE0GH0EF0BD08C\ 05O02I00F0NL0IU0RE6_H0`U0fU0dL0bT0aM0_F0Y80W20VIKa\ XVhkeortzluzKpzEcmE`jEYgEVfDReDOdDLcDIbCFbCC_CAWC8\ SJAPPRTV`ZaedgjjprszzzKosFkpAfn5bk0Yh0Uf3Xh6Zj9`kC\ cmFeoIgpLkrPntUquYuwaxybzzawwatuaqr`op`jn`fk_ci__f\ _Wd_XbRafIdj9gn0ir3gp6en9clCajF_hIYfKWeNUcQSaTQ_WO\ YZMW`KV8_cBXdDUeFReHOfJLfLIgNFhPChR9iT6iV3jX1jY4fY\ 7cZA_ZCXZFU_IQ_KN`NJ`QG`SDaV9aY6a_3`Z6`Y8`XA`WC`VF\ `UH_TJ_SL_RO_QQ_PS_OU_NWZMXYMXYLXXLYWKYWKYVJYUJZUI\ ZTIZSH_SH_RG_RU_TUaUUcWUeXYgZYh_Yj`Ylbcnccpecqfcsh\ cuicwjcxfcvbmuZmsVmrRmqUmmXmi_mebmaeeYhfVkhRnjNqkJ\ tmFwnCpmBimAbm9Xm9Qm8Jm7Dm7GmAJmDMmGPmJSmMVmPYmS`m\ UcmXfm_imblmeomhrmkumnwmpummtmjrmgqmdomanm_mmXkmUj\ mRhmOgzLfzJgzJgzJhzJizJjzJjzJkzJlzJmzJmzJlzOkzSjzW\ iz_hzcgzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:BranchCutGen { ; Jim Muth Z=C=Pixel: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<100 } END PARAMETER FILE=========================================

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FOTD 07-08-14 (The FMOD Cycle [A-7,M-8])
by Jim Muth 08 Aug '14

08 Aug '14

FOTD -- August 07, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: NEW FORMULA!! Today's formula is another new one. Forget about the ersatz 'new' formula posted on August 4th, which has already been discarded. ------------------------------------------------------------- BranchCutGen { ; Jim Muth Z=C=Pixel: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<36 } ------------------------------------------------------------- Given impetus by Hal Lane, I decided to see how much I could simplify the BC formulas and still get the same fractals. Today's formula is about as far as I could take the process. When I analyzed the old formulas, I was surprised at how many terms simply canceled out or had no effect. Today's new formula is the result. The by-product is a 33-percent increase in speed. I named today's image "The FMOD Cycle" mostly because the image was rendered with the inside set to 'FMOD'. The cycle part of the name refers to the complex logarithmic hyperspiral of the Z^sqrt(2)+C fractal, which, starting at zero, repeats every 4.442... levels. Today's image is located 2.221... levels up the hyperspiral, which is exactly halfway back to the starting point and produces a parent fractal with X-axis symmetry. The art worth of the image impresses me as a 7; the math rates an 8, which is perhaps overblown. After all, the basic math is old stuff. Only the streamlined formula is new. Today's image is the actual parent fractal, made somewhat unrecognizable by the 'FMOD' inside fill. This is why it calculates in a matter of 22 seconds. If this is still too slow, the web sites can make things a bit speedier. Check 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> A mix of puffy clouds and blue sky, a temperature of 79F 26C, a passing afternoon shower, refreshing low humidity, and a gentle north wind made today a day worth waiting for here at Fractal Central. The fractal cats missed much of the day when they slept all afternoon. The fractal humans had an uneventful though busy day. The next FOTD will be posted in the appropriate time. Until whenever this might be, take care, and the governments tell the people what they can and cannot do, the big corporations tell the governments what to order the people to do, but who tells the big corporations what to tell the governments to order? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_FMOD_Cycle { ; time=0:00:22.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=BranchCutGen center-mag=-0.0840312/0/\ 0.778816/1/0 params=1.414213562373/2.22144146907933 inside=fmod float=y maxiter=1500 symmetry=xaxis proximity=0.049 periodicity=6 colors=000MCcLCbKBaKB`KB`JB_JBZJAZIAYIAYIAXHAWH9WH\ 9VG9UG9UG9TF8TF8SF8RE8RE8QE8QD7PD7OD7OC7NC7MC6MB6L\ B6LB6KA6JA5JA5I95H95H95G84G84F84E74E74D74D63C63B63\ B53A5395294284284273263163152142142131031021010010\ 00cGFbFEaFE`ED_EDZEDYDCXDCWDCVCBUCBTBBSBARBAQAAQA9\ PA9O99N98M88L88K87J77I76H76G66F65E55D55D54C44B44A4\ 3933833722622522411311211100000ol5mj4li4jg4if4ge4f\ c4db4f`ngangbngcngdngengfnggnghnhinhjnhknhlnhmnhnn\ honhpniqnirnisnitniunivniwnixngvlftkericqhcpgbofam\ e_kcZjbYh`Wf_VdYUcXSaWR_UQYTOXRNVQMTOLRNJQLIOKHMIF\ KHEJGDHEBFDADB9CA7A8687565354232111shJqfIoeHndHlcG\ kaGi`Fh_FfZEeXEcWDaVD`UCZSCYRBWQBVPATNASM9QL8OK8NI\ 7LH7KG6IF6HD5FC5EB4CA4A83973762652431321110kyYiwXh\ vWgtVfsUerUdpTcoSbmRalR`kQ_iPZhOYgOXeNWdMUbLTaLS`K\ RZJQYIPXIOVHNUGMSFLRFKQEJODINCHMCGKBEJADH9CG9BF8AD\ 79C68B6795684563453342221 } frm:BranchCutGen { ; Jim Muth Z=C=Pixel: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<36 } END PARAMETER FILE=========================================

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FOTD 04-08-14 (Squarely Rooted [A-8,M-5])
by Jim Muth 05 Aug '14

05 Aug '14

FOTD -- August 04, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! ----------------------------------------------------- MandelbrotSqrt2BC { ; by several Fractint users p=p1, q=2*PI*(p/(2*PI)), r=p1-q, Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(1.414213562373*(Z+flip(q)))+C |Z|<36 } ----------------------------------------------------- Today's formula is a new one, an addition to the 'BC'or 'branch-cut' group of formulas, which are supposed to draw the other fractals resulting from the multi-valued nature of the complex logarithm. Since Z^(sqrt(2)) is the exponent I use most frequently, I have simplified the formula, and in doing so, I have also speeded up the calculation a little. But even from the beginning, the math of the 'BC' formulas has been questionable. The formula for the complex logarithm as listed in the second edition of "Fractal Creations" is . . . (1/2)In(x^2+y^2)+i(arctan(y/x)+2kPI where k can be any real positive or negative integer. The value I have entered for 'k' in today's image, -9.42477, shows the math flaw, since it is not an integer, but despite the flawed math, this fractional value still creates a fractal. (I'll not even try to guess what errors might be created by the spurious trig functions that I sometimes use.) The parent fractal of today's image is a chaotic indescribable thing with a long zig-zagging filament extending from its northeast side. Today's scene lies in the 'East Valley' area of a tiny minibrot on this filament. I named the image "Squarely Rooted" because the exponent of Z is the square root of 2. The artistic aspect is a little better than most recent images and rates an honest 8. Except for the new formula, I could find nothing new in the math, which rates a boringly average 5. The calculation wait of 3-5/6 minutes may be avoided by checking the web sites. 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> Today brought a mix of clouds and sun, and a temperature of 81F 27C to Fractal Central, the historic center of fractal activity. After a relaxing week-end, the fractal humans got back to work; after a relaxing week-end, the fractal cats continued relaxing. The next FOTD will be posted in a day or two, or maybe three. Until whenever, take care, and when watching the media news, try to separate the propaganda from the facts. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Squarely_Rooted { ; time=0:03:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotSqrt2BC passes=1 center-mag=+1.381338385604301/+0.8059894596556334/\ 6.963546e+011/1/-50/0 params=-9.42477/0 float=y maxiter=1800 inside=0 logmap=441 periodicity=6 mathtolerance=0.05/1 colors=00000B01D02F03H04J05L06N17P28R39T4AV5AX6AZ7\ A`8Ab8Ad8Ae7Af7Ag7Ah7AiAAjCBkFDlHGmKInMKoOMpRPqTRr\ WTsYVs_Yrb_rdbrgerihrkkrnmvpozsqzutzwwzvzzuzztzztz\ zszzrzzrvvqsrppmpmhomcnlbnlamk_lkZljYkjXjiVjiUihTh\ hRhgQggPVkfYlg`mibnjakiahhaehabga_faYfaVeaSdaPdaMc\ aIbaFbYDWVBQRAKO4EK08H02GALFMcEXvUbuhguwluxmnymgwk\ euictharf_pdYocWmaUk_SjZQhXOfVMeUKcSIaQG`PEbODcNCd\ MBeLBfKAgK9hJ9iI8jH7kG7lG6mF5nE5oD4pC3qC3YU4eT3mS1\ tR0uK7uEEv8Lv2SlAVcHYVO`MVcDaf4hi6kb8nX9pRBsLDvFEx\ 9CuJBsS9p`8niCheGbbKX_NRXRLUVFRZ9Oa4Li9AqE0sAGu7Wv\ 4kuGktSksckrokqzkoxdmwZkuTitNhsHloFplEtiCxfBtdCqbD\ m`EjZEfUFcPG_KHXFH_AMaEQc7UJ8ZK8WF8JB86hbulUqpKltc\ hw2dmcKtKjsSmq`pphsoqvnyykuqizjgUcdnWboP`pIUqGNrFG\ sE9hD3uC9vHEwMKxRPyWUz_TzcTzfzzjzzmzzpzztzzwzzzzzr\ zzkzzczzXzzQzzIzzBzz4zz3zz2zz2zz1zz0zz0zzBzzHzzNzz\ TzzYzzczzizznzzjzzgzzdzza } frm:MandelbrotSqrt2BC { ; by several Fractint users p=p1, q=2*PI*(p/(2*PI)), r=p1-q, Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(1.414213562373*(Z+flip(q)))+C |Z|<36 } END PARAMETER FILE=========================================

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Fwd: Fractint, and Satan Fractal
by Rick Ostidich 04 Aug '14

04 Aug '14

Friends! I forward here the mail I sent yesterday to mr. Tim Wegner, as he suggested me to do. It's about the fractal program Satan.exe, that I just published as free-ware. Have fun you all! -------- Good morning, mister Tim! This is Rick Ostidich, a computer programmer (machine language only!) from Italy. (I'm the author of the image viewer Ombra.exe for Dos, you probably remember about it!) I'm happily using Fractint since 1995 (I still have release 19.2), and today for the first time I searched the Web for FractInt - it's great to see you're still on business! The story is: one day, in 2003, I was playing with your "formula editor", and discovered a very interesting combination (sqrt+cosx), from which I created hundreds of beautiful and funny images. I named that formula "Satan", because there are a lot of evil monsters in it! (Mathematically speaking.) ;] Then, on 2006, I wrote the simple program Satan.exe that lets you use your mouse to zoom and move (in 4-dimensions) in real-time within the fractal landscape, and render any image to disk bitmaps, in whatever resolution. I also added some other features, and wrote a long documentation. Soon after that, I moved to other projects, and I left the program unpublished. (Though, in all of these years, I use it a lot every month, and always discover new stuff.) Few days ago I finally decided to publish it, as I should do with a lot of other programs of mine. Of course it's all released as free-ware, with no limitation. I don't want to make any money out of it. I got money. And also got admiration. (quote) ;] What I want is that other people enjoy the work that I've done for myself, and for the Science. So, last Friday, I created the facebook page "Satan fractal" (http://www.facebook.com/SatanFractal) where I posted 200 example pictures, and I've put a link to directly download the program from my personal site. (I'm building my site right now, but the Satan052.zip is already available in there.) The .zip file includes the program, the documentation, and 1'183 (!) images ready to render. All in a single Zip of 355 kilobytes ;] In that documentation I wrote a lot about FractInt, giving all the credits and thanks that you deserve. Currently, I'm not trying in any way to advertise my program - I didn't even ask my facebook friends to click 'like' on its page. But probably, it could deserve some attention from other fractal enthusiasts. At the times of my Ombra.exe (1995, too) it was easy: I just uploaded the program to x2ftp.oulu.fi, and that was all. This meant thousands of downloads every week, and even a letter from NASA that asked me permission to use Ombra for their activities. 8] Nowadays I don't even know where and how one should publish his/her works. I spend too much time in programming or going out for fun, and too little time is left for navigating the web. ;] Whom should I speak with, about this work that I've done? The first thing that came to my mind was "Fractint people"! So, here is this long email. (Sorry!) ;] In short: take a look at it, if you have the time and the will to do so. And, possibly, tell your friends you've found something new, and free! Thanks again, to you and to everyone at Stone Soup Group, and have a nice day! *Rick Ostidich*

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Many new December, 2013 images on my site.
by Hal Lane 04 Aug '14

04 Aug '14

I've uploaded and added links for my variations on Jim's FOTDs for approximately the last half of December, 2013. I only have three days of images remaining to anti-alias, upload and put links to on my December page, and I'll be completely caught up! Again, thanks for navigating through my home page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html As always, be sure to view the images full size. Otherwise, your browser will resample the images. On many of the GIFs, single pixels can disappear or be greatly dimmed if your browser resamples the images. The effects of resampling are not quite as stark on the JPG images, but it still compromises the quality I work to create. Comments welcome. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 01-08-14 (An Ocean View [A-7,M-7])
by Jim Muth 02 Aug '14

02 Aug '14

FOTD -- August 01, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's scene lies in the same parent fractal as the previous two FOTD images. It is located in a fractured spiral on the main bay side of the northwest branch of the valley serving as the gateway to the squashed bug's head. The view to the east from this point is water all the way to the horizon, which is why I named the image "An Ocean View". The spiralling energies in the area are apparent, though with the fractional exponent of Z, which is 1.75, these arms are well broken up. In my opinion, both the art and math aspects of the image rate a 7 -- good enough to earn FOTD status but not enough for the cigar. The calculation time of 6 minutes definitely drags, but calculation may be avoided by checking the web sites. For convenience, the image has been calculated and posted to: <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 mix of clouds and sun and a temperature of 84F 29C kept today on the pleasant side here at Fractal Central. The next FOTD will be posted in about two days. Until then, take care and beware. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= An_Ocean_View { ; time=0:06:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.7147163078573494/-0.2245693444358739\ /2.857437e+009/1/-67.5/0 params=1.75/0/7/0 float=y maxiter=2700 inside=0 logmap=670 periodicity=6 colors=000mRYmTYmUZmVZmU_mT_mS`mR`mQ`mPamPamOamNbm\ MbmLcmKclJckJdjIdiHdhGehFegEffDfeDfdCgcBgbAga9h`8h\ `8h_AeZBbZC_YDXYFVXGSXHPWIMWKKVLHVMEUNBUO9TPATQBTQ\ CTRDTRDTSETTFSTGSUGSUHSVISVJSWKSXKSXLRYMRYNRZNR_OR\ _PR`QR`RRaRQaSQbTQcUQcUQdVQdWQeXQeXPcWObVNaVM_ULZU\ LYTKXTJVSIURHTRGSQGQQFPPEOPDNOCLNBKNBJMAHM9GL8FL7E\ K6CJ6BJ5AI49I37H26H15G14G35H46H57H68HB9HFAIKBKQAUY\ AcaAmcAucAqaAtZArXApUAnSBlPDjMFhKIfHKdFMbCO`9QZ7SX\ 4UV2WT6aQ9gNDmKGsIIpKJnMLlOMjQNhSPfTQdVRaXT_ZUY`VW\ bXUcYSeZQg`OiaLkbJmdHneFpfDrhBti9vj7wlDrnJnpOjrUfs\ ZbudZwiVyoRztNwsUtscrsmoszmszjszlwzwDVuDTtDRrDPqCM\ oCKnCIlCGkCEiBBhB9fB7eB5cB3bB1cA0U70K14R5DX8McCViF\ bdow_gxV_yQSzzrKzrNznPvkRthTqgVqgXqd`qacqZfqWjqTmq\ QpqNs_XpJemM`lPXlRTkUOkXKjZGjkFFjBDi8Bh49g17d76cD6\ cI5cO5mT5mZ4md4mi3mo3mt3ms6mszmszmszmszzszzszzszzs\ zzszzszzszzszzszzszzszztz } 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 31-07-14 (On the Other Side [A-7,M-5])
by Jim Muth 31 Jul '14

31 Jul '14

FOTD -- July 31, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's image lies in the same squashed-bug parent as yesterday's, but instead of being located in the bug's head, today's image lies in a valley of a large disconnected minibrot just northeast of the main body of the parent. This valley has two totally dis-similar sides, a peculiarity that is reflected in today's image with its large sinuous areas and contrasting smaller areas of angular chaos. The name "On the Other Side" refers to the location of the scene in the parent fractal. The art rating of a 7 shows that I consider today's image to be somewhat of an improvement over yesterday's, while the math rating of a 5 shows that the math trick is old hat. The calculation time of a dragging 4 minutes may be eliminated by checking the web sites. The finished image is posted 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 mix of clouds and sun with a temperature of 81F 27C made today another rather pleasant one here at Fractal Central. The fractal cats and humans had an uneventful afternoon, which was pleasant to experience but makes boring reading. The next FOTD will be posted sometime next month, maybe as soon as tomorrow. Until whenever, take care, and sometimes the losers of battles turn out to be winners. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= On_The_Other_Side { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+1.130133599894878/+0.5911035952324553/\ 9.316793e+008 params=1.75/0/7/0 float=y maxiter=1750 inside=0 logmap=-473 periodicity=6 colors=000A0WA1UA2SA3RA4PA5NA6M97K88I8AH9BMADQBFVC\ HZDIcEKgFMlGOpHQuIRyLVrOZkRbdUfYXjR_nKbrDev6hz0rzT\ nzVjmWfmXbmY_mZWc_Sc`OcaLcbVcTdcKmcBgcDbcFXcHScJMc\ LHSNBUP6WR8ZV9`YBcaCedDggFjkGlnIorJquKsxvI`zE_xDXw\ DVuDTtDRrDPqCMoCKnCIlCGkCEiBBhB9fB7eB5cB3bB1TG0KL0\ K14R5DX8McCViFbAKVBKWBKXBUYBUZBU_Cc`CcaCcbCccCrdDr\ eDrfDrgDrhDriT6IX78SFFOMLJTRF`XAgb6nh2un3mo4ep5Yp5\ Rq6Jq7Br74r97oBAlDDiFGfGNjGTmH_qHetHkwJ`iKQWLFIM55\ I67F68C7A97B68D38E08FAFGJLHTRHaXIjbIiaMh`Pg`Tf_WeZ\ ZdZbcYecYhhUflQdqMbmfhogmqhqsivtjzsevr`rqWnpRkoMgn\ HcnD`mD_lDZkCZjCY`fTahRbjPclNdnLepJfqHftELX9UA4KA7\ UBAKKDUBGKBJUCMcCPcCScCVcCYcD`cDccDfcDicDkcCpcEmcG\ jcIgcKdmMamOZmQWmSTmUQmVOmWNmWMzWLzXKzXKzXJzYIzYHz\ YGzZGzZFzZEz_Dz_Cz_Cz`HzaMzbQzcVzd_zeczCXzCXzCWzCV\ zBVzBUzBTzBTzBSzARzARzAQz`FzgCzoAzv8zkBzaDzRGzHIzK\ KzNMzQOzSQzVSzYUz`WzbXzdV } 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 30-07-14 (Countdown to Earth [A-6,M-6])
by Jim Muth 31 Jul '14

31 Jul '14

FOTD -- July 30, 2014 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's fractional-value minibrot scene lies in the parent fractal that results when the expression Z^(1.75)+C is iterated 7 levels up the complex logarithmic hyperspiral. This parent resembles nothing more than a squashed bug with its head facing southwest, but not wanting to turn off potential viewers, I named today's FOTD "Countdown to Earth", which has little if anything to do with the appearance of the image. The scene is located in a valley leading to a small bud on the southwest side of the bug's head. The math and art aspects both rate a 6. I could find nothing really new in the image. The calculation time of 3-1/4 minutes is rather slow. The web sites can speed up the viewing pleasure however. Check the finished image at the web sites without the inconvenience of calculating it. The web sites may be accessed 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 pleasant mix of sun amd clouds with an equally pleasant temperature of 77F 25C made today here at Fractal Central fit for a king. With no king in the vicinity, the day was enjoyed by the fractal cats and humans (cats always coming first, of course). The next FOTD will be posted in the appropriate time. Until then, take care, and live with honor but don't get preachy. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Countdown_to_Earth { ; time=0:12:03.87 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.952052728739694/-0.7263908032093859/\ 1319932/1/65/0 params=1.75/0/7/0 float=y maxiter=3600 inside=0 logmap=279 periodicity=6 colors=000C8ZD9ZEAZFBZGCZHDZIEZJFYKGYMIYOKYQMYSOYU\ QYWSYYUZ_W_aY`c_adabeccfegggmhirjkvlmznozpqzrszwuz\ wwzwtzwzzwzzzzzzzzzzzzzzzzzzzzzzzzzzVRYTQXROWQNVOM\ UMKTKJSJISKLVKNXKPZKRaKTcKVeKXgLWfMWeNWdOVdPVcQVbR\ UaSUaTU`UT_UT_VTZWSYXSXYSXZRW_RV`RUaQUbQTcQScQSdNT\ dLTeJUeHUfFUfCVgAVg8Wh6Wh4We5Ub5T_6RY6QV7OS7NP7LN6\ KK5IH5HE4FC4E93C63B33914838B4BD6EF7IH9LJAOLBRNDUPE\ WRGYTH_VIbXKeZLh`NkbOndPqfRthSwjUzlVznWzpSvhPraLmV\ IhOEhIBiDAkCAmCAoC9qC9sB9uB8wB8yB8zBBwAEtAHr9Jo9Ml\ 8Pj8Rg7Ue7Xb7Z_6ac6dh5fm5im4lm4nm4om4om4pm4qm5rm5s\ m6tm6zm7wb7ZX8S_8Jb9Fe9Ah9CfBFeCHdDKcENaFP`GS_HUZI\ XXJ_WKaVLdUMgSNiROlQPnPQiNPeLP`KPXIPTGPOFPKDPGCPHE\ OHGOHHNHJNIKNIMMINMIPMJRLJSLJUKJVKKXKKYJK_JK`J78HA\ IMCRRE_WGh`IqeKzjNzhPzfRzdUzcWzaYz_`zZbzXdzVfzUbzU\ ZzUWzUSzUPzUxznszlozkkzjgzhczg_zfWzdSzcOzbKz`_zoaz\ oczneznfzmhzmjzllzlnzkpzk } 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 25-07-14 (Peaches and Plums [A-7,M-2])
by Jim Muth 29 Jul '14

29 Jul '14

FOTD -- July 25, 2014 (Rating A-7,M-2) Fractal visionaries and enthusiasts: The low rating of the math part of today's image indicates that the expression Z^2+C, which creates the Mandelbrot set as well as today's image, is perhaps the oldest one in the fractal book. The scene lies in a minor valley of a small bud on the western edge of the large period-3 bud on the north shore of the main bay of the M-set. The name "Peaches and Plums" refers mostly to the peach-like colors of the circular basins surrounding the central minibrot. The calculation time of <30 seconds is true when the image is calculated with conventional math. Switching to arbitrary precision math produces an image with slightly better resolution, though instead of seconds, the calculation time will be hours. But as always, such monumental decisions may be avoided by viewing the finished image on the web sites. The finished image is posted online 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> Another picture-postcard-perfect day passed quietly here at Fractal Central today. The fractal cats fully enjoyed the temperature of 77F 25C, while the fractal humans enjoyed the photoshop blue skies and white cottonpuff cumulus clouds. The next FOTD will be posted before the world's oldest and most difficult question is answered. Until whenever, take care, and that question is why an all-good, all-powerful and all knowing god permits bad things to happen to good people.' Denying that God exists is an evasion of the question, not an answer. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Peaches_and_Plums { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 params=0/0 float=y center-mag=-0.2279009890028485/+0.745201931711522/\ 7.180087e+012/1/55/0 maxiter=50000 inside=0 logmap=7013 periodicity=6 mathtolerance=0.05/1 colors=000AAcAAcAAcAAbAAbAAaAAaAA`AA`AA_AA_AA_AAZA\ AZAAYAAYAAXAAXAAWAAWAAWAAVAAVAAUAAUAATAATAASAASAAT\ AASAASAASAASAASAASAARAARAARAARAARAARAARAAQAAQAAQAA\ QAAQAAQAAQAAPAAPA9PA9PA8PA8PA7PA7OA6OA6OA5OA5OA4OA\ 3PA4OA4NA5MA5LA5KA6JA6IA7IA7HA7GA8FA8EA9DA9CA9C9AL\ 9AK8BJ8BI7BH7CG6CF6DF5DE5DD4EC4EB3FA3F92D73F93GA3H\ B3JC3KD3LE4MF4OG4PH4QJ4RK4TL4UM5VN5WO5YP5ZQ5_R5`T5\ bU6cV6dW6eX6gY6hZ6i_6j`9i_Ch_Fg_IfZLeZOdZRcZZRc_Tc\ _Vc`Xc`_caacaccbecbgccjcclmdnmdpmixmdzmczzmzzmzzmz\ zmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzzwzzwzzwzzwzzw\ zzwzzwzzwzzmmzmmzmmzAczJczScz`Uz_Uz_TzZVzZXzYZzY`z\ XbzXdzWfzWhzgrzaizQczKczFczEczEczDKhDJeCHaCGYBFVBD\ RACNAAJ99G97C868544855A65C75E85G95JA5LB5NB5PC5RD5U\ E5WF5YG5_H5`I5aG3bI5cJ7dK9gMBfNDgOEhPGiRIjSKkTMlUN\ mWPnXRoYTp_Vq`XraYsb_tdauecvfewfgxgfygezgdzgdzgczh\ bzhbzhazh`zh`zh_ziZziYziY } END PARAMETER FILE=========================================

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FOTD 28-07-14 (The Blues on Parade [A-7,M-7])
by Jim Muth 29 Jul '14

29 Jul '14

FOTD -- July 28, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image lies at the northern edge of the parent fractal that results when 5.5 negative parts of Z^(-2.3) are combined with 1.6 negative parts of Z^(-6.1) and (1/C) is added on each iteration. This unlikely and admittedly whimsical combination produces a fractal that resembles a panda bear lying on its left side, with today's image located on the outer edge of its right ear. I named the image "The Blues on Parade" not because I am in a particularly depressed mood but because of the preponderance of blue shades in the scene. Most of the artistic effect was achieved by rendering the image with the 'tdis' outside option turned on, resulting in a rating of a 7. The math aspect also rates a 7 even though today's trick is over 12 years old. The magnitude of 7*(10^12) is somewhat beyond the limit of perfect resolution, but at least in my opinion, the slight breakdown actually improves the appearance. The image is a fast one, finishing in one minute or so on all but old leftover machines from the last century. Fractal fans with these technological anachronisms may enjoy the finished image on the FOTD web sites at: The glorious finished image is posted online 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 mix of clouds and sun, with a temperature of 77F 25C and a lively breeze from the west made today quite acceptable here at Fractal Central. The fractal cats enjoyed their comfort as they took turns sleeping and watching pigeons. The fractal people, with other things to do, had no time to sleep or watch pigeons. The next FOTD will be posted in the near future. Until that moment of awe and wonder arrives, take care, and the news of the world's events is less stressful to experience when one has a neutral standpoint. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheBlues_on_Parade { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.4271099920538436/+1.324255224834304/\ 7e+012/1/-60/0 params=-5.5/-2.3/-1.6/-6.1/0/0/0/0 float=y maxiter=500 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000zzzzz5zz5zz4zc4zz3zz3zz2zz2h`6h`AiaEiaIj\ aMjbQkbUkbYlcalcelcihZkeUmaPnZKpWGqYIiZKa_LU`NMaPE\ bQ6aS9aUCaWFaYH`_K`aN`cP`eS`gV_iY_k__mb_oe_qgYfeWW\ cUMaSB_Q1YoKKl9yi8xf7xc7x`6xY5wV5wS4wP4wQ5vR5vS6vS\ 6vT7vU7vU7vR8pP9jN9eKA_IBUGBPEASC9VA8Y87_66b45e24h\ 03j2Ci4Li5Ui6Tg7Se7Rc8Qa8P_9OYANWANUBMSBLQCKODJMDI\ KEHIEHHLEORCVY9`c7gj4mp2tv0zp9ykHyePy`XyZWuXWrVWoT\ WlRWiPWfOVbMV_KVXIVUGVREVODVLBRPAOT9LX8I`7Ed6Bh58l\ 45p32p8DmDNkIXiNfgOlUPrGQx3Qq6Qk9QdBQZE00H00J00M00\ P00R00N00J00F00B00A0000000051162273380090080070070\ 0700600600600A00D00G36K47N57Q68T68Z79c89h9Am9Ar9Cv\ 9CzEFzJIzOLzTOzYRzbUzgZzlczqhzvmzzrzxvzwzzvvzurztm\ zshvrcrqZmpXhoWcnU_mTWlSUkRSjQQiPPkWQmbRoiSqpTsvUq\ rSpoQolPniNmfMlcKj`JiYHhVGgSEfPDeMBdJAdIEdHIdHMdGQ\ dFUdFYdE`dEddDhdCldCpdBtdBwc9vc8uc7tc6tc5sc4rc3r_8\ lXDgUIbRNXOSSLXNIaHFfCCj7 } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 24-07-14 (Soft Landing [A-7,M-6])
by Jim Muth 25 Jul '14

25 Jul '14

FOTD -- July 24, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: After studying today's image for a few seconds, I decided that it appears to be filled with pillows. Maybe it is, maybe not, but whatever, I named it "Soft Landing". The generating expression mixes 0.125 part of Z^(-2.5) with Z^2 before adding (1/C) on each iteration. This combination produces an oversized Mandeloid that resembles nothing as much as a kidney bean or a peanut, with the East Valley on the west side and the small, almost invisible main spike pointing east. Today's scene lies on the north shore line of the 'east' valley. The art rates a 7. After all, I did put some extra effort into the coloring. The math rates only a 6. Today's math trick is over 10 years old. The calculation time of 4-3/4 minutes borders on slowness. To save time and effort, check the finished image on the FOTD web sites. The finished image is posted 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> Near perfect conditions prevailed here at Fractal Central today, with photoshop (aka kodachrome) blue skies, cotton-candy white clouds and a temperature of 77F 25C. Both the fractal cats and humans enjoyed the conditions as much as possible. The next FOTD will be posted soon. Until 'soon' arrives, take care, and be wise. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Soft_Landing { ; time=0:04:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-17.80110543551/+0.0751068472079/789855\ /1/25/0 params=1/2/0.125/-2.5/0/0/0/0 float=y maxiter=2250 inside=0 logmap=250 periodicity=6 colors=000ljAniDphGqgJsfMufPxeSzdVzcYzc_yfVtiRolMj\ oIgoEdmFajFZgFWcFU`GRXGOUGLQGJNHGJHDGHACH89HGCKNFN\ UIQ`LTgOWnRZuTasX`r`_pdZohYnlXlpWktVjxV_q`QkeThcke\ ECYnDapEerEhtFlvGpxGsyJtxLtxOtxQtxStwVtwXtwZtwatwc\ tvetvhtvjsvjqvgoudltahrYdmV`hRXcNTZKKU0AP0AK0AF65A\ 5055005005005A04EA4EK4FU4Gc4Gc3Jb3Lb3Nb2Pb2Rb2Tb1W\ b1Yb1_bBpuFqoIrjMrePs`StWWtRZuMauHenJhgKkaLnVMzwNz\ wPzwRzrTzoVzmXziZue`saarXVqSOpLIoEBo85FcDWBKXCKZDJ\ _FJaGIbHIdIHeJHgLGhMGjNFkOFmPEqP8nQEkQJhQPeQUbQ__Q\ dXQjUQoRQtTOoVNjXMeZLa`KXbISdHNfGJhFEjE9mC3kD5jD6i\ D7hD8gD9fEBeECdEDcEEbEFaFHzFI_FJZFKYFLaQVe`djmsijn\ hgihdega`fZWfWSeTNdQIdOEeSIeVMfYQfaTgdXgg`flagjchi\ ehgfifhjdijckkaml`nlZpmYqnWszXwnVtbUqRUnFUk4Ui6Ug8\ UeAUdCWbEYaG__IaYKcXMeVOgUQiSSkQUmPWoNYqI_sM`uPawS\ bxVczZdzaezdfzggzjhzlizmkznlzzmzznzzozzqzzszzuzzwz\ 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 21-07-14 (High-Order Hijinks [A-7,M-7])
by Jim Muth 22 Jul '14

22 Jul '14

FOTD -- July 21, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when a ridiculously tiny part of Z^(100) is subtracted from Z^(1.008) before straight (C) is added on each iteration. This parent appears as a large circle that lies mostly off the left edge of the screen, with a tiny mandel shaped object at its eastern edge. Today's scene is located very near the X-axis, at the eastern extremity of the entire parent fractal. The name "High-order Hijinks" was the first thing that came to mind when I saw the image. The art and math aspects both rate a 7. The colors are not all that impressive, while the math trick is nothing new. The 2-1/4 minute wait while the image calculates may be eliminated by checking the web sites. 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 mix of clouds and sun, along with the temperature of 84F 29C, gave nothing to remember the day by here at Fractal Central today. The fractal cats were so bored that they almost forgot to take their afternoon naps. The fractal humans, who are becoming ever more disgusted with the world and its madnesses, wished they had the time for naps. The next FOTD will be posted soon. Until whenever, take care, and what well known biological species is now almost totally addicted to electronic gadgets? Jim (it's an evil plot of . . . ) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= High-Order_Hijinks { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.10381629138731270/-0.000000302835590\ 10/2.998046e+010/1/-135/0 params=1/1.008/-1e-025/\ 100/0/0/0/0 float=y maxiter=1500 inside=0 logmap=158 periodicity=6 mathtolerance=0.05/1 colors=00060A9ADCAGFAJIAMLAPOARRAUUAXWA_YAb_9db8gc\ 7je6md5pc4rZ3kU3eP2_K2UF1OA1I55C97DGCDIHDOSDWYDbcD\ igDikDioDgsDevDczDbvFbrGbmHbhIbfJbeKacMaaNa`OaZPaX\ QaWR`VV_VYZU`YUdXTgXTjcihzzfzzdzwbzu`ztZzrXrqVrpTm\ oUmoVmoVmnWcnWcnXcmYcmYUwZUwZUw_Uw`Kw`KwaKwaKwg1ml\ 2mq2mvArWCuVDrUEoUFmTHjTIgSJeSKbRL_QNXQOVPPSPQPORN\ OUOQWOSYOT_OVaOXcOYeO_gO`jPblPdnPepPgrPitPjvclxcmv\ mkumischrUfpRdoRcnRalR_kSZiSXhSVgSU`Y`VcgSdfPedNeb\ KfaHg_FgZIf`LebOddRcfTbhWajZ`ka_mcZofYqiXslWunVvgU\ qaTlWSgPRcJZZDZU7ZQ8ZR9ZRAZSBZTCZTEdQGfNIlLKsIMyGJ\ pJHgLFZzDQzBHz98zjZzZRMMJzAUzCUzDKzFUzG6zIUzJUzKUz\ MUzNUzPUzQUzRUzPUzNUzLUzJUzHUzFUzDczBczKczTcz`czic\ zrczzczqczhcz_czRczJczGczEczCczAmzDmzFmzHmzJmzLmzR\ mzXmzamzgmzmmzrmzfmzVmzJmzNmzRzzVzzYzzazzezzhzzbzz\ YzzTzzOzzJzzHzzGzzJzzGzzDzzAzzDzzGzzJzzMzzPzzSzzVz\ zYzz`zzczzfzzizzlzzozzrzz } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 20-07-14 (It's_in_the_Parent [A-7,M-7])
by Jim Muth 21 Jul '14

21 Jul '14

FOTD -- July 20, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "It's in the Parent", which is an obvious truism. The name also refers to the parent fractal, which consists of two large Mandelbrot sets symmetrically situated with respect to the X-axis and connected by an unusually long and broad 'canal'. Today's scene is located on the western side of this canal, very near the X-axis. I chose to investigate the shore line of the canal because I assumed that this is where the most unusual minibrots would be found. A quick check had shown me that the minibrots in the two M-sets hold mostly standard M-set stuff. Both the art and math aspects of the image rate a 7 -- above average but not worth the proverbial cigar. The calculation time however is shockingly fast, finishing on almost any machine in under one minute. The only thing more convenient would be to find the image already calculated. And by a stroke of luck, the finished image may be found on the web sites. The finished image is posted online 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 mix of clouds and sun, and a temperature of 79F 26C, kept today in the comfort zone here at Fractal Central. The fractal cats took it as easy as possible, while the fractal humans spent the afternoon trying to forget the troubles in progress around the world. The next FOTD will be posted in the not-too-distant future. I realize that the FOTD's are not appearing as frequently as in the past, but this is mostly due to a lack of time to write the discussions, not a lack of enthusiasm for fractals. So until whenever, take care, and the other day I heard a young man say that he runs so many apps on his phone because when he is not online, his mind starts working and he starts thinking about his real problems. I guess I'm just a cranky old-fashioned codger, but I assumed this is why we have intelligent minds. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= It's_in_the_Parent { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+0.1984632682885229/-0.0030030724276861\ /1.280406e+007/1/57.5/0 params=1/1.5/0.15/3/0/0/0/0 maxiter=1500 inside=0 logmap=101 periodicity=6 colors=000ALk4MY2JL62L47G2CCIZSDUN9PI4KDPgRGYK8PEn\ WFYQCHLAZLyNJgBHQcL9pQxtvlXLDk8KOCEVynVg7N`8FU87N8\ kqQWdKGSEbfwJTYExx7aYBgo7Y`3PMYDJMEFJPGLSONVWPXcOc\ ZNiVNoRUrM`tIgvDmx9PfJ0PTDSLQUEbX7oZ0pQEqHSq8et9Sv\ AExA1oIJfP`YWq0gS2bP3YM4UKTa`JUR9NH`jEIVBv3Qb8KJCE\ jeXGWWiTDUOBFK98jFnDeaEXPFPCGGwQyULZD3WPStIPgCMW6J\ KLzaEjS7VI917498r65RB7`AhIDQDVc9RW6NO3JGo22Y74HC6w\ uiU`Rbm8Td8JX89O8Rq7d2BU6AK99AD8WPPj3CV8AFC9ShiEUR\ MPjGM`BKR5IHnybPbN2Oo1Md1KU0IJaBvJEXA4x68f3CP`NtOK\ cCIOgnDMXAUbKMXHFRE7LB7__4TQ2MH__zRVlIQZ9LLRkFDWBG\ azAUg5NQRkBDW9ldO_YKOSGCMCq0mR8T6fs4Yc2POvm_gdTTXM\ EOFrecdZWRTODMGoZ9bU8QP8DK8YNEOvAGg98U8`YhRTZIPQ9K\ HrQSdNNRLIDIDqxquUJTND3uP2gJ1UDX_tMTcBMOPQaJ_i9QRG\ 1hhrIXhFMZDBPA3Fi2GX1GKTAqLCeEDV7FJI`B9Q97nK5eH3XE\ 1OBZLAQJ9HI98H8inEYeCNXBBO9pgJQUDaTwPOeCKPqu2H_q8Q\ VVdsVMnWLvOJiGIX8HKTu_E`M } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 15-07-14 (A Sallow Complexion [A-4,M-6])
by Jim Muth 17 Jul '14

17 Jul '14

FOTD -- July 15, 2014 (Rating A-4,M-6) Fractal visionaries and enthusiasts: Today's image is . . . how can I phrase it . . . interesting, which is a word commonly used when one does not like something but does not want to state his disapproval outright. Let's face it, the color cast of the image is sickly. If more time had been available, I might have found a color palette worth several rating points higher, but as it is, I could rate the art no more than a lowly 4. The image lies in the parent fractal that results when the expression Z^(1.618...)+C is iterated 12 levels up the hyperladder with no function applied. The main bay of this parent resembles a crescent moon, with a large minibrot on a zig-zagging filament extending northeast from the main bay. Today's scene lies in deep in a blunt valley on the southwest shore line of this minibrot. The prominent object almost filling the scene is not the pattern around a single minibrot, though the object is filled with smaller minibrots, many of which are well within reach. This pseudo-minibrot effect raises the math rating to a humdrum 6. The calculation time of a zippy 1-1/4 minutes will bring little impatience. The web sites will bring none at all. View the finished image at leisure 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> High humidity, lots of clouds and occasional periods of light rain made today far from perfect here at Fractal Central. The temperature reached 84F 29C but the humidity kept things quite oppressive. The fractal cats passed the day lounging around the living room, while the humans were too busy to do much lounging. The next FOTD will be posted in a day or two. Until that moment arrives, take care, and what rational fractal artist would disparage his own work? Jim (irrational) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_SallowComplexion { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+1.318515193661967/+1.207989754697286/\ 6751055/1/85/0 params=1.618034/0/12/0 float=y maxiter=1500 inside=0 logmap=119 periodicity=6 colors=00054K65K76K87K98KA9KBAKCCKDEKEGKFIKGKKHMKI\ OKJQKJSKIUKHWKHYKG_KGaJJcIMeIPgIRiIUkIXmIZoIaqIdsI\ guIivIlvIovIqvLtvPwvUzwXzw_zwbzwezwhzwkzwnzwqzwtzw\ wzwzzwzzwzzwzzwzzwzzwzzwzzvzzuzzszzrzzpzzozwmztlzq\ jvoirmgmkfhidchcZcbU_`PY_KXYFVXBTVASU9QT8OR7NQ6KQC\ KQCKQ8A85GCOMGf437UgLP`HKTEFMAAE7573Z2DT1AN18H16B0\ 4502HP7lD8_96O64C32p60iWHWG8qqKjk3_b3UW2OQ2IJ1CD16\ 60eSL_OIUKFOGCIC9C86643rLdjIZbFTVCNN9HF6B735D3O82G\ 418DzXAmQ7`J5PD2C6kkgdd`YYVRRPKKIDDC6663Vg1FMW2LP1\ GJ1CC086045fcCSGTdIOZFKTCGNACH78B5452Ph7SrfI_S9IEQ\ tfJeWDSL6EAcO6YK5SH4MD3HA2B61530vhlnbegX__SUTMOMGI\ EBC756oGy2z51j31V20F1X3JS2GO2EK1BG19C17804402FIIAC\ C5663Yk2MW1BGhY1XP0MH0B80KJOA9CTpQEQDAoz5QVyXEiOAV\ G7F83NL3IG2DC1981440Z8bT6WN5QH4JB2D516G2LD1HA1E81A\ 507203Dd`BZW9UR8PN6KI4FD3A9154zL6qI5hF4_C3R92I6193\ 0Emv9Xb4GJPExIAhC7U63FQXy } 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 13-07-14 (Solar Prominences [A-7,M-7])
by Jim Muth 14 Jul '14

14 Jul '14

FOTD -- July 13, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image lies near a tiny minibrot that lies near a larger minibrot that in turn lies near an even larger but still very small minibrot just beyond the large minibrot on the main stem of the parent Mandelbrot set, which has been corrupted deep in its depths by Z^(11) energies. I named the image "Solar Prominences" when the curving filament loops around the edges of the scene reminded me of the prominences seen through a telescope around the edge of the sun's obscured disk during a total solar eclipse. Both the art and math aspects are far enough above average to rate a 7. Fifteen minutes of extra attention to the colors raised the art to this same level. The unexpected combination of quadratic and order-11 features raises the math to the same level. The calculation time of a very neat and tidy one minute will keep boredom in the background, but do not forget the web sites for interesting variations. These side trips are posted 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> Today could best be described as variably cloudy, warm and humid with a chance of showers. The temperature of 88F-(the official U.S. temperature) 31C-(the temperature in the rest of the world) was what is usually expected at this warmest time of year in Central Pennsylvania. The expected thunder showers finally arrived in the evening. The fractal cats took the day as easy as possible, while the fractal humans did the same. The next FOTD will be posted in a day or two. Until whenever, take care, and what does a person have left when he loses faith in both religion and science? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Solar_Prominences { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.796031838509796/+0.00000000045076874\ /2.660628e+011 params=11/1e+017/0/0 float=y maxiter=1750 inside=0 logmap=148 periodicity=6 mathtolerance=0.05/1 colors=05038Q49W6A`9DeCGkFJoIMtLQyOUzRYzUazXgz_kzb\ ozerzhtzmuzrvzvwzzvzztzzszwpwwpwwnvwjtwmtwmswmqwmq\ wmvrmytmzvmzymzzmzumyqmjlmVimFomPvmYzmdzmlzmrzmxzm\ zzmzzkzzizzgzzezzczz_uzTpzKjvDdrCZnAXj9Vf8Tb7RZ6OV\ 5LR5IN5FJ6CF6AB67865_iObiOiniqwztyzyzzzzzzzzzzzzzz\ zzzqvqejeVcXEXL2S86M6CH5LF4UC5`94gA5b94Y94S83N72dK\ 5VHYOJzFGzDEzDCzDCzBCzBCzBCzBCzRGzdSnqcczkQzs9zw7z\ z7sz7lz7ez7Xz7Oz7Fz7Kz7Pz8TqGYiM`bTeVYkLcnBgGzBcvL\ vtVtqOtmHtjBsg6sd6sa6wV7zSGzNQzGYzCfzCmzPszVwz`zze\ zzkzzpzzvzzxnzyfzw_zrQzlIzf9vdOeaXT_bAUl7Uv6Rl9PbI\ NUPKKYJCeH5lG6gR9b_Q`e`_onYxzSzzOzzKzzGzzByz7wz7rt\ 6nnClqQjtbiwjhzrezvunzzQzz7zzBzzOzz`zzkzzrxzwzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzyzzqzznzzzzzzzzzzzzzzzzzzz\ 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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FOTD 10-07-14 (Spots Before the Eyes [A-7,M-6])
by Jim Muth 10 Jul '14

10 Jul '14

FOTD -- July 10, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's polka-dotted image lies in the parent fractal that results when three negative parts of Z^(-2.3) are combined with one negative part of Z^(-7.7) and (1/C) is added on each iteration. The resulting fractal is a sprawling thing with a main bay that resembles Mickey Mouse lying on his right side. Today's scene is located in a filament extending from a lump on Mickey's right ear. The art rates a 7; the math rates a 6. There have been far better images in FOTD history, and we have been to this part of the world of fractal math many times before. The name "Spots Before the Eyes" simply describes the overall impression of the image. Calculating the scene with the logmap reset to zero and the outside set to 'tdis' eliminates some of the spottiness, but brings little improvement to the overall appearance of the image. Perhaps the best feature of today's FOTD is its unusually brief calculation time of 30 seconds, which is quite surprising especially considering the image's magnitude of over 10^12. The web sites are always there to eliminate any residual impatience. The finished image is posted online 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> Near perfect weather prevailed here at Fractal Central today. Near perfection is defined as partly cloudy skies, lower humidity and a temperature of 82F 28C. The two fractal cats enjoyed the conditions to the most of their cat ability, while the fractal humans, with other things to do, paid little attention to the outside conditions. The next FOTD will be posted in a day or so. A FOTD posting every other day seems to be becoming the new FOTD normal, but this is not a permanent change in the schedule. Until whenever, take care, and there were several tornadoes in the local area two days ago. Believe it or not, the number of resulting power outages made bigger news than the damage and deaths caused by the storm. Even today the outages are still the top local story. When a few days without electricity and the resulting unendurable disconnection from the rest of the world is seen as a greater disaster than the deaths of five people, I begin to suspect we have become a bunch of underactive overweight tech- addicts who are much too fascinated with and dependent on the latest hi-tech gadgets. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= SpotsBeforeTheEyes { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+0.8469945718775622/-1.054897773204772/\ 1.6466e+012/1/70.5/0 params=-3/-2.3/-1/-7.7/0/0/0/0 float=y maxiter=1500 inside=0 logmap=52 periodicity=6 mathtolerance=0.05/1 colors=000000600CF60I9HNCAYF_dIPkLzsO_c`xKlkAy6IU0\ AAA4WHL`eezdkzdazdUzaKzZ9mZ0zW1cY2UY4K`4AyI_zU0zjY\ zzzlwzhswdqq`nkWkeSh`OeVKcPO_`RVjURuWMz_Kzzzzzzzzz\ zjzzczzWzyPzxIzwCsn7ce2MY04PCIdKKeRLgYLhcMjjOkqOlx\ PnzPnx_`shMor7hz0az0dz0er2hh9j_HlPOnFUq4`r0en1hj7j\ gFlcLn_SqWYrSduPjwgYuxMuzAuzCxuEykFzcHzUIzKKz9Lz0L\ z0ao6PSEC26AK09Y09k0Hg0Mc0S`0_W0dU0jP0oMq42hE1`M1S\ V1La1PgRSlnPjnMgnKdnHanE`nOWoWUqdPrnMswIuzFwzCxzIq\ zOjxUcr_WndPhjIdnAVu6Lz2Az01z0Cz1Mn7VaCdRIlEMw0Sz0\ Wu0`l0cd0eV1jM4lE7o4ArW6Pu10o94kHEeOMaVVaSUaPSaMRa\ KPaHO_6U`4P`2L`1H`0ECyd9zj6zo2zs1zy0zz0zz0zzucYlcV\ dcSWcPOcMFjK6sH0zE0cC0cA1cLEcVOccLz`KzYIzVHzUFzRFz\ OFzLFzIFzFFzCLzCPzCUzCYzCazCezCazA_z9Wz7Sz6Pz4Mz2K\ z1SzA`zKhzSqz`yzhzzqzzxgzRAz0Fz0Kz0Oz0Rz2Vz6_z9azC\ ezEhzFkzHnzMqzSszYwzcyzhzznzzrrzwezzUzzRzyOzuLzqIz\ kFzgCzc9z_KzgUzoazxkzzszz } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 08-07-14 (A Skewed Outlook [A-7,M-8])
by Jim Muth 09 Jul '14

09 Jul '14

FOTD -- July 08, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image is a scene in the parent fractal that results when the expression Z^(1.7)+C is iterated 28 levels up the complex logarithmic hyperspiral. This parent consists of a large twisted fractal with a large s-shaped bay, the whole thing surrounded by disconnected minibrot-like smaller fractals. Today's scene lies in a blunt valley in one of these small fractals well southeast of the main body of the fractal complex. I named the image "A Skewed Outlook" when I noticed the totally different appearance of the left and right halves of the scene. This unexpected difference earns the math part of the image a rating of an 8. The art part rates a 7, which is above average but nothing to brag about. The calculation time of 5-3/4 minutes might start to drag for those fractalists with other tasks to attend to. Here is where the web sites dash to the rescue. The finished image is posted 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 typically warm and muggy hazy summer day passed uneventfully here at Fractal Central today. The temperature of 91F 33C kept things on the lazy side, especially among the fractal cats, who spent most of the afternoon stretched out in the living room. The humans, unable to take it as easy, spent the day doing the necessary things as slowly as possible. The day ended with a heavy thunder-storm that dropped the temperature to 70F 21C. The next FOTD will be posted in a day or two. Until then, take care, and the more 'news' I see on the mass media outlets, the more I wonder how much of that 'news' has been carefully chosen and spun to create a particular political impression. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Skewed_Outlook { ; time=0:05:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+1.348076433286836/-0.5324527881075607/\ 3.35741e+012/1/87.5/0 params=1.7/0/28/0 float=y maxiter=3600 inside=0 logmap=862 periodicity=6 mathtolerance=0.05/1 colors=000ELgDKfBIfAHe9Fd7Dd6Cc5Ac38b27b15a04a15_1\ 5Z15Y26X26W26V37U37T37S47R48P48O58N59M59L69K69J6AI\ 7AH7AG79E88D97CA6BA5AA49A38A27A16A05A04A03A02A01A0\ 0000j8Ii9KhALhAMeBQbBU_BYXBaUBeRBiOBlVdUa_YgV`ZVLR\ V6SU8TT9USAUSBVRCWQDWQEXPFYOGYOH_JMaFRbAWd6`e2dZ9f\ SGgMNiFUj9`kFZgLXdRWaXUZbSWgRTh_OhgJioEiw900000003\ 00600800A0090090A90E90H95K8AN8FQ8KT8PW8UZ7Za7XdAZg\ C_jE`mGbpIcsKdiPi`TmSYrJavAezCbzE_zGXzHUzJRzLOzMLz\ OIzQFzRCzT9zV6zW3zY4wZ5u`5sa6pb6nd7le8ig8gh9ei9bkA\ `lBZnBWoCUpCSlFTiITfKUbNU_PUXSVTVVQXWN_WJaWGdXDgX9\ iY6lY3nYJqJZt5Tk4Oc4JW4EN39F3473FH4Qa5`d6ko7uz8uxB\ uwDuvGuuIutLusNurQuqSupVuoXunZqi`mebiadfXfbThZPjAA\ lSGnOCpK8rH4sJ6oK7kL9gNAdOC`PDXQEUSGQTHMUJIWKFXMBY\ N7ZO4aP6dQ8fRAiSClTDnUFqVHtWJvXKXZF7`BKTFXMJiFNv8R\ xQJygBzx4wv5uu5st5qs5nr5lq5jp5ho5fn5cm5al5_k5Yj5Wi\ 5Xh6Xh7Yh8Yg9ZgAZgB_gC_wB } 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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Re: [Fractint] FOTD 06-07-14 (Donut World [A-8,M-7])
by Jim Muth 09 Jul '14

09 Jul '14

FOTD -- July 08, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image is a scene in the parent fractal that results when the expression Z^(1.7)+C is iterated 28 levels up the complex logarithmic hyperspiral. This parent consists of a large twisted fractal with a large s-shaped bay, the whole thing surrounded by disconnected minibrot-like smaller fractals. Today's scene lies in a blunt valley in one of these small fractals well southeast of the main body of the fractal complex. I named the image "A Skewed Outlook" when I noticed the totally different appearance of the left and right halves of the scene. This unexpected difference earns the math part of the image a rating of an 8. The art part rates a 7, which is above average but nothing to brag about. The calculation time of 5-3/4 minutes might start to drag for those fractalists with other tasks to attend to. Here is where the web sites dash to the rescue. The finished image is posted 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 typically warm and muggy hazy summer day passed uneventfully here at Fractal Central today. The temperature of 91F 33C kept things on the lazy side, especially among the fractal cats, who spent most of the afternoon stretched out in the living room. The humans, unable to take it as easy, spent the day doing the necessary things as slowly as possible. The day came to a lively end at 7pm with a heavy thunder storm. The next FOTD will be posted in a day or two. Until then, take care, and the more 'news' I see on the mass media outlets, the more I wonder how much of that 'news' has been carefully chosen and spun to create a particular political impression. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Skewed_Outlook { ; time=0:05:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+1.348076433286836/-0.5324527881075607/\ 3.35741e+012/1/87.5/0 params=1.7/0/28/0 float=y maxiter=3600 inside=0 logmap=862 periodicity=6 mathtolerance=0.05/1 colors=000ELgDKfBIfAHe9Fd7Dd6Cc5Ac38b27b15a04a15_1\ 5Z15Y26X26W26V37U37T37S47R48P48O58N59M59L69K69J6AI\ 7AH7AG79E88D97CA6BA5AA49A38A27A16A05A04A03A02A01A0\ 0000j8Ii9KhALhAMeBQbBU_BYXBaUBeRBiOBlVdUa_YgV`ZVLR\ V6SU8TT9USAUSBVRCWQDWQEXPFYOGYOH_JMaFRbAWd6`e2dZ9f\ SGgMNiFUj9`kFZgLXdRWaXUZbSWgRTh_OhgJioEiw900000003\ 00600800A0090090A90E90H95K8AN8FQ8KT8PW8UZ7Za7XdAZg\ C_jE`mGbpIcsKdiPi`TmSYrJavAezCbzE_zGXzHUzJRzLOzMLz\ OIzQFzRCzT9zV6zW3zY4wZ5u`5sa6pb6nd7le8ig8gh9ei9bkA\ `lBZnBWoCUpCSlFTiITfKUbNU_PUXSVTVVQXWN_WJaWGdXDgX9\ iY6lY3nYJqJZt5Tk4Oc4JW4EN39F3473FH4Qa5`d6ko7uz8uxB\ uwDuvGuuIutLusNurQuqSupVuoXunZqi`mebiadfXfbThZPjAA\ lSGnOCpK8rH4sJ6oK7kL9gNAdOC`PDXQEUSGQTHMUJIWKFXMBY\ N7ZO4aP6dQ8fRAiSClTDnUFqVHtWJvXKXZF7`BKTFXMJiFNv8R\ xQJygBzx4wv5uu5st5qs5nr5lq5jp5ho5fn5cm5al5_k5Yj5Wi\ 5Xh6Xh7Yh8Yg9ZgAZgB_gC_wB } 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 06-07-14 (Donut World [A-8,M-7])
by Jim Muth 06 Jul '14

06 Jul '14

FOTD -- July 06, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's FOTD image lies in the parent fractal that results when the expression Z^(1.9)+C is iterated 19 levels up the complex logarithmic hyperspiral with no function applied. (I chose the value of 19 whimsically.) This parent resembles a distorted Mandelbrot set rotated so that its main spike points to the southeast and its East Valley lies on the northwest side of the main bay. Today's scene lies in one of the curious square shaped areas of chaos on the southwest side of the valley. The unusual donut-ring effect was created by rendering the image with the outside set to 'fmod' which draws the overlapping circles. The name "Donut World" refers to these rings of fractal stuff. The art rates an 8, which might be a bit exaggerated, since I doubt that the hasty color work is the best I could do, but the math rating of a 7 seems about right. The calculation time of 2-1/4 minutes is near FOTD average. The average amount of time may be saved by checking the finished image on one of the web sites. The web sites may be accessed 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> For all who have an interest in such things, the weather here at Fractal Central was totally perfect today, with photoshop blue skies, brilliant sunshine, low humidity and a temperature of 84F 29C. The fractal cats, living the indoor life, took the outdoor conditions in stride; the fractal humans passed the day spending more time outside than usual. The next FOTD will be posted in either one, two or three days. Until whenever, take care, and let's combine all the world's religions, average out all the beliefs, and see what we come up with. The way it is now, there are so many different and con- flicting religious beliefs that any thinking person, especially in our materialistic science-based culture, must wonder if there is any real truth at all behind the world's different religious teachings. Such doubt could easily be the reason so many lash out in anger when their religious beliefs are questioned or denied. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Donut_World { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.249919982284546/+0.07730680874550416\ /3.250118e+009/1/122.5/0 params=1.9/0/19/0 float=y maxiter=2400 inside=0 proximity=0.068 outside=fmod periodicity=6 colors=000jZfk`fkbgkdhlfjlimllpmosmrwmuzmxzlvzltzk\ szkqzkpzjnvjmsjkoijlihliglhelhclgblg`lg_lfYlfXlfVl\ eUldSlaSlZRlWRlURlUSoURlUQjUPgUOeUNbUM`ULYZMYXKWWJ\ VVIUUHTTGRSFQQDPPCOOBMNALM9KL8JK7IL6KM6LM6NN6OO6QO\ 6RP5TQ5UQ5WR5XS5ZS5_T4aU4bU4dV4eW4gY2pX3lW4hV5eU6a\ T7YS8VR9RQANPBKOCGNDCI70LA5ND9PGDRIHTLLVOPXQTZTY`W\ abZed`ifcmhfqjhuPNmRPkSQjTSiUThVUgWWfXXeYZcZ_b_`aa\ b`bc_cdZdfYegWfiVgjUhkTimSjnRrpRnoQkoQhoQdoPaoPZoP\ VnOSnOPnOLnNInNFnN7pHCnNGlSKjXOhaSffWdk_bpcbwc`ucZ\ scYrcWpcVncTmcSkcQicPhcNfcMdcKccJacH_cGZcEXcDVcBUc\ ASc8Qc7Pb9QbBQbDQbFQbHRbJRbLRbNRWXOZUP`RQbORdLSfIT\ hFUjCVl9Wn6Xs4Xp3Ym3Zj3_h3`e3ab3a`3bY3cV2dT2eQ2eN2\ fL2gI2hF2iC0kD2iE3hE4fF5eG7cG8bH9`HA_ICYJDXJEVKFUL\ HSLIRMJPMKONMMONLOOJPPIQRGQSFRTDRW6RUCSSHTQNUPSTNY\ SLbRLpQKkPKgOJcNJ_MIWLISKINJHJIHKHGLGGMFGNEGODGPCI\ QBKRAMS9PT8RU7TV6UW5VX4WY } 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 04-07-14 (Cloven Hoof [A-5,M-7])
by Jim Muth 05 Jul '14

05 Jul '14

FOTD -- July 04, 2014 (Rating A-5,M-7) Fractal visionaries and enthusiasts: Today's image is a scene in the Mandeloid that results when the expression Z^(2.1)+C is calculated only 1 level up the hyperladder with no function applied. This parent fractal vaguely resembles a Mandelbrot set rotated 180 degrees with an unusually broad Seahorse Valley neck. Today's scene lies in the Seahorse Valley of a larger minibrot on a filament extending from the period-4 bud on the south shore line of the main bay of the parent fractal. The large open area at the center is actually an order-2.1 minibrot, but judging from its cloven-hoof shape, one would never guess it. The shape of this minibrot of course, is the reason for the name "Cloven Hoof". The appearance of such an unlikely shape in such an unexpected location hints at the presence of the forces of evil. The cloven hoof has long been symbolically associated with evil and especially with the prince of evil himself -- the devil! I myself have no belief in an anthropomorphic devil, which to me is a symbolic representation of the inherent weaknesses of humanity, though there are certainly enough people in this bible-belt area of Pennsylvania who still do believe in such a being, and actually try to convince others that he does exist and is waiting to receive their condemned souls if they do not change their ways. So, at the risk of eternal damnation, I present today's image in a frivolous manner. The cloven hoof is certainly only a curious accidental shape, or could it be that . . . The art rates a 5. I don't want to give the devil more credit than he already has. The math rates a 7. Could it be possible that demonic forces have already worked their way into the realm of numbers? With a calculation time of 20 minutes, the image is surprisingly slow. Some of this could be due to the maxiter of 4200 . . . or could it be a sign that the forces of evil are already infecting the image? The finished image is posted online 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> Rather unusual Independence Day weather prevailed today here at Fractal Central. The usual conditions are haze, heat and humidity with a threat of rain on the fireworks displays. But today brought photoshop blue skies, puffy white clouds, low humidity and a temperature of only 73F 23C. The fractal cats would have enjoyed the day if the occasional firecracker explosions had not kept them on the alert. The humans enjoyed the day anyway. The next FOTD will be posted in a day or two. Until whenever, take care, and why is it so hard to separate the good from the evil in the real world conflicts? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Cloven_Hoof { ; time=0:18:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.1295944794436635/-0.6498524308254613\ /6.627618e+008/1/-62.5/0 params=2.1/0/1/0 float=y maxiter=4200 inside=0 periodicity=6 colors=0004TD3RC3QC3OB3NA3LA2K968q6Br6Dr6Gr6Ir6Ls6\ Os6Qs7Tt7Vt7Yt7_t7bu7eu7gu7jv7lv7ov7qvDpnJpfPpZVoS\ `oKfoCko5ln4mn4nn4nn4om4pm4qm4qm4rl3sl3tl3tl3uk3vk\ 3wk3wk3vj4ui4th4tg4sg4rf4qe4qd4pc5oc5nb5na5m`5l_5k\ _5kZ5jY6iX6hW6hW6gV6fU6eT6eT6dW9cYBc_DbaGbcIaeK`gN\ `iP_kR_mT`kR`jQ`iP`hN`gM`fL`eKadIacHabGaaFa`Da_CaZ\ BbY9bX8bW7bV6bU4bT3bS2bR1cS3dS5eS6fS8gS9hSBiSCjSEk\ SFlSHmSInSKoSMpSNqSPrSQsSStSTuSVvSWwSYwSZdPPMNFOLI\ QKLSJOTHRVGUXFXYD__CbaBeb9hd8kf7ng5qi4tk3wl2zn1rp1\ kr1dt0Yv0Rx0Kf2LP4M76NwW5sT4oR4kP4gN3cL3_J3WH2SE2O\ C2KA1G81C61840420Kw1Dc06K02wQ1oM1hJ1`G1UD0M90F6073\ dpX`kUYgRVcPS_MPWKMSHIOFFKCCGA9C7685342sc_o`XlZViW\ TeURbSP_PNWNLTLJQIGNGEJECGBAD98976644322CKbBJ`AIZA\ HX9GV9FT8ER7DP7CN6BL6AJ59H48F47D36B359247135123011\ Qj2Og1Ne1Mc1La1JZ1IX1HV1GT1EQ1DO1CM0BK09H08F07D06B\ 04803602401205ZG4XF4WE4UE } 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 01-07-14 (Octagonal Activity [A-6,M-7])
by Jim Muth 03 Jul '14

03 Jul '14

FOTD -- July 01, 2014 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's fractal FOTD image lies in an oversized Mandelbrot set corrupted even near its surface by Z^8 energies. (The real p(1) parameter defines the order of the corruption; the imaginary p(1) parameter defines the intensity of corruption as well as the size of the parent fractal. The greater the value of the imaginary parameter, the deeper the corruption is buried and the less its intensity.) Today's scene lies in the large minibrot on the main spike of the parent M-set. This minibrot has already partially morphed into an order-8 minibrot, with an interesting mixture of Z^2 and Z^8 elements. Today's scene lies in some Z^8 stuff that is just appearing in the area of Seahorse Valley of the main spike minibrot. The art rates a 6. I did give the colors a bit of extra effort, but hardly enough to make the image in any way exceptional. With a rating of a 7, the math rates a little better. I still find higher order minibrots with such unexpected surrounding patterns rather fascinating. The image is astoundingly fast, calculating in a fireball 20 seconds or less. And the web sites are always ready to remove the task of calculation entirely. The finished image is posted 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 heat and humidity prevailed here at Fractal Central today. A mild thunder shower in the afternoon cooled things down from 95F 35C to 79F 26C, but also raised the humidity. The fractal cats went into full stretch-out mode in the coolest places they could find, while the humans took the day as easy as we have taken hundreds of others. The next FOTD will be posted in a day or two or three. Until whenever, take care, and science is saying things about the 'real' world that have even the most devout skeptics shaking their heads in puzzlement. As for me, I find their frantic and often contrived damage control efforts quite amusing. Jim (It don't worry me none!) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Octagonal_Activity { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip params=8/8 center-mag=-14.17122276570695/+0.04224104480374021\ /4.1626e+009/1/-15/0 float=y maxiter=1000 inside=0 logmap=40 periodicity=6 mathtolerance=0.05/1 colors=00002603704805906A17B28C39D4AE5BF6CG7DI8EK9\ MHALD9SF9ZHAdJGkLPpNZyPhuKmqGmmCmi8he4cb0Zc8UcFPcM\ KcTFWZHOcPGhW9m_BicCegDbkEZoFWsGSwHPiMUXQZJUc6YhIm\ TLcTNUTPPVQKXRGZSB`T6bU2daWXhyQjnYkdelVmmJjeLlYNmR\ OoJQpCRqATp8Vp6Xp4Zp3`p8cjDfeIi`NkVSnQXqLasGMsdTea\ _T_fGYl3Wh5Td6Qa7OdBSfEVhIYkLamPdoSglTViTIgT6``FVg\ NUbQUZSTUVTQXTMZYUVbaSgiOkpLlYHlFEfHQaJ`XLk`SdcZZf\ eTilNlrHcoFVmEMkDHCoM_uRwzOxsMxlJyeHy_EzTCzMAzGOwO\ `uWVvYPw_Kw`Exb8yd3yeUNjPQfKTcFW`AZX5aU0dRQifomval\ uOkuXbleVcnMVwEMuFKsGJqHIjLGcOEXSCQVAJZ8Ca7FYBHUEJ\ QHMMLOIOQERSAUdlJhhIleHobGqWQsPZuJgwCpx6yp5li4`b4P\ WFSPQUI`WCkYSiOggEvf4va4vX4vY6vY7vY9vYAvYCvYDpVKjT\ ReRX_PcUNjPLpRNiSPcTRYVTSWVMXXGYYAcVShSimPziSteVna\ XhY_bUaXQdRNfLQhKSjJUlIWnHZpG`rFbtEduEcg9cU5cH1ZNO\ UTjRUeOV`LWWJWRJSPJOOJKNJGMJCKJ8JJ4IJ1HIALIIPIRSIZ\ WIg_IobMkYPhTSeOVbJXBOVGP } 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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Final(?) report on the status of the archives and digests.
by Hal Lane 01 Jul '14

01 Jul '14

The [Fractint] archive and digests both appear to be working now. A big Thank You to John Richey and his admins at XMission Support -- and Tim Wegner for moral support -- and those members who helped me test their proper functioning. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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32 more of Jim's FOTDs & my variations are on my site.
by Hal Lane 01 Jul '14

01 Jul '14

The rest of January's (1st - 7th) larger versions of Jim's FOTDs and my variations on them (32 images) are now on my site: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html Again, thanks for navigating thru my home page to keep my counters informed. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 29-06-14 (A Stray Undekabrot [A-6,M-5])
by Jim Muth 30 Jun '14

30 Jun '14

FOTD -- June 29, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: It has been 3 days since the most recent FOTD, but that's the way of it sometimes. After all, fractals are almost the most important things in life, but not the most important. Today's belated image shows an order-11 minibrot lying deep in the chaos on the west side of the north branch of Seahorse Valley of its grossly oversized parent Mandelbrot set. The name "A Stray Undekabrot" confirms this description. I am becoming rather involved in investigating these higher- order fractals and their minibrots, though I have yet to concoct a formula that brings the size of the parent fractal under control in a satisfactory manner. In fact the futile search for a suitable formula is the main reason for the current irregular schedule of the FOTD. I could rate the art no higher than a 6 and the math interest no higher than a 5. The image is still worth a quick look however, at least in my opinion. The calculation time of 3-3/4 minutes is rather slow for an image that rates a measly 6+5. Here is where the web sites charge to the rescue. After waiting three days for further fractal satisfaction, why wait any longer. View the image instantly 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> A near perfect partly cloudy summer day with a temperature of 84F 29C passed uneventfully here at Fractal Central today. The two fractal cats, now almost impossible to tell apart from a distance, took it easy most of the time. The most excitement happened when Jasmine got excited about a flock of butterflies that appeared in the fractal garden in the afternoon. Luckily, the fractal humans made it through the day without getting so excited. The next FOTD will be posted in a day or a few. Until whenever, take care, and do we observe a world that is really out there, or do we create the world by our act of observing it? Goofy occultists and rational quantum scientists both say things that imply that we create the world as we observe it, though the scientists, who must maintain an air of reason and respectabil- ity, cannot state such apparently irrational things outright. Jim (the true believer) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Stray_Undekabrot { ; time=0:03:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=-75\ 8.7815699862324/+76.37727081857/1.132678e+009 params=11/1000 float=y maxiter=2250 inside=0 logmap=466 periodicity=6 mathtolerance=0.05/1 colors=000c7GeAIfCKhFMiHOjKQlMSmPUoRWpUYqW_sZat`cv\ cewegxghudesbbp_`nYYkVViTTfQQdONaLL_JIYHGZJJ_KM_MP\ `NS`PVaQYbS`bTccVfcWidYle_oe`rf`uf_wiYvkUvnQupMusO\ tuRtxUszXsw_juabscVqeNqgKqiIqkGqmDqoBqq9qr6qp4qm2k\ k2ii5ggAeeDccGabJ_`MYZMWWKUUISRGQPFOMDMKBKH9IF8GG8\ EH8EI8EI8EJ8EK8EL8EL8EM8EN8EO8EO8EP8EQ8ER8ER8DPBCO\ ECMGBLJAJMAIO9HR8FU8EW7CZ6Ba69c58f57h7Ag9DgBFfDIfF\ KfHNeJPeKSdMUdOXdQZcSacUcbWfbXhbXdaXaaXZaXW`XT`XQ`\ XN`XK_XH_XE_XB_YEZZGY_IY_KX`MWaOWbRVbTUcVUdXTeZSe`\ S_YPVVMQTJLQGFNDALA5I7hUfeTcbS`_RZXQWUPURORONOLMMI\ LJFKHCJE9IB6H93G6Azb8pW6gP4YI2PBekhLWOkn7nt1ls3js5\ hs7gs9esBcrDarF`rHZrJXrLWrMNpIFnE7lBKYBWKBTUGQbLOa\ MM`MK`NmlAmn7mo5pmHrkTtidvgptdoranp_nnXmlVmjSlhQkf\ NkdLjcIjcGicDhcBhd8ge6gf7fg7eh7di7dj7ck7bl7am7an7`\ o7_p7Zq7Zr7Ys7Xt7Wu7Wv8Xw9XwAXwBXwCXwDYwEYwFYwGYwH\ YwIZwJZwKZwLZwMZwNZwHSwCM } 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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35 larger vers of Jim's FOTD & my variations are on my site now
by Hal Lane 29 Jun '14

29 Jun '14

I just put some older, larger versions of Jim's FOTDs and my variations on them onto my site: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html 35 new images are available are for: Jan 8 thru Jan 13, 2014. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 26-06-14 (Retrogression [A-7,M-3])
by Jim Muth 27 Jun '14

27 Jun '14

FOTD -- June 26, 2014 (Rating A-7,M-3) Fractal visionaries and enthusiasts: Today's image is a scene moderately deep in the southwest branch of the valley enclosing the large period-3 sub-bud on the northwest shore line of the main bud of the Mandelbrot set. The math aspect of the image rates only a 3. After 30 years of exploration, there is little new math stuff to be found in the Mandelbrot set, at least at today's depth of just under 10^(10). The art aspect rates a 7 however. This is in recognition of the modicum of extra effort I put into the colors, which originated with one of the built in color palettes of Fractint. The name "Retrogression" implies a turning back to earlier times, and as far as fractals go, it is hard to turn back to anything earlier than the Mandelbrot set. The most unusual thing in the image is the un-necessarily high maxiter, which causes the solid black background that brings out the underlying patterns. Something extra was needed. In the M-set, unless something special is done, the higher order valleys tend to look more and more alike. The calculation time of one minute is a rough estimate. But regardless of the machine, the wait will be brief. And visiting the web sites can eliminate all waiting. Avoid the chore of calculation by checking 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> After a day of thunder yesterday, today turned out quite pleasant, with partly cloudy skies, lower humidity and a temperature of 86F 30C. Both the fractal cats and humans approved of the conditions, though the younger cat appeared more concerned with pigeons than the weather. The next FOTD will be posted in the near future. Until the near future arrives, take care, and the more books I read that try to explain quantum mechanics, the more I realize that over-educated physicists are making claims even goofier than the mystics and paranormal believers whose claims they so vigorously try to deny. In today's world, I often wonder what ever happened to the days when studying science led to clear rational thinking? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Retrogression { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 inside=255 center-mag=-1.126104574412442/+0.2158730221331172/\ 8.151629e+009/1/91.5/0 params=0/0 float=y bailout=9 maxiter=100000 logmap=-5500 colors=00000055A44A44A33A33A22A22A11A11A00A00A00A1\ 1A11A52A52A53A53A54A54A55A55A56A56A57A57A58A58A59A\ 59AAAFAAFABFABFACFACFADFADFAEFAEFAEFAEFAEFAEFAEFAE\ FID5ID5JE5JE5KF5KF5LG5LG5MH5MH5NI5NI5OJ5OJ5PK5PK5Q\ Q0QQ0RR0RR0SS0SS0TT0TT0UU0UU0VV0VV0VV0WW0WW0XX0XX0\ YY0YY0ZZ0ZZ0__0__0``0``0aa0aa0bb0bb0cc0cc0dd0dd0ee\ 0ee0ff0ff0gg0gg0hh0hh0ii0ii5jj8jjAkkCkkEllGllImmKm\ mMnnOnnQooSooUppWppYqq_qqarrcrressgssittkttmuuouuq\ vvsvvuwwwwwzxxzzzzzzzzzzzzzzzzxxwxxuwwswwqvvovvmuu\ kuuittgttesscssbrrarr`qq_qqZppYppXooWooVnnUnnTmmSm\ mRllQllPkkOkkNjjMjjLiiKiiJhhHhhEggAgg8ff6ff3ee0ee0\ dd0dd0cc0cc0bb0bb0aa0aa0``0``0__0__0ZZ0ZZ0YY0YY0XX\ 0XX0WW0WW0VV0VV0VV0UU0UU0TT0TT0SS0SS0RR0RR0QQ0QQ0P\ P0PP0OO0OO0NN0NN0MM0MM0LL0LL0KK0KK0JJ0JJ0II0II0HH0\ HH0GG0GG0FF0FF0EE0EE0DD0DD0CC0CC0BB0BB0AA0AA099099\ 0880880770770660660550000 } END PARAMETER FILE=========================================

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FOTD 24-06-14 (Sin of Commission [A-8,M-5])
by Jim Muth 25 Jun '14

25 Jun '14

FOTD -- June 24, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's image is named "Sin of Commission", but don't expect any subliminal racy scenes in the image. The name refers to the color intensification of the image, which I did in an outside color program. Since I sometimes consider such superfluous image manipulation to be cheating, I have admitted my sin in the name I gave the image. The questionable manipulation did raise the color rating from a 5 to an 8 however, so maybe my misdeed was not as bad as implied. The math aspect rates a 5 however, and there is no way to raise it. The scene lies deep in East Valley of the large minibrot on the main spike of the Mandelbrot set, an area that has been thoroughly explored at least down to the depth of over 10^14 of today's image. Since arbitrary precision math is necessary at this depth, the image is a slow one, taking around 20 minutes on a SOTA unit. But all is not lost, for the 20 minute wait may be avoided by checking the image on the web sites. The finished image is posted 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> Partly cloudy skies and a temperature of 86F 30C, along with high humidity, kept today on the muggy side here at Fractal Central. The fractal cats kept their eyes on the pigeons that have found their way into the porch roof, while the humans made sure the other things were under control. The next FOTD will be posted in a day or two. Until then, take care, and live without fear, for the aliens from Arcturus are here to protect us. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sin_of_Commission { ; time=0:20:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 maxiter=10000 center-mag=-1.7494348145309275762/2.32385223074\ 695e-6/1.79e+014/1/-122.5/0 params=0/0 float=y bailout=9 inside=0 mathtolerance=0.05/0 colors=000wz2mz0cz0Uz0Kz00w00p00h00_00V00O00H00C15\ 62C14K04T61aH0lT0we0zt0zzAzzKzzUzyczwkztrzrvzpzznz\ zlzzjzzhzzezzczz_zzYzzXzzVzzTzERzJOcOM6VK5_J4eH2lG\ 2YE0OC0EB0490080060050J09z0_w0Vj0R_4MP9JHGG0YY0Ta0\ Oc0Kh0Hj0Kl0Kp0Kr0Pw0Uy0Zz0cz0cz0Uz0Pw0Kl0Ra0hT0zK\ 0yE0w80t20r00p00n00l00j00l00l00l00l00l00l00l00l00l\ 00l00l00l00l10l20l40hG0eR1cc5ar9_zCYzEXzGXzHVyJTwK\ TtMRrOPrPPpROnTMlVMjXKhYJe_JeXRKVY4Te0Rn0Xl0aj0hh0\ nh0te0zc0ya0ta0pa0l_0h_0cY1_X8XVGTTOPTXMTeJTpGTzCT\ zCTlCTRBT9GTCJTEMTGPTHTTJXVKaXMcYOcXPcXRcXTcXVcXXc\ UJcU8cU5cU4cU2cU1cU0bU0aU0__0YY2XY8VYGTYMRYVPXaOXl\ MXtKXzPXzUPyZKlcG_cBPc6Gh4Em1Cr0Bw09zPCzRGwRJnRKhR\ O_TPVTTPTVJTYETa8Vc4Vh0Vj0Vn0Vp0Xy1Yz5_zBazHazOczV\ cz_czhezpezyhzzhzzhznnpTtX9zG0z10t05l0Bc0HX0OP0TJ0\ _C0h60p10y00z00r00e15V6CKCKBJT2PaREcw5cn4eh2ea1eV1\ eP0eK0eE0e90e2rJ1tE0y90z6 } END PARAMETER FILE=========================================

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3rd test post 2 c if current posts r now going into the archives.
by Hal Lane 25 Jun '14

25 Jun '14

3rd test post to see if current [Fractint] posts are now making it into the [Fractint] archives. > My administrator has informed that those archives should fixed > now. Let me know if this is not the case and we'll investigate > further. > XMission Support - [Tue 6/24/2014 7:34 PM EDT] Note that there was also a problem with [Fractint] digests *not* being sent out. This is also supposed to be fixed. If you receive [Fractint] digests, *and* got /this/ post in a digest, would you please email me telling me you received this post? <---<< Thanks! - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Brief report on the status of the archives and digests.
by Hal Lane 23 Jun '14

23 Jun '14

Here's a brief report on the status of Tim's and my attempts to get the archives and digests working again... XMission Support says: [Mon 6/23/2014 4:35 PM EDT] > I've escalated this issue to my administrator and he found some > issues which were not resolved initially. He verified that > digests are now currently going out, but the archives need more > work. From what I know, it will take several hours for the > archives to regenerate, and after they do so the archives should > begin to work again. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 22-06-14 (Random Messenger [A-5,M-5])
by Jim Muth 23 Jun '14

23 Jun '14

FOTD -- June 22, 2014 (Rating A-5,M-5) Fractal visionaries and enthusiasts: Today's unexceptional image lies in the 'East Valley' of the fractal that results when 0.5 part of Z^2 is subtracted from Z^11. At the center lies a minibrot surrounded by disconnected and distorted elephants. The logmap has been intentionally set too high to create the effect of surrounding darkness. The name "Random Messenger" has nothing to do with the appearance of the image. It refers to my instinctive feeling that there is more information hidden in these fractal patterns than meets the eye. The art and math both rate a 5, which shows that the hidden information remains quite well hidden, at least in today's image. The calculation time of 2-3/4 minutes is around FOTD average -- slow enough to cause a bit of impatience yet fast enough to keep interest high. The image is also available on the web sites. The web sites may be accessed 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, a photoshop-blue sky filled with white cottonpuff clouds and a temperature of 82F 28C made today one of the best of the summer. Since this is only the second day of summer, there is much time for even better days. The young fractal cat Jasmine busied herself watching pigeons, while the older cat Nicholas kept the unwanted prowling tomcats at bay. The humans passed the day trying to be relaxed, which in today's hectic world is rather hard to do. The next FOTD will be posted. By not stating exactly when, I am avoiding unfulfilled promises. Until whenever, take care, and from what I read in the current popularized quantum books, (Unpopularized quantum theory is nothing but incomprehensible math.), we might be surrounded by an infinity of alternate but equally real worlds. I would sure like to meet some of these alternate versions of myself, who have avoided making some of the wrong choices that this version of myself has already made. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Random_Messenger { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.048537635420192/-0.00036338380887893\ /2.698645e+012/1/113.75/0 params=1/11/-0.5/2/0/0/0/0 float=y maxiter=1000 inside=0 logmap=206 periodicity=6 mathtolerance=0.05/1 colors=000000Kz3Kt3Kq2Kn2Km2Kk1Ki1Kg0Ke0Jd7Ic6Ha6H\ _6GY6GX5FW5FV5EU5DS5DQ4CO4CM4BK4BI4AH3AG39G38F38E3\ 7D27C26B26A2592581471361351241230120110032D56M7AV9\ EcBIgDMkFQlHUmEXfCX_9XW7XN4XH2XB0M70OA7TKLXNPXQTXS\ XUV_SYcP_fMbiJekHgmEjoBmq8os6kuDhvJexPbyVdvTftRhrQ\ ioOkmNmkLnhKpfIrdHsaFu_EwYCxWBvZDt`FrbHqdJofLmhNlj\ PjkQhkQflQdlRbmRamR_nSYnSWnSUoTToTRpTPpUNqULqUKqUM\ pVOpWQpXSoYUoZVoZXn_Zn``nabmbcmbemcgldileklfllfZdm\ MXs9Qy8Ox8Nw8Mv8Lv7Ku7It7Hs7Gs6Fr6Eq6Cp6Bp5Ao59n58\ m57m9BjCEhGHeJLcMO`QRZTUXWYU_`SbcPegNijKlmIopGpnKp\ mNplQpkTpiWphZpgaqfdqegqcjqbmqapq`sq_vschufVwiHnNF\ e1D_6JUAPOEVIJ`CNf6Rl7Ui7Wg8Ye8_c9aa9c_AfYAhWBjUBl\ SCnQCpOCrM_gn_ho`ho`ioaioaiobjocjpcjpdkpdkpekpelpf\ lqflqgmqhmqhmqinqinrjorjorkorkprlprmpsmqsnqsnqsors\ orsprtqstqstrttrttsttsuutuutuuuvuvvuvvuwwvwzzzzzzz\ 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 21-06-14 (Fractal Yuletime [A-6,M-8])
by Jim Muth 22 Jun '14

22 Jun '14

FOTD -- June 21, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: It has been two days since the last FOTD was posted, but have no concern. This delay is not a sign of another looming FOTD drought. There is simply a lot of catching up yet to do here at FC. Today's image is part of a near-Julia set lying in the Julibrot that results when a Mandelbrot set is strongly corrupted even on its surface by Z^(2.5)+C energies. I have added to the interest by rendering the scene with the inside set to 'fmod', thereby creating the circular features. The name "Fractal Yuletime" refers to the pinkish triangular shape at the center, which rather resembles a Christmas tree. The art rating of a 6 shows that I consider the artistic worth merely average. The math rating of an 8 indicates that I consider the math aspect more interesting than the artistic aspect. The calculation time of 1-1/2 minutes will cause little impatience, and the little impatience it does cause may be eliminated by viewing the image on the web sites. Avoid calculation by checking 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> Clouds and rain kept things suppressed here at Fractal Central two days ago, but yesterday and today brought nothing but sunny skies and a temperature of 79F 26C. The fractal cats, who are now almost impossible to tell apart, celebrated the fine conditions by getting into a heated tussle. The humans, who are becoming ever more wrapped up in world events, passed the day admiring the fractal garden. The next FOTD will be posted in a day or maybe two. Until then, take care, and it's about time to dig into the huge backlog of e-mail here at FC. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fractal_Yuletime { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivJulibrot-2 function=recip float=y passes=1 center-mag=2.05261/0/28.15386/1/90/0 params=89/0/89/0/-1.315/0/0/0/2.5/1 maxiter=1800 inside=fmod proximity=0.015 periodicity=6 colors=000wzzwwtttnqshorcmq`kpZko_ln`lm`mlamkbnjcn\ jcoidohepgfpfgqegqdhrcirbjsaks`kt_lt_muYnuWntUmtSl\ tQlsOksMjsKjsNirQhrThrWgrZgqafqdeqgeqjdpmcpncpobrp\ cppbopbmpalpajp`ip`gp_fp_epZcpZbpY`pY_pXYpXXpWWpWU\ pVTpVRpUQpUOpTNpTMpSKpSJpRHpRGpQEpQDpPDqOCpPCoQCnQ\ CmRClRBkSBjSBiTBhTBgUAfUAeVAdVAcWAcWCdYDd_EeaFecHf\ eIffJghKgjMhlNhnOipPiqOjoNjmNjlMjjLjiLjgKjfKjdJjcI\ jaIj`HjZHjYGjWFjVFkTEkSDkQDkPCkNCkMBkKAkJAkH9kG9kE\ 8kD7kB7kA6k84i56k78m8Ao9CqAEsBGuCIwDKyELzFMwGNtHOq\ IPoIQlJRiKSgKTdLUaMVZNWXNXUOYRPYPPZOQZOQZORZORZOSZ\ OSZOT_OT_OU_OU_OV_OV_OW_OW_OX`NX`NY`NY`NZ`NZ`N_`N_\ `N`aN`aNaaNaaNbaNbaNcaNcfLeaNcXPaTR_OTYKUXKVYKWZKX\ ZKY_KY_KZ`K_`K`aKaaKabKbbKccKdcKddKeeKfeKgfKhfKhgK\ igKjhKkhKliKliKmjKnjKokKokLnjMmjNmjNljOljPkjQjjQjj\ RijSijThjTgjUgjVfjWfjWejXdjYdjZcjZcj_bj`ajaaja`jzz\ UzzWzzZzz`zzbzz_zzYzzVzzT } frm:FinDivJulibrot-2 {; draws slices of FinDivBrot-2 Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(bb)*(z*z*fn1(z^(aa)+bb))+c |z|< 1000000 } END PARAMETER FILE=========================================

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2nd Test post re archive prob. One recipient - list.
by Hal Lane 20 Jun '14

20 Jun '14

2nd test post to see if the [Fractint] archive is fixed. It is *only* being sent to the [Fractint] list. I'm testing to see if a new requirement has been added when the new version of the mailing list and archive software was recently installed: Conjecture: ----------- Only emails with a *single* addressee (the [Fractint] List Serve) are now allowed. A test post I made with *two* addressees seems to have not been broadcast back to me. A complication is the fact that I currently get a digest, and possibly not enough posts have accumulated to force a digest to be mailed... I also did not see that 1st test post in the [Fractint] Archive. > Mon 6/16/2014 6:05 PM > This should be fixed now. Let me know if you're still > expereincing some issues. > > XMission Support > > > [Fractint] posts seem to no longer be making it into the > > [Fractint] Archive. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 19-05-14 (A Cubic Conundrum [A-8,M-6])
by Jim Muth 19 Jun '14

19 Jun '14

FOTD -- June 19, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image takes us deep into the western HyperElephant Valley of the Z^(3.01)+C Mandeloid. (There are two of them in the parent fractal.) The valley actually forms a wedge, with today's image lying deep in a small patch of chaos on the southern edge of the wedge blade. The art rates an 8 because I rather like the image. The math rates a 6 because we have been here several times before. The name "A Cubic Conundrum" refers to the cubic minibrot at the center. It's not really a cubic minibrot of course, but the difference is almost impossible to spot. The calculation time of 2-1/4 minutes is near FOTD average. To see the image faster than average, check the web sites. The finished images are posted 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> After a midsummerish day yesterday, with hot sun, high humidity and a temperature of 90F 32C, we had a night of thunder and rain, followed by a cloudy day today with occasional light rain and a temperature of 72F 22C here at Fractal Central, which was under-appreciated. During the hottest part of yesterday, the fractal cats went into stretched-out mode in the coolest places they could find. Today they curled up on the couch in comfort. The fractal humans passed both days doing typical human things. The next FOTD will be posted not very long from now. Until that glorious moment arrives, take care, and better things will come. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Cubic_Conundrum { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-0.3866005279413899/-0.0059120191614533\ /6.934026e+012/1/92.5/0 params=3.01/0/0/0/0/0 float=y maxiter=2250 inside=0 logmap=286 periodicity=6 mathtolerance=0.05/1 colors=000SMoTMqUNpWOpYQp_SoaVocYoe`ogcnifnkinmlno\ ooqrpnuqkyzjvzjszjpzjmTjjNjgHjdBlcEncGpcIqcKscMucO\ vcQgMhU4zTEwSOtRYqQgnPpkJ_iDKg84fE5cK5aP6ZV6X_7Ue7\ Sj7QvbStYTrUUpQVnLWlHXjDYh9YeF_cLa`QcZWeWagUfhOUUI\ Q`CMg6ImGEjQAg_6dh2ad7daBgZGjVKlSPoPTrMXtUYoaYjiYe\ qY`T9qRBiPCbOEWMFPLGIiZxeVsbRn_NiXKeWIhVHjUFmTEoSC\ rSBtNEeJGSHFQGENEDLDBJBAHA9F87D7EK5KK4UUFrrDomBkiA\ ge9ca8_Y7WU6SQ5ON4KJ3GF2CB187043`ZqN9xSIxXRx`_xXXp\ UViQSbNQWOVZOZaPcdPgfQkiQplRtoRxqOunLrlJoiGlgEidBf\ b9c`CdZFeYIeXLfWOgVRgULcWG`YAX_5UaZhKOlEDo8El7GeKH\ _WITgJNsQOsWOsaOshPsnPstPszPsh_qRjoAumEhQHX3NW6S`8\ XbAacCfcEkcGpcIjcOdcUZc_TceNckQcbTcVVcMYcE_c6Qc9Sc\ NUc`WmmXmeXmZYmSYmLZmEZm7Zm0Um5PmAKmFLmIPmSTmaXmk`\ mudmvgzvjzvmzvpzvszvvzvyzvwzimzXmzZmz`mzbmzdmzfmzh\ mzjwzkwzawzTwzJwzAwz1wz6wzBwzGwzLwzQwzWwz`wzewzdwz\ dwzcwzcwzbwzbwzbwziwzkwzm } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Test post to see if the archive is fixed.
by Hal Lane 17 Jun '14

17 Jun '14

This is a test post to see if the [Fractint] archive is fixed. > Mon 6/16/2014 6:05 PM > This should be fixed now. Let me know if you're still > expereincing some issues. > > XMission Support > > > [Fractint] posts seem to no longer be making it into the > > [Fractint] Archive. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 17-05-14 (Superposition [A-8,M-8])
by Jim Muth 17 Jun '14

17 Jun '14

FOTD -- June 17, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's image is named "Superposition". This name has nothing to do with the even more mysterious quantum world. It is a simple overlaying of the Mandelbrot and Julia aspects of Seahorse Valley, calculated without using multiple layers. The two bright beige spikes intruding from the north and south edges of the frame are part of the Mandelbrot aspect of the valley. The small bluish figure centered between the points of the spikes is a somewhat distorted version of the Julia set of Seahorse Valley. This is the first fractal I have found that shows both 'seahorse' aspects in their proper places with so little distortion. The art and math ratings of 8 seem about right, at least to me. The calculation time of 1 minute will pass in a semi-flash. The flash may be eliminated by checking the finished image on one of the web sites. So be happy. Save time by checking 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> Lots of sun and humidity made the temperature of 90F 32C feel like midsummer here at Fractal Central today. Storm clouds were on the horizon most of the day, but none came close enough to bring cooling breezes. The fractal cats celebrated the conditions that make cats happy by stretching out on the coolest places they could find. The next FOTD will be posted in a reasonable time. Until then, take care, and where is a media news outlet without an agenda? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Superposition { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivJulibrot-2 function=recip passes=1 center-mag=-0.0410392/0/0.4436728 params=88/0/88/0/-0.75/0/0/0/-10/1000000 float=y maxiter=1500 inside=bof60 logmap=yes symmetry=xaxis periodicity=6 colors=000zzzmmmcecUZUKUKAGE5AC34B02A00C03F26I49K6\ AP8BU9CW8CX7DY7E_6Fa5Fc5Ge4Hh3Ij3Il4Lj5Oi5Qh6Tf7Ve\ 7Yd8`h9bm9erAgvBjzBmvCorDrmDthCocBkZBfVAbRAYR9UR8P\ Q8LQ7GQ7CQBDREDRHDSKDSODSRETUETXET`EUcEUfFViFVmFVp\ FWsFWvFWtEYrE_pD`nDblCdjCeiBggBieAjcAla9m_9oZ8qX8r\ V7tT7vR6wP6yO6zMBvLFrKJoJNkHRhGVdFZaEbYDfVFgUHgTJg\ SLgRNgROgQQgPSgOUgOWhNYhMZhL`hKbhKdhJfhIhhHihHjgIj\ gIjfIkfJkeJkeJldKldKlcKmcKmbLmbLnbLnaMnaMo`Mo`Mo_N\ p_NpZNpZOqYOqYOqYOoXPmWPlVPjUPiTPgSPeSQdRQbQQaPQ_O\ QZNQXNRVMRULRSKRRJRPIROIRPHSPGTQFTQFUREURDVSCVSCWS\ BXTAXT9YU9YU8ZV7ZV6_V6`W5`W4aX3aX3bY2bY1cY1cZ3`_4Z\ _5X`6Va8Ta9RbAPcBNcCLdEIeFGeGEfHCgJAgK8hL6iM4iN2aQ\ FVTRWUSWUTXUUXUVYUVYUWZUXZUY_UZ_UZ`U_`U``VaaVbaVbb\ VcbVdcVecVfdVfdVgeVheVieVidWhdXhdYhdYhdZgc_gc_gc`g\ cafcbfcbfbcfbdebdebeebfebfecdccbbc`acZ`cX_cVZcTYcR\ XcQVcOUcMTcKSY`JXbJWcKVeL } frm:FinDivJulibrot-2 {; draws slices of FinDivBrot-2 Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(bb)*(z*z*fn1(z^(aa)+bb))+c |z|< 1000000 } END PARAMETER FILE=========================================

1 0

FOTD 16-06-14 (String Along with Me [A-7,M-8])
by Jim Muth 17 Jun '14

17 Jun '14

FOTD -- June 16, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Let the banners wave and the trumpets blare. The work is finished and the FOTD is back! We're still rather busy here at FC however, so today's discussion will be rather brief. The image is an 'evaporated' one, meaning the entire scene consists of 'inside' stuff made visible by an active inside fill, in this case the 'bof60' fill. The 'outside' stuff has evaporated away due to the bailout radius of 1,000,000. The image is an 'almost-Julia' scene sliced through the Seahorse Valley area of a Z^2+C Julibrot corrupted by Z^(-10) energies. Since there is no distorted low-iteration 'outside' stuff to obscure the Mandelbrot shape, the outline of the entire M-set is plainly visible, though greatly enlarged due to the acute angle of the slice. The most surprising thing however is the skeletal Julia set of Seahorse Valley, which lies in its proper place at the junction of the two branches of Seahorse Valley in the M-set outline. I will show this skeletal Julia set in its full glory in the next FOTD, to be posted in the near future. The name "String Along with Me" refers to the strings of brilliant fractal beads strung throughout the image. These strings of beads will become more prominent in the next FOTD. The art rates an honest 7. There have been images with far better coloring in the past. The math rating of an 8 is based on the superposition of both the Mandelbrot and Julia aspects of Seahorse Valley. The calculation time of 1-1/4 minutes is fast enough, but a little time could still be saved by checking the web sites. Save time and avoid the calculation by visiting 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> Today began foggy here at Fractal Central, but the fog soon cleared off, leading to a sunny hot afternoon with a temperature of 88F 31C. The day ended with a brief but heavy thunder-storm. The fractal cats passed the day sleeping, eating and watching for intruding cats, while the humans made it through the day exhausted but satisfied. The next FOTD will be posted in a little while. To see how brief the while will be, check back frequently. Until whenever, take care, and keep repeating "America is great". After a while, you might begin to believe it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= StringAlongWithMe { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivJulibrot-2 function=recip passes=1 center-mag=8.68773/0/0.02218364 params=88/0/88/0/-0.75/0/0/0/-10/1000000 float=y maxiter=1500 inside=bof60 logmap=yes symmetry=xaxis periodicity=6 colors=000zzzzzZmmKcc0UU0KJ0FF0AA056504802A00A00A0\ 0A00A00A00A00A00A00A0090080070070070073S74T75U76V7\ 7W77X78Y79Z7A_7Ba7Cb7Dc7Ed7Ee7Ff7Gg7Hh7Ii7Jj7Kk7Jk\ 4Kl7LlALlDMmGNmJNmMOnPPnSPnUQoXRo_RobSpeTphTpkUqnV\ qqWrtVqsVpsVpsVorUorUnrUnqUmqTmqTlpTlpTkpSkpSjoSjo\ SioSinRhnRhnRgmRgmQfmQfmQelQelPdlPdkPckPckPbjObjOa\ jOajO`iN`iN_iN_hNZhMZhMYgMYgMXgMXgLWfLWfLVfLVfLUfL\ UfLTfLTfKSeKSeKReKReKQeKQeKPeKPeJOdJOdJNdJNdJMdJMd\ JLdJLdIKcIKcIKcIKcIKcIKcIKcIKcHKbIKcJKcJKcKKdKLdLM\ dLNdMOeMPeNQeNRfOSfOTfPUfQVgQWgRXgRYhSZhSZhT_hT`iU\ aiUbiVcjVdjWejXfjXgkYhkYikZjlZkl_ll_mlZllYklXjkWik\ VhkUgjTfjSejRdiQciPbiOahN`hM_hLZhKKgJLeINdHPbGRaFT\ _EUZDWXCYVB_UAaS9cR8dP7fO6hM5jL4lJ3nJ3mI3mI3mH4lH4\ lH4lG4lG5kG5kF5kF5kF6jE6jE6jE6jD7iD7iD7iC7iC8hC8hB\ 8hB8hB9gC9gDAgEAgEAgFBgGBfGBfHCfICfIDfJDfKDfKEeLEe\ MEeMFeNFeOGeOGePGdQHdQHdR } frm:FinDivJulibrot-2 {; draws slices of FinDivBrot-2 Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(bb)*(z*z*fn1(z^(aa)+bb))+c |z|< 1000000 } END PARAMETER FILE=========================================

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Virtualbox Appliance
by Timothy Wegner 14 Jun '14

14 Jun '14

David Riccio very kindly put together and sent to me an Oracle VirtualBox appliance which I have put up on our (incredibly ancient, stodgy, inexpertly hand coded, rarely updated) fractint.net website. I have created a new directory virtual_environments ( http://fractint.net/ftp/virtual_environments/) where I put his appliance. We can put usb drive images and other such things there as time goes on. David is a linux user, and runs his appliance with no trouble under linux. I briefly tested it under Windows 8.1, and had no difficulty. You will need Oracle VirtualBOX installed on your system. There are few tricks to using VirtualBOX, mainly how it handles the mouse cursor, but by and large I found running fractint to be straightforward. If anyone cares to write a few instructions, I will get them posted. (I'll be away for a few weeks, so will not be able to respond as quickly as I would like if someone sends me something.) I continue to be amazed how there are multiple ways to continue to run Fractint, a DOS program, on modern machines. Here's a very crude listing of some of the ways, including a few pros and cons. 1. Booting FreeDOS directly from a USB drive. Pros - the fastest option - usb drive provides a way to save the resulting fractals. Cons - some machines won't boot from USB drive - needs some add-ons to get best possible vesa support 2. DOSBox: Pros - terrific vesa video support, especially if you use the svn version - runs under many OS's - easy to update fractint Cons - slower because it is a virtual machine. - needs a little more setup, less turnkey. 3. Virtual Appliance: Pros - turnkey solution - runs under just about any OS Cons - slower because it is a virtual machine. - a bit of work to update fractint 4. Run under older Windows (XP or earlier) Pros - machine can run developer environment Cons - have to keep old machine or multi-boot environment around. Feel free to chime in if I didn't get something quite right. I would be curious to know pros and cons of DOSBox and virtual appliance approaches from other people's perspectives. They seem similar, albeit implemented differently, but I would think there are higher resolution options with DOSBox. Tim

1 0

Enjoyed the simultaneously collapsing & expanding features in yr recent 'baboon' anim.
by Hal Lane 13 Jun '14

13 Jun '14

JoTD, I did enjoy the simultaneously collapsing and expanding of your recent animation -- before the striking fractal ghost-demon / werewolf / baboon / fire-baboon / embryo appears. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

1 0

posts seem to no longer be making it into the Archive.
by Hal Lane 13 Jun '14

13 Jun '14

Dear fractint-owner & xmission support, [Fractint] posts seem to no longer be making it into the [Fractint] Archive. The last post I see in the Archive was dated: Date: 2014-05-27 14:01 -400 Fortunately, the posts still appear to be broadcasting to the list members. ----------------------------------------------------------- Any chance the Archive could get the ongoing posts inserted into it on an ongoing basis again? <---<< ----------------------------------------------------------- Thanks for your time, - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Jim's "...ten more random fractals..." are on my site now.
by Hal Lane 13 Jun '14

13 Jun '14

On June 5th Jim posted, "Here are ten more random fractals..." I calculated & anti-aliased them - they're now on my site on the June, 2014 page. Thnx for navigating through my home page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

1 0

Good News!!
by Jim Muth 11 Jun '14

11 Jun '14

At 04:44 PM 6/5/14 -0400, you wrote: Fractal visionaries and enthusiasts: The FOTD drought is near its end! I expect to be able to resume the regular near-daily FOTD postings some time nxt week. JIM

1 0

Fractint under FREEDOS from USB drive
by Timothy Wegner 11 Jun '14

11 Jun '14

This is just a preliminary report, but I think I have found a solution for running the DOS fractint that will work for a lot of people, and one that the Fractint team (such as it is) might be able to support. This makes it possible to run the DOS fractint on modern combuters. The hardware requirements are: 1. Bios that permits booting from a USB drive 2. Graphics with decent VESA video mode support. I bought a bunch of Sandisk Cruzer Fit 8 gb USB drives. These are physically almost too small, they are not much larger than the USB connector itself. I have seen some complaints that some software recognizes them as fixed drives and won't format them. This actually worked to my advantage, because the Award BIOS of my XP machine treated it as a hard drive and let me select the Cruzer Fit to boot from. There's a terrific free tool called rufus available here: http://rufus.akeo.ie/ that runs under Windows (in my case Windows 8.1 64 bit) and can format the USB drive to boot to DOS. I used FreeDOS, but you can use just about any DOS instead. I like using FreeDOS because the default installation seems to do what Fractint needs with extended memory etc. I will verify that this is right. Then I dumped the entire fractint distribution on the USB, with the single difference that I used a fractint.cfg generated by makecfg.exe with the VESA modes for my XP machine. When I ran Fractint, every VESA mode worked, even modes that exceeded the native resolution of my cheap secondary LCD monitor. The problems using higher resolution modes on the same computer under Windows XP vanished. On a related note, I am thinking about putting up a wiki at fractint.net/.org. We could put up instructions like this, par files, images, etc. I wouldn't want to pre-empt others that have fractal sites, but the idea is just to provide more information that would help folks use this ancient DOS program. I would like to hear from anyone else who has used a DOS-from-usb-drive environment to run Fractint. One could literally have a DOS fractint environment booting from on a machine with no hard drives. Tim

7 26

Re: [Fractint] Fractint Digest, Vol 136, Issue 2
by JackOfTradeZ＠comcast.net 07 Jun '14

07 Jun '14

vas ist de problem mit ze fwactint seuveu? und vy noone like ze baboon animashun? i sink ze vorld end zoon. i make a funny like sebastien ----- Original Message -----From: fractint-request(a)mailman.xmission.comTo: fractint(a)mailman.xmission.comSent: Sat, 07 Jun 2014 20:26:58 -0000 (UTC)Subject: Fractint Digest, Vol 136, Issue 2 Send Fractint mailing list submissions to fractint(a)mailman.xmission.com To subscribe or unsubscribe via the World Wide Web, visit https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractintor, via email, send a message with subject or body 'help' to fractint-request(a)mailman.xmission.com You can reach the person managing the list at fractint-owner(a)mailman.xmission.com When replying, please edit your Subject line so it is more specificthan "Re: Contents of Fractint digest..." Today's Topics: 1. Re: Fractint under FREEDOS from USB drive (Timothy Wegner) 2. Re: Fractint under FREEDOS from USB drive (David W Riccio) 3. Re: Fractint under FREEDOS from USB drive (david) 4. Re: Fractint under FREEDOS from USB drive (David W Riccio) ---------------------------------------------------------------------- Message: 1Date: Sat, 7 Jun 2014 10:44:47 -0500From: Timothy Wegner <tim(a)tswegner.net>To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com>Subject: Re: [Fractint] Fractint under FREEDOS from USB driveMessage-ID: <CAFLr2750rvjx57QSXRYA0FoEZBQXbOrzcAas6v04a1fNQO_rvw(a)mail.gmail.com>Content-Type: text/plain; charset="utf-8" Sciwise asked: > > Will FreeDOS run on 64 bit machines ?>Absolutely yes. DOSBox will also run directly under Ubuntu. I haven't triedWine with some version of DOS to run Fractint, sounds complicated, andDOSBox already has more or less done that.-------------- next part --------------An HTML attachment was scrubbed...URL: <http://mailman.xmission.com/lurker/list/fractint.en.html/attachments/201406…> ------------------------------ Message: 2Date: Sat, 07 Jun 2014 12:05:32 -0800From: David W Riccio <lcd-master(a)lemoncreekdigital.com>To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com>Subject: Re: [Fractint] Fractint under FREEDOS from USB driveMessage-ID: <5393708C.6050901(a)lemoncreekdigital.com>Content-Type: text/plain; charset="iso-8859-1"; Format="flowed" FreeDOS will run on a 64bit Core2 Intel (I have tested on a Dell 755, Dell 760, and a Dell 780)(installed on hard drive and also from USB drive) FreeDOS will also run in a Virtual Machine (I have tested on Oracle Virtual Box, under Ubuntu 12 / 13 and under Mint 15 / 16 and under Fedora 17 / 18 / 19 / 20) ... you have control of how much processor time you give the virtual machine and how much memory. On 06/07/2014 03:10 AM, sciwise(a)ihug.co.nz wrote:>> As I speak I'm using Ubuntu 14.04 , from a 16GB>> USB ROM Stick .>> There's a menu option , at boot up , to go to either Ubuntu, the > default , or Windows .>> To try out FreeDos as you recommend , I'd need>> to obtain another USB Stick .>> Another possibility , though possibly slower ,>> use Wine with Ubuntu to run Fractint .>> Will FreeDOS run on 64 bit machines ?>> On 05/03/2014 09:47, Timothy Wegner wrote:>>> This is just a preliminary report, but I think I have found a >> solution for running the DOS fractint that will work for a lot of >> people, and one that the Fractint team (such as it is) might be able >> to support. This makes it possible to run the DOS fractint on modern >> combuters.>> The hardware requirements are:>> 1. Bios that permits booting from a USB drive>> 2. Graphics with decent VESA video mode support.>> I bought a bunch of Sandisk Cruzer Fit 8 gb USB drives. These are >> physically almost too small, they are not much larger than the USB >> connector itself. I have seen some complaints that some software >> recognizes them as fixed drives and won't format them. This actually >> worked to my advantage, because the Award BIOS of my XP machine >> treated it as a hard drive and let me select the Cruzer Fit to boot from.>> There's a terrific free tool called rufus available here:>> http://rufus.akeo.ie/>> that runs under Windows (in my case Windows 8.1 64 bit) and can >> format the USB drive to boot to DOS. I used FreeDOS, but you can use >> just about any DOS instead. I like using FreeDOS because the default >> installation seems to do what Fractint needs with extended memory >> etc. I will verify that this is right.>> Then I dumped the entire fractint distribution on the USB, with the >> single difference that I used a fractint.cfg generated by makecfg.exe >> with the VESA modes for my XP machine.>> When I ran Fractint, every VESA mode worked, even modes that exceeded >> the native resolution of my cheap secondary LCD monitor. The problems >> using higher resolution modes on the same computer under Windows XP >> vanished.>> On a related note, I am thinking about putting up a wiki at >> fractint.net/.org <http://fractint.net/.org>. We could put up >> instructions like this, par files, images, etc. I wouldn't want to >> pre-empt others that have fractal sites, but the idea is just to >> provide more information that would help folks use this ancient DOS >> program.>> I would like to hear from anyone else who has used a >> DOS-from-usb-drive environment to run Fractint. One could literally >> have a DOS fractint environment booting from on a machine with no >> hard drives.>> Tim>>> _______________________________________________> Fractint mailing list> Fractint(a)mailman.xmission.com> https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint -- -David David W Riccio david(a)lemoncreekdigital.comLemon Creek Digital(907) 780-6122www.lemoncreekdigital.com -------------- next part --------------An HTML attachment was scrubbed...URL: <http://mailman.xmission.com/lurker/list/fractint.en.html/attachments/201406…> ------------------------------ Message: 3Date: Sat, 07 Jun 2014 10:08:28 -1000From: david <gnome(a)hawaii.rr.com>To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com>Subject: Re: [Fractint] Fractint under FREEDOS from USB driveMessage-ID: <5393713C.5030105(a)hawaii.rr.com>Content-Type: text/plain; charset=UTF-8; format=flowed Hmm, never tried FreeDOS under a VM. On a multicore processor, you could give the FreeDOS VM one core to itself. That should minimize impact on anything else the system is doing. On 06/07/2014 10:05 AM, David W Riccio wrote:> FreeDOS will run on a 64bit Core2 Intel (I have tested on a Dell 755,> Dell 760, and a Dell 780)> (installed on hard drive and also from USB drive)>> FreeDOS will also run in a Virtual Machine (I have tested on Oracle> Virtual Box, under Ubuntu 12 / 13 and under Mint 15 / 16 and under> Fedora 17 / 18 / 19 / 20) ... you have control of how much processor> time you give the virtual machine and how much memory.>> On 06/07/2014 03:10 AM, sciwise(a)ihug.co.nz wrote:>>>> As I speak I'm using Ubuntu 14.04 , from a 16GB>>>> USB ROM Stick .>>>> There's a menu option , at boot up , to go to either Ubuntu, the>> default , or Windows .>>>> To try out FreeDos as you recommend , I'd need>>>> to obtain another USB Stick .>>>> Another possibility , though possibly slower ,>>>> use Wine with Ubuntu to run Fractint .>>>> Will FreeDOS run on 64 bit machines ?>>>> On 05/03/2014 09:47, Timothy Wegner wrote:>>>>> This is just a preliminary report, but I think I have found a>>> solution for running the DOS fractint that will work for a lot of>>> people, and one that the Fractint team (such as it is) might be able>>> to support. This makes it possible to run the DOS fractint on modern>>> combuters.>>> The hardware requirements are:>>> 1. Bios that permits booting from a USB drive>>> 2. Graphics with decent VESA video mode support.>>> I bought a bunch of Sandisk Cruzer Fit 8 gb USB drives. These are>>> physically almost too small, they are not much larger than the USB>>> connector itself. I have seen some complaints that some software>>> recognizes them as fixed drives and won't format them. This actually>>> worked to my advantage, because the Award BIOS of my XP machine>>> treated it as a hard drive and let me select the Cruzer Fit to boot from.>>> There's a terrific free tool called rufus available here:>>> http://rufus.akeo.ie/>>> that runs under Windows (in my case Windows 8.1 64 bit) and can>>> format the USB drive to boot to DOS. I used FreeDOS, but you can use>>> just about any DOS instead. I like using FreeDOS because the default>>> installation seems to do what Fractint needs with extended memory>>> etc. I will verify that this is right.>>> Then I dumped the entire fractint distribution on the USB, with the>>> single difference that I used a fractint.cfg generated by makecfg.exe>>> with the VESA modes for my XP machine.>>> When I ran Fractint, every VESA mode worked, even modes that exceeded>>> the native resolution of my cheap secondary LCD monitor. The problems>>> using higher resolution modes on the same computer under Windows XP>>> vanished.>>> On a related note, I am thinking about putting up a wiki at>>> fractint.net/.org <http://fractint.net/.org>. We could put up>>> instructions like this, par files, images, etc. I wouldn't want to>>> pre-empt others that have fractal sites, but the idea is just to>>> provide more information that would help folks use this ancient DOS>>> program.>>> I would like to hear from anyone else who has used a>>> DOS-from-usb-drive environment to run Fractint. One could literally>>> have a DOS fractint environment booting from on a machine with no>>> hard drives.>>> Tim>>>>>> _______________________________________________>> Fractint mailing list>> Fractint(a)mailman.xmission.com>> https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint>> -->> -David>> David W Ricciodavid(a)lemoncreekdigital.com> Lemon Creek Digital> (907) 780-6122> www.lemoncreekdigital.com -- David W. Jonesgnome(a)hawaii.rr.comauthenticity, honesty, communityhttp://dancingtreefrog.com ------------------------------ Message: 4Date: Sat, 07 Jun 2014 12:26:27 -0800From: David W Riccio <lcd-master(a)lemoncreekdigital.com>To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com>Subject: Re: [Fractint] Fractint under FREEDOS from USB driveMessage-ID: <53937573.5020800(a)lemoncreekdigital.com>Content-Type: text/plain; charset=ISO-8859-1; format=flowed Yes, that is the config I am running, give the DOS VM a core for it's own and let it use 100% ... even on a Core2 this does not really impact your ability to do other things while the Fractal Machine is running. On a 4Core machine I have run 3 copies of the VM with not much impact to the host. This will work with FreeDOS VM and Microsoft DOS VMs, It will also run under a WinXP VM, and a Win98 VM. The most stable platform for the VMs with the least problems seems to be Mint 16 (about March, 2014 vintage + patches)...But all the Debian variation seem to work OK ... Use the Virtual Box that is in the standard software library (I have had problems using the latest versions on the Oracle site, there are issues with compatible libraries, etc) Moving images from the Dos VM Hard Drive can be an issue ... you need to setup a shared drive and networking under DOS ... FreeDOS has tools for this, also MS DOS has access to Microsoft's Networking tools. But it can be a pain to get everything talking. The Oracle extensions will work under WinXP and let the WinXP machine share a drive space with the host. -David On 06/07/2014 12:08 PM, david wrote:> Hmm, never tried FreeDOS under a VM. On a multicore processor, you > could give the FreeDOS VM one core to itself. That should minimize > impact on anything else the system is doing.>> On 06/07/2014 10:05 AM, David W Riccio wrote:>> FreeDOS will run on a 64bit Core2 Intel (I have tested on a Dell 755,>> Dell 760, and a Dell 780)>> (installed on hard drive and also from USB drive)>>>> FreeDOS will also run in a Virtual Machine (I have tested on Oracle>> Virtual Box, under Ubuntu 12 / 13 and under Mint 15 / 16 and under>> Fedora 17 / 18 / 19 / 20) ... you have control of how much processor>> time you give the virtual machine and how much memory.>>>> On 06/07/2014 03:10 AM, sciwise(a)ihug.co.nz wrote:>>>>>> As I speak I'm using Ubuntu 14.04 , from a 16GB>>>>>> USB ROM Stick .>>>>>> There's a menu option , at boot up , to go to either Ubuntu, the>>> default , or Windows .>>>>>> To try out FreeDos as you recommend , I'd need>>>>>> to obtain another USB Stick .>>>>>> Another possibility , though possibly slower ,>>>>>> use Wine with Ubuntu to run Fractint .>>>>>> Will FreeDOS run on 64 bit machines ?>>>>>> On 05/03/2014 09:47, Timothy Wegner wrote:>>>>>>> This is just a preliminary report, but I think I have found a>>>> solution for running the DOS fractint that will work for a lot of>>>> people, and one that the Fractint team (such as it is) might be able>>>> to support. This makes it possible to run the DOS fractint on modern>>>> combuters.>>>> The hardware requirements are:>>>> 1. Bios that permits booting from a USB drive>>>> 2. Graphics with decent VESA video mode support.>>>> I bought a bunch of Sandisk Cruzer Fit 8 gb USB drives. These are>>>> physically almost too small, they are not much larger than the USB>>>> connector itself. I have seen some complaints that some software>>>> recognizes them as fixed drives and won't format them. This actually>>>> worked to my advantage, because the Award BIOS of my XP machine>>>> treated it as a hard drive and let me select the Cruzer Fit to boot >>>> from.>>>> There's a terrific free tool called rufus available here:>>>> http://rufus.akeo.ie/>>>> that runs under Windows (in my case Windows 8.1 64 bit) and can>>>> format the USB drive to boot to DOS. I used FreeDOS, but you can use>>>> just about any DOS instead. I like using FreeDOS because the default>>>> installation seems to do what Fractint needs with extended memory>>>> etc. I will verify that this is right.>>>> Then I dumped the entire fractint distribution on the USB, with the>>>> single difference that I used a fractint.cfg generated by makecfg.exe>>>> with the VESA modes for my XP machine.>>>> When I ran Fractint, every VESA mode worked, even modes that exceeded>>>> the native resolution of my cheap secondary LCD monitor. The problems>>>> using higher resolution modes on the same computer under Windows XP>>>> vanished.>>>> On a related note, I am thinking about putting up a wiki at>>>> fractint.net/.org <http://fractint.net/.org>. We could put up>>>> instructions like this, par files, images, etc. I wouldn't want to>>>> pre-empt others that have fractal sites, but the idea is just to>>>> provide more information that would help folks use this ancient DOS>>>> program.>>>> I would like to hear from anyone else who has used a>>>> DOS-from-usb-drive environment to run Fractint. One could literally>>>> have a DOS fractint environment booting from on a machine with no>>>> hard drives.>>>> Tim>>>>>>>>> _______________________________________________>>> Fractint mailing list>>> Fractint(a)mailman.xmission.com>>> https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint>>>> -- >>>> -David>>>> David W Ricciodavid(a)lemoncreekdigital.com>> Lemon Creek Digital>> (907) 780-6122>> www.lemoncreekdigital.com>> -- -David David W Riccio david(a)lemoncreekdigital.comLemon Creek Digital(907) 780-6122www.lemoncreekdigital.com ------------------------------ Subject: Digest Footer _______________________________________________Fractint mailing listFractint@mailman.xmission.comhttps://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ------------------------------ End of Fractint Digest, Vol 136, Issue 2****************************************

1 0

More random fractals
by Jim Muth 05 Jun '14

05 Jun '14

Fractal visionaries and enthusiasts: Here are ten more random fractals to fill in the space until the FOTD resumes. The quality varies, but every one is now making its one and only appearance in the so-called 'real' world. 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time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-4.154493080993856/+4.037784911850125/\ 5.678758e+009/1/-27.5/0 params=-11/1000000000/100/0 float=y maxiter=600 inside=0 logmap=50 periodicity=6 mathtolerance=0.05/1 colors=0000IK0JODL_1P_0VR0MI0B90B9086054022j9vI6b9\ 3JrfKuP0i07Z0EN0L00SL0KU0CwuzwmzryuptzpwznwzXhrTdq\ P`qLXpIToEPoA0n7HnHM`QRNZVAV`MSeXPjgMorCZh2I_GKRUM\ IgO9ER`Ks3Lf4MV5MJ5GE3B92B69541dLTKAEgbJTQCED60`q0\ IRFX0bkZT_QJOH9C85E_39O14CjzRZjKNVDBF6_7L0Sj0ENjd9\ NK4p3JZ2CH16qnrtaBSJ5btKQaDDJ6zq0e_0LI0w2oc1YK0HJy\ f9VL8XTcNedNedNddOddOdePdePcePceQceQbfRbfRbfRbfSaf\ SagTagT`gT`gU`hU`hV_hV_hV_hWZiWZiXZiXZiXYjYYjYYjZX\ jZXjZXk_Xk_Wk`Wk`Wk`VlaVlaVlbVlbUmbUmcUmcTmdTmdTnd\ TneSneSnfSnfRofRogRogRohQphQphQpiPpiPpjPqjPqjOqkOq\ kOrjNqkOqkOqkOqkOqkOqkOqlOqlOqlOqlOqlOqlOqmOqmOpmO\ pmOpmOpmOpnOpnOpnOpnOpnOpnOpoOpoOpoOpoOpoOooOopOop\ OopOopOopOopOopOoqOoqOoqOoqOoqOoqOorOnrOnrOnrOnrOn\ rOnsOnsOnsOnsOnsOnsOntOntOntOntOmtOmtOmuOmuOmuOmuO\ muOmuOmvOmvOmvOmvOmvOmvOpuQmvOjwNgxMczJdyLexMfwOfv\ PgvRhuShtUisVjsXjrYkqZlp` } 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 } frm:FinDivJulibrot-2 {; draws slices of FinDivBrot-2 Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(bb)*(z*z*fn1(z^(aa)+bb))+c |z|< 1000000 } 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=========================================

1 0

AOTD 6/1/14
by JackOfTradeZ＠comcast.net 01 Jun '14

01 Jun '14

. Animation of FOTD 5/9/14 "Krakatoa" is posted: http://www.fractal-animation.net/vid/embryo.wmv 640x480, 69sec, 21MEG Loox like an alien seed pod sprouts and grows and psychedelic morphs into a "fire-baboon" face staring back at you! Enjoy! JoTz .

3 2

44 more images on my Jan, 2014 page; Bigger text; Thumbnail images
by Hal Lane 31 May '14

31 May '14

I added links to 44 more of Jim's images (and my variations) (Jan. 18-27) Thanks for navigating to my January, 2014 page through my home page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html I'll try to continue putting up a few links to images I've previously calculated every other day or so -- and I'll stop posting the availability of each batch of new images. Sebastien Helie suggested that I make the names that Jim gave his FOTDs be in a bigger font on my pages, and I'm trying that out in my January, 2014 page. It helps the FOTD names stand out from the sea of text on my page. It would be nice to have thumbnail images on my pages instead of bare links, but my current graphics program can't do that for batches of images, so I'd have to create them individually. I'll try calculating some of Jim's "random fractals" he posted the parameter sets for on May 28th. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

3 2

I added the links to 18 more of Jim's (and my variations)...
by Hal Lane 29 May '14

29 May '14

I added the links to 18 more of Jim's (and my variations) (Jan. 28-31) on my January, 2014 page. Thanks for navigating to my January, 2014 page through my home page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

1 0

A few random fractals
by Jim Muth 28 May '14

28 May '14

Fractal visionaries and enthusiasts: Even though I am not currently writing and posting the almost- daily FOTD, I am still searching for fractals. Here are a few random fractals I have found in the past week or so. They might or might not be up to FOTD standards. BTW, I think this is the first time I have posted parameter files that use the FinDivJulibrot-2 formula. START PARAMETER FILE======================================= fr001 { ; time=0:00:12.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.77348612707933/0/2.025316e+009 params=3/3/0/0 float=y maxiter=750 inside=0 symmetry=xaxis periodicity=6 colors=000D0cGXcJZbNZbQZ`0wbNzSOwWwnXSmZgz0cz0bz0z\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzezzezzezzzzz\ zzzezzzzzzzzzzzzzzzzzzzzzzzzzzzzzAAWAAV9AU8AT75S65\ R55Q45P35O25N15M05L05J04H03E02C01900500000089KJIUW\ QvgmztzzzzzzzzzuzzpzzlmzgczbUzZLzUDzOBzL8zG6zB3z82\ z00z00z00z00iX0bb0Wg0iz0kz0mz0oz0qz0sz0uz0wz0wzywz\ uwzrwznwzjzzgzzczzczzbzzbzz`zz`zzgzAzAAYAAXOj0Ip0B\ u05z00z00z00z00z00z00z03z0Bz0Iz0Qz3Zz8gzDpzIwzLizU\ WwbIpj5it0bz3jzDrz9ly8it6en5`i3Xc2UZ0QU0LO0IJ0EE0B\ 90650300000000200605909E0GI0NN2SQ3BOQ0Nn0Nz0Qz0Up0\ We0ZW0`N0cD0g30i00l00n09l0Jj0Ui0cg0ne0yc5zb9zbDzeI\ ziLzjOznSzrWztZzwbzzezzizzlzzp00z26z6EwBLrGUjLbeQi\ `ZpeguinzlwzzzzzzwzzszqozlkgegcWcXMSSGIN9CI29D0980\ D90OB0WD0aE2dI8fLEiNLjQSlSUmWXnX`o`cqbgtemzgrzmszz\ zzzcZzwEzcAlXSUbQWiOXy0Lr0Ol0Qg6UbGWXQZz08n8N5ziDz\ eLjbt00l50gD2bJDXSO6Wg9ee } fr002 { ; time=0:18:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=t center-mag=-1.404387338250087/+0.00004290682961021\ /4.575941e+007/1/-30/0 params=-0.5/-200000/0/0 float=y maxiter=75000 inside=0 logmap=528 symmetry=none periodicity=6 colors=0000Oc9DiL6nY0rl0yi0wg0we0uc4ua9r_FrYLpWPpU\ WpRanPgnOllLrlJyiHzi9znHziOzgUuc_laeeYlYWrRRyJPzDO\ zHLyJJwOHuPFrUDpWBn_9la8pe8ic6ea4a_2YY0RW0OU0JR0FP\ 0BP09U08Y68a96eF6iJ4nP2rW2w_0ze0zi0zp0zu4rn9_iFHeL\ 0aR0YW0U_0aa4icOrgizizzlzzgzzezncn_aaOYPBWD0U20R00\ P00P00O00O24L4BL6HJ8PJ9YHBcHDlFFuFHzOLzUPz_RzeWzlY\ zrazyezzgzzlzznzzpzzryzulzwazp9zwRzzczzgzwizrlznpz\ grzcuz_wzWzzRzwLzuHzrDzp9zu0zn6zg9zcDzYHzULyOPuJUp\ DYn9ai4ee0ia0nY0rU0wP0zO0yJDyFUwBlw8zu4zu2zg0zY0wO\ 0pD0lD0i40g00e06z0ec0B2004004004406926F86LD8RJ8YP8\ cW9ia9pg9wn9zu6zp4yl2wi0ue0ra0r_0pW0nR0lP0iL0gH0gF\ 0Y90P62H2890D20L00R00Y00c00i00e00c00a00_00Y00W06U0\ BR0Hi4FP4L64P04U08Y09_0Ba4Dc8FgDHiHJlLLnPPrURu_Uwc\ WygYzl_zpazuczlYzeRyYLuRHpLBlD6e82a00Y00U00P00W84a\ HBeRLl_UpiawulzzuzzzzzzzzlzrYzgHzY4zyROzp0za0zO0RO\ nFRi6Ye0aa0gY0lU0pP0eW0W_ } fr003 { ; 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time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivJulibrot-2 function=recip center-mag=-0.00382837982742291/+0.000052728653181\ 72/671.3282/1.3703/180 params=0/0/90/0/-1.2262/\ -0.0155/-1.2262/-0.0155/3.3/-33 float=y maxiter=2700 inside=0 symmetry=none periodicity=0 colors=000M82Q82T82W82fKSqWpoXomYnkZmiZlh_kf`jd`ib\ ChaLg_SfYWeW_dVbdNg`GlY9pV2tSBfNJTJSFF_2BcDGgNKjXP\ nfTrpYuzatubtqbsmbsibsebr`brXbqTbqPbqLbjQZdVWZ_TTd\ QMiNGnKAsH4wEBrFHmGOhHUdH__IfVJlQKrMKlKLgJLaHLXGLS\ FLMDLHCLCBLHBMMBOQBPNGTKLWHP_EUbCYeGW`KUWOSSSQNWOI\ ZMEaOHdPJgQMjSOmTRpUTnWQlXOkYLiZJg`GfaEdbBcc9Za8V`\ 7R_6MY5IX4EW4KT8QQCVOFZPJbQMfRPjRSnSVrTYvT`tVYsXVr\ ZTq`QpbOodLneJfaI_YHTUHMQGFMF8IFCOLGURKZXOdbSjhVom\ RldOiWLfNIcEFa6Hd5Jf5Lh4Nj4OiAPhGQhMQgSRgYSfcSfhbl\ flrddeiYTmaVobThbRbcPWcNQaQN`TK_VHZYFY`CXb9We6Vg4W\ PVW6tY9mZCf`E_aHUcKNdMGfP9gR3kP6nO9rNCuMFpWMkdTfm_\ aveXsaSpZNnWQg`S`dVVhXOm_IqaBuc5yaAw`Eu_IsYMrXQpWU\ nVYmG6DKHEOSERbEXYIbTMgPQmKUrGYsBVt7Tt3RkAQcHQWOPO\ UPG`O8gO0mO9kRHiUPhXXfZdealcdtbfgjYWrQcdVkRZsDcz0g\ zPOzm5pd9fWDXOHNFLE7OD8SD8VD9ZCAaCBeCChBDlBEoBErEH\ oHKlKMiNPfQRcTU`WXYZZWaaT } 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 } frm:FinDivJulibrot-2 {; draws slices of FinDivBrot-2 Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=(bb)*(z*z*fn1(z^(aa)+bb))+c |z|< 1000000 } frm:FinDivBrot-2J { ; Jim Muth z=pixel, c=(p3), 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] Animation End
by Hal Lane 27 May '14

27 May '14

> fractal ghost-demon That's quite a compelling face on that creature, JoTz! Animation should be great! - Hal Lane ######################## # hallane(a)earthlink.net ######################## =========================================== Author: JackOfTradeZ Date: 2014-05-27 01:02 -400 To: fractint Subject: [Fractint] Animation End . Does this look like a fractal ghost-demon (werewolf?) staring back at you from the fractal mist? http://www.fractal-animation.net/p1_end.gif It is the end image of the soon-to-be-posted animation of the May 9th FOTD "krakatoa". Stay tuned. JoTz =========================================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Mailman.xmission.com down?
by david 27 May '14

27 May '14

Sent a mail and it tells me Action failed: Status 5.0.0. -- David W. Jones gnome(a)hawaii.rr.com authenticity, honesty, community http://dancingtreefrog.com

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Animation End
by JackOfTradeZ＠comcast.net 27 May '14

27 May '14

. Does this look like a fractal ghost-demon (werewolf?) staring back at you from the fractal mist? http://www.fractal-animation.net/p1_end.gif It is the end image of the soon-to-be-posted animation of the May 9th FOTD "krakatoa". Stay tuned. JoTz .

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Where is the FOTD?
by Jim Muth 26 May '14

26 May '14

Fractal visionaries and enthusiasts: Some of you might be wondering about the lack of FOTD fractals over the past week. The reason is simple -- a lack of time. The things that need to be done here at Fractal Central have been falling behind over the past few years, and have reached a point where they cannot be put off any longer. This does not mean I have ended the FOTD. In fact, I am still searching for and finding fractal images, some of which I will post to the list while we are busy working on the unfinished chores here at FC. But I will not write the usual fractal discussions until the work around FC has been taken care of to both my own and FL's satisfaction. Jim Muth

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I've added links to 25 more images on my Feb. 2014 page.
by Hal Lane 24 May '14

24 May '14

While we're looking for new fractals from Jim, I've added links to 25 more images -- I had previously calculated -- to my February, 2014 web page, which is now complete. As usual, these images (from February 2nd - 5th) are a mix of larger versions of Jim's FOTDs, variations of mine on the parent fractal and zooms into Jim's FOTD. Please be so kind as to use the // February, 2014 // link on my home page to maintain my counters. Thank you. http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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While we're waiting for some new fractals from Jim...
by Hal Lane 23 May '14

23 May '14

While we're waiting for some new fractals from Jim, I've added links to 35 older images I had previoiusly calculated to my February, 2014 web page. As usual, these images (from February 6th - 11th) are a mix of larger versions of Jim's FOTDs and variations of mine. Please be so kind as to use the // February, 2014 // link on my home page to maintain my counters. Thanks. http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 18-05-14 (Three-Cornered Fractal [A-6,M-5])
by Jim Muth 18 May '14

18 May '14

FOTD -- May 18, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image lies on the main spike of the same parent fractal that held yesterday's FOTD image. I named it "Three-Cornered Fractal" because at its magnitude of over 2*(10^11) it is of a totally cubic nature. The maxiter of 2750 is too low to fully resolve the minibrot at the center. A maxiter of around 3600 would be needed to bring full resolution, but it would also change the coloring, so I let the image keep its too-low maxiter of 2750. With nothing really spectacular in the image and no new math involved, I could only give it an art rating of an acceptable 6 and a math rating of an average 5. The calculation time of 2 minutes will cause little impatience. It's about the same time required to view the image on the web sites. 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> Today turned out to be too cloudy and chilly for the middle of May here at Fractal Central. The fractal cats checked the afternoon temperature, and when they found it to be only 61F 16C, decided to ask for food. The humans took it easy while they continued to wonder why so many trivial events become big un-exciting news. The next FOTD will be posted in the proper time. Until then, take care, and I heard on a recent TV show about the Higgs boson that a fractal structure might lie behind the so-called *elementary* particles, such as quarks and electrons, which of course are not *particles* at all. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= 3-Cornered_Fractal { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip logmap=620 center-mag=-1.706936322542472/0/2.388209e+011/1/180 params=3/3/0/0 float=y maxiter=2750 inside=0 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=000AAWAAV9AU8AT7AS69R58Q47P36O25N14M03L02J0\ 1H00E00C009005000020890JIUWQcgmztzzzzzzzzzuzzpzzlm\ zgczbUzZLzUDzOBzL8zG6zB3z82zD0zI0wN0pS0iX0bb0Wg0wz\ lwzjwzgwzewzbwz0wz0wzIwzywzuwzrwznwzjzzgzzczzczzbz\ zbzz`zz`zzgzAzAAYAAXOj0Ip0Bu05z00z00z00z00z00z00z0\ 3z0Bz0Iz0Qz3Zz8gzDpzIwzLizUWwbIpj5it0bz3jzDrz9ly8i\ t6en5`i3Xc2UZ0QU0LO0IJ0EE0B90650300000000200605909\ E0GI0NN2SQ3BOQ0Nn0Nz0Qz0Up0We0ZW0`N0cD0g30i00l00n0\ 9l0Jj0Ui0cg0ne0yc5zb9zbDzeIziLzjOznSzrWztZzwbzzezz\ izzlzzp00z26z6EwBLrGUjLbeQi`Zpeguinzlwzzzzzzwzzszq\ ozlkgegcWcXMSSGIN9CI29D0980D90OB0WD0aE2dI8fLEiNLjQ\ SlSUmWXnX`o`cqbgtemzgrzmszzzzzcZzwEzcAlXSUbQWiOXy0\ Lr0Ol0Qg6UbGWXQZz08n8N5ziDzeLjbt00l50gD2bJDXSO6Wg9\ eeD0cGXcJZbNZbQZ`0wbNzSOwWwnXSmZgz0cz0bz0zzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzezzezzezzzzzzzzezzzz\ 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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FOTD 16-05-14 (Bud Menagerie [A-4,M-8])
by Jim Muth 17 May '14

17 May '14

FOTD -- May 16, 2014 (Rating A-4,M-8) Fractal visionaries and enthusiasts: With its rating of a 4, the art aspect of today's image makes little impact, but its math rating of an 8 gives near full compensation. The image shows perhaps the most convoluted bud I have yet come upon. This bud appears to have cubic tendencies in much of its nooks and crannies, while other areas appear almost quadratic. The name "Bud Menagerie" refers to this zigzagging bud. The parent fractal is a classic Mandelbrot set caught morphing into a cubic Mandeloid. The most obvious feature is Seahorse Valley, which has joined its two branches into a kind of narrow bridge with a large diamond shaped area of chaos at the center. Today's image lies within this diamond. In addition, the main stem of the parent has spread out into a broad area of intricate detail, with several large minibrots centered along the ill-defined negative X-axis. I may check these minibrots in a future FOTD. The image calculates in a measly 1-1/2 minutes, so seeing its glories will demand little sacrifice. Checking the image on the web sites will remove any remaining sacrifice. The finished image is posted 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> Heavy overnight rain ended by late morning here at Fractal Central today, followed by a cloudy afternoon with a temperature of 64F 18C. The fractal cats approved of the temperature but were disappointed by the lack of sun. The fractal humans simply made it through the day without a notable event happening. The next FOTD will be posted in two days on May 18. Until then, take care, and the only sure way to end racism is to stop giving it so much attention in the media. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Bud_Menagerie { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=t center-mag=-0.24168893/+0.00468962/1052/1/92.5/0 params=3/3/0/0 float=y maxiter=3600 inside=0 logmap=14 periodicity=6 colors=000`00Y00V00S00P00N00K02H02F02C049047074272\ 770B97GX9KXBOXBOXDIrDKrGMrGOrGGzIIzIKzIMzKRzKTzMVz\ MXzMZzOazOczOezIxz4zzBzzIzzOtzVkzaezgZznRztKzzDzz4\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz7zzDzzKzzOzvVztazp\ gzkkzgrzcxzZzzVzzRzzMzzIzzBzzGzzIzzMzzOzzTzzVzzZzz\ azzezzgzzkxznvzrrztpzxkzzjzzezzgzzczzazzXzzVzvRxtO\ trMrrInrGkrBgr9er4ar2Zr0Vr0Tr0Or0Mr0Ir0Gr0Kr0Or0Tr\ 0Xr0ar0et0jz0kz0pz0tz0xz0zz0zz0zz0zz0zz0zz0zzBzzMz\ zVzzczxeznrzerzVrxKrpBrg0rZ0rR0rK0rI0rG0rD0rD0rB4r\ 99r7Dr7Ir4Mr2Tr0Xr0ar0er0jr0nr0tr0xr0zr0zr0zr0zr0z\ t0zv0zx0zz0zz0zzBzzjzzezzazzXzzTzzOzzKzzGzzBzz7zz2\ zz0zz0zz7zzGzzOzzZzzgzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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FOTD 15-05-14 (Encore [A-8,M-7])
by Jim Muth 15 May '14

15 May '14

FOTD -- May 15, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image is a near repeat of an earlier FOTD image, which is why I named it "Encore". The rather unusual parent fractal resembles a Mandelbrot set being squashed inside a shrinking ring. Today's scene lies in the spurious detail that fills East Valley of this M-set. The effect of a minibrot illuminating its surroundings was achieved by coloring the 'inside' brilliant white and rendering the scene with the 'outside' set to 'fmod'. The calculation time of 50 seconds is quite fast, leaving little time to ponder the fractal mysteries. Checking the web sites will be equally fast, leaving the mysteries unsolved. So check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the glorious variations 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> and forget the mysteries. Heavy clouds prevailed here at Fractal Central today, but it remained dry, while a few breaks of sun kept the fractal cats from feeling too glum. The temperature of 79F 26C brought few complaints from either the cats or humans. The next FOTD will be posted in the near future. Until then, take care, and if we really wanted to fight climate change, we would stop pushing meaningless politically-driven steps that could do nothing more than make us feel better while the planet continues to grow hotter. If we were really serious, which we apparently are not, we would abandon the use of motor vehicles and airplanes powered by energy derived from fossil fuels, and drastically curb the use of electricity to power our homes and factories until the time comes (if ever) when we can generate reliable power from nuclear fusion. If we cry that these steps would be too harsh and would wreck the economy, as they probably would, then let's suck it up, pack away our protest signs, admit defeat and prepare for the immense problems soon to come. Wind and solar energy will never come close to replacing coal, oil and natural gas. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Encore { ; time=0:00:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=+0.2774982732/0/554762 params=-100/-100\ /-14.75/0 maxiter=3600 inside=255 proximity=0.08 outside=fmod symmetry=xaxis periodicity=6 colors=000HOPHOPHPPHPOHQOHROHROHSNHSNHTNMLSMLSLMRL\ MRLMRKMQKNQKNQKNPJNPJOOJOOJOOIONIONIPNIPMHPMHPLHPL\ zzzzzzzzzzzzzzzyzzwzzuzzszvrzrqzmpzhozcmyZkxViwRgv\ RfvReuSduSctSbtTasT`sT_rUZrUYqUXqVWpVVpVUoVUoWUnWU\ mWUmXUlXUlXUkYVkYVjYVjZViZViZVhZVh_Vg_Wg_Wf`Wf`We`\ WeaWdaWcaWcbXbbXbbXabXacX`cX`cX_cX_cYZcYZcYYcYYcYX\ cYXcYXcYWcYXcXXbXX_WXZWXYVXXVWWUWVUWUTWTTWSSWRSWQR\ VPRVOQVNQVMQVLRVKSUKTUKUUKUUKUUKUUKUUKVUKVUKUUKUUK\ UUKUUKUUKTUKTULTUMTVNTVOSWPSWPSXQSYRSYSRZTRZUR_VR_\ VR`WQ`XQaYQbZQb_Qc`PcaPdaPdbPecPedOfeOgfOggOhgOhhN\ iiNijNjkNjlNkmMlnLjmKglJdkIbjH_iGXgFVfESeCPdBMcAKb\ 9H`8E_7DZ6CY5BX3AW59V58U57U66T66S06R06Q06O06N06M06\ L06K06J06I06H06G05F04E03D02C01B00A0090080070060050\ 04003002001000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000rzz } 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 13-05-14 (Maximum Festivity [A-7,M-7])
by Jim Muth 13 May '14

13 May '14

FOTD -- May 13, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image came about when I combined negative (1/Z) with negative (Z) and added (1/C) on each iteration. This expression has two critical values, +2 and zero. Both critical values produce similar fractals, which are oriented 180 degrees apart. Both parent fractals resemble the east parts of Mandelbrot sets with the main bud and spike cut off by flat disks. Today's scene lies in the chaos along the northern edge of the parent that results when Z is initialized to the critical value of zero by setting real(p4) to -2. I named the image "Maximum Festivity" because of the riot of overly brilliant colors, which were mostly produced by rendering the image with the 'outside' set to 'tdis'. In fact, these garish colors hold down the art rating to an unexceptional 7. The math rates a 7 also, mostly because of the non-zero setting of the real(p4) parameter. The image takes a solid 2-1/2 minutes to finish, not so bad as fractals go, but even more time can be saved by checking the web sites. The finished image is online 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> Today brought a mix of clouds and sun, and a temperature of 90F 32C, to Fractal Central. The fractal cats thought it was a little too warm for comfort, while the fractal humans thought it was just right. The next FOTD will be posted in a day or two, or possibly three. Until the next FOTD appears, take care, and don't be misled by conservative deniers of climate change, (aka global warming). The world-wide weather records show that it is a fact. And at the same time don't get caught up in the progressive frenzy to pass new legislation in the name of fighting climate change. Since the climate doesn't obey man-made laws, passing new laws would amount to nothing more than feeling good while satisfying various political and economic agendas. With our current lack of technology, hedonistic life style, and so many nations developing, there is nothing we would be willing or able to do that would stop or even slow the warm-up. It would be far better not to economically cripple ourselves and to use our resources to prepare for the challenges of the warmer planet to come. Jim (Captain Negative) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Maximum_Festivity { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.3041584081700229/+0.1763178398559197\ /142961/1/-65/0 params=-1/-1/-1/1/0/0/-2/0 float=y maxiter=3600 inside=0 outside=tdis periodicity=6 colors=000UzzH0zM4zS9z_CzeHzjMzrSzxYzzbzzgzzmzzrzz\ xzzzzzuzzprzjjxebp_UgUM_PHPK9HE1990040000000000000\ 0000000000000100400600900C00C00E00H00K00M00P00S11U\ 44Y64_96bC6bE9eHCgKCjMEmPHpSHrUKuYMxYMz_PzbPzeSzgU\ zjUzmYzp_zr_zubzxezzezzgzzjzzgzzgzzezzezzbzzbzz_zx\ _zu_zuYzrYzpUzpUxmSujSrjSpgPjePgeMebMb_K__KYYHUUHS\ UHMSEKPEHPCEMCCK99K96H00640C94HH6MMCSUHY_KbgUgmamu\ frzmxzszzzzzuzzpzzgzmYu_UpKKj6Ab00Y00S00M00P00P00S\ 00S00S00U00U00U00Y00Y00Y00_00_00_00b00b00b00e00e00\ e00g00g00g00j00j00j00m00m00m00p00p00p00r00r00u00u0\ 0u00x00x00x00z00z00z00z00z00z00z00z00z00z01z01z04z\ 04z04z06z06z06z09z09z09z0Cz0Cz0Cz0Kz0Sz1_z9gzHpzKz\ zMzzPxzPxzSuzSrzUrzUpzYmz_mz_jzbgzbgzeezebzgbzj_zj\ _xmYxmUxpUxpSxrPxrPuuMuxKuxKuzHuzEuzYrzmrzqrzzzzfr\ zUpz4pc1pz0KzQ0zmpzmmz0mz0mz0mz0mz0mz0jz0j00z00z00\ z00z00z00z00z00z00z40z90z } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 10-05-14 (Depths of the East [A-8,M-8])
by Jim Muth 12 May '14

12 May '14

FOTD -- May 10, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's image lies deep in the East Valley of a tiny minibrot far out near the tip of the main spike of the Mandelbrot set. The art rating of an 8 is a result of my brief but serendipitous coloring work. The math also rates an 8, thanks to the unexpected details, which are due to the nearness of the escape cut-off point. The image is merely a stop on the way to the final destination of the central minibrot. But sometimes, even as in real life trips, the scenery passed on the way is more rewarding than the scene found at the final destination. Those who would like to see the actual minibrot hiding at the center of the image will have to decide for themselves if the goal was worth the effort of the trip. I named the image "Depths of the East" because the scene lies in the East Valley of a larger but still infinitesimal minibrot. The normal calculation time of 10 minutes has been cut in half to 5 minutes because the image is centered on the X-axis and takes advantage of X-axis symmetry. The finished image is posted for widespread critique 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> Today brought lots of clouds and light rain showers to Fractal Central. The temperature of 79F 26C pleased the fractal cats, especially Jasmine, who spent much of the time chattering at the birds flying around the yard. The fractal humans had a typical day, which means nothing happened that was worth mentioning. The next FOTD will be posted in a day or two. Until then, take care, and why am I here and not over there? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Depths_of_the_East { ; time=0:05:00.00 SF5 at 2000MHZ reset=2004 type=mandel float=y center-mag=-1.99999\ 91175872020592922720221759/0/1.77e+027 params=0/0 maxiter=5000 bailout=4 symmetry=xaxis periodicity=6 colors=000yzfwxdzubtr`zocrkXpfVoaTnXSlSQkNOiJMhFKg\ BIe7Gd3EK0DW5EP9EAPK0UO3Rc0RG5OI6PJ7QL7RM8SO9YQAUR\ AVTBWUCXWDYYEZZE``FaaGbcHceHdfIehJfiKgkLhmVWKYZM`a\ ObdRegThjVklXnpZqtdtznzzz000kHimJkoKmqLosMquNsvOtt\ MprKlpIhnGdlE`jCXhBTf9Pd7Lb5H`3DZ19X05WEGWRQWd`Wqj\ N0kO4fO7aOBYPETVi`_jXdjTdbRdWQdPPaLO_HOYEOVANT6NR3\ NNDJKNGHXCEf9Bp58y2Ph8dTEtDKciibswfonjleniYrfPvcGy\ `86BB5GC5LD4QE4VF4_G8YDCWBFV9JT7MS5QQ3TP1VU6WYBXaF\ YfKZjP_nTaoXdp`fpcgMeTMTNISHESwKomIjcGeUE`KCWe8U`9\ UW9TQATLASGASa6xO8gNDNRuYWuf_uoVumRulNukJujFuhBug7\ uf3ueChXLXOULFa97bJIcTTdbbelmeuwhrnjofllZoiRqfJsdB\ nURiJfe9umCutEuoJjjO`eTRaYHdSKfNMhIOkDQm8So3UhDPbM\ LWWHQdDJn9Dw5CoABgFA`K9TP8MU7EZ67b78_gF1bE6XDASCFM\ BJGAOnleXcGTHoQGkNFgKDcHC_EBWwK0hIG`GJSEMJCPcU1KK8\ FFF000N67H8IwnJAAK`QMOIPCXbCU`CQ_BNYBJWBGVBDTVSRFp\ mFkjEehE`eDVbCQ_CKXBFUEDo } END PARAMETER FILE=========================================

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FOTD 11-05-14 (Center of Attention [A-8,M-6])
by Jim Muth 12 May '14

12 May '14

FOTD -- May 11, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image is kind of an extra one. It is a repeat of yesterday's scene, but at a magnitude great enough to reveal the minibrot hidden at the center. The color palette is virtually the same, with only a few registers having been tweaked. The art rates an 8, the math, a 6. The name "Center of Attention" refers to the minibrot. The calculation time of 8-1/3 minutes is bearable but still demands a bit of fractal dedication. Here is where the web sites do their thing. Total relief from calculation drudgery awaits 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> where the finished image is posted. Totally perfect conditions prevailed this mother's day here at Fractal Central. The blue sky was decorated with angel-hair cirrus and cotton-puff cumulus clouds, the wind was light and the temperature reached a fractal cat pleasing 81F 27C. The cats showed their pleasure by spending most of the day in the windows, watching the world go by. The fractal humans, with no mothers to honor, spent the entire afternoon browsing an antique emporium south of the Mason-Dixon line. The next FOTD will be posted in the appropriate time. Until whenever that is, take care, and if God exists outside the universe and actually does work physical miracles, then the universe is not a closed system, and the law of cause and effect goes kaput. When this happens, the entire discipline of science goes back to the drawing board. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Center_of_Atention { ; time=0:08:20.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-1.9999991175872\ 020592922720221785261/0/3.3e+030 params=0/0 float=y maxiter=5000 inside=0 symmetry=xaxis periodicity=6 colors=000IehJfiKgkLhmVWKYZM`aObdRegThjVklXnpZqtdt\ znzzz000kHimJkoKmqLosMquNsvOttMprKlpIhnGdlE`jCXhBT\ f9Pd7Lb5H`3DZ19X05WEGWRQWd`WqjN0kO4fO7aOBYPETVi`_j\ XdjTdbRdWQdPPaLO_HOYEOVANT6NR3NNDJKNGHXCEf9Bp58y2P\ h8dTEtDKciibswfonjleniYrfPvcGy`86BB5GC5LD4QE4VF4_G\ 8YDCWBFV9JT7MS5QQ3TP1VU6WYBXaFYfKZjP_nTaoXdp`fpcgM\ eTMTNISHESwKomIjcGeUE`KCWe8U`9UW9TQATLASGASa6xO8gN\ DNRuYWuf_uoVumRulNukJujFuhBug7uf3ueChXLXOULFa97bJI\ cTTdbbelmeuwhrnjofllZoiRqfJsdBnURiJfe9umCutEuoJjjO\ `eTRaYHdSKfNMhIOkDQm8So3UhDPbMLWWHQdDJn9Dw5CoABgFA\ `K9TP8MU7EZ67b78_gF1bE6XDASCFMBJGAOnleXcGTHoQGkNFg\ KDcHC_EBWwK0hIG`GJSEMJCPcU1KK8FFF000N67H8IwnJAAK`Q\ MOIPCXbCU`CQ_BNYBJWBGVBDTVSRFpmFAoEehEAeDVbCA_CAgB\ AgAAryzzwxqzuitrdzocrkXpfVoaTnXSlSQkNOiJMhFKgBIe7G\ d3EK0DW5EP9EAPK0UO3Rc0RG5OI6PJ7QL7RM8SO9YQAURAVTBW\ UCXWDYYEZZE``FaaGbcHceHdf } END PARAMETER FILE=========================================

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KrAkAtOa
by JackOfTradeZ＠comcast.net 10 May '14

10 May '14

. Jim - that's one of the best in a long while! Now trying to determine parameter spread for morph animation. Starting to look way cool; I'll put it to another Bach harpsichord tune, but this one gonna take some time ..... Good things come to those who wait. .

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FOTD 09-05-14 (Krakatoa Eruption [A-9,M-8])
by Jim Muth 09 May '14

09 May '14

FOTD -- May 09, 2014 (Rating A-9,M-8) Fractal visionaries and enthusiasts: Today's image is another of those strange and totally unpredictable things that the MandNewt formulas can produce. The formula, number 14 of the series, is a new one, so be sure to copy it into your formula file. BTW, I have no idea of what these formulas actually do. To me, the image appears to be a volcano in full eruption, complete with the underground magma still rising to the surface. I named it "Krakatoa Eruption" after the most recent super- eruption, which took place on an island between Sumatra and Java late in the 19th Century. My extra coloring effort raises the art rating to a lofty 9. The math rates an 8. If I knew exactly what is going on with the math in the image, the math could also have rated a 9. The calculation time of 2-1/2 minutes will pass in a flash as soon as the top of the fiery cloud above the erupting volcano becomes visible. This time may be cut down by checking the web sites. So be cool! Experience the fiery eruption on the 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> The day began mild enough, but a thick blanket of clouds spoiled the morning hours. The sun finally broke through in the afternoon, which allowed the temperature to reach a very pleasant 75F 24C. With the temperature so mild, the fractal cats were not worried about the lack of sun, and devoted their energies to getting as much food as possible. The humans had another average day. It's not very exciting but it's true. The next FOTD will be posted in a day or two, maybe three. Until whenever, take care, and whatever happened to the threat of the end of the world? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Krakatoa_Eruption { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt14 passes=1 center-mag=-1.9804\ /0/0.3296938/1/-90/0 params=-1.214/-1.207/0.495/\ 0.018/0.246/1.438/5e-031/0 float=y maxiter=500 inside=bof60 logmap=yes periodicity=0 colors=000S4PQ4NO4MN4KL4IK4GH4FG4DF4CD4AC49A48A468\ 45744533431531631631731831931A31A31A41C41C61C71D81\ E91B41B41B41A41941841741641541541651761971C81F91JA\ 1NA1PA1RA1T91X91Y91Z91Z81Z81Z81Z81Z71Z71Z71Z71Z71Z\ 72Z62Z63Z63Z54Z54Z54_54`45a45b46c46c47c47c38c39b39\ b2Aa2Aa2Aa1Ab1Cb1Cc1Cc1Cd1De1Df0Eg0Eh0Fj0Gl0Gm0Ho0\ Hp0Ir0Is0Ku0Kv0Lx0Ly0Rz0Rz0Sz0Sz0Yz0Yz0Vz0az1Zz1Xz\ 3Rz4Qz6Oz8NzAHzAHzCFzEAxG9xI8xK7xM6xO5xQ4xT3xV2xX1\ xa1xe0xi0zm0xj0wf0vb1vY2tS4sP5qM7oP9mTCkWDiYFg_Ge`\ HcaHa`I__IYZKWWLUVLSUMQSNOQNMPOKOOIMPLLQMKQOHSPGSS\ FTTDUVCUWCVZAV_9Wa8Yc7Ye5Zg4_i4_k3`m1`o1ax0`z0az1c\ z4dz6ez8gzAhzCizFkzIlzKozLmzLlzMkzNizNhzOgzOezPdzQ\ cyQaxSawT`vT_uUZtVYsVWrWVqWUqYTpZSpZQp_Po`On`NmaMl\ cLkcKjdIidHheGggFfgEehEdiDciCbkCalA`lA`m9am8coAdpC\ epFgqIgqMesPdsTcsWct_cvcavgawkdxogzskzvmzxpzzszzvz\ zxzzzzzzzzzzzzzzzzzzzzzzz } frm:MandNewt14 {; 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, real(p4) <= |h| } END PARAMETER FILE=========================================

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FOTD 08-05-14 (Something is Wrong [A-6,M-9])
by Jim Muth 08 May '14

08 May '14

FOTD -- May 08, 2014 (Rating A-6,M-9) Fractal visionaries and enthusiasts: Something is indeed wrong with today's scene. This is why I have given the math a rating of 9, while the art rates only a 7 despite my extra work. The math is interesting because the minibrot at the center is clearly quadratic, while the elements in the surrounding pattern are of order-6. As an example of the strangeness, notice the 6 small spirals near the frame edges and the 36 tiny spirals at the next level inward. I have seen this phenomenon several times before, and it appears no more logical today than it did when I stumbled upon it about 12 years ago. But such counter-intuitive things in fractal math are what makes fractals so much fun and has kept me fascinated for over 25 years. By comparison, those who approach fractals with a 'look ma I'm an artist' attitude all too often quickly lose interest. The parent fractal came about when I subtracted 0.35 part of Z^(4) from Z^(3) and added straight C on each iteration. This parent resembles a Mandelbrot set rotated 180 degrees, with large open bays at the end of every filament. The largest bay of all lies at the eastern tip of the main spike. This bay has a large but unstable valley intruding into it, which is very sensitive to changes in the real(p2) parameter. Today's scene lies in this valley, very close to the X-axis. The calculation time of 3 minutes is well within reason, but the viewing can be made even easier by checking the finished image on the web sites. Enjoy life to the fullest. Avoid the calculation hassle by viewing 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> The weather was rather pleasant here at Fractal Central today, with partly cloudy skies, gentle winds and a temperature of 75F 24C. The fractal cats passed the time watching the birds in the yard, while the humans took care of the business department. The next FOTD fractal, for better or worse, will be posted in the near future. Until then, take care, and some of yesterday's supernatural nonsense has become today's scientific wonders. I wonder how much of today's supernatural nonsense will become tomorrow's scientific wonders. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Something_is_Wrong { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.4473682468658692/-0.0008456880636021\ /2e+007/1/-22/0 params=1/3/-0.35/4/0/0/0/0 float=y maxiter=2600 inside=0 logmap=160 periodicity=6 colors=000DqjDqiDqhGqgJqfMqePpdRpcUpaXo__oYanWejVh\ gUkcTn`SmZQlXOkWNkULjSJiRIhPGhOFgMDfKBeJAeH8dF6cE5\ bH3bK2ZO1WS1TW1PZ1Ma1Jc0Ge0Cg09i06k03m0Ao4Gq7MsASu\ D`wHgxKkyNmzQnvVosZppbpmfqljslnulnznnxmmvllukksjkq\ ijpiinhhlghkfgiefhefebdb`b_Z`WW_SUYOPVKMSGJPDGMBEJ\ 9CG7BD6AC79C78D87C86B85A94A93AA2AA1AA0AB69B58B57E7\ 6H85K95SL3ZW1YW6YWBXWGXWKWWPWWUVWYVWbUWgUWkTUhTTfT\ SdSQaSP_SOYSNWRLTRKRRJPQHMQGKQFIQEGTGLWIQYKV`M_bOc\ eQhgSmjUrlVvmXtmZsm`rmbqmdpmfomhnnimnklnmknojnqins\ hnugnvfiq_dmU_hOVdIQ_CLW6HS0MR7QQDVQJZPPcPWgOalOgp\ NmtNsuPquRpvTnvVmwXkwZjx`hxbgxcfr`dlYcfWb`TaVX`PO_\ OMVOLRNJNNBIMGEMFAOJCPNER7GSUITXJV`LWdNYgPZkR_nSi`\ erOspXqndombpm`qm_qmYrmWrmVsmTsmStmTtmUumVumWvmXvm\ YumZum_pmakmcmreowgqziszkuzmwzozzqzzszzuzzwzzxzzyz\ 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 07-05-14 (The Shadow of Doom [A-6,M-8])
by Jim Muth 08 May '14

08 May '14

FOTD -- May 07, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's image shows a minibrot being devoured by a dark shadow encroaching from the right. Shocked by this scene, I named the image "The Shadow of Doom". Actually, the shadow is the advancing edge of a kind of cutoff point set by the ridiculously large value of the imag(p3) parameter, which determines the escape radius. The parent fractal combines 10 negative parts of Z^(-1.1) with one part of Z^(-11) before adding (1/C) on each iteration. This combination produces a very common type of parent fractal, consisting of a north-south string of large bays with a prominent 'fan' extending east from the origin. Today's scene lies well east of this fan, in an area that has been opened up by the immense escape radius. The art rating of a 6 implies that the image is less than totally awesome. The math rating of an 8 shows that encroaching escape radii are rather unusual. The calculation time of 2-1/3 minutes will pass, take my word for it. It will pass even faster when the finished image is viewed on the web sites. The pre-calculated image is posted online 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 during the morning and thickened during the afternoon here at Fractal Central today. The rain arrived in the evening, adding to the fractal cats' annoyance with the temperature of 64F 18C. The fractal humans found their annoyance in the work that refused to co-operate. The next FOTD will be posted in the near future. Until whenever, most likely 24 hours, take care, and some scientists laugh at the supernatural beliefs of their more religious comrades, while speaking things that appear far more supernatural than any religious doctrine. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Shadow_of_Doom { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+6.150456348458247/+0.00268274080360025\ /9.387e+010/1/172/0 params=-10/-1.1/-1/-11/0/2.26\ 9668213942e+017/0/0 float=y maxiter=1000 inside=0 logmap=140 periodicity=6 mathtolerance=0.05/1 colors=000Ns`AzaAqbChcAzd5neAze3mb3m`4mZ4mX5lV5lT5\ lQ6lO6kM7kK7kIAkG6fC5b94Z54V23X63Y93ZD3_G2`K2aN2bR\ 2cUopsljqjeog_meVkcPi`KgYEeW9cU4bS5_R5YQ6VO6TN6QM7\ OL7LJ7JI8GH8EG8CH6MI4VJ2dK0mL5iM9eMDaNHYOMUOQQPUMQ\ YIpbERfASjzSn2mj4Xg6_c7a`9dXAfUCiQEkNFnJHpGIsCKu9L\ iKKZUKOdKDnKCkMCiNCfOCdPBaRB_SBXTBVUASWAQXANYALZ9I\ `9Ga9Db9BcBJeDQfFYgHdiJljKskLreLq_MpUMpPNoJNnDOm7O\ m2LnAIoHFpPCpW9qc6rj3rq5np6ko8ho9enAbnC_mDXlFUlGRk\ HOkJLjKIiMFiNChO9hNAgNAfNAfNAeNAeMAdMAdMAcMAbMAbLA\ aLAaLA`LA`LA_LA_OBXQCVSDSVEQXEOZFL`GJcHHeIEgICjJAl\ K7nL5pL3jKMdJc`FfYCiU9lR6oO3rO9mOEiOKeOP`OVXO_TOdP\ PeOPeNPfNPfMQfMQgLQgLQgKQhJRhJRhIRiIRiHRiHPfLOcON`\ SLYWKWZJTbHQfGNjFKmDHqCEuBCx9Tg7iS6cC7c8Uc4Uc0UUFU\ UKUUPUUTUUYUUaZUk_Ud`UYaURbUKcUMcUOcUQcUScUUcUWZcY\ acZec`hcbkcdnmfqmhtmjwmlzmmvzlmzfpzjmziizhhzggzffz\ fdzeczzazc_zbXzaVz`Tz_zz_ } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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Thank you
by Barry Smith 07 May '14

07 May '14

Back on 10 March I made a rare posting to this list. I was primarily responding to the query from Tim Wegner about the platform, graphics, and monitor that people use. I said that I am a lurker and I have been subscribed to the Fractint list since 1991, and have followed it closely ever since. I did say to Albrecht that I greatly enjoy his fractals, as I have for more than twenty years those from Jim Muth. I also passed my thanks to the Stone Soup group. My message sparked some correspondence off the list with Hal Lane, mostly about things other than fractals. In turn this prompts me to say a BIG THANK YOU to The Stone Soup Group, and those like Tim Wegner who are still working away Others like Richard who have built new software All those like Jim Muth, Paul Lee and Hal Lane who have discovered fractals, enhanced them, and maintained great web sites, and now of course Albrecht People like Jack of Iradez who have posted animations (I especially like those with baroque music) ... and the rest of the Fractint community. THANK YOU *Barry W Smith* 7 Gidabal Street, Aranda ACT 2614, Australia Tel +61 2 6251 2119 e-mail barrys(a)grapevine.net.au

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FOTD 06-05-14 (Surprisingly Simple [A-7,M-6])
by Jim Muth 06 May '14

06 May '14

FOTD -- May 06, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's colorful image is named "Surprisingly Simple". The name refers to the surprisingly simple formula behind the image, Z^2+C, which creates our old friend the Mandelbrot set, perhaps the greatest fractal of all, yet the one that never fails to reveal a surprise every time I venture there. Today's scene is located in the largest valley inside the large period-5 bud on the northwest shore line of the main bay. Perhaps the most surprising thing about the image is the way the resolution has held up while using conventional math even at the extreme magnitude of over 10^13. Of course, rendering the image using arbitrary precision math will produce marginally better resolution, but the calculation time will be in the hours instead of 3-1/4 minutes. Thanks to the 'tdis' outside option plus a little extra coloring effort from me, the art aspect rates a 7. The math rating of a 6 is based on the unexpected resolution at such a high magnitude. The generating expression itself is the most overworked in all of fractal land. To see the image, run the included parameter file and wait a few minutes, or shift to arbitrary precision math and wait a few hours . . . or avoid the problem altogether by viewing the image on the web sites. These parameter file concerns may be totally avoided by visiting 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> Near perfect weather prevailed here at Fractal Central today, with blue skies, cotton puff clouds, gentle winds and a temperature of 72F 22C. The fractal cats tried with little success to enjoy the narrow stripe of sun that fell on the edge of their shelf. The afternoon sun is now at too high an angle to cover the entire shelf. The fractal humans made it through another uneventful day. I pondered the mysteries of existence (that is if existence even exists), while FL worked in the fractal garden. To make her job easier, I offered occasional morale support from the porch while she worked. The next FOTD will be posted soon. Until a more certain time is revealed, take care, and the greatest question facing mankind nowadays may be 'is there life after birth?'. Jim (think positive) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= SurprisinglySimple { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-0.5252504033232\ 935/+0.5960229672161933/1e+013/1/102.5/0 passes=1 params=0/0 float=y maxiter=4500 bailout=10 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000OawSZvVVvZSuaOtdLtbJp`Hm_FjYDgWBdV9`T7YR\ 5VQ3SO1PN0Mm5fqMVtbJodKkeKgfLchL_iMWjMSlNOmNKnNKpP\ KrRKsSQhNwUItRDqN8nK4jF5gA5b55Z05W05U05R05Q05M05L0\ 5H05H05F05H05805606517558E89MBAPFBTHCWKDZMEaOEigUt\ HeAgz9ez8dz7bz7`z6Zz5Yz4Wz4Uz3Tz2Rz1Pz1Oz5Nz9MzDLz\ HLzIXzIhzIszJpzKnzKlzLjzMgzMezNczOazO_zPXzQVzQTzRR\ zSUzI0IK0IM0JO0KQ1LS2MU3NW4OY5PY3QZ6R_9S`BTaERbGQc\ JOdMNeOLfRKgTIhWHiZFj`DkcCleAmh9nk7om6pp4qr3ru1sw0\ tv1uv2vv3wu4xu5yu6zt7zt8zt9zsAzsBzsCzrDzrEzrFzqGzq\ HzqIzpzzpzmpzmpzmnzmmzclzckzcjzcizchzCfSDeTDdUEcUE\ bVFaWF`WGZXHYYHXZIWZIV_JU`JT`KPYMLUOHRPDOR9LT5IU2F\ X4E_6Db8CdACgCBjEAlGAoI9rK8tL8uE6v74w13r39n5Ej7Jf9\ PbBUZDZVFdRHiNJnQLkSMhVOfXPc_RaaSZdUXfVUiXRkYPn_Mp\ `KsbHucFr`GpYHnWIlTJjQKgOLeLMcINaGO_DPYBQZNX_Yc`hj\ asqXYVW_TV`RUbPTcNSeLSfJRhHQiFPkDOlBOmAThDYcFbZI0z\ 00z00z00z00z00z00z00z00z0 } END PARAMETER FILE=========================================

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Nice images, Brian -- I especially enjoyed your color maps.
by Hal Lane 06 May '14

06 May '14

Nice images, Brian! I especially enjoyed your color maps. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ============================================= Subject: [Fractint] FOTD for 4/30/14 I've been enjoying the high quality of the FOTD images for the past few months. Unfortunately, today's image is disappointing by comparison. However, the selected parent fractal does contain some fine details. Here are two examples: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_85a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_85b.png Brian Prentice ============================================= --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 05-05-14 (Rectangle Homicide [A-7,M-7])
by Jim Muth 05 May '14

05 May '14

FOTD -- May 05, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: The S-shaped thing at the center of today's image is the curious rectangle just east of the large minibrot on the fractalized main spike of the Z^(2.003) Mandeloid. It looks nothing like a rectangle because the scene is sliced in the Oblate orientation, which is defined by the imag(C) and real(Z) axes of the Julibrot. I named the image "Rectangle Homicide" because of the violence I wreaked on the rectangle, though I realize that it's rather hard to be found guilty of murdering a rectangle. As I see it, the art and math aspects both rate a 7. The art is, well, all right, while the four-dimensional math trick has worn pretty thin by this time. The calculation time of 4-3/4 minutes could lead to impatience, so I recommend saving time by checking the web sites. The finished image is posted online 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 mix of sun and clouds prevailed here at Fractal Central today, with a temperature of 66F 19C, which was still a little below normal but due to the light winds, quite pleasant. The fractal cats, never satisfied, complained about the on-and-off sunshine. The fractal humans had an average day. Hey, I know it's not very exciting but this is the FOTD, not a sappy romance novel. The next FOTD will be posted when I get a round tuit. Tuits are everywhere however, so most likely the next FOTD is only 24 hours away. Until then, take care, and always remember that the news outlets let us know just what they want us to know. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Rectangle_Homicide { ; time=0:04:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 periodicity=6 center-mag=-0.00000292103854801/+0.000050825559078\ 12/2180/0.02172/90.5720777131635515/87.94541111137\ 70125 params=0/90/0/90/-1.7435/0/0.00019/0.07682/\ 2.003/0 float=y maxiter=32767 inside=0 logmap=-62 colors=000YaiWagV`eTZbRW_QSWOOUMLPLJJJHIJGHGFGFEFF\ CDFGBFODKUHKaIK`UKecOlmUsucuzmwzcxzUwzYwzgmmpccoUU\ nKKnJAmIAmHAoGAqFAsEAuDAwCAzBAzAAz9Az8Az7Az7AzAEzC\ HzFKzHNzKQzMTzPWzRZzUazWdzZgz`jzcmzepzgsz`hzUZzNOx\ GEz94zIEzQOzYYzegzmqzUzzkqzUizUazUUzUMzULzUKzUJzcI\ zcHzcGzcFzcEzcDzcCzcBzmAzm9zm8zmDzmIzmNzmSzmXzmazm\ fzmkzmpzmuzmzzmwzmtzmqzmozmlzzizzgzzdzzazz_zzRzzJz\ zBzzDzzEzzFzzHzzIzzJzzLzzMzzNzzPzzQzzRzzSmzQmzPmzO\ mzNczLczKczJczIPzKPzLOzNOzONzQNzRMzTMzULzWLzXKzZKz\ _JzaJzbPzaVz`_z`ez_kzZpzZmzWjzUgzSdzPazNZzLWzITzGQ\ zENzBKz9Hz7Kz9NzBQzCTzEWzFYzH`zJczKfzMizNlzPnzQlzP\ jzOhzNfzNdzMbzL`zLZzKXzJVzJTzIRzHPzHRzHSzHUzHVzHRz\ INzIKzIIzFHzDFzBEz98zV2zp4zo5zo6zo7zo8zo9zoAzoBzoI\ znOznUzn_znezmkzmqzmwzmpzfiz`bzVhzamzgrznwztwzhwzX\ wzMqzHkzCez7_z2Vz7QzBMzGHzKCzP8zTFzYMzbTzg_zlfzqmz\ vtzzuztvzowzjxzdyz_zzVzzZ } 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 04-05-14 (Sandy Spectacle [A-7,M-6])
by Jim Muth 05 May '14

05 May '14

FOTD -- May 04, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's quick-to-finish image is a scene in one of the parent fractals that results when the expression Z^(1.5)+C is iterated a whopping 439.5 levels down the hyperladder. For some reason unknown even to myself, I used the older MandelbrotBC2 formula to find the image. This parent consists of a large irregular bay vaguely resembling a strange automobile with two large front wheels and no rear wheels. The heads of two people can also be seen in the image, formed by the two large buds. Today's scene is located in the debris on the northern shore line of the large bay. In my opinion, the art aspect of the image is worth a 7, while the math aspect earns no more than a 6. The name "Sandy Spectacle" points to the large areas of sandy chaos that fill the scene. The calculation time of one brief minute should do away with fractal boredom, while the web sites can do away with the calculation chore entirely. Check the finished image online 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> Some sun but lots of clouds, a few showers of rain, a chilly wind and a temperature that never got above 57F 14C left today with much to be desired here at Fractal Central. With ample food in their dishes, the fractal cats wanted little more however. The fractal humans had a rather slow day. Until next time, take care, and at what point does mass-media news become propaganda only roughly based on fact? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sandy_Spectacle { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 float=y center-mag=+0.3115167767523484/+1.075817196286113\ /1.433343e+009/1/-110/0 params=1.5/0/-439.5/0 maxiter=2750 inside=0 logmap=114 periodicity=6 colors=000EYcCfaBzzAwYWoifbu_ZlKHd40U9FgEbxD6yGNgJ\ cQLt9IPDHND9F6HMDOTKVZRbeYikdprzwxztrzrlzmfzm`umWv\ hQwcKxZEhU8cP3cK6yK8xKAwKDvmYXjVVgRTdNRaKPZGNWCLT9\ KS8JU8Jc8JhKJmUJmcJhUJcKJU6UL6UK5UJ5UI5IH4IH4IG4IF\ 3cE3cD3cD3cC2cB2cA2c91c91c81c70c60c50c50c72c84cA6c\ B7cD9cEBcGCcHEcJGcKHckTXjTWhSVfRTeRScQQaPP`POZOMXN\ LWNJUMITMHUNJVOKWPLWQMXRNYSOZTPZUQ_VR`WS`XTaYUbZVc\ _Wc`XdaYebZfc_fd`geahfbfgggfehfchfbie`ie_jeYjdXkdV\ kdUlcSlcRmcPndNmcOlcOlbOkbPjaPjaPiaPh`Qh`Qg_Qf_Qf_\ ReZRdZRdYRcYSbYSbXSaXS`WT`WT_WTZVTZVUQhVQiWQjWQkWQ\ lWQmWQnWQoWQpWQqWQrWPpVOnUNlUNkTMiSzgSzfRzdQzcQzcP\ zcPzcOzcNzcNzcMzcLzcLzcKzcJzcJzcIzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzfzRgzRizSjzSlzTnzUozU\ qzVrzVtzWuzWwzXxzXvzWuzVtzUzzTzzSzzRzzQzzPzzOzzNzz\ NzzMzzLzzKzzJzzIzzHzzGzzF } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-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 02-05-14 (How Low Are We? [A-7,M-8])
by Jim Muth 02 May '14

02 May '14

FOTD -- May 02, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: The name of today's image asks a question -- "How Low Are We?" The real(p1) parameter answers that question. The exponent of Z in today's image lies at the lowly level of 1.067, a level where fractals would normally be assumed to be virtually impossible, much less filled with minibrots. But thanks to the overworked MandelbrotBC3, which calculates the multiple values of the complex-log function, we have not only a fractal, but a rather exciting minibrot. The parent fractal resembles an orca swimming freely through its natural habitat, the ocean. The fractal orca is surrounded by a cloud of sandy debris that could be bubbles. Today's scene is located in this bubble debris, to the lower left of the orca. The minibrot in today's image is shaped like a plunging rocket ship, not at all like the orca shape of its parent. Almost all minibrots in this ultra-low range of exponents of Z are shaped like rockets or torpedoes, but this does not mean the scenes are worthless. The features surrounding the minibrots can sometimes be surprising. The art worth of today's image rates a 7. In my opinion, the art aspect is notably above average, held up by its brilliant coloring. The math rating of an 8 points to the surprise of finding a minibrot in a fractal with an exponent of Z as low as 1.067. And this is not the lowest possible exponent that would produce a fractal with minibrots. Like all things fractal, there is no well-defined cut-off point below which fractals with minibrots are impossible. Finding them simply becomes ever more difficult until the fractalist simply stops his search. The maxiter of today's image is 420,000, which results in a calculation time of 7-1/2 minutes. This is a good example of the increasing difficulty as the exponent approaches unity. And even with this extreme value, the minibrot is far from fully resolved. Luckily, the web sites are there to bring relief. So escape fractal drudgery. 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> Today brought a mix of clouds and sun, brisk winds and a temperature of 61F 16C to Fractal Central. The fractal cats, now quite difficult to tell apart from a distance, had a playful day. The humans had a work day. The next FOTD will be delayed until May 4, two days from now. Until then, take care, and I just found a mind hiding under the stairs. Did anyone lose theirs? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= How_Low_Are_We? { ; time=0:07:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=-7.525986636549002/-3.471416076886733/\ 3.47627e+010/1/110/0 params=1.067/0/0/1500 float=y maxiter=420000 inside=0 logmap=395 colors=000d00b00`00_00Y00U02R0GT1JU5LW7MYCO_ER`JTb\ MUdRWdUY_TWUTWPTWLTWGTWCTW7TW4TW7URCUMGWJLWEOWCTY7\ YY5b_1f_0l_0q`0w`0z`0sb0nd0gd2`f7WgDRgHLiHGlHClH6n\ H2oH0oHAnHOlHbiHsiHq`HqTHqMEqEDo76o20o00o00zRDzziq\ zY_zOJzD5z50y00w00s00o00l00g20d60`A0YD0UH0RM0OP0PM\ 1RJ5TGAUEGWCLY9R_6W`5giMusfln_dgTYbMRYGLTALMDLHEGD\ GA9H55J01L50MA0OF0LK0HP2EV5C`79bA6fD4iH2nP0qY0sd0w\ d0zo0zuczyzzzz2PH5PH7PH9PHCPHDPHGPHHPHLPHOcYPcYTcY\ UcYYcY_cYbcYdcYbcobcobco`co`co`co_co_co_ozYozYozYo\ zWozWozWozGtz4tz0tzctzctzctzctzctzctzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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 01-05-14 (Close But No Prize [A-6,M-6])
by Jim Muth 02 May '14

02 May '14

FOTD -- May 01, 2014 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's fractal diversion takes us to the Mandeloid fractal that results when Z^(5) and Z^(3) are combined and (C) is added on each iteration. This parent fractal, which consists of two large bays, resembles a peanut balanced on its butt end. Neither bay appears totally critical, though the northern bay comes closest. Today's image lies in a blunt arm intruding into a large bud on the northwest shore line of the northern bay. The unusual effect was achieved by rendering the scene, which contains much inside stuff, with the 'inside' set to 'bof61'. But despite the effort, the result falls short of what I had hoped for, and earns a rating of a double six. The name "Close But No Prize" reflects my mild disappointment. The lengthy calculation time of 7-1/2 minutes does nothing at all to bring consolation. But relief is still available on the FOTD web sites. Save time and effort by checking the 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> Today brought much improved weather to Fractal Central. The partly cloudy skies and temperature of 70F 21C made things feel perfect for the first day of May. The fractal cats ignored the intermittent sun and passed the day chasing each other up and down the hallway. The fractal humans enjoyed the day in a more human manner. The next FOTD will be posted in a day or so. Until next time, take care, and if you believe in the force, may it be with you. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Close_But_No_Prize { ; time=0:07:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.4553949196655651/+0.7983148106762664\ /4.1227e+009/1/-81/0 params=1/5/1/3/0/0/0/0 float=y maxiter=3000 inside=bof61 logmap=415 periodicity=6 colors=00025M36Q47U58W7AX9CYBE_DGaFIcILeLOgORiRUkU\ XmX_o_bqbesehuhkvkmwooxsqywszzuzzwzzxzzyzzzzzzzzzz\ uuupppnnnkkkgggeeebbb```ZZZYWZVSWTOURLUOHSMDQJCQG8\ OF5MC2KB2K82I72G62G41E31D21D21D31D41D51D61D61D81D9\ 1DA1DB1DB1DD1DE1DG3DI4EI6EK8FM9FOBGQDHQFHSHIUKKWKK\ ZLK`NL`OLbQLeSMgUMiWMiYMk_NnaNpcNscOseOugOxiOzlPzm\ PzoPzqPzsPzuPzvPzvPzrNzqNzoNzmLzkLziLzhLzeJxcJwbJv\ `IuYGtWGsUGrSEqQEpODoNDnLBmJBlHBkGBjE9iD9zB9z97z87\ z77zA6zA4zK4zK4zU4zU3zc3zc2zU2zU2zK2wA2r22m22m22m2\ 2m11h11h11c11Z11U11P11K11F11A12512033zzzzzzzzzzzzz\ zpzzgzzYzzTzz8zz7zz7zz7szCjuIanNSgIruqzwCzjFzaJzSL\ zJNz9Mz7Tn5YY4bL3QC2K41U00c00m00z6HzEGzMHzKAzPJQZR\ Igc6sp6zz7iz7SzCFzPYcin7zt7zz7zz7zz7zz7zzFzzPzzZzz\ jzywzvvxkoshoxdnzzeFzdFzbHzaHzwwzwwzwzzwzzwzzwzzwz\ zwzzwzzwzywzywzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD for 4/30/14
by Brian Prentice 30 Apr '14

30 Apr '14

I've been enjoying the high quality of the FOTD images for the past few months. Unfortunately, today's image is disappointing by comparison. However, the selected parent fractal does contain some fine details. Here are two examples: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_85a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_85b.png Brian Prentice

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FOTD 30-04-14 (Uncoordinated Color [A-5,M-5])
by Jim Muth 30 Apr '14

30 Apr '14

FOTD -- April 30, 2014 (Rating A-5,M-5) Fractal visionaries and enthusiasts: Today's image rates a totally mediocre 5 in both its art and math aspects. I'm not sure what happened, but the more I worked on the colors, the less satisfying they became. I finally gave up and decided to make the mish-mash of colors the theme of the image, hoping that something worthwhile might emerge. The parent fractal was created when I combined 10 parts of Z^100 with 0.1 part of straight (Z) and added straight (C) on each iteration. This parent is nothing more than a lopsided open circle with 99 tiny buds around its perimeter. Today's scene is located in a small area of interest along the negative X-axis where it emerges from the circular main bay. The name "Uncoordinated Color" describes my impression of the scene. But even though the colors are gaudy and clashing, this does not mean the image is worthless. And the relatively fast calculation time of 1-1/2 minutes makes it a small task to see the meager worth. The web sites will make it even easier. The finished image is online 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, rain and temperature of 50F 10C made today another day to be forgotten here at Fractal Central. The fractal cats forgot the day early and decided to find satisfaction in their food dishes, while the fractal humans had another routine day. The next FOTD will be posted in about one more day. Until then, take care, and watch your words. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= UncoordinatedColor { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.par formulaname=MandAutoCritInZ function=ident float=y center-mag=-0.8938759107117136/-0.0002258967429871\ /3.154921e+012/1/120/0 params=10/100/0.1/1/0/0/0/0 maxiter=1400 inside=0 logmap=157 periodicity=6 colors=000_t5MlHzOCqSHcXLP`PZQVgElcccjYK_pMMiPcOV5\ 0zfbgv0mYIb0f0ZK0z_L0_z0Mocl0Ui1K`Fjq8`mESjII10hEF\ HB0iV0zz0zz0zzKwmUvVsxLszCsz3sz1vx0wv0xt0zs0zp0zo0\ zm0zV0gC5K09008106904G03O01V10b30i30o6Cz9PtC`wFmzI\ xzSbzbFzl0zi0zf0tZ0iY0_L1OI3EL53F6EG6MF6XB8e58o08w\ 08ziizVoiczS0cB0z00z0Cz1Ox6YwBitFtsKzzOzzSzzb81j9F\ `BRRCbIEm8Fx0Hz0Cz09t55mC1fK0YR0RY0Je0Cl0Kg0Re0Y`0\ cY0iP0mI0rA0v3Fm8VeBjXFzPIYo55z05z05z15z6_gz`XzbLz\ bBzUfzLzzIzwFztCvq9qo6ml3gi0cf0_c60X91gCEqFPzH`zLP\ zOEqR3gVEcYM``XXceUgmPjwMmzIpzFoz9om5lj8iiAfhBcfD`\ eEYcFXbHUiRSp`PvjOztMzzSzzXzwbztgzplzmezg_tcUoYOiT\ IcPCYK6SF0OB0XF0eK0lM0tR0zV0zY9zbPxfesjsoochqP`r9U\ tERtHPtKNtMKtPItVbY_vBcz0ez0fz0gz3iz8jzElzImzMmzRz\ z_zzfzz_vzSzzLzzEzz6zz0zzCzzPzzzzzzzzzzzzzzzzzzzzz\ 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 29-04-14 (The Fourth Dimension [A-6,M-7])
by Jim Muth 29 Apr '14

29 Apr '14

FOTD -- April 29, 2014 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's scene in the East Valley area of the Z^2+C Julibrot was created by the 'ranges' feature of Fractint, a feature that I very rarely use. It is such a rarely used feature that I am not even sure the more current Fractint-emulating programs have the ability to reproduce it. As far as I know, the 'ranges' feature can be accessed only through a command-line entry. The 'ranges' instructions, which are rather complicated, are available in the program documentation. The image slices the Julibrot in an orientation halfway between the Elliptic and Rectangular. The vaguely elephant-shaped open area in the foreground shows that we are roaming the East Valley area. The brilliantly blue bars in the background show that regardless of where the points in the Mandelbrot set begin their journeys, if they do not escape first, they will eventually settle into the same orbits as points that begin at 0,0. And if we look closely, we can actually see the dull red, low iteration foreground stuff gradually merging into the high iteration stuff making up the horizontal blue bars in the background. There is no problem with the colors section of the parameter file. Since the final 242 color registers are all solid black, I have combined them into a single register to save space. I named the image "The Fourth Dimension". After all, the Julibrot certainly does exist in four spatial dimensions. The art earns a rating of an acceptable 6, while the math, which involves four dimensions, rates an improved 7. The calculation time of 1-2/3 minutes is fast enough to keep impatience under control and slow enough to give time to watch the scene unfold on the screen. But calculation is still a chore, and this chore may be avoided by checking the finished image on the web sites. To avoid calculation, check the 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 and rain made today a day to be forgotten here at Fractal Central. The temperature of 48F +9C did nothing at all to help make the day more pleasant. The fractal cats, who are now getting hard to tell apart, spent a little time sulking about the poor weather, but a lot of time working off their dissatisfaction tussling with each other. The humans spent the day pondering the world's human problems. The next FOTD will likely be posted in 24 hours. Until then, take care, and one person can hardly worry about every over-hyped problem on earth. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheFourthDimension { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=slicejulibrot4 passes=t float=y center-mag=+0.00204706073105023/+0.004429358557815\ 21/109.0324/3.3256/-88.4965877662025093/32.6921823\ 891347145 params=90/90/0/45/0.30025/-0.02526/0.765\ /-0.567/2/0 maxiter=18000 inside=0 periodicity=6 ranges=0/-1/425/500/600/800/1100/1500/2200/3300/60\ 00/18000 sound=off colors=000C00XKKKmzPqzUuzZwzcwz\ hwzmzzzzzzzz000<242>000 } 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 28-04-14 (Fractal Anticlimax [A-7,M-6])
by Jim Muth 29 Apr '14

29 Apr '14

FOTD -- April 28, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: After yesterday's ultimate image, today's near average one seems an anticlimax. I named it "Fractal Anticlimax" accordingly. The scene of the action lies in the distorted East Valley of the parent Mandelbrot set, which is totally corrupted in its depths by cubic energies, and even on its surface is starting to show quite a few cubic tendencies. The art rates a 7. A little more effort might have raised the rating a half point or so. The math rates a 6. Corrupted Mandelbrot sets have been a staple of the FOTD for quite a few years, so the image holds little that has not been seen before. The calculation time of 1-1/6 minutes is quite reasonable. Avoiding the calculation entirely by checking the web sites is equally reasonable. Avoid the calculation by viewing 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> Today dawned clear here at Fractal Central, but clouds moved in as the day progressed, and by mid-afternoon it was totally overcast, with rain predicted by nightfall. The fractal cats exhausted themselves tussling with each other all morning, then slept most of the afternoon. The fractal humans were rather sullen, but considering the world situation, who can blame us. The next FOTD will be posted in about 24 hours. Until then, take care, and let's avoid all the feel-good talk about a bright side. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fractal_Anticlimax { ; time=0:01:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.1755284019811146/-0.01181651130270\ 323/1.785588e+014/1/167.4/0 params=3/-6/0/0 float=y maxiter=750 inside=0 logmap=120 periodicity=0 mathtolerance=0.05/1 colors=000678879A6BC6DE6FG5HI5JK4LM4NO3PQ3RS3TU2VW\ 2XY1Z_1_a1`c5aeAbgFciKdkPemUgmZhmcmmhrnmvnoznmvnhr\ ncojZheUbaPXYKRUGLQDFMA9I83E66A3860A30700503A06F08\ K5AMACOCEQCEVBFZAGc9Jh9Mm8Pr7Uz6Zz6czCUmIYcOeRUmMZ\ uHazGczGezGhzFjzFlzFomEqmEsmEjcHaYKUSMLRPDmRGRQJNQ\ MfQPaQShPVjPYVP`WPcWPfaOibOkaOjfOifObfMUcKIcIeciec\ dddddddddddddddddddddddddddddddddddddddddddddddddd\ ddddddddddddddddddddgggggggggggggggggggggiiiiiiiii\ hhhhhhhhhiiiiiijjjjjjjjjkkkkkkkkkkkkkkkhhhhhhhhhhh\ hllllllllllllllllllllllllllllllllllllllllllllllllp\ pppppppppppppppppppppppppppppppppppppppppppppppppp\ tttttttttttttttttttttttttttttttttttttttttttttttttt\ 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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FOTD 27-04-14 (Saucer Convention [A-10,M-10])
by Jim Muth 27 Apr '14

27 Apr '14

FOTD -- April 27, 2014 (Rating A-10,M-10) Fractal visionaries and enthusiasts: Finally, after all these years, we have a FOTD that rates a double 10. And it took an invasion of flying saucers from outer space to earn this astounding rating. My first impulse was to name the image 'Saucer Invasion', but then I decided to give the aliens the benefit of a doubt, and not automatically assume they are war-like creatures. I finally decided that the aliens are here on nothing more threatening than a galactic convention, and named the image "Saucer Convention". The art rates the holy grail of a 10 because after hours of working on the 48-colors of the palette, I finally got the image to appear almost 3-D photographic. The math earns the same rating because I have no idea what is going on with the math, which appears to have something to do with both Mandelbrot images and Newton's method of finding roots. This could well be the only FOTD that will ever be posted rating a double ten. The flying saucers are all made of some burnished hi-tech copper-colored metal. Some of them resemble huge flying kettledrums, while others resemble thin, flattened dish-like craft, barely able to hold an intelligent alien. It's anyone's guess what the inhabitants of the saucers might look like. The saucers must be mother ships carrying fleets of smaller craft. How else could the many smaller groups flying in formations be explained? The image takes 3-1/4 minutes to calculate, which is likely a lot less than the time it took the saucers to reach the earth from their home worlds scattered throughout the galaxy, if not the universe. See the finished image instantly 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 partly cloudy sky, chilly north winds and temperature of 57F 14C were fine for spring gardening here at Fractal Central today, though not quite so good for the fractal cats, who were unhappy about the chill and waited for the sunshine to become dependable, which never happened. The fractal humans were in kind of a down mood. The next FOTD will in all likelihood be posted 24 hours from now. If not, it will appear in 48 hours. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Saucer_Convention { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt12 passes=1 center-mag=+0.7897\ 049206/-0.0284320591/284405/1/107/0 params=-4.3808\ /-0.5139/-1.2595/1.0881/-0.811/2.519 float=y maxiter=250 inside=bof60 logmap=yes periodicity=0 colors=000yzzyxvxwrwumvshuqctlZshWreRqcQobPnaOm`Nl\ _MkZLjYKiXJhWIgVHfUGeTFdSEbRD`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} frm:MandNewt12 {; 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-1)*(z-b) j=c*z^d+g z=z-e*h/(f*j), 0.0000000000000000000000000000005 <= |h| } END PARAMETER FILE=========================================

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FOTD 27-04-14 (Saucer Convention [A10,M10])
by Susan Brown 27 Apr '14

27 Apr '14

FOTD -- April 27, 2014 (Rating A-10,M-10) Fractal visionaries and enthusiasts: Finally, after all these years, we have a FOTD that rates a double 10. And it took an invasion of flying saucers from outer space to earn this astounding rating. My first impulse was to name the image 'Saucer Invasion', but then I decided to give the aliens the benefit of a doubt, and not automatically assume they are war-like creatures. I finally decided that the aliens are here on nothing more threatening than a galactic convention, and named the image "Saucer Convention". The art rates the holy grail of a 10 because after hours of working on the 48-colors of the palette, I finally got the image to appear almost 3-D photographic. The math earns the same rating because I have no idea what is going on with the math, which appears to have something to do with both Mandelbrot images and Newton's method of finding roots. This could well be the only FOTD that will ever be posted rating a double ten. The flying saucers are all made of some burnished hi-tech copper-colored metal. Some of them resemble huge flying kettledrums, while others resemble thin, flattened dish-like craft, barely able to hold an intelligent alien. It's anyone's guess what the inhabitants of the saucers might look like. The saucers must be mother ships carrying fleets of smaller craft. How else could the many smaller groups flying in formations be explained? The image takes 3-1/4 minutes to calculate, which is likely a lot less than the time it took the saucers to reach the earth from their home worlds scattered throughout the galaxy, if not the universe. See the finished image instantly 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 partly cloudy sky, chilly north winds and temperature of 57F 14C were fine for spring gardening here at Fractal Central today, though not quite so good for the fractal cats, who were unhappy about the chill and waited for the sunshine to become dependable, which never happened. The fractal humans were in kind of a down mood. The next FOTD will in all likelihood be posted 24 hours from now. If not, it will appear in 48 hours. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Saucer_Convention { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt12 passes=1 center-mag=+0.7897\ 049206/-0.0284320591/284405/1/107/0 params=-4.3808\ /-0.5139/-1.2595/1.0881/-0.811/2.519 float=y maxiter=250 inside=bof60 logmap=yes periodicity=0 colors=000yzzyxvxwrwumvshuqctlZshWreRqcQobPnaOm`Nl\ _MkZLjYKiXJhWIgVHfUGeTFdSEbRD`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} frm:MandNewt12 {; 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-1)*(z-b) j=c*z^d+g z=z-e*h/(f*j), 0.0000000000000000000000000000005 <= |h| } END PARAMETER FILE=========================================

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FOTD 25-04-14 (Koilon Bubbles [A-8,M-7])
by Jim Muth 26 Apr '14

26 Apr '14

FOTD -- April 25, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 0.01 part of Z^(2) is subtracted from Z^(-2) on each iteration. This parent is gargantuan in size, though the unlikely escape radius of today's image cuts off most of it. This odd escape radius of 99.999 was carefully chosen to bring the scene of today's action as close as possible to the cutoff point, where the bubbles created by the 'fmod' outside option are as prominent as possible. The name "Koilon Bubbles" describes the bubble-like objects in the image, and points back to the time when empty space was assumed to be filled with an invisible substance called aether, which transmitted light waves. Some people, mostly occultists who called the aether 'koilon', also assumed that atoms were actually made of bubbles in this all-pervading substance that were held open by the creative power. Curiously, now that dark energy has come on the scene, this idea does not seem quite as goofy as when it was seemingly disproved by the theory of relativity. The art rating of an 8 is thoroughly earned, since I spent over an hour working up the custom coloring. The math rating of a 7 is earned because the un-truncated parent fractal extends apparently infinitely in both the outward and inward directions. The calculation takes 1-1/2 minutes -- fast enough to keep boredom at bay. And the web sites can avoid all calculation problems. Save a little effort by viewing the finished image on any one of 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> Morning sun gave way to afternoon clouds and evening rain here at Fractal Central today. The temperature of 64F 18C was very near normal. The fractal cats were too busy tussling with each other to care very much about the outside conditions, though I did hear Jasmine chattering when a pigeon landed near the window. The humans, who are becoming ever more disgusted with politics and the mass media, had an average day. The next FOTD will be delayed until April 27, two days from now. Until that time arrives, take care, and beware of manipulative media exaggerations. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Koilon_Bubbles { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-4.439109860299364/-5.965792592977377/\ 2.5e+008/1/-42.5/0 params=1/-2/-0.01/2/0/-0.001/0/0 float=y maxiter=1000 inside=0 proximity=0.5 outside=fmod logmap=yes periodicity=6 colors=000zzzxyzwwzuuzsszrqzqozpmzokznizmgzkeziczg\ aze_zcYzaXz_WzYVzWUzVTzUSzTRxSQvQPqOOoMNnKMlILgGKe\ FKdDIaBHY9FX9FV7DT5BO3BM29K27I07F05D03B03905H27S39\ Z5Bc7Df9Fi9FiDIzFKzHMzIOzKQzKQzKQzKQzKTzKTzKTzKTzK\ VzKVxMVvMVqMXoMXnMXiMXgMYeMYaMY_MYYKX_KX_IXaIXaHXd\ HXdFXeFXeFXgDXgDXiBXiBXl9Xl9Xn9Xn7Xo7Xo5Xq5Xq3Xt3X\ t3Xt5Yq7Yo7Yn9YlB_iB_gD_gF_eF_dHaaIa_IaYKaXKaXMdVO\ dTOdQQdOTeMTeKVeKXeIXeHYgFYgD_gBagBag9di7ei5ei3gi2\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 24-04-14 (Return to Basics [A-7,M-3])
by Jim Muth 24 Apr '14

24 Apr '14

FOTD -- April 24, 2014 (Rating A-7,M-3) Fractal visionaries and enthusiasts: There is not much to say about today's image, which is a scene deep in the east shore line of the north branch of Seahorse Valley of the Mandelbrot set. Since the magnitude is at the limit of conventional math, arbitrary precision math will produce a slightly sharper rendering, but at the same time will increase the calculation time from 10 minutes to a day or more. I put some extra effort into the coloring, mainly by setting the logmap at a higher than proper value, which produces the large flat areas that I colored black. This earns the art aspect a respectable 7. The math however is pure Mandelbrot stuff. There is nothing wrong with this, but the trick is now over 30 years old and hardly worth a rating above a 3. The name "Return to Basics" reminds us that the Mandelbrot set is still the most basic of all fractals. The calculation time of 10 minutes is a rough average. Different machines run type=mandel fractals at widely different speeds. So avoid all uncertainty by visiting the web sites. 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> Despite the brilliant sun, the high temperature of 59F 15C and brisk wind from the north kept a feeling of late winter in the air here at Fractal Central today. The fractal cats, who now regularly tussle with each other, were too pre-occupied with their play to be concerned with the slight chill. The fractal humans simply got through the day the same as they have done on countless other days. The next FOTD will be posted in 24 hours. Until then, take care, and see you soon. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Return_to_Basics { ; time=0:10:00.00 SF5 at 2000MHZ reset=2000 type=mandel center-mag=-0.7499977505574\ 505/+0.00301634025810139/2.177347e+013/1/-40/0 params=0/0 float=y maxiter=750000 bailout=4 inside=0 logmap=-91500 mathtolerance=0.05/1 colors=000000000000xc7xeBxhFwjKwmOwoSwqWmwzrnfpmkn\ lpigidccESw9Tw4Uw5So6Qh7Oa8NV9LOAJHBHABG3SnjQjhOgg\ NdfLaeKZdQOnVEwcBcl8Kt60n96iBCdDI_FOVHUQJ_TBGU8KW6\ OX4SS6NO7JK8FGAAI668C2KQ1Wb1fo1im9lkHojPrhXugcndfh\ ahaZkWXmPUoJRrCOt6MvPbpgsjaaqXKxqc5nc6lK6jc6hc6fc6\ dg6bf6`f6wB5ag4wB5bY6w07jk8wS9p_BwOCqUDrREwLFwPGwU\ HwVIwVJwUKwVLwWMwXNwXOw_Pw_Qw_RwZSwZTwZUw_VpWWqWXr\ WYsWZtW_uW`vWavWbvWcvWdvWewWfwWgwWiwWjwWkwWlwWmwWn\ wcJwc_wcowcjwcewc`wcWwcXwcXwcXwcdwckwcRzcMzcIzcEzc\ Azc6zc8zcUzcOzcJzcEzc9zc4zcBzcHzcOzcUzm`zmfzm`zmWz\ mRzmMzmfzmzzmuzmqzmmzmhzmdzm`zmczmePmhJmjDmlTmggmb\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 23-04-14 (It's Not Quadratic [A-7,M-6])
by Jim Muth 23 Apr '14

23 Apr '14

FOTD -- April 23, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: >From a distance the little minibrot at the center of today's image may look quadratic, but it certainly is not. It is of order 1.5 and lies in a parent fractal that resulted when I iterated the expression Z^(1.5)+C at a level 33 levels up the hyperladder with no function applied. The name "It's Not Quadratic" confirms the apparent discrepancy. This parent is shaped quite like the minibrot in the image, and is oriented so that the large period-2 bud points out to the south. Today's scene is located in a sprawling chaotic spiral just inland from the southeast shore line of the parent's main bay. I intentionally set the logmap about 25 levels too high. Doing this created a flat background that could be given any color I wished. For various reasons I chose solid black. The art rates a 7, mostly because of the flat black background. The math rates a 6, since the math trick is so old that it is hardly a trick any longer. The calculation time of 1-1/2 minutes is fast enough. But visit the web sites for an even faster way to view the image. The web sites are online 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 clouds with only a few breaks of sun spoiled the day here at Fractal Central. The brisk north wind and temperature of only 54F 12C made things even worse. The fractal cats endured the discomfort with only minor complaints. The humans had no complaints at all -- we were too busy. The next FOTD will be posted in about 24 hours. Until then, take care, and let's avoid discussing religion, politics or philosophy for a few days. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= It's_Not_Quadratic { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.7796928496537461/-0.5595061592029913\ /3.314487e+008/1/112.5/0 params=1.5/0/33/0 float=y maxiter=2400 inside=0 logmap=162 periodicity=6 colors=000000SafRWfPQfOKgMEgLGgKKgPPpUUxWZvXcuYhtZ\ ms_or`qqctphwpmznrzjjzgdoddgadeZdUmdUmdUmdKmdKmdKm\ dKmdKzdKzdKzdKzZKzUKzPCzQKzRKzUKzWKzZKz`KzcQzePzfQ\ zgRzgRzhSzhSmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmz\ cmzcmmcmccmUcmKcmIcmLcjOcgRccTc_WcXZcTacPdcMfcIidE\ leBof7qg4kf8eeB_dEVdHTaKR_NPYPOWSMUUKRXIPZHNaFLdDJ\ fBGiAEk8Cn6Ap48s36u5At6Dt7Ht9KsAOsBRsDVsEYrFarHdrI\ hrJkqLoqMrqNuqe_ZwEHpHOiJUbL_WNeQPkTSjWVjYYi`_icbi\ eehhghkjhmmgppgsrguufxxfzzfzzazzWzzR4mMFmPQmS`mVjm\ YlmVnmTocQqcOscMtcJvcHwcFvcGucHtcHscIreJrkJllGflE`\ lCWlAZfC``EccGecIhcKjcMlcN8hxHhyKhhPcbUcXXcVZcTacR\ cePehNhjLjmJloHhoFdoE`oDYoC_nBanBczAezAizAjz9kz9lz\ 8mz8nz8oz7pz7qz7rz6sz6tz5uzzzzzzzzzzzzzzzzzzzzzzzz\ 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 22-04-14 (Broken Perfection [A-7,M-6])
by Jim Muth 22 Apr '14

22 Apr '14

FOTD -- April 22, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image is named "Broken Perfection". The reason for the name is readily apparent in the image, which shows an almost perfect ring around a minibrot. The ring resembles a donut- shaped planetary nebula puffed off from a dying star, but look closer. The ring is broken on its east side by a discontinuity that is caused by the fractional nature of the Z^(10.5) exponent and extends all the way to the central minibrot. The 9-1/2 bays of the minibrot point to an exponent of 10.5, while the 10-1/2 elements in the ring confirm the deduction. The location of the scene is at the edge of a larger but still order-10.5 minibrot on the main spike of the parent Mandelbrot set, just east of the prominent large quadratic minibrot. The art rates a 7, mostly due to the modicum of extra effort I put into the coloring. I could rate the math aspect no higher than a 6, especially after noting that we have been exploring this math trick for over a week. The calculation time of merely forty seconds makes up for any deficiencies however. This time will pass faster than Ali Baba's forty thieves. But there is no danger, since the web sites will keep the thieves at bay, at least for those who choose to take shelter there. The web sites are online 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> Heavy clouds and light rain spoiled things here at Fractal Central today until the sun broke through in mid-afternoon. The temperature of 68F 20C was mild enough, but with the house heat turned down, the fractal cats would have preferred more sun. The humans had a thoughtful day. While I was out walking, I noticed that the trees in the town square are still as bare and bleak as in midwinter, and it's only one week until the month of May, when trees are usually in full leaf. The next FOTD will be posted in 24 hours or whenever. Until then, take care, and at this Easter time I hear of a decline in religious faith. The decline is nothing new, but could it be driven by the fact that among the over-educated, religious faith is widely seen as a vestige, which is now little more than a comforting diversion from reality clung to by the under-educated and easily disproved by scientific study and rational thought? Jim (both Theist and Atheist) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Broken_Perfection { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip inside=0 center-mag=-1.741394475156175/+0.00000405269130397\ /2.773655e+012 params=10.5/1e+020/0/0 float=y maxiter=400 periodicity=6 mathtolerance=0.05/1 colors=000zdkzmsznlznezo_zoTzoNzoKzoHzfFzZDzRBzJ9z\ B7z35z4Ez5Mz6Uz7az8izA4z9Ez8Oz7Yz7fzEczKazRZzXXzcV\ ziSzpQzvOzqQzmRzhTzdUz`WzWXzSZzPYzO_zN`zMazLbz5xzD\ mzLczTUzcEz`KzPEzUKzZQzcWzhazmgzrmzwtzvszvrzvqzvpz\ vozvnzvmzzqzyozvlztjzrhzpfzzzzzzzzzzzzzzyzzxuzwrwv\ ouulsthqsbprZoqWlpTkoQjnNimKhlHgkIfjJeiKdhLcgMbeNa\ bO`_PZYQXVRUTSPQQLOLJLJGJGEGDAEB9CA79757725404NA4T\ F4YK4bP4gU4kb4ph4vo4zv4zzcztevtxjowZjwOfwVMbW1IU3K\ S5LQ7NP9ONBQLDRKFTIGUGIVFKXDMYBO_AQ`8Sb6Uc5Vd6Ue6T\ ezSezRezQezPezOezPdzQdzQdzRdzSdzUdzVdzObzSczWdz_ez\ cezgfzkgzohzshzdYzROzDEzJIz2EzOLzgEzhLziSzjYzkdzlk\ zouznszmqzlpzknzjlztnzolzjkzfizahzXfzTezOczKbzO_zR\ YzcFz`JzXNzURzRVzOZzPdzPjzQpzQvzOtzNrzMqzLozKmzJlz\ IazISzIIzFGzDEzBCzKKzTSzzzzX`zS`zN`zI`zD`z8`z4`z5U\ z6Oz7Hz8Bz85zCBzFGzIMzLRzOXzRazUgzXlz0mz7kzEizLhzS\ fzZdzdczSUzGLz4CzELzNUzWb } 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 21-04-14 (A Split Opinion [A-8,M-5])
by Jim Muth 21 Apr '14

21 Apr '14

FOTD -- April 21, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's brilliant image is a scene on the edge of the main spike of the Z^(2.0000001)+C Mandeloid. On the surface this parent fractal appears to be an everyday Mandelbrot set, and most of it is just that, but as today's image shows, strange things are happening along its main spike. The image is located on the northern edge of the spike, which is infinitely divided. The division of the spike is mirrored in the network of white filaments surrounding the central minibrot. And that central minibrot has its own problems. The minibrot is not a single minibrot. It lies on a discontinuity where it has been split into two separate minibrots, neither of which are fully there. The art rates an 8, even though I posted a very similar image about 5 years ago. The math rating of a 5 is held down by the over-familiarity of the divided-spike math trick. The name "A Split Opinion" refers to the divided spike. The calculation time of four minutes is slow, but at least in my humble opinion, is worth the wait. And the web sites are always there to make life easier. Regardless of my individual opinion, viewing the image on the web sites will be far more convenient than running the parameter file. The web sites may be accessed 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 glorious sunshine and temperature of 70F 21C here at Fractal Central today was just what the doctor ordered. I'm not sure what ailment it cured, but the fractal cats took full advantage of the sun, as they chased the shifting sunbeams. The fractal humans simply made it through the day with nothing happening that was worth reporting. The next FOTD will be posted in almost no time at all. Tomorrow is the best bet. Until this great fractal apparition, take care, and with all the misleading nonsense in the media, people probably know less than half as much as they think they do. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Split_Opinion { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.749737348005\ 255/+0.0000004927012753/3.447818e+011/1/32.5/0 params=2.0000001/0/0/0/0/0 float=y maxiter=32767 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000pDzqCzm0zsCzyYzzstzzmzzhzzfzzczu_yqXwmUu\ hRsdOq_KpWFmRCkM7jH3hC0f50d00c00a00Y00W10S50PC0MH0\ JK0FP0CS07X03a10dA0hK0mU0pc0tm0zr0yz0wz0tw0qs0oo0n\ k0mh0le0kb0j_0iX0fU0cR0`O0YL0UI0PE0I80D30A00500300\ 000500900D00H01K03P05S07W09Y0Ca0Df0Fh0Hk0Jo0Kq0Pz0\ Ow0Mt0Kq0Jo0Jk0Hh3Ff7DcCD_DCXH9UK7RO5OR5KS3HW1DY09\ a00d03c05c57cD9aJDaOFaUH_YJ_cM_gO_mPYqRYuUYzWXzXXz\ YXz_X00N00Q00T10W20X30`43b59e6Bf7Bj8Ck9DkAElAFmAGn\ AHoAIpAJqALrAOsARtAUuBXvC_wGbxKeyPhzUmzZpzctzhzzmz\ zrzzzzzzzzamzahzaczaZzaUzaPzaMz_MzYOzXRzWSzUUzUXzS\ YzR_zPczOdyMfuMhtKjqJkpHomFpkDqhDtgCud9wc7z_5zY0zX\ 5zX9zXDyXHwXKuXPsXSqXWoXYmXakXfhXhgXkdXocXsXYqaXpd\ XogWojWmmUkpUjsSptXmuUjuSguPduOWHMaCJeAHh5FlCCoF9q\ J5sM3tP0tS0uW0wY0ya0zd0zg0zh0we0ta0qX0mS1hO5cJ9ZDF\ U7JP1MK7JFCH0HF0KC0P90S70W30_10c00g00j00m00j03g79d\ DFaKKYPPWWUSaYPfcMkgJpkFu } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 20-04-14 (Two Full Elevenths [A-7,M-7])
by Jim Muth 21 Apr '14

21 Apr '14

FOTD -- April 20, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: The parameters of today's fractal show that it is located on the west side of the north branch of Seahorse Valley of its parent Mandelbrot set. But this parent M-set is not just any old M-set, it is a set that has been corrupted in its depths by Z^(11) energies. The amazingly large imag(p1) parameter of 100000000000000000000 is necessary to keep the corruption down in the depths. I'm not sure how or why this works, but it does work, so why question such a useful thing. The corruption in today's image is of order 11, which is an odd number. When the M-set is corrupted with odd energies, the switch from the quadratic to the odd-order level is much more interesting, since an odd number of elements cannot be symmetrically melded into an even number of quadratic elements, and since the corrupting energies are not fractional, there are no discontinuities to make sudden 'quantum' leaps. The art and math values of today's image both rate a 7. The name "Two Full Elevenths" is based on the combination of Z^(2) and Z^(11) energies. The calculation time of 2-1/2 minutes will pass. How fast it will seem to pass depends on the patience of the individual fractalist. But everyone can have infinite patience by checking the finished image on the web sites, thereby eliminating the chore of calculation. The web sites are 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> Total sun and a temperature of 68F 20C gave the fractal cats as well as the fractal humans the best Easter in several years here at Fractal Central today. The next FOTD will be posted in 24 hours. Until then, take care, and the more a person tries to figure out what's wrong with the world, the more confusing everything becomes. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Two_Full_Elevenths { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.768537043766396/+0.00289078841806103\ /1.482942e+012/1/45/0 params=11/1e+020/0/0 float=y maxiter=1800 inside=0 logmap=266 periodicity=6 mathtolerance=0.05/1 colors=000RUhQUgPUfOUeNUdMTcLSaKR_JQYIPWHOUGNTFMSE\ LRDKQCJPBIOAHN9GM8FL7EK6DJ5CF4BA3A028416704ASh7Um6\ Wr5Yv5_v4mx3mz3mz2wz2wz6wz9rvCmrFmoImlLniOpfSqcVr`\ YsY`tVcuSfvPiwMlrLhmKchJZcIUZHPUGKPFFKFBFF8AF78F76\ F64F63F6LFAaGDdGGfBTW6eL1rIAsFJsDSsNLzROuURpXTk_Wg\ cZbf`YicTlfPphKskFvnAyp6vm9skBpiDmfFjdHgbKd_MaYOZW\ QXUSWRQVPOUMNTKLSHKRFIQCGPAFO7DN5CQ7HT8MV9RYBW`C`b\ DeZCgWBhTAiQ9kN8lK7mH6nE5pB4q83r52sB5qG8pLBoQEnVGm\ `JleMkjPjocitchrccpc_wcWwcSwhOwcKwZGwUMwUSwWYwYbw_\ hwanwcswemwggwibrkXrmSmoMiqHhsGfuFevEdvEcvDawC`wB_\ wBZxAYx9Xx9WuFVrLUoQTmWSmaRmfQmlPmrOmwQmsRmoSmkTmh\ UpdVs`WwXXoUYfQZZM_PIw_jU9BP37wfjK66KA7PE8UIAUMBZL\ CZMEcNFcOGfOIjPJkPKlPMmPNnPOoPPpQcqQcrRcsSctUhuUhv\ UhwUhxZmyZmzZmzZmzcrzcrzcrzcrzhrzhrzhrzhrzmvzmvzmv\ zmvzrzzrzzrzzrzzvzzvzzvzzvzzzzzzzzzzzzzzzzzzzzzzzz\ 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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FOTD 18-04-14 (Sandy Scenery [A-8,M-8])
by Jim Muth 18 Apr '14

18 Apr '14

FOTD -- April 18, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's image lies in a parent Mandelbrot set corrupted by Z^(0.9) energies. In this case, the corruption extends all the way to the parent's surface, where it splits the main spike into fractal chaos. Today's scene is located very close to the X-axis in some of this chaos just west of the split-apart large minibrot. I named the image "Sandy Scenery" because of the well-defined area of near total chaos surrounding the minibrot lying at the center of the scene, well beyond the reach of Fractint . I have rated both the art and math aspects at an 8. I really did put extra effort into the coloring. And the math is kind of a mystery. It is far from obvious why corruption energies less than two have such a dramatic effect on even the surface of the parent M-set, and also why the minibrots of the corrupted parent remain quadratic and do not morph into lower-order ones. The calculation time of 1-2/3 minutes is fast enough to prevent impatience or boredom from arising, but life can still be made simpler by avoiding calculation completely and checking the finished image on the web sites. For maximum convenience, the image has already been calculated and posted to 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 prevailed all day here at Fractal Central, but they were thin enough to let a trace of sunlight through. The fractal cats, who wanted more than just a trace, were spotted crouched in their cat sulk positions several times during the afternoon. The humans, who would have preferred a temperature higher than 54F 12C, took what they could get. The next FOTD will likely not be posted until April 20. Until the moment of bliss arrives, take care, and it's getting so confusing that a person can't tell the good aliens from the bad ones without a program. Jim (not an alien) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sandy_Scenery { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip logmap=-176 center-mag=-1.754416325421651/+0.000014838350617/\ 1.726933e+013/1/-15/0 params=0.9/100/0/0 float=y maxiter=1200 periodicity=6 mathtolerance=0.05/1 colors=00050A50B50C50D50E50F50H50J70L90NB0PD0RF0TH\ 0VJ0XL0ZN0`Q6cTCfWIiZOlaUocZqdcsfhuhmwjrzkvzzzzwlz\ wiqxgiwdbwcXvaVr`SmZPfYM_VLSLYJDKC6ABCAAIAANAATAAZ\ AAAAAAAAAAmRGjWGgaFcfF`lErqEpzCmuAhq8cm7ci6Ze5Ua4K\ X3EP49K4DF5HA5LA5PKFSKPVcZYch`gzVbzPczJczDcz7cz1cz\ 2cz2cz2cz2cz6cz9cMDcNGcOJcQNcRQcSTcT_UYeUbkUgqPlwQ\ pd`cNjRKkOIlMFmJDmHAnE8oC5p93p77mHAjQDgZBbWAcU9cS8\ cQ7cN6cL5cJ4cHCcMKcRScW_c`gceocjwcoaceGzWHtXHoYHjZ\ HeZH`_HW`HR`LQ_PQ_SQZWPZ_PYbPYcSVcUSdWPdYMe_JeaGec\ EaeQZf`wVYtWUrXQoYNmZJk_Fh`Cfa8db5cpbdtbgegjRkmDom\ GpmIpmKqmNqmPrmRrmUsmWsmYtm`tmbumdumgvmivmkvljrkio\ jikihhhgdggaffZeeVdeScdObcLacH`bE_cBScILcPEcW7cb0c\ i3cf6cd8cbBc`EcYGcWJcUMcSOcPRcNUcLWcJXcLYcMZcN_cO`\ cPacQbcRbcSccUdcVecWfcXgcYhcZic_ic`hcagcbfcceccdcd\ dceccfbcfacg`ch`ci_ciZcjYckXclXcldc_lcNtcBqc9oc8lc\ 6jc5hc4dcA`cFXcLTcQQcVMc` } 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 17-04-14 (Antibifurcation [A-7,M-9])
by Jim Muth 17 Apr '14

17 Apr '14

FOTD -- April 17, 2014 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Today's image lies at the western edge of yesterday's morphing minibrot. It is the most striking example of an area of antibifurcation that I have yet found, and this is exactly what I have named it. My definition of an area of antibifurcation is the exact opposite of the area surrounding a minibrot. Instead of the maxiter increasing toward the center, it decreases, while the number of elements is cut in half instead of doubling. When we zoom into a minibrot that lies in the basin of attraction of a larger minibrot, the doubling of the surrounding elements often reaches a maximum, then resets itself to a smaller power of two and resumes doubling from there. This resetting is sometimes referred to as antibifurcation, though I prefer the term resetting. In today's image the art rates a 7, since I see nothing unusually striking in the picture. The math however rates a superior 9, since the entire scene appears to be inside out, with even the colors cycling in the wrong direction. It takes 6-1/4 dragging minutes for the image to finish, a time that could lead some to become impatient and miss the incredible antibifurcation. So if impatience strikes, don't forget the web sites. Find anti-impatience by viewing 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> Glorious sunshine poured down on Fractal Central today, while the temperature of 55F 13C made the outdoors at least a little better than yesterday, though well below the normal high of 66F 19C. The fractal cats wished for further improvement, but the humans made it through the day with no major problems. The next FOTD will be posted in a certain period of time. Until the certainty becomes more specific, take care, and let's live life to the fullest while we're here. After all, we only go around a couple hundred times. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Antibifurcation { ; time=0:06:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-1.777252088172983/+0.00042575899897272\ /1.721917e+012/1/-85/0 params=13/1e+055/0/0 float=y maxiter=12000 periodicity=6 mathtolerance=0.05/1 colors=000koplqrlsumuwmvzmuzlszkqwipthoqgnmfmidkhc\ ihbggaff_eeZddYcdXbcVabU`aT_aSZ`QY_PXZOWYNVYLUXKTW\ JSVIRVJQUKPTLOSMNRNMROLQOKPPKOQKORLNSMMTNLTOLUPKVQ\ JWRIXRIYRHYRGZRF_RF`REaRDbRC`PAbRCcTEdUGeWIfXKgZMi\ _OkaQmbSodUqeWsgYth_ujavkcwmeunftlfskftifthfuffuef\ udfvbfvafw_fwZfxXfxWfxVfyTfySfzQfzPfzLczOfzRhzUjzX\ lz_nzbpzerxfpvfnufmsfkrfipfhngfmgekgcjgahg`ggZegYc\ gXagW_gUYgTWfUUfWSfXQfZOf`MfbKfcIfeHfgGfiGfkFelEdn\ EcpDcrCcsCcuBcwAcyAczEcyHcxKcxOcwRcwUcvYbu`auc`tf_\ tdZrbYqaXp_WoYVmXUlVTkTSjSRhQQgOPfNOeLNcJNbIMaGM`E\ LZDLYBKX9KW9JX8IY8HZ8G_7E`7Ca7Bb7Ac69b68a67`66_55Z\ 54Y53X52W41U40Q40M40I30F30C30930630540430321232343\ 4545656767878A89C9AEABGACIACKADMAEOAFQAGSAHUAIWAJY\ AK_ALaBLcCMeDNgEOiGPkIQmKRoLSqMTsNUzPNwNUuL_sKeqIk\ oHqmIrkJriKsgLseMscNtbOtbPucQucRudSvdTvcSwdUveWueY\ uf_tgatgcsheshgriiqjkqjmp } 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 16-04-14 (Metamorphosis [A-7,M-7])
by Jim Muth 16 Apr '14

16 Apr '14

FOTD -- April 16, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image shows an order-13 minibrot just beginning to feel the effects of the quadratic aspect of the parent fractal, which on the surface is an everyday Mandelbrot set. Today's scene is located in the northern branch of Scepter Valley of the large minibrot on the main spike of the parent M-set. The name "Metamorphosis" simply points out that the central minibrot is starting to change from an order-13 minibrot into a quadratic one. The image is filled with hills of 'antibifurcation' one of which will appear as tomorrow's fractal image. Neither the art nor the math aspects of the image are overwhelmingly exciting, which prevents me from rating either of them any higher than a 7. And the calculation time of 4 minutes is definitely on the slow side. Considering all this, checking the finished image on the web sites could be the best choice. So enjoy calculation freedom. Check the 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> After a morning low of 25F -4C, the temperature rose to an afternoon high of only 46F +8C. The fractal cats were unhappy about the chill and even more unhappy about the angle of the sun, which now merely skims the edge of their shelf. The humans kept busy doing the usual boring stuff. The next FOTD will be posted in about 24 hours. Until then, take care, and wonder what comes next. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Metamorphosis { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.777252088186267/+0.00042575900154386\ /1.608245e+010/1/-167.5/0 params=13/1e+055/0/0 maxiter=2250 inside=0 logmap=748 periodicity=6 colors=000ARcARcARcARcAQdAQeARfARf6Qf0Qg0Pe1Pc2Oa3\ N_4MY5LV6KT7JR8IP9HNAGKAFKAEKADKACKABKAAKzzzxgphYd\ TOTEFHDJTCNcBRoBUzGXrK_kObdSdYZGfdML0L5AFLJ9`S4pQ9\ cODSNHGJFWGEkLRZQcNUoBSlCRjDPgEOeELc9Ia4G`0F5Nb8Qy\ ASt8Qo6Pj4Oe2Nf3Kf3If4Gf4ELcTTSZ_Hcf6h63FW4XL3MA1B\ Oj7BX_6wK4cD2K62gjh5wX3hM2UB1FfVLSKEEA7OMPCBC4Ci39\ Y26N13BG7EC5A837413sBreJskzZ_jQOVHCF8SQgfJwL9UQDtJ\ 9eD6S63ETNCLH9EB6753sylei_SVOEFCT19SP0IG0980FWBAL7\ 5A3j80YjEPZAHN78B3PuXIfOCTG6E8EIp9OK6GD386WzTOjLGV\ E8F7yRv59kWIZG9HcO5UI3KC2A61P6BG28A15502xKgcDTK6EB\ Nc8HU5BK25AmTATCBflKW_FLOAAC5rFHdBCR78D34VI0KC0A60\ x6PIdxCRc6DKmmmVVW2L61F41A3051ETXALO7EG378hjGlvTOT\ EJPfEIW9CL46A8BZ45HediLKNhO3UG2zcUm052m0AUg7hLOMFk\ CpVa6NS4FJ3791QCED674w92cz1K3Uz8Uz6Uz4Uz2UzeUzYUzP\ UzHcz8czNczHczBcz5czVczZczgmzXmzMmzBmzRmzKmzDmz6mz\ UwzVwzFwzjwzNwz6wz3wz2wz1 } 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 15-04-14 (An Unexpected Answer [A-7,M-7])
by Jim Muth 16 Apr '14

16 Apr '14

FOTD -- April 15, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is located very deep in the chaos just beyond the large minibrot on the main spike of a Mandelbrot set severely corrupted by cubic energies. I named it "An Unexpected Answer" for no logical reason. And why not? Fractals have no logical reason for existing in the first place. The art and math aspects both rate a satisfactory 7, which will seem even more satisfactory when the image finishes calculating in a fireball one minute. The fire may be avoided by viewing the finished image on one of the FOTD web sites. The finished image is posted 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> Heavy clouds and steady rain spoiled any slim hopes of outdoor activity here at Fractal Central today. The temperature fell from a high of 68F 20C at 6am to a low of 36F +2C at post time, with a forecast low tonight of 23F -5C. The fractal cats disapproved heartily of the sudden chill and asked for an extra treat of tuna to raise their spirits. The fractal humans, still with doubts that the right suspects were apprehended in the Boston bombing, were rather morose today, the day of the first anniversary. The next FOTD will be posted in the near future. Until then, take care, and rest easy. Big Brother is on watch. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= AnUnexpectedAnswer { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.758504139876508/+0.00115251247691806\ /9.417661e+012/1/144/0 params=3/25/0/0 float=y maxiter=360 inside=0 logmap=104 periodicity=6 mathtolerance=0.05/1 colors=000B00D00F00H00K00N00Q00T01W02Z03a04c35e66g\ 87iB8jD7lG6mI6nL5pO4qQ3rT2tV1uYAv_KqeUmkcimmerzivz\ mzvmzrmzmrzhwzcwmZwcVOUTMKRKAOM0MK0KK0NNHPUIRWJUYJ\ W_KYaL`dMbgNdjNgmUirZkvcnzhzzjzzpzzzfmZziaWgdRffLe\ iGdlAcn5bK_`KY_KWZKVXKTWKSVKQTKOAKNAKLAKKAKIAKHAQG\ AOGPMFQKFQIFRGEREESCDSADT8DT6CU4CU3CU3BT3AT28aVP`X\ ObZMc_Ld`KeaJfbIgdHheGifFkgDlhCmjBnkAol9pm8qn7ro6o\ lBmiGjfKhcPz`TzYYzVazSfzPjzMozKszQlzVez_ZleSqjLvoE\ qnCmmBimAdl9`k8mk7mj6mi5mi4mh3mh2mfEmdPzc_zcjzcuzo\ pzloziozfnzcnzcmzcmzclzclzckzckzcjzcjzcjzcdzc_zcVz\ cQzcLzrGrxBswDsvFsuHstJssLsrNsqPspRsmTsmVsmXsmZsm`\ smbszcozblzahzaez`bz_Zz_WzZSzZPzYMzXIzXFzWCzWFzXIz\ YKzYNzZQzZSz_Vz_Yz`_z`fzbmzdtzfzzgwzfuzfszeqzeozem\ zdkzdizdgzcezcczcazb_zbYzb_zdazfczhezigzkhzmjzolzp\ nzrpztrzvszwozpkzipzmuzqzztfzbNzL3z34z85zD6zI7zN8z\ S9zXAzaBzfCzkCzoDzmEzlFzj } 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 14-04-14 (Buried in Chaos [A-7,M-7])
by Jim Muth 14 Apr '14

14 Apr '14

FOTD -- April 14, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's scene in the Mandelbrot set has been dredged from the surrounding chaos, which is why I named it "Buried in Chaos". To find the scene, start at the center of the large period-3 northern bud of the M-set and travel north through the smaller buds until you reach the filament. Then set out along the filament until you come to the point where it branches into two filaments. Take the western branch until you reach the large minibrot. Advance to the large western bud of the minibrot and check the chaotic northwestern shore line of this bud. Search for a certain smaller minibrot buried in this chaos, then zoom in on the northern branch of its Seahorse Valley. Today's scene lies in this valley. If you are still not lost, you will find the tiny minibrot at the center of today's image surrounded by apparently featureless chaos. At first glance, the scene looks hopeless, but proper coloring will reveal the almost totally hidden features that are visible in today's scene. The art and math both rate a 7. The art earned its points because of my extra efforts, the math, because the area is usually passed over. The image finishes in a speedy 2 minutes, but this time will vary widely on different machines. For an insignificant increase in resolution, calculate the scene using arbitrary precision math and sit back to wait many hours instead of a couple minutes. Luckily, the web sites can remove the need to make such big decisions. The finished image is posted 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 warm weather continued here at Fractal Central today, as the temperature reached 77F 25C under a mix of sun and clouds. Only an overly brisk wind kept the day from being perfect. The fractal cats grew alert when a tough looking tabby tomcat wandered into the yard, but when the intruder wandered off, they settled down and made it through the rest of the day peacefully. The fractal humans made it through the day also, though perhaps not quite as peacefully as the cats. Unless something unexpected comes up, the next FOTD fractal image will be posted in roughly 24 hours. Until then, take care, and a petition was recently submitted to the Washington Post, demanding that the newspaper stop printing articles that question global warming. The petition had gathered 100,000 signatures! It's comforting to know that Big Brother's minions are still alive and hard at work letting us know what is good for us. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Buried_in_Chaos { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-0.1628\ 2506304104240/+1.039286333915032/1.046759e+012/1/\ -5/0 params=0/0 float=y maxiter=75000 bailout=9 inside=0 logmap=-12700 mathtolerance=0.05/1 colors=000cKKcKJcLJcMIcMHdNHdNGeOFfOFgPEhPDiQDjQHk\ RGlRFmSKmSJnTInTIoUHoUGpVGpWFqXJqYJrZIr_Hr`IraIrbI\ rcJrdJreIrfIrgHrhGsiFwjKwkNwlQwmTwnWvoZupbtqcsqhrq\ mqqrpqvorznszmtzmuzmvzmwzmxzmyzmzzmzz40A50A60A70A7\ 0A85986A86A87A97BA7BB8BC8BE9CF9CG9CIADKADMADMBDSBE\ SCESCETCFTDFTDFTDFUEGUEGUFGVFHVFHVGHVGHWHIWHIWHIXI\ JXIJXIJXJJYJKYKKYKKcKLcLLcLLcLLdMMdMMdNMeNNeNNeONe\ ONfPOfPOfPOgQPgQPgQPgRPhRQjSQjSQkSRkTRkTRmVPlUQlTR\ lSSlRSlRTlQUlPUlOVlNWlNWlMXlLYlKZlKZlJ_lIalJclKelK\ glKilKklKmlKomKqmKsmKumKwoKxoKyoKzoKzwKzwKzwKzwKzw\ KzwKzwKzwKzwKzwKzwKzwKzwKzwKzwKzwKzwUzwUzwUzwUzwUz\ wUzwUzwUzwUzwUzwUzwUzwUzwUzwUzwUzwZzwZzwYzwYzwYzwX\ zwXzwXzwXzwWzwWzwWzwVzwVzwVzwUzwczwczwczwczwczwczw\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 13-04-14 (Queen Anne's Lace [A-8.5,M-4])
by Jim Muth 13 Apr '14

13 Apr '14

FOTD -- April 13, 2014 (Rating A-8.5,M-4) Fractal visionaries and enthusiasts: Today's image is all art, which rates an excellent 8.5. Without the unique color palette, which was created by myself, the image would be just another rather deep scene in one of the more chaotic parts of the northwest shore line of the main bay of the Mandelbrot set. The math rating of a deficient 4 shows the lack of originality of the math aspect. My first impression of the fractal was that of a Queen Anne's Lace flower, which is the name of the image. The magnitude of the scene is not all that great, but is is large enough to make arbitrary precision math necessary, slowing the calculation time to a crawling 30 minutes. Luckily, the web sites can eliminate the job of calculating the image from scratch. So save the half-hour by viewing 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> Spring arrived in full force today here at Fractal Central as the brilliant sun pushed the temperature to a high of 81F 27C. The fractal cats took full advantage of the sun, which to their displeasure is now reaching too high an angle in the afternoon hours to cover the entire shelf. The fractal humans also took advantage of the warm weather but did not care too much for the techno-rap 'music' coming from a nearby party. The next FOTD will soon be posted. The most likely time will be this same hour tomorrow. Until whenever, take care, and I guess one must be younger than 30 to appreciate the so-called 'music' that young people are currently 'enjoying' today. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Queen_Anne's_Lace { ; time=0:30:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-0.568735652949339182235/0.457321058112\ 789029035/1.44e+016/1/-115/0 params=0/0 float=y maxiter=7200 bailout=9 inside=0 logmap=-1074 colors=0000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000001101102202203303304404405505506606607707\ 70880880990990AA0AA0BB0BB0CC0CC0DD0DD0EE0EE0FF0FF0\ GG0GG0HH0HH0II0II0JJ0JJ0KK0KKALLALLAMMAMMANNANNFOO\ FOOFPPFPPFQQFQQKRRKRRKSSKSSKTTKTTKUUPUUQVVQVVQVVRW\ WRWWSXXSXXTYYTYYUZZUZZV__V__W``W``YaaYaaZbb_bb`cc`\ ccbddbddceedeeeffeffgggggghhhhhhiiiiiijjjjjjkkkkkk\ llllllmmmmmmnnnnnnooooooppppppqqqqqqrrrrrrsssssstt\ ttttuuuuuuvvvvvvwwwwwwxxxxxxyyyyyyzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 11-04-14 (Boltzmann Brains!! [A-7,M-7])
by Jim Muth 12 Apr '14

12 Apr '14

FOTD -- April 11, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: I have heard of Boltzmann brains but I never thought I would see one. Today's image, which lies on a twisted filament extending from a bud on the southeast shore line of the main bud of the Mandelbrot set has made me a true believer however, for lo and behold, there are eight of these pathetic accidental and lonely creatures gathered around the central minibrot in today's image. And I think I can see many more brains huddled farther in. Boltzmann brains (check them on the internet) are hypothetical entities that randomly fluctuate out of the quantum jitters of an infinite empty space at maximum entropy. They might or might not resemble human brains, but somehow they are conscious and imagine themselves to be located inside a physical body which is surrounded by an immense universe of relatively low entropy. The end result of this line of thought is the absurd assumption we are all merely imagining the outer world, and nothing but our own minds (and fractals, of course) are real. I doubt that anyone actually believes in Boltzmann brains, but ever since the discovery of dark energy, they are where the rational study of time and entropy has been leading us, and it is hard to see how we might get out of the conundrum, (if it actually is merely a conundrum and not, gasp, reality). Madam Zucchini, who talks to spirits every day at her fortune- telling shop down on the corner, makes better sense than many of today's so-called scientists. No wonder I have lost my youthful enthusiasm for science. The name "Boltzmann Brains!!" is self explanatory. The art and math ratings are both somewhat above average, though not high enough to justify the 13 minutes required to calculate the image. This is where the web sites charge to the rescue. Be the brainiest guy in town. Avoid the calculation delay by checking the finished image on the FOTD web site 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> Heavy clouds moved in overnight here at Fractal Central, and the rain arrived just after lunch. The fractal cats enjoyed the temperature of 63F 17C as much as possible from indoors, but would have preferred the sun. The fractal humans were too busy with other things to concern themselves with a rainy afternoon. The next FOTD will probably not be posted before April 13, two days from now. Until then, take care, and hey!, it's not so bad being a Boltzmann brain. Jim (bring on the ghosts) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Boltzmann_Brains!! { ; time=0:13:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-0.8335\ 331719560557432/-0.23097133205008341002/6.755e+014\ /1/40/0 params=0/0 float=y maxiter=3500 bailout=9 inside=0 logmap=597 colors=000RKJRKIQKHQKFPKEOKDPKBOKAPK9TKDUKGUKJUKMU\ KQUKTKKWKKZKK`KKbKKdKKfKKhKKjKKlKKmKKoKKqKKUKKUKKU\ KKUKKUKKUKKUKKUKKUKKUIKTIKSHKRDKN9KI5KE1KA8KCBKDBK\ ECKICKMDMPCOTAQX8S_7UZ6WY6YX5_X5aW4cV4eU3gU3fT2fS2\ eR1dR1dQ0fP0iPFlQTmQgjQlhQmgTmfVjfXfdZb`a_XcWUeTQg\ PNjLKlIGnEDpBArCEsCItCLtDPuDSuDWvDZvEbwEfxEixFmyFp\ yFtzFwzLruQmpVhl_cgdZbiUZnPUsKQoOOkSNhVMdZL`aJYeIU\ hHQlGNoFSnIXmL`lOelRikUnjXrjZqgXpdVpbTo_RnXPnVNmSL\ lPJlNHkKFkIDVSGEaIIcJMeJQgKUiKYjK`jQcjWfjahjfgkbgl\ _fmWfnTfnQeoMepJdqFdrCdq9do8dm7dk7di6dg6de5dc4d`4d\ W3cP3aH2ZB1W71Q30M00J46G7BEAHUAMZASXFXWGbVHgUImTJr\ SKpSLnSMlSOjSQhRSgRVeUYcU`acd_chZcowctwczwmzmmzrmz\ zmzzmcmmTcmHUo6Wn8WnAWnCWnEWmGWmIWmKWmMWlIUpUSpUQo\ UOocNrcPrcQrcRrcSrcTrcUrcVrcWwhXwhYwhZwhRwhcwhcwhc\ whcwrmwrmwrmwrmwrmwrmwrmwrmwzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 10-04-14 (Coronal Discharge [A-8,M-6])
by Jim Muth 10 Apr '14

10 Apr '14

FOTD -- April 10, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image is a simple deep dive into the Mandelbrot set. The scene is located on a filament extending northeast from the large northern bud of the large minibrot on the main stem of the M-set. I named the image "Coronal Discharge" because of the bluish aura around the outer rim of the minibrot pattern. (This might not be the first FOTD with this name.) The extra effort I put into the coloring earns the rating of an 8. The extreme depth of the scene raises the math rating to a 6. The calculation time of 19-1/2 minutes is quite reasonable for a scene at a magnitude of over 10^(26), but the slowness is still a drag. Checking the image on the web sites is more fun and saves most of the time. The finished image is posted on the 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> Full sun and a temperature of 66F 19C brought spring to the Fractal Central doorstep today. The fractal cats spent the afternoon chasing the sun around the room, while the fractal humans chased the work. The next FOTD will be posted in the appropriate time. Until whenever this might be, take care, and the mass stabbing at the Pittsburgh school was outrageous. We must do something to put an end to this senseless violence. Let's pass legislation to keep kitchen knives from the hands of people with mental and emotional problems. . . . Or maybe we should first try to figure out what is wrong with our modern culture that is creating such violence in our schools. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Coronal_Discharge { ; time=0:19:30.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-1.7551432400195\ 423935544486000208/0.01629740460602442248495329160\ 701/1.747468e+026/1/142.5/0 params=0/0 float=y maxiter=11000 bailout=9 inside=0 logmap=797 colors=000A0cA0cA1cA1cA2cA2cA3cA3cA3cA4cA4cA4cA4cA\ 5cA5cA6cA6cA6cA7c97c88c78c69c59c5Ac5Ac6Bc6Cc6Dc6Ec\ 6Fc7Gb7Ha7I`7J_7KZ6LY7M_7N`8Ob8Pc8Rd9Uf9Xg9_hAbjAd\ kAglBjnBmo9prBouCnwDmzFmzGlzHkzJjzKjzLizNhzOgzPgzR\ fzSezTdzXczUdzSezQfzSgzUgzWhzYiz_jzajzchvegrgemjdh\ mecpfZqgUrhPriKsjHskEtlEtmEuoEtqDusEvuFwwFxzGyvGzm\ HzcHyUIyKIxCIx0I00T9AUFKWLRYQT_WV`aXbfZdl`fs`fqagp\ bgochndhmehkfijgiihjhijgjjekkdlkcmlbnlaolWebQWUKMK\ ECBAAACzmHthNpcSmZOhULeOHaHEWACK6AC3000l_Rzzztvznr\ vinrckoYgoTcoN_oIXoIcbIjRIqFMEeN7gTA_YCScFKhHDs8Hz\ zlvulrqlmmlhilcczTcDocAtZ8cXAOVC8TEMMQZFak8mx2xm7k\ cC_UHOKMCFG7AA2DGBFLJHQRKWZM`fOenZdcqQGqMNqITqE_tC\ gqBenAdkAchUbhUahU`iU_jUZkUYkUXmUWmUWmUVmUVmUUmcUm\ cTmcTmcSmcSmcRmcRmcQmcQmcQmcPzmPzmOzmOzmNzmNzmMzmM\ zmLzmLzmNzmszmszmszmszmszmszzszzozzlzzizzfzzczz`zz\ YzzUzzRzzOzzLzzIzzFzzCzz9 } END PARAMETER FILE=========================================

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FOTD 09-04-14 (Ghostly Attractor [A-7,M-4])
by Jim Muth 10 Apr '14

10 Apr '14

FOTD -- April 09, 2014 (Rating A-7,M-4) Fractal visionaries and enthusiasts: Today we return to a type of fractal I was working with quite a few years ago. The image is a scene in a perturbed Z^2+C Mandelbrot set. It is located at the edge of the inside of a minor bud on the southwest shore line of the main bay. The half obscured blue and white buds in the background are actually part of the classic M-set itself. The reddish spiral arms in the foreground are the trails of points that have escaped before being trapped in the remnants of the buds. What we have here is a demonstration that the points in a perturbed M-set, if they do not escape first, will ultimately fall into the same orbits as points that originate at 0,0. The points in today's image for example originate at 0.7,0.2. I named the image "Ghostly Attractor" because of the ghost buds and also because despite my skeptical nature, I find ghosts quite interesting and not at all unlikely to be 'real'. The art rates a 7, since the image is not all that great. The math rates a 4. After all, how unique can the math of the Mandelbrot set be at this point of the fractal era. The calculation time of just under 2 minutes is slow for a scene in the Mandelbrot set. The culprit is the maxiter of 250000, which slows things down in the lower part of the image, but this maxiter was necessary to get full definition in the ghost buds. The web sites can greatly cut the length of the wait to see the image however. Escape the life of endless waiting. 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> Today here at Fractal Central, which is the almost-real central headquarters of the FOTD, spring gave signs that it was finally ready to arrive. The brilliant sun, gentle winds, puffy white clouds and temperature of 61F 16C was just what any doctor would have ordered. The fractal cats soaked up all the sun they could find, and chased each other up and down the hallway when the sun was at the wrong angle, while the fractal humans made the most of the pleasant conditions. The next FOTD will be posted before too long. Until that moment of truth arrives, take care, and try to avoid the cognitive instability that arises when we assume something that undermines the argument that justified our assumption in the first place. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Ghostly_Attractor { ; time=0:01:50.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-0.5769\ 768387/-0.4519133225/5218/1/146.7/0 params=0.7/-0.2 float=y maxiter=250000 inside=0 logmap=200 colors=000yi0xh0xh0xh0xh0uf0re0oc0lb1i`3h_6eY8bWB_\ VDWUGVSHSRKPRMMPPJOSHMUEKWBJY8H`4Gb3Ee0Df0Bi09k08m\ 08o0Bp6DrEGsMHuUJv`MxhOyoRzvSzzUzzVzzVzzVyzVxzVvyV\ uyWsyWrxWpxWpxWovWmvYlWYkWWiWUhWRfWReWKeWKcWDbWD`W\ D_WDYWEWWEVWEUWEUWESWERWGPWGOWGMWGKWIJWKHYHHYHG`FE\ `CD`FB_C9_98_66Y94YE4WH3WE1WI0V80VA0V80UI0U80UI0S6\ 0SH0S60RH0R60RH1P43PF4P66PF8O89OFBO8BMEDM9EMJFKBFK\ JGKBGKHHJ9JJHKJ9MHHNH9PHFPG8QGFRG8TGFVE6WEGYE7ZDG`\ D9aDJcDBdBLfBBfBMg9Fh9Nj9Ik8Om8Jn8Np8Jq6Js6Ht6Hu4H\ u6Hu6Ju4Ku6Mu6Ou6Pv6Rv6Sv6Uv6Vw6Ww6_w8bx6ex6hx6ky6\ my6py6ry6sz6uz6vz6xz6yz4yz4yz4yz4yz4yz4yz8yzByzEyz\ HyzKyzOyzRyzUyzWyz_yzbzzezzhzzkzzkzzkzzkzzkzzkzzkz\ zkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzyzzyzzyzzyzzyzzyzzy\ zzyzzyzzyzzyzzyzzyzzyzzyzzyzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Fractint's Parameter Explorer/Evolver showing 81 perturbed M-sets
by Hal Lane 10 Apr '14

10 Apr '14

My April 9th, 2014 entry has an image, CRITDEMO.jpg, where I used Fractint's Parameter Explorer / Evolver to show a grid of M-sets perturbed away from the critical value of (0,0). Jim's FOTD is a zoom into a perturbed M-set. Jim's perturbed M-set and an interesting sequence of zooms into it are shown in the center column of April 9th's entries. The CRITDEMO.jpg image is on the row with F140409.gif at the far left. The real-perturbing value varies left to right in the image; the imaginary-perturbing value varies up and down. When I look closely at that image, I think that the center fractal did not have the non-perturbing critical value of (0,0). Thanks again for keeping my counters up to date by clicking April, 2014 on my main page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 07-04-14 (The Past Returns [A-6,M-5])
by Jim Muth 08 Apr '14

08 Apr '14

FOTD -- April 08, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^(3.05)+C Mandeloid as it appears at ground level of the hyperladder with no function applied. The prominent minibrot at the center is a near exact copy of the parent fractal, which has the same orientation. Today's image is located in the blunt northern branch of the valley leading to the eastern bud. I named the image "The Past Returns" because it is the kind of stuff I did long ago when I was just discovering fractals. (Strangely enough, I am still just discovering them even today!) The art rating of a 6 and math rating of a 5 shows that the image is a rather routine one, though the fireball calculation time of 30 seconds will take a lot of sting out of the task. And as always, the web sites are ready to take all the sting from the calculation. The image may be viewed on the FOTD web sites without the job of calculating it. The web sites are 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> Dark clouds and blustery winds spoiled the day here at Fractal Central. A little sun did manage to break through in the afternoon, but it was too little and too late. The temperature of 55F 13C would have been fine had it not been for the clouds and wind. The fractal cats had a relatively quiet day, except for a friendly tussle they got into around lunch time. The fractal humans had a normal day of wondering what has gone wrong with the world in the 21st Century. The next FOTD will be posted in roughly 24 hours. But this is not etched in stone, so do not be too disappointed if it does not appear. Until whenever, take care, and the latest breaking news on the missing airliner is that there is nothing new to report. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Past_Returns { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.8100388496415922/-0.0180164699522101\ /8.299791e+012/1/77.5/0 params=3.05/0/0/0 float=y maxiter=1600 inside=0 logmap=67 periodicity=6 mathtolerance=0.05/1 colors=000qEqrFpsGltHhuIdtJ`sKXrGTqBOp6Dp2Am67jABg\ EGdILaMQZUUWZZT`cQchNfmKjrInvIozHmzGkzFhrEemDbcJUk\ IUmHP`GKbFAdECfDFhCHjCJmBLpAOu9Qz8Sz7Uz7WvDYrJZmP_\ hV`Z`aSfbMlcGrdAmFIcDDbL9ST4S`0T_1UZ2VY3WX3XW4YV5Z\ U5_T6`S7aR8bQ8cP9dOAeOAfU5gW1hY6i_BjaFkcKlePmgThhY\ iiajjfkkkllommtnmxnmtmmplmlkmhjmdjm`imXhmTgmPwmLwm\ HwmIwmJwmJwmKwmKwmLwmLwmMwmMwmNwmNwmNwmNwmNwzNwzNw\ zNwzNmzNwmNwmNwmNwmNwmNwpNwsNwvNmsMwpMwmMmrzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzKzzLzzMzz\ OzzPzzQzzSzzTzzUzzVzzTzzSzzQzzPzzNzzMzzTzzTzzTzzTz\ zTzzPzzMzzJzzGzzCzz9zz6zz3zz7zzBzzEzzIzzMzzPzzTzzX\ zz_zzczzKzzKzzKzzKzzLzzKzzKzzKzzKzzzzzzzzzzzzzzzzz\ 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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Paul N. Lee
by Barry Smith 08 Apr '14

08 Apr '14

This is off topic, but I don't know what else to do. After my 'thank you' post there were many responses, including one from Paul N. Lee. I sent him a personal e-mail (off the list), which he received, and he sent me a reply. When I sent a response that I had prepared off-line, it bounced, with a message saying that I was blacklisted. Any ideas? *Barry W Smith* 7 Gidabal Street, Aranda ACT 2614, Australia Tel +61 2 6251 2119 e-mail barrys(a)grapevine.net.au

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FOTD 07-04-14 (An Inner Ringworld [A-8,M-6])
by Jim Muth 07 Apr '14

07 Apr '14

FOTD -- April 07, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: The expression behind today's image mixes one negative part of Z^(-1.01) with an equal negative amount of Z^(1.01) before adding (1/C) on each iteration. This strange mixture creates a parent fractal resembling a Mandelbrot set with its main bud cut off and the other buds pushed far around toward East Valley. Today's scene lies rather deep in this East Valley. The name "An Inner Ringworld" was based on the tendency of the parent's radicals to extend outward and curve around toward an attracting point at +0.5 on the X-axis. The art rating of an 8 makes the 4-1/4 minute calculation time marginally worth the result. The math rating of a 6 indicates that we have been to this part of the fractal universe several times before. Viewing the finished image on the web sites can increase the bargain aspect, though it will do nothing for the math. Today's fractal wonder may be viewed without effort in finished form 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> Heavy clouds and rain prevailed all day here at Fractal Central today, with the temperature hanging around a very chilly and un-springlike 41F +5C. The fractal cats checked the conditions with disgust, turned away and decided to take their naps. The fractal humans, who are still waiting for the first sign of green leaves on the trees, were too busy to waste time being disgusted. The next FOTD fractal image will be posted, most likely around this same time tomorrow. Until whenever, take care, and the things being theorized and actually discovered by present day physicists are on the verge of cognitive instability. Maybe it's time to rethink the entire scientific paradigm. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= An_Inner_Ringworld { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.3579297947913825/+0.0001708364055951\ /4.2202e+010/1/88/0 params=-1/-1.01/-1/1.01/0/0/0/0 float=y maxiter=2250 inside=0 logmap=306 periodicity=6 mathtolerance=0.05/1 colors=000K0OK0OK0OK0NK0NK0NK6MKBLKGKKLKKKJBOUMUcf\ dmZizhnmismixmgvmftmdrmcpmbnm`lk_jiZhgXfeWdcVbaT`_\ SZYRXUPVPNTKLRCJQ9IO9GK8EL7CG6BH68D45C22900706B5CF\ AIEFOMLTPPYSTbUXgValXeqSiwVmsXnpZonYokYpiYqfWqdVra\ UsZSsXRtUQuSOuPNvNMvMOuLQuKRuKTuJVuIWuHYuH_uG`uFbu\ EduEeuHesKerNeqQepSeoVenYem`elbekeejheikehmegnfeng\ cogaoh`oiZpiXpjVpjUqkSqlQrlOrmNrnLsnJsoKsoKqqUprUp\ scptcqvmqxmszsszswzzzzzKUUThPObFUcJZcNddRidVndYohP\ plGpp76DwLB0UE7YGEeJLcLS4UEfWEnZSuaeg`nU_w4uIInNWh\ RibWwX_iVbXUeJTh6SjIerUszfi`r`CShY2psHjgWeWj_KxV9Z\ eQApe7bV5QLRQP2DAU3UK2KA1ADwWi__NIIzzehu`ZfRUTIKE9\ 40bA0KzTrfJ_U9IdUfKLLCaO9SI6JC3963oX1QGVnRf5oTOOLI\ IECC766leA_V7OL5CA2_sZReQISH9E8ZUuQUfHUT8UEcUFPUNC\ UBWUoGcQEct9ca4cJ6c44c33c21c1UmJUmEUm9Um4UmUUmFUmF\ UmBcz7cz3czoczYczzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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 06-04-14 (Cozy Quadrilateral [A-8,M-5])
by Jim Muth 07 Apr '14

07 Apr '14

FOTD -- April 06, 2014 (Rating A-8,M-5) Fractal visionaries and enthusiasts: The formula behind today's image combines 2.475 negative parts of Z^(-1.05) with 0.275 negative part of Z^(-5.5), then adds (1/C) on each iteration to produce a parent fractal that consists of a hugely oversized near circular bay with two large buds on its west side and a large near-circular extra bay where its East Valley should be. Today's scene is located in the action around this extra eastern bay. The name "Cozy Quadrilateral" has little to do with the image except to point out the roughly four-sided semi-chaotic area surrounding the central minibrot, which lies nearly invisibly at the center. The art rates an 8, helped by the slate gray features in the outer parts of the image. The math rating of a 5 indicates that such scenes have been common in FOTD images for at least ten years. The calculation time of 9-1/4 minutes is inexcusably slow, but relief from the resulting impatience may be found on the FOTD web sites. The finished image is posted 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> Total sun prevailed all day here at Fractal Central, while the temperature reached a rather pleasant 55F 13C. The fractal cats took full advantage of the sun, Nicholas on the shelf, Jasmine on the scratching post. The humans, still pondering the world situation and our pseudo-freedom, passed the day preparing for the belated but inevitable blossoming of spring. The next FOTD will likely be posted in 24 hours, but I am not a fortune teller, so this is no guarantee. Until whenever, take care, and big brother knows what is best for us. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Cozy_Quadrilateral { ; time=0:09:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-3.216611489264438/+0.5748460602506118/\ 3.97213e+011/1/69/0 params=-2.475/-1.05/-0.275/\ -5.5/0/0/0/0 float=y maxiter=5000 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000hfcfdbecadb`ba_a`Z`_YZZXYXWXWVVVUUUTTTSS\ SRQRQPQPOOOMNNLMMKLLIKKHMJGIIIMJHJJJMKLMMMONOPOQRQ\ RSRTUSVWUWYVY_W_aYacZbf_dgafkdgkhiomlornsvqsztuzww\ zwzzwzzwzzwzzrrzrrzmozmmzamzemzjmzkmzlmzmmlimmfmmc\ mm`nmYnmVonSonPpnLqnIrnFroCqo9qo6po3po0oo2on4no6mq\ 8lsAkuCjwEixFhzHgzJfzLezNdzPczRczSbzUazWazY`z__za_\ zcZzdZzbYzaXz`Wz_WzZVvYUvXUrUTrTSmRSmQNhOQhOJ`LF_L\ GZH5TGESF0REBOD0PG7MB0NCA4A57CAFFBKHCPMDUUKZYLc_Lh\ cMmfMrhNvjNzmOzpOzsOzvOzuOzlHtgGobFiYEdTDZOBUKAOG9\ JC8D87846355555655855955A55C55D54F54G54H54J54K54M5\ 4N54OA8PFCQKGRPKRUOSZSTcWUgZUfYTfYTb_W_`YWa_TcbPdd\ MefBSIBTJBUJAUKAVKAWLAXLAXLBWMCVNCUNDTODSPERPEQQFM\ RGIR0ES0AT00T00U00U00U00U00U00ULEmMDZMCmLDYKdzJDYJ\ EwIEYUUzGFXGFwFFXEUzDGXDGwDESDDmDCmDBmDAmD96D82F76\ H79J6CL6FN5IP5LR4OT4RV3UX3XZ2_`2bb1ec1hb3ga5f`7e_8\ d_AcZCbYEaXFaeRSfVVgZYhb` } 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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Thank You
by JackOfTradeZ＠comcast.net 06 Apr '14

06 Apr '14

. Barry, Nice pleasant words - thank YOU! Stay on board - the Universe of Fractals is only gonna get better in the coming years! I like the Classic Baroque also - that's why I use it! JoTz .

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FOTD 05-04-14 (The Infinite Beyond [A-7,M-6])
by Jim Muth 05 Apr '14

05 Apr '14

FOTD -- April 05, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image came about when I subtracted 2 parts of Z^(1.5) from 2 parts of Z^(2.5) and added C on each iteration. This simple combination produces a parent fractal vaguely resembling a Mandelbrot set with its west half split apart, leaving two prominent period-2 buds. The western shore line between these buds consists of all new stuff, with today's image lying in this new stuff, close to the valley leading to the northern period-2 bud. The terraced effect was created by the 'tdis' outside option. The name "The Infinite Beyond" could be true of any fractal, since almost all fractals continue on forever, without limit. The art rating of a 7 is a come-down from recent efforts, but still makes the image worth a look. The main drawback is the admittedly slow calculation time of 9 minutes. A much easier way to see the image may be found on the web sites. This easy life may be enjoyed by checking 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> Today here at Fractal Central began with clouds and blustery winds. The clouds broke in the afternoon though the winds continued through the day, making the temperature of 43F +6C feel like anything but spring. The fractal cats would have preferred more sun; the humans took what they could get. The next FOTD will be posted soon. Until whenever, take care, and the things that modern physicists are theorizing seem more incredible than the wildest claims of the old-time pseudoscien- tific charlatans. In fact, with all the quantum and multiverse stuff that can never be observed or tested, I sometimes wonder if the work of modern physicists can still be considered a legitimate aspect of the traditional scientific method. Perhaps we need an entirely new discipline, which considers unobservable things (and why not spirits also) to be as real as the material we see around us. Then we might join the discipline with traditional mysticism and name it something like mystiscience. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_InfiniteBeyond { ; time=0:09:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.297195839453691/+0.2155671346953684/\ 1.140059e+010/1/55/0 params=2/2.5/-2/1.5/0/0/0/0 float=y maxiter=4000 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=0000G00E02B0593978D5EH5JL5RP5XR5UR5SS5RS5OU\ 5MU5LW5JW5HX5FX5EZ5BZ5A_59_58X56U55R54O54L53J62H81\ E91BB09E08G05I03K01N00Q00R0Ef3ZvDwzzqzznzzhzzdzzaz\ zXzzUzzPzzMzzJzzFzzDzzAzzBzzDzzEzzEzzFzzHzzHzzIzzJ\ xzJxzLvzMtzMtzRmzUhzXaz_XzcR4hN9lIEoEJs9Pw6Wz5ay5L\ w58u50s50l80dB0_G3UK9OOFJUMEZUAca9TS9KJ9BD85585085\ 0B50E50I50L70OA0SF0WJ0_O0cT0fZ0lc0oi0so0uf0wZ0yR0z\ M0zF0z92z55z58z5Bz5E0DZ0FL0IA0K10N00Q00K00FD0AW0BX\ 0BZ0D_0D_0Ea08WF5FF5FF59F5BF5CF5CK5FK5AF8BL53J50I5\ 0I50I50I70I90ID2IF5II8IKBIOFIRIIUMIXRI`UI`UIZSIZSL\ WUMUUPTURRUSOWWNWXMWZKW_OZaUacZddchhdcjfZlhWoiRqkO\ smJwoHyqHzsHztHzvzwxzozzhzzlzzlzzlzllzulzzuzzzzzzz\ zzzzzzzzzz25D05D05D05D0Z00R00M0003U0cR0PP0CN08K08F\ 0EK0DAERFGRLJRRMPXOXcTXjWWqZWyaczdczUhuMnqEsl7yf5z\ c5zU5oL5ZD5J5560500500500E00I00F10D50A908D0BI09M07\ R0AX08a07f0B00A00900K00K0 } 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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Re: [Fractint] Thank you
by Jim Muth 05 Apr '14

05 Apr '14

At 01:32 PM 4/5/14 +1100, you wrote: > >In turn this prompts me to say a BIG THANK YOU to > >The Stone Soup Group, and those like Tim Wegner who are still working away > >Others like Richard who have built new software > >All those like Jim Muth, Paul Lee and Hal Lane who have discovered >fractals, enhanced them, and maintained great web sites, and now of >course Albrecht > >People like Jack of Iradez who have posted animations (I especially like >those with baroque music) > >... and the rest of the Fractint community. > >THANK YOU > >*Barry W Smith* I guess some of us just can't help it. We're addicted. As for myself, I failed to heed the caution at the end of the preface to the first edition of the book 'Fractal Creations' written by Tim Wegner and Mark Peterson, and published in 1991. The caution reads: Please be careful because the beautiful fractal patterns created with Fractint have been known to induce hypnotic states. Use [Fractint] with care! Jim Muth

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FOTD 04-04-14 (Highly Charged [A-9,M-4])
by Jim Muth 04 Apr '14

04 Apr '14

FOTD -- April 04, 2014 (Rating A-9,M-4) Fractal visionaries and enthusiasts: Today's image lies in a filament extending northwest from the main bud of a minibrot on the main spike of the Mandelbrot set. The minibrot is the first large one beyond the main body of the M-set. The math rating of a 4 indicates that the Mandelbrot set, though infinite, is still the most explored and familiar fractal of all. The art rating of a 9 reflects the extra effort I put into working up the smooth greyish-green coloring of the otherwise routine scene. The down side of the image is that the magnitude of over 10^(15) is beyond the range of conventional high-speed math, making the image with its calculation time of 25 minutes a quite slow one. The up side is that the FOTD web sites can reduce the wait for fractal satisfaction to next to nothing. So find that satisfaction by checking 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 heavy clouds and occasional rain that prevailed all day here at Fractal Central made the day rather unpleasant. The temperature of a raw and chilly 46F +8C simply added to the unpleasantness. Early in the day, the fractal cats knew they would see no sun, while the fractal humans had little time to concern themselves with the sunless conditions. The next FOTD will be posted in a day, or more likely two days. Until whenever that wonderful moment arrives, take care, and every time someone tries to honestly address a social problem, someone else gets offended and nothing is accomplished. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Highly_Charged { ; time=0:25:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-1.4821\ 754636566124219/0.00190835281012210275/1.0261e+015\ /1/-122/0 params=0/0 float=y maxiter=5400 inside=0 logmap=-1196 periodicity=6 colors=0007057057057057057167167167277177177167267\ 25725725725725725735735745735745745755755855855865\ 865965975965965A76A87B98DA9EBAFBCGCEHDFIEGJFHKFILG\ JMIKNKLPMMQPORSQSVSTXUW_WYaY_c_ae`dfafgbhfcjiemkgo\ miqoksqnvsqxutzwwzzzzwwyttwqqvonumksjhrgeqeboc_naX\ l_UkYRjXOhVLgUJfSHdRIcPIaOI`MI_KJaOJcOJfMJiJIkFHmF\ GoKFpKEsPDvPCyPBtPAoO9eR8eQ7eP6WN5WM4WE3WE2HF1HE1H\ D2HC3HB4HA5H96H76H67H68H69H7AH7AH7BH6CH6DH5EH5EH5E\ G5FG4FF4FF4FE4FE9FBB99D4AC4BC4CC4DD4DD4EE4FE4GF4GE\ 4HE4IE4JF4JF4KF4LF4MG4MG4OH6QI8RIATJBUJDWKFYKGZLI`\ LKaMLcNNeNPfORhOSiPUkPWmQXnQZpR`qRanWYl_VidSghPjYv\ gYmdYeaYX_gPZgOYgOXgOWgOVgOUgOTgOStORtOQtOPtOPtOKt\ `GtmCtyFtzHtzJtzMtzOtzQtzTtzVtzXtz_tzatzctzftzhtzj\ tzmtzotzqtzttzvtzxtzztzwtvttsqtontlkthhteetabtZctY\ ctXdtWdtVetUetTftSftRgtQgtPhtOhtNitMitLjtKjtJjtJht\ Uftdeto5tb5t`5tY5tW6tU6tS } END PARAMETER FILE=========================================

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FOTD 02-04-14 (Terraces Without End [A-7,M-6])
by Jim Muth 04 Apr '14

04 Apr '14

FOTD -- April 02, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 0.19 negative parts of Z^3 are combined with 0.9 negative parts of Z^2 before C is added on each iteration. This parent appears as a Mandelbrot set with extra features along the positive and negative X-axis. Today's scene lies on the southern shore line of one of the extra features just east of East Valley. The name "Terraces Without End" refers to the terraced effect created by the 'tdis' outside option. The artistic worth of a 7 might be a little inflated, since we have been here often in the past. The math rating of a 6 seems about right. Even though the math trick is old stuff, it still strikes me as interesting. The calculation time of 3-1/4 minutes borders on slowness. I guess that most fractals seem slow to some degree. But the web sites can bypass any trace of slowness. So be one of the big-time thinkers! Avoid the calculation wait by viewing 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> With a high temperature of 64F 18C and partly cloudy skies, today was the most spring-like of the year so far. The fractal cats enjoyed the sun while it was shining and asked for food when the clouds moved in. The humans conquered another computer internet glitch in the morning and then had an acceptable day. The next FOTD will be posted in a reasonable time. Until whenever, take care, and the only progressive goal more hopeless than achieving a classless society is slowing climate change (aka global warming) by passing legislation. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TerracesWithoutEnd { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.2757513525080695/-0.0266313354418917\ /1.25e+012/1/-97.5/0 params=-0.9/2/-0.19/3/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000zOIzNHzNHzLGzKGzJFzHFzGEzFEzDDzCDzBCz9Cz\ 8Bz7Bz5Az4Az39z29z8BzECzKDzQFzWGzaHzgJzmKzsLzyMzwO\ zuQzsSzrTzmPzhMzcIzZFzVCzXFzYIz_Kz`NzbPzcSzeUzfXzh\ Zziazjczidzhfzggzfiz71zA5zD8zFBzIFzKIzNLzPOzSSzVVz\ XYz_azadzdgz`TzaVzbXzbZzc`zdbzddzefzfhzIQzNUzRXUV`\ QZcMbgtTXoVZkX`gYac_cZ`dVbfRcgNeii4Ee9JbENZJRWOVTT\ ZPYbMbfp_ol`nianebmbbm_clWdlTdkPekMfjiXBWaT72WAD_l\ LUjKYgK`eJdbJg_IkYInVHrTHuVKtXNsYPs_SraUrbXqdZqeap\ gdoifozinlknnnmopmqslrulpqizmflicje`haYfYVdUSbQP`M\ MZIJXEGVADT6AS27X98aF9eLAjSBoYCscCY`GCZKG`OKaROcUS\ dXWf__gbciegjhklkomnsoqwptzqwyRly1arAelIifQl_ZpUfs\ OnwIvzNsuSqpWok`lfdjaihXmfSncTo`TpYTqczrczscztcztm\ zumzvczwUzxUWyKWzKWz0Ww3Tt5Rq8PoAMlCKiFIgHFdKDaMB_\ O8XR6UU4SU2Uc7VcBWcFXmJYmNZmS_mW`m_amcbmgcckdcjeci\ fUhzUgzUfzKezJdzJczIbzHazG`zG_zFZzWUbzTdzSezRbzQ_z\ PXzOVzNSzNPzMNzLKzKHzKFzJ } 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 01-04-14 (End of the Quest [A-8,M-9.7])
by Jim Muth 01 Apr '14

01 Apr '14

FOTD -- April 01, 2014 (Rating A-8,M-9.7) Fractal visionaries and enthusiasts: The name of today's image, "End of the Quest", says it all. The scene lies deep in the center of yesterday's image, as far as it is possible to go with the Fractint program. Only heaven or someone with days of calculating time to spare can know what lies beyond this point, but from the situation at the center of today's image I suspect there is little to be found beyond this point but total aliasing and Moire patterns. I have made no attempt to determine the periodicity of the rings, though I assume it is into the hundreds. The art value of an 8 is based on the fine detail in the outer parts of the image and the smooth coloring. The math rating of a 9.7 is about as high a rating as has ever been given to the math aspect of a FOTD. The calculation time of a full hour is abysmally slow, but can be ignored by checking the web sites. Make life far easier by viewing 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> The day began sunny enough, but clouds moved in during the morning and by early afternoon the sun had vanished. The temperature of 57F 14C was mild enough, but the lack of sun spoiled the mildness. The fractal cats spent the day waiting for the sun, only to find disappointment. The fractal humans solved a minor computer glitch and then had an uneventful day. The next FOTD will arrive in full color in 24 hours, more or less. Until then, take care, and technophiles tell us that technological progress and the internet might turn humanity into a single planet-wide conscious organism. If this happens, then I assume those in control of the internet would be seen as gods. I sure hope none of these techno-gods ever turn as goofy as the so-called real God in the sky sometimes seems to be. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= End_of_the_Quest { ; time=1:00:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.1350317604152949/+0.6498818631848319\ /1.13619e+013/1/2.5/0 params=0/0/0/0/0.2/0/1e-045/0 float=y maxiter=32000 inside=0 logmap=4880 periodicity=0 mathtolerance=0.05/1 colors=000fkYfkbgjghilihqihvednb`f_Y_XUSURLRNDPG5O\ K6OO7NS8NW9M_AMcBLgCLkDKoELsGKsFJsFIsEIsEHsDGsDFsC\ FsCEsCDsBCsBCsABsAAs99s95w29s9DoFHlMLhSPdZYupTadLI\ QOJTQKVTLXVMZYNa_OcbOedPggQjiRllSnnTppTrmWnjYjh`fe\ bbbeZ`gWYiSVlOTnKQqGNsCLu9Mp8Ml8Mg8Mc8NZ7NV7NQ7NM7\ OH6OD6O86O46S6DW7JZ8Qb9WfAaiBhmCnpDt`VqLkoYZkiNgxA\ fuBcsBapB_nBYkBWiCTfCRdCPaCN`CM_CLYDNWEPVFRTGTRHVQ\ IXOJZMK`LLbJMdHNfGOhEPjCQlASpBQmBPkBOiCNgCLeCKcDJ`\ DIZDGXEFVEETEDRECPDEUCFYBGbBHfAIj9Jo8Ks8LwCNuFOtJQ\ rMRqQTpTUnXWm_XkcZjf_ijagmbfofipceqabr__sYXtWTuUQv\ SNwQKwOHvLLuIOtFStCVs9Yr6aq3dq0gm2hj4if5jc7k_8lXAl\ TBmQDnMEoJGpGEuGHpGKlGNhGQdGS`GVXGYSG`OGbKGeGGhCGk\ bGm4VtiYqs`npckmeijhfgkcdn`apZZsWWvTTxRQuQTsQVqPYo\ P_mObjOdhNgfRigSlgYYqYao_PvaGr_DnUBjO8fI6bC4dE7eOA\ gHDhNGjZJkTMDcLDdMDfODgQDiSckmccmmcmmcmmcrmcvznzzo\ zzpzzqzzrzzrzzzzzzzzzzzzz } 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 31-03-14 (HyperMandel Amok [A-8,M-9])
by Jim Muth 31 Mar '14

31 Mar '14

FOTD -- March 31, 2014 (Rating A-8,M-9) Fractal visionaries and enthusiasts: Today's image shows the HyperMandelbrot set run amok. The scene lies deep in the main bay of a minibrot located in a period-60 radical on the northern edge of the west branch of the valley leading to the large period-3 bud on the northern side of the main bay of the Mandelbrot set. The name "HyperMandel Amok" expresses the growing nonsense in the entire current 'hyper' theme. As is usually the case with these hyper-features inside Mandelbrot buds and minibrots, the periodicity of the scene makes no sense at all. But then what is the need of sense when the image is so striking that the art rates an 8 and the math rates a 9. In fact, I was thinking of rating the math at an apocalyptic 10, but eased the rating down a bit to leave room for possible improvement without going to an artificial rating of 11. The most annoying aspect of the image is its abysmally slow calculation time of 20 minutes, which can be bypassed by checking the finished image posted to the FOTD web sites. So save that time by visiting 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> Brilliant sun and a temperature of 59F 15C made today seem like the proper introduction to spring. The fractal cats enjoyed the sun to the fullest, while the fractal humans enjoyed it also. The next FOTD will be posted before too long. Until whenever, take care, and if a certain man has seven daughters and every daughter has one brother, how many children does the man have? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= HyperMandel_Amok { ; time=0:20:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.1350317604152989/+0.6498818631848114\ /6.93148e+010/1/2.5/0 params=0/0/0/0/0.2/0/1e-045/0 float=y maxiter=9000 inside=0 logmap=1992 periodicity=0 mathtolerance=0.05/1 colors=000SfYSg_RhaQicQjePkgOliOmkNnmMooHtsKqrMoqO\ lpQjoThnVemXcmZ`laZkcXjeUigShhOiiQhjShkUhlWhaj0gcN\ lYheUi_QjUMkOIlKAoIElHHiGLfFOcES`DVYCZV3fQ7cSBaTF_\ UJYVNVXRTYVRZZP_bN`fKbjIcnGdrEeuCfbPiK`l1lo5il8fjB\ chE`fHYcKVaNS_C_pQPYZ88aBCcEFeGIgJLjMPlOSnRVpUYsWa\ uZdwagxikyfjycjy`jyYjyVjySjyPjyNjqSkjWkb`kWdlOilHm\ lKkmNinQgnTeoWdpZbpa`qdZrgYre_oc`mbak`bi_cgYdeWecV\ faTg_TqXSlYShYSdYS_ZSWZSSZOPeSOZVOTZNNaMHeLBgK0iI5\ kGAmEBnCFoADp9GpAJpBMpBPpCSpDVpEYpE`pFcpGfpGiqMerR\ asYZtcVujRzrOiaGUS0ZT9cTIgTQlTZpTfuToyTwsKzmCzg4sd\ 7laAfZD_WGUTUOQjHNrBLz1KU5KU8KVBJXEJZHL_UPacUcmZdw\ cfzclzIi_Ig_Ie_Ic_Ia_I__IYzIW_LUaOSbRQcUOdXMeUKzbI\ gdGhgEijCjmAkp8ls6mv4nx3opAfhGY`MPOTERSFTSGWSGYRH`\ RHbRIdQJgQJiQKlPKnPLuVHrSJpPLO2`8uonNNIsSBbh5Ny8Kt\ AIoCGj8AbBCdEEeHFfKHgNIhQKiRKlTLjULhVLfWLdYMbZM`_M\ Z`MXbNVcNTdNRhLReNPcON`QL } 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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AOTD 3/30/2014
by JackOfTradeZ＠comcast.net 30 Mar '14

30 Mar '14

. Animation of the "Ides of March" FOTD is posted: http://www.fractal-animation.net/vid/fallen.zip It is 28 MEG, 1 min 40 sec. Starts out real pretty then corruption sets in ...... I took the liberty of altering the color map. Enjoy! Comments welcome (especially nice ones) .

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FOTD 30-03-14 (Patterns in Nothing [A-8,M-9])
by Jim Muth 30 Mar '14

30 Mar '14

FOTD -- March 30, 2014 (Rating A-8,M-9) Fractal visionaries and enthusiasts: Today's image is the last in the series of hyperminibrot images. It takes us as far as we can go into the HyperMandelbrot set with the DOS Fractint program, which after 20 years or so of supreme service is now far from state of the art. A minibrot was once at this spot, but now it's gone. It leaves only its memory to carry on. (To see the minibrot, change the real(p3) parameter to zero, raise the maxiter to 8000, shut off the logmap, shrink the view-window, and wait a few minutes.) The name "Patterns in Nothing" indicates that a good part of the image lies inside an originally empty area of the now-vanished minibrot. The outer edge of the fractal ring retains the eight elements of the original minibrot, but the next ring inward has 30 elements, which is followed by a ring of 14 elements and then at the very center, a near-invisible ring of 6 elements. The series seems to cut each level in half and subtract the number one as it progresses inward. If this series continues, it would lead to a ring of only 2 elements at the next inward level, and zero elements at the level beyond that. Unfortunately the next level inward beyond the 6 is beyond resolution. One of these days, some fractal math expert, which I am not, might determine exactly what such an unlikely series means. As I see it, all the stuff in today's image might be nothing more than artifacts of math imprecision. If so, it still makes no difference, since what we have on the screen is still a fractal. The worth of the art aspect, at least in my opinion, is a very high 8. The math aspect rates an even higher 9. The calculation time of 6-3/4 minutes is slow indeed, but relief is available on the FOTD web sites. Running the included parameter file is more fun; viewing the finished image on the FOTD web sites listed below is more efficient. <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 clouds and occasional sprinkles of rain here at Fractal Central. This situation continued through the morning. The rain grew heavier and steadier by noon, and continued through much of the afternoon, with snowflakes mixing in as the day progressed, while the temperature hung around 37F +3C. The fractal cats busied themselves watching the world go by and complaining about the lack of sun. We humans, also of a fractal nature, had no need to take extraordinary steps to keep ourselves busy. The next FOTD will be posted when it is. For a more specific schedule, check back here often. Until next time, take care, and keeping busy is an integral part of the hectic modern day lifestyle, which is based on the scientific assumption that we exist on earth only one brief moment, and therefore must grab all the action we can before we go 'poof' like a wandering soap bubble drifting in the night. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= PatternsInNothing { ; time=0:06:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-1.250229217708186/+0.01137634927674942\ /1.4e+011/1/-142.5/0 params=0/0/0/0/0.23/0/1e-100/0 maxiter=2100 inside=0 logmap=-1762 periodicity=0 colors=000DUcDUcDUcDUcDUcDUcDUcDUcDUaDU`DUZDUYDUWD\ UVDUWDUXCUYBUZAU_9U`8Ua6Ub5Uc4Ud3Ue2Uf1Ug0Ug2Th4Si\ 6Rj8Qj9NkBLlDJlFHmFFnFDnECmCAl98k66i44f67b7A_8DX9G\ VAISCKUDMUEOU7QU7SU9UUAUUBUUCUUDUUEUSFTQGROHNMIJKN\ HARFAUDAUBAU9CU8EUA7UC0UE4UG7UIBUKEUMFUPFUUFVZFWaF\ X_FYXF_UG`SGaPGbMGcKGdHGeFGdGEcHDcHCbIBFVLGYJI`HJc\ FKfDLiBMl9JgCHbFFZIDULBQOILLPGJVBGa6Eg2Ch3Dh3Ei4Ei\ 4Fi5Fj5Gj5Gj6Hk6Ik7Ik7Jl8Jl8Kl8KhCMdGOaKQwUswXrwVq\ wUpwUowUnwUmwUkwUiwUgwUewUcwUawU_wUYwUWwKUwIUwQUwP\ UwOUwNSwMQwLOvKMuJLtIKsHIrGGqFEpECoDAnC6mB5lA5i94f\ 94c83_83X72T72Q61M61I50D50950_GJaRMgYRkaKjcIifGhiF\ glDdoBfrAjt8nv6rx5vz3zz1zz0zz6zzCJjIHlOFmUDn_Bpe9q\ k7rq5sv8prAnoCllFjhHheJfbLdZObWQ`TSZPUXMXVJZTF`RCb\ P9gTPkXdo_sr`jt`bqZ_oXYmVWkTUiRSgQQdOObMM`KKZIIXGG\ VFEUJCTMBSPASS9RVAQYKP`UPccUemZgvcizqkzwmzwozwqzws\ zzuzzwzzxzzyzzzzzzzzzzzzz } 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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Re: [Fractint] Another animated .GIF -- increasing Maxiter values of the same scene.
by Hal Lane 30 Mar '14

30 Mar '14

On 03/29/2014 02:16 PM, David wrote: > That's pretty cool. Fascinating to watch the > intricate details fill themselves in. Glad you enjoyed it! > It's almost like the boundary of the minibrot is > condensing from a surrounding fractal fluid. That's a creative way of looking at it... - Hal Lane ######################## # hallane(a)earthlink.net ######################## ==================================================== Author: david Date: 2014-03-29 21:56 -400 To: Fractint and General Fractals Discussion Subject: Re: [Fractint] Another animated .GIF -- increasing Maxiter values of the same scene. On 03/29/2014 02:16 PM, Hal Lane wrote: > Animated .GIF of increasing values of Maxiter in > a zoom into the parent of Jim Muth's FOTD for > March 26th, 2014. > > Maxiter= 1k, 2k, 4k, 8k, 12k - (FOTD value) > (640 x 480 pixels) > > If you'd be kind enough to navigate to March 26th, 2014 > through my home page, I'd be much obliged for your help > in keeping my page counters correctly updated: > http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html > > Thanks, > > - Hal Lane That's pretty cool. Fascinating to watch the intricate details fill themselves in. It's almost like the boundary of the minibrot is condensing from a surrounding fractal fluid. -- David W. Jones gnome@??? authenticity, honesty, community http://dancingtreefrog.com ================================================= --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Another animated .GIF -- increasing Maxiter values of the same scene.
by Hal Lane 30 Mar '14

30 Mar '14

Animated .GIF of increasing values of Maxiter in a zoom into the parent of Jim Muth's FOTD for March 26th, 2014. Maxiter= 1k, 2k, 4k, 8k, 12k - (FOTD value) (640 x 480 pixels) If you'd be kind enough to navigate to March 26th, 2014 through my home page, I'd be much obliged for your help in keeping my page counters correctly updated: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html Thanks, - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 28-03-14 (Super Hyper Ultra [A-7,M-8])
by Jim Muth 29 Mar '14

29 Mar '14

FOTD -- March 28, 2014 (Rating A-7,M-8) Fractal visionaries and enthusiasts: To create today's image I took yesterday's image, increased the infinitesimal value of the real(p4) parameter by a factor of 100,000, and zoomed into what is left of the minibrot at the center. As today's image shows, very little is left of the minibrot. The Mandelbrot shape is still vaguely discernible around the edges of the converging arms, but the rest of the details have degenerated into hyper-chaos. The image is offset in either the real(j), imag(j), real(k) or imag(k) direction. I have no idea of which, though I know it is not offset in either the real(i) or imag(i) directions, since when this is done, the normal perturbed distortion results. The name "Super Hyper Ultra" is hyperbole. No image could possibly be so outstanding. The art rating of a 7 seems about right. The math rating of an 8 is based on the totally non-intuitive nature of the scene. The calculation time of 6-1/3 minutes will pass fast enough. This time may be cut at least in half however by visiting the web sites. The finished image is available 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> Rain fell during the morning today here at Fractal Central, but the sun appeared in the afternoon, leading to a rather pleasant day with a temperature of 59F 15C. The fractal cats approved heartily of the sun and took turns basking on the window shelf, while the humans made it successfully through another day. The next FOTD will be posted either tomorrow or the day after. To be sure, check back here on both days. Until whenever, take care, and could anyone possibly imagine that higher technology could solve all the problems currently facing humanity? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Super_Hyper_Ultra { ; time=0:06:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-1.2502292177082/+0.01137634927677626/\ 1.034e+012/1/-155/0 params=0/0/0/0/0.248/0/1e-095/0 float=y maxiter=2042 inside=0 logmap=1786 periodicity=0 mathtolerance=0.05/1 colors=000l6`l7_n8Wn9ToBPoCMoBJpAGl8Cf54`2DV2BM08H\ 27D37645130000s_8o`NndeoevjaogZldWgaUbYQZWOWUKSRIO\ PFMMDIKAEH9CF6BE4AC3CB2EA0G80I80K70M60O40Q62S84UA6\ WC8YEA_ECaFC`GC`HC_IC_HDYGDWFDVEDTDDSCDQBDPADN9DL8\ DK7DI6DH5DF4DE3DC2DB7HFCLJHPNMTRRXVV_Z_cbdgfikjnon\ ssrwvvutwsswqrwoqwmpxkoximxglxekxcjyaiy_hyYfyWezUd\ zSczQbzOazLbsIclGdeDeZBfT8gM6hF3i81j23i35i37i39i3B\ i3Di4Fi4Hi4Ji4Li4Jj6Ij8HjAFjCEjEDkGCkIAkK9kM8kO7lQ\ 5lS4lU3lW2lX6mV9nUCnSFoRJoQMpOPqNSqMVrKZrJasHdsGgt\ FjuDnuCqvBtv9ww8zw7yvCyuGytKytOysSyrWyq_yqcnpYcoSU\ oMJnG9nACkEFhIHeMKcQM`TPYXRW`UTdXQhZNkaLocIsfFwhDz\ eHwbLt_PqXTnUXkS`hPdeMhbJl_GpXEtUGsVHsVIsVJsVKsVLs\ VMsVNsVOsVPsVQsVRsVSsVTsVUsVVsVWsVXsVYsVZsVVmSShQU\ gPWgPYgP_gOagOcgOefNgfNifNkfMmfMofMqeLseLueLweKyeK\ zeKzhNzkQzmTzpWzrZxqXvqWtqUrpTppRnpQlpPjoNhoMfoKeo\ JcnIanG_nFYmDWmCUmBSm9Ql8 } 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 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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Animated GIF
by JackOfTradeZ＠comcast.net 20 Mar '14

20 Mar '14

. ""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> .

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FOTD 19-03-14 (The Shy One [A-7,M-7])
by Jim Muth 19 Mar '14

19 Mar '14

FOTD -- March 19, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: After seventeen years, not the sixteen years that I said a couple days ago, the FOTD continues unabated, with no sign of a slowdown in sight. In fact, now that the graphic design activity is intentionally easing off, I find myself with even more time to work on the art aspect of the images. Today's image lies in a parent Mandelbrot set that is corrupted even on its surface by Z^(-0.5) energies. The main sign of the corruption is the fractally divided negative stem, where I found today's curious scene lying just east of the partially split main minibrot. The name "The Shy One" points out how the outstanding bluish feature is partially hidden behind the intruding dull red foreground features, almost as though it were too shy to come out into the open. As I see it, both the art and math aspects of today's image rate a 7. The calculation time of just over one minute will pass in a surprising semi-flash. Fractalists who do not enjoy semi- flashes may find flash freedom on the FOTD web sites. For total flash freedom, the finished image is posted 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> Heavy clouds and occasional light rain today here at Fractal Central made the conditions totally unfit for outside activity. The chilly temperature of 41F +5C made things only worse. The fractal cats realized early that there would be no sun, and spent the day chasing each other up and down the hallway or keeping warm near the living room radiator. The humans spent the day the same as they do every other day. The next FOTD will be posted in the appropriate time. Until whenever that might be, take care, and the more gadgets we become convinced we need to survive, the more frantic we are becoming. When I was young, we never got the nervous jitters when we lost track of what our friends and relatives were doing for an hour or two. I guess it's the accepted modern life style, but with all the new gadgets they keep telling us we need, where will it lead? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Shy_One { ; time=0:01:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.747309015869279/+0.00000581608607598\ /1.142149e+007/1/-30/0 params=-0.5/-700/0/0 float=y maxiter=900 inside=0 logmap=109 periodicity=6 colors=000D15E26F37G49I5BK6DM8FOAHPCJQELQGNSIPVKRX\ MT_NVaNYdOafPeiQikRlnSppTssUvuUxsVvrWuqWspXroXqnYo\ mYnlZmj_ki_jh`hg`gfafeYddUccPb`SUOKKFFKAAKA8KA5KCA\ KKKKVVV```eeeSVgEDdCGgAJj8Nm7Rp5Us3Yu1`w0dx4gy7jzA\ mzDpzGrzJtzMpzPjzSezVczYcz`czSRYJERPDWUC`ZBddAii9m\ n8rp8vrCpsGoqJooPkkUgfZcbc_ZhX_dU_aRZYOYVLXSIKOFKL\ CKI9FE6FB3F81F93F95F97F99KAUFBUFCcFDcFFmFGmVLzWLzW\ MzVMzVHzVHzUIzTIzSEzSEzREzQFzQFvPFrOGmNGhNGhMHiLHj\ LHkMLkMPkMTkMWkM_kNckNgkNjkNnkNrkNukOegOQdOAaNB`NB\ `MB`MB`LB`LB`LB`KB_KB_JB_JB_IB_IB_IB_EL_BV_8c__YPc\ TFcRGcPGcNHcLHcKHcIIcGIcEJcCJcBJcDMoFOnGRlITjKViLY\ gN_ePbdQdbSf`Ui_VkYXnWZpV_rUanUckTdhTfeShbSi_RkXRm\ UQnRQpOPrLPsIUlFZfCc`AhV7mP4rJ2qM4qP5qR6qU8qX9pZAp\ aCpdDpfEpiGolHonIoqKotLovMjpLezL`zKWzKSzKNzJIzJDzI\ 8zI4zIlzLlzMlzNgzObzOYzOTzPPzPKzPFzQAzQ5zQ1zQ6zTBz\ VFzXKz_SzFSzERzDRzBRzAQz9 } 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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Here's something a bit different - an animated GIF of a FOTD...
by Hal Lane 19 Mar '14

19 Mar '14

I did a moderate zoom into the left end of the parent of Jim's FOTD for March 18, 2014: http://www.emarketingiseasy.com/TESTS/FOTD/2014/F140318X.jpg and noticed the two interlaced "sub-fractals." This gave me the idea of possibly being able to separate the two into separate images using the color map editor. 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": http://www.emarketingiseasy.com/TESTS/FOTD/2014/F140318a.gif ...hope you like it... Its parent fractal and other images are at the March 2014 link listed here: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 18-03-14 (A Bad Case of Zits [A-7,M-7])
by Jim Muth 19 Mar '14

19 Mar '14

FOTD -- March 18, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is a scene in the East Valley of a skeletized Mandeloid in the parent fractal that results when a Mandelbrot set is corrupted by (1/Z) energies. This parent has other Mandeloids strung along its X-axis, some of which could be quite interesting. The art and math aspects both rate a 7. I think the image is at least a little above average, even though the name "A Bad Case of Zits" is not likely to enhance the artistic impression. But don't blame me for the name. I'm only reporting what I saw in the image. The zits can be made larger or smaller by changing the real(p2) parameter. Increasing its value makes the zits smaller; decreasing the value makes them larger. But don't go too far in either direction. Things could get totally out of control. The calculation time of just over 2 minutes is fair enough. It's too bad that real life zits can't be banished this quickly. The finished image is posted online 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 cloudy and dreary here at Fractal Central, but the clouds cleared away shortly after midday, leading to a very pleasant afternoon with a temperature of 45F +7C. The fractal cats took turns enjoying the sun on the shelf, both wishing the other would choose another non-activity, while the humans, no longer sure whether they are liberal or conservative, or whether there is any difference, pondered the world situation. The next FOTD will be posted in the proper time, which most often means the next day. Until whenever, take care, and I just watched the second in the TV series of 'Cosmos' remakes. The message I got from the program is that, in the dispute over the thoreies of intelligent design versus random natural selection, the natural selection theory is the winner, at least in the rationalist camp. My advice to the series producers is to make their agenda a little less obvious and find some background music that could put a little more spirit into their series. Of course, I'm not sure that rational skeptics want anything to do with spirits. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Bad_Case_of_Zits { ; time=0:02:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.2634748827406843/-0.0025621653726951\ /1.61e+007/1/42.5/0 params=-1/-100/400/0 float=y maxiter=2000 inside=0 logmap=-200 periodicity=6 colors=000mmmzzzzzzzmzmmzmmmmmm_kq00U00c00000000U0\ 0055PAQqCkzCzzCzzCzzCzzCzzCzzCzzCzzCzzCzzCzzCzzCzz\ Czzhzwgztfzqrzzmzjmzg`zgCzcCzcAlX7ZV6IU67U66U55P55\ P55P55P55P33GzCLsCHmEEzVBzXCzXC22B0000000000007Z7C\ zLCzcCzzOzzwtzzXz1612B23G34K4161000000000000000000\ 000000000000611U66qAAzHCzPCzXCz_CzcCzhCzkCznCvrBdv\ NRv`FhF7U64K4161000000zzCzzCzzCzzCzzCzzCzzCszCczCP\ zCEzCPzC`zJjz`qqqzkzz`zukzkmzLllAqbCzTCzHCzCCzC5P5\ zCPzCCvBBlAAcD8UF6h99qAAzCCzCCzCLzC_zCnzCszCvzCzzC\ zzCzzCsz`jzt`zzOzzCkzC_zCXzCXzCTzCTzCTzCEz_CEzCCzC\ CzCCzCJlIZZWvWXzJzcCezzSzzErzChzCXzChzSpzkzzzzzzzz\ zzzzzzzzzzkezTCzEEzCTzChzCvlAlcccXzbJzXOzlOzvOszOe\ zROzPCzPCzPCzhCzvCzzOzzezzyzzztzzezztzyzzezzOzzCzz\ CzzCzzCzzCzC_zzCzzzzzzzzzzzzyzzSzzCzzCzzCzzCzzCzzC\ zzCzzCszCkzC_zCTzCHqO8VcCEzCCzCCz9BBkzCzsCzkCzcCzX\ CzPCzXCzheztzzzzzzezzCzzC } 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 17-03-14 (Random Arabesque [A-8,M-7])
by Jim Muth 18 Mar '14

18 Mar '14

FOTD -- March 17, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: If my records are correct, (which is not at all certain), today is the 16th anniversary of the day I introduced myself and posted the first fractal to the Fractal Art list. To celebrate the momentous occasion, I have reposted my original introduction to the Fractal Art list. START OLD STUFF-------------------------------------------------- Hi everyone: I'm Jim Muth. I'll introduce myself by telling a bit of my background. I am a short-story writer, graphic designer and armchair philosopher, living in a large East Coast city (Baltimore, MD) in the U.S.A. I became interested in fractals back in the 1980's, when the first article about the Mandelbrot set appeared in the Scientific American Magazine. I have always had a desire to explore unknown regions, but found myself frustrated because the unknown parts of this world have already been almost totally explored and the vast unknown places of other worlds are yet to be reached. The world of fractals in a strange way fulfills that desire. To me, fractals are mystical things, objects of a world neither real nor unreal. I am fascinated by them, by the tremendous enigma of their existence, by the way they go on and on forever -- infinity reduced to the size of a computer screen. I am fascinated by the simplicity of the mathematics behind them, as well as by the incredible pictures they make. But I am fascinated most of all by their philosophical aspect. As I work with them, I constantly wonder what they are, and what do their beautiful patterns mean. What is a fractal? The answer is simple -- the mapping of a recursive function to the screen". But stop a moment to consider the Mandelbrot set, one of the simplest fractals. How many Mandelbrot sets exist, one or many? If the Mandelbrot set is merely the image that appears on a computer screen when the formula Z^2+C is reiterated, then thousands of identical Mandelbrot sets are constantly coming into existence and vanishing as thousands of computers are switched on and off worldwide. If these images are separate entities, then why are they identical? Apparently, a unity lies behind the separate images. But if the Mandelbrot set is a single object that has an existence beyond the ephemeral images that flicker on the world's computer screens, then the question arises, "what type of existence does this archetypal Mandelbrot set possess?" Is it real, imaginary or virtual? The question sounds almost comical until one thinks about it. One might also ask, "did the Mandelbrot set exist before computers were invented?" Questions such as these are not so easily answered. In some ways the Mandelbrot set is no more than an idea, a potentiality like sub-atomic particles, which according to certain interpretations of quantum theory, do not come into existence until they are actually observed. Are fractals good art? This is a question with as many answers as there are people who answer it, for good art exists in the mind of the beholder. If a person glances at a fractal image and passes on without second thought, then to that person fractals are not art. But if a person sees a degree of beauty in a fractal image, if that image fills the person with a sense of awe and wonder, then fractals are indeed art. To me, fractals are art of the highest order. I have created many thousands of them over the past ten years, most of which have long since been discarded. But those discarded images still exist somewhere out there, like ghosts lost in the ether, waiting for the time when some unknown enthusiast enters the same magic formula into a computer, and once again brings them to life. In future postings I'll have much more to say, some things not quite so philosophical, others far more so. END OLD STUFF---------------------------------------------------- When I wrote this I had no idea of the number fractals I would post to various lists in the future. As for today's image, it is a scene on the negative X-axis of a Mandelbrot set corrupted by Z^(10.9) energies. The scene is located at a point where the main spike has divided into two main branches, with today's image lying between the branches. I have adjusted the escape radius (the real(p2) parameter) to place the scene at the edge of annihilation, where the swiss cheese effect is at a minimum. The name "Random Arabesque" is the first phrase that came to mind as I studied the image in search of a name. In my opinion, which is what counts, the art is worth an 8 and the math worth a 7. The calculation time of just over 2 minutes will pass quiclky enough, though the web sites can cut the wait still further. The calculation may be eliminated by checking 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> Today began with clouds threatening snow, but the snow remained well to the south and the clouds broke in the afternoon, leading to a pleasant but chilly day with a temperature of 36F +2C. Fractal cat No.2 went to the vet's office this morning, where the doctor told her that she had followed his instructions to the letter and could once again run free. Fractal cat No.1 greeted her with enthusiasm when she returned, but warned her to slow down when she got too frisky with him, working off some of her stored-up energy. The humans were glad that the fractal cat situation is back to normal. The next FOTD will probably be posted in 24 hours. Most FOTD's are. Until then, take care, and why is the U.S. so bothered that the Crimeans have voted to be free. I thought we're always fighting with the 'enemies of freedom' to defend the right to a free democratic vote. Jim (it's all politics) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Random_Arabesque { ; time=0:02:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.7434356542/0/446449/1/90/0 params=10.9/1000000000000.0/-12.95/0 float=y maxiter=1500 inside=0 periodicity=6 colors=000FpyE_qDKiMQ_UWRaaIbTFbKCbBAXMCRWELfGGpHC\ lK8iN4fQAiMFlJKoGPrDLkBId9FY8HOJCR69K46D3361fwgScT\ EKEzqVrjRjcNcccVRFNKBFD7763CQr6DRCScANX8Iz6EK49D2z\ zRz0Ni0ez0Z00nG0A70650320zCpr3gj3OhAKb2GN10F18704w\ p8zzzpf2pWIZZMoEHLLDEE8774iHkaEcUBWN8OF5G728z3_BNF\ 5B7_JJSFFLBBE77733cb5WV4ON3GF2871V6cQ5YM4SH3MD2H81\ B405nr`Y_OHICAqb6_Q3IDhDzbBrX9jS8bM6VG4NB3F517ivq_\ jfRZWINL9BAHClEAcB8W86O54G228`rGTgCMX9EM67B3zlmKzr\ HrkFjdCbYAVR7NK5FD276ioo_ddRVVIKK9AATnqkH2XwdOhUGU\ K8FAivhBk69e58_46U35O34I22C1160vnxmfoe_fXTYPLQGEH8\ 78WYuSTmOPfKL_GHTCCL88E447bEjXCcRAXM8QG6KB4D526ML5\ II4FF3CC2992661330SQnOMfKI_GETCBL87E437qUWiPRaLMUH\ INCDF89744zqvVRT4`h3T_2MR1EI079`5CR39I26913mLjcG`U\ CSK8IA49yJNV9BMm4Hc3DU28K14A0QUXDFGfMm`JfWG`QDVLBP\ G8IA5C526cBaZ9XU8SP6NK5JF4EA29514UOlPKeLHZHDSCAL86\ E4376uL5lI4dF3XC2O91G6083 } 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] <Jim> ...today is the 16th anniversary of...
by Hal Lane 18 Mar '14

18 Mar '14

Jim, You said: > If my records are correct, (which is not at all certain), > today is the 16th anniversary of the day I introduced > myself and posted the first fractal to the Fractal Art list. Congratulations on a great start! Now you can start posting all the rest of the fractals that exist... ;-) Thanks for all the great images -- and the cats! I've really enjoyed "looking around" inside your fractals a lot. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Re: [Fractint] MOTD 160314 Department of Mystery
by Hal Lane 17 Mar '14

17 Mar '14

Albrecht, You used that strange color map again! Nice fractal, though... - Hal Lane ######################## # hallane(a)earthlink.net ######################## =================================================== Author: Albrechtx Date: 2014-03-16 13:17 -400 To: Fractint and General Fractals Discussion Subject: [Fractint] MOTD 160314 Department of Mystery HI, this is strange and so strange IÂ´m not so sure myself. You could even say: coming from the department of magic. So itÂ´s up to you - IÂ´m thrilled. ; https://www.dropbox.com/sh/a9amjgnqwkyqjl0/-fhuJ4ZTHe ; Cheers, Albrecht =================================================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 16-03-14 (A Negative Outlook [A-7,M-7])
by Jim Muth 16 Mar '14

16 Mar '14

FOTD -- March 16, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image lies in a parent Mandelbrot set that has been corrupted not only in its depths but also on its surface by Z^(0.99) energies. This parent is shaped like a featureless empty circle, with a little bit of Mandelbrot stuff on its western edge. A large bud that is beginning to split apart lies on this western edge, with two fractalized main spikes extending out eastward from the bud. Today's scene lies in some debris between the two spikes, just east of the two large minibrots. The name "A Negative Outlook" does not refer to an evening in a now vanished old-style photo lab, surrounded by trays of dangerous chemicals, nor does it imply a negative world view. It refers to the location of today's scene on the negative X-axis of the parent fractal. I decoded to rate both the art and math aspects of today's image at a 7. They are both at least a little above average. The calculation time of one minute is fast enough to make a trip to the web sites not absolutely necessary, but the web sites are always there to make life easier. Save a bit of time anyway by checking 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> Increasing clouds and a temperature of 34F +1C made today seem like a return to midwinter here at Fractal Central. Fractal cat Nicholas is becoming impatient for spring to arrive, while Jasmine is becoming even more impatient to get her collar off and get out of her room. She has only one more day to wait. The fractal humans made it through the day with a minimum of distractions. The next FOTD will be posted in 24 hours give or take a few. Until then, take care, and on a recent evening, while I was busy complaining about something, FL told me to stop complaining, so she could watch the squabbling on the TV romance show without being distracted by my squabbling. Women are probably a bigger mystery than the quantum measurement problem. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Negative_Outlook { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.7264538029436962/+0.004409674532122/\ 2.21e+009/1/-90/0 params=0.99/1/1000/0 float=y maxiter=1500 inside=0 logmap=96 periodicity=6 colors=0004700700410400400710807E0I41750FK13G0LJ1C\ LJLHFRERPEFUJDRH4UK9ZD7cC8fC8dRFmzzWqzHYc000N66I47\ F38B15500000000VzzQqrNjhKbhJXgIS_IOYHLaFHbGFXJEXLD\ XNDSPDSQDNUDNWDLYDQZDVaD_cDdfDiiDikDitvBCzzCqzHhzO\ gzUgz_hzbfxa`waXuaUucPscLqdGpeEpfEihFdiH`kIXmKToMQ\ pNMtOJvPEwQCySCzTCzUCzWCzXCwXCoXAfXBZXISWRPYVL`dGc\ gBdiAflAhnBjqBlsAjn9hk9fg8dd7b`7`Y6_V6YS5WP5VM5TK4\ ON5KSCHVJF_RCbZDgeDkXTWaXZdaahddkhfolirplvsoyvpzxr\ zztzzuzzuzzkzzczyWzw`zuczthzskzsozppznqzpqwopoomgk\ ggkg`igTieLheGje9jd9ld9ld9ld8jb8jb8jb8h`8h`8h`8g_8\ g_8g_7eZ7eZ7eZ7eZIhQHeRGbQG`QFYPFWOETODQPDQPDNPDMP\ DKPDJPHNLKOKPTLTYIZbGceGadEacDaaD_`B_`B_ZA_YAZW8ZV\ 8ZV7ZU7XS6XR6XQ6XQ6_WDa`MceVfjdmqmrvrqvrovqlvqjvpg\ vpfvpdvpavo_voWvoVvoUvoNxeIzXCzNCzFCzCCzCCzCIzBRzB\ bzBnzAaz9Sz7Hz5ozNozNrzNtzMwzOyzNzzMzzLzzJzzItzNfz\ RUzUPzVVzW_z_izdrzizzmzzn } 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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MOTD 160314 Department of Mystery
by Albrechtx 16 Mar '14

16 Mar '14

HI, this is strange and so strange I´m not so sure myself. You could even say: coming from the department of magic. So it´s up to you - I´m thrilled. ; https://www.dropbox.com/sh/a9amjgnqwkyqjl0/-fhuJ4ZTHe ; Cheers, Albrecht

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FOTD 15-03-14 (This is a Fractal [A-7,M-7])
by Jim Muth 16 Mar '14

16 Mar '14

FOTD -- March 15, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is a scene at the edge of the fractalized main spike of a Mandelbrot set corrupted by Z^(4.005) energies. It lies just beyond the large minibrot. The image owes its unusual effect to the 'FMOD' outside fill, which creates the striking cusps and arcs of color. The obvious discontinuities are created by the fractional exponent of Z. The name "This is a Fractal" is a bit nihilistic, saying nothing at all about the image. The art and math both rate a 7, since in my opinion they are notably above average. The calculation time of only one minute means that little time will have been wasted if the image fails to live up to the expectations I have created. As always, visiting the the web sites will eliminate the need of calculating the image. 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> Partly cloudy skies and a temperature of 52F 11C made today rather pleasant here at Fractal Central. Only a blustery wind kept the day from being ideal for the ides of March. Fractal cat Nico spent most of the time stretched out on the southwest shelf. Fractal cat Jazzy spent the day in her recovery room, very anxious to get the collar off her neck and escape from her room. Luckily, she has only two more days to go. The fractal humans had a day apart. FL spent the day visiting an old friend in Baltimore, while I stayed behind and spent the day getting caught up on various human things. The next FOTD will be posted in the very near future. Until then, take care, and where did science go wrong? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= This_is_a_Fractal { ; time=0:01:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.79060014099354800/+0.000000040381003\ 70/1.255685e+013/1/-98.75/0 params=4.005/1000000/\ 0/0 float=y maxiter=1500 inside=0 proximity=0.04 outside=fmod periodicity=6 mathtolerance=0.05/1 colors=000000000000555FFFPPPUV_QWaMWcHVeDUg8Tj4Sk0\ Rk2Qj4Qi6Qh8QgAQgCQfEQeGPeIPdKOcMObOOaPNaON`ON_NMZ\ NMYMMXMLXLLWLLVLKUKKTKJTJJSJJRIIQIIPHIOHHOGHOGHNFI\ MGHMGIOIJLHKIHMGHPEHSDHVBIY9I`7Ib6MdCPeHTfNWhS_iYb\ jbflhimmmnspoxkjsgenb`iZXeVS`QNWMJSHGNDDIDAEB8FC5F\ D4GE4GF4GG4HH4HI4HJ4IK4IL4IM4JN4JO4JP4KQ3KR3KS3LT3\ LU3LV3MW3MX3MZ3N_3N`3Na3Ob3Oc3Od3Pe3Pf2Pg2Qh2Qi2Qj\ 2Rk2Rl2Rm2Sn2So2Sp2Tq2Tr2Ts2Ut2Uv0Vu2Uu4Uu6Ut8TtAT\ tCTsESsGSsISrKRrMRrORqQQqSQqUQpWPpYPp_PoaOocOoeOng\ NniNnkNmmMmoMmqMlsLluLmzKlwLktLjqLinLhkLghLgfLfcLe\ `LdYLcVLbSLbQLaNL`KL_HLZELYBLY9L`COcEQfGShIUkLXnNZ\ qP`sRbtRduQeuQfvPhvPiwOjwOlxNmzLpxNnvPmuQlsSkrUipV\ hoXgmZfk_ejachcbgdaef`dhZbiY`kX_mWYnVXpTVrSUsRSuQR\ vPSuPTuPTuPUtPUtPVtPWsPWsPXsPXrPYrPZrPZqP_qP_qP`pP\ apPapPboPboPcoPdnPdnPenPemPfmPgmPglPhlPhlPikPjkPjk\ PkjPkjPljPmiPmiPniPnhPohP } 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 14-03-14 (Seven Butterflies [A-7,M-6])
by Jim Muth 15 Mar '14

15 Mar '14

FOTD -- March 14, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image is a dive into yesterday's image, where we find that the butterflies are not at all as elusive as they appeared 24 hours ago. In fact, it took very little time to turn up today's scene, which lies along the X-axis of yesterday's fractal and shows an order-7 minibrot surrounded by no less than seven butterflies. The name "Seven Butterflies" was obvious. The art and math ratings of 7 and 6 are little changed from yesterday, which is no big surprise. The color palette is largely picked up from yesterday's image, with only a bit of tweaking. The calculation time of a little below three minutes will pass swiftly enough, and may be eliminated entirely by checking the web sites. The finished image is posted online 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> Today began cloudy and dreary here at Fractal Central, but the clouds cleared away at lunch time, leading to a very pleasant sunny afternoon with a temperature of 50F 10C. The mature fractal cat spent the afternoon sunning himself on the window shelf, while the fractal kitten spent the day in her room, still recovering from her talk with the doctor. Thankfully, she has only three more days of confinement to get through. The fractal humans made it through the day with nothing happening that was worth mentioning, that is unless one considers paying a pile of bills worth mentioning. The next FOTD fractal will be posted in 24 hours, with a probability of 80 percent. Until then, take care, and I hear that the flood of technological gadgets is causing some big problems among younger people. I guess we need to come up with more and better gadgets to solve the problems. Jim (the codger) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Seven_Butterflies { ; time=0:02:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.747311130441509/0/7.930714e+012/1 params=7/1e+020/0/0 float=y maxiter=2400 inside=0 logmap=-450 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=000AAzAAz6Az4Az1Az0Az0Av0Ar0Am0Aj0Al0Aj08g0\ 6e04d01b00`00Z20Z50X60W90UC0SD0Q0Dz5KpGP`WWNj`Azd0\ vY8sRFpMNoGWmCdk6nh2x`DPKJ08Pc0Nc0Pc5PcDPcNPcXQCgQ\ KtQSzQ`zZltgxprz0SI0F8050000200800DF0KX0mk5zzKnP0g\ 00b00W00P20I60QA0XF0eK0nP0xU0zZ0zb00pzD9gz0Kp0Gd0D\ 0DW0FW0FW0GW0GW0HW0IW0JW0KW0LW0MW0NW0OW0PW0QW0SW0U\ U0UU0UU0UU0WU0WU0XU0XU0ZU0aS0cS0eS5hSAjSFlcKnmPpvU\ rzZuzcvzcxzczzcsz0oz0jd0de0_g2Ul5Nn8LpCIrFGvKFxNDz\ 0Id0Gf0Gf0Gf0Gf0Gf1Gh2Gh2Gh4Gh4Gh5Gj5Gj6Kj8Kj8Kj9K\ l9KqAKqCKqCKqDKsDKsFKxFKxGIxIIzIIzKIzKIzLIzNIzNIzP\ IzPIzQIzDLSFKUFKWGKXGKZIK`IKbIKdKKeTbDTaDUaDU`CV`C\ V`CW_CW_CWZCXZBXZBYYBYYBYXBZXAZXAmWAmWAmVAmVAmV9mU\ 9mU9mT9mc9mc9mcAmcBmcCmcDmcDmcEzhFzhGzhGzhHzhUzhUz\ hUzhUzmczmczmczmczmczmczmczmczmmzmmzmmzmmzmmzmmzmm\ zmmzrmzrmzrmzrmzrmzrmzrmzrmzzzzzzzzzzzzzzzzzzzzzzz\ 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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Observations on the color maps used in MOTD 140314's images.
by Hal Lane 15 Mar '14

15 Mar '14

Albrecht, You asked for my observations on the color maps used in your MOTD images for March 3, 2014. I liked the brass-like colors in your 70100-10.GIF fractal "Prayer_to_the_Moon" quite a bit. The fractal itself looks (to me) like a brass scepter with tiny, tiny precious stones -- and a few pearls -- embedded in the brass all over it. The background behind the scepter is variegated in a nice way, and seems a bit like a piece of parchment. A very nice image! Here's its color map in Raymond Filiatreault's FintMap program: http://tinyurl.com/Prayer-to-the-moon-Color-map or: http://www.emarketingiseasy.com/Albrecht/MFR12/M70100-10_Prayer-to-the-moon_ Color-map.jpg The color map for 70105-16.GIF is very strange! It has both single colors scattered around the color map -- within an large black area of color definitions -- with the other half of the map being a repeating pattern of every other color being defined as: dark gray, then light gray. Here's its odd color map screen captured from the "e" color editor: http://tinyurl.com/Newton-Secant-ManyMods-Strange or: http://www.emarketingiseasy.com/Albrecht/MFR12/M70105-16_Newton-Secant-ManyM ods_Strange_Color-map2.jpg I discovered a trick today that I hadn't realized you could do with the "e" color editor. After "r"estoring your 70100-10 image I had downloaded, I used the editor's "x" option. Previously I had used the arrow keys to look around in an image (in the "X" mode) to see where a feature's colors were located in the color map table -- and what their numerical R, G, & B values were. Today I discovered that, since I have a DOS mouse driver installed in the DOS ntvdm.exe environment, in the "X" mode I can "mouse around" both over the image *or* inside the color map table of colors, and the entire fractal will be black except for the particular color that the cursor is over in the color map table. Moving the cursor around inside the color map is very instructive, as it very clearly shows exactly what colors are where in the fractal. While in the "X" mode, all the colors in the table are all black except for the one you are hovering the cursor over, but you can get the context of where you are in the color map by hitting the "x" key to restore the map and fractal -- and then hitting it again to return to your investigations of the fractal's color's locations. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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MOTD 140314 One Center for Three
by Albrechtx 14 Mar '14

14 Mar '14

HI, ; this continues yesterday´s MOTD -"Special" due to very special mages. Today´s first one adds Manymods with an additional center. Give in-adapt-take over I called the "intelligent" behavior of that frm. This proves it again, as Newton and Secant are still there but in a new dressing. Hal, what about the color map? ; "Prayer to the Moon" is a picure to remember. ; https://www.dropbox.com/sh/u1wgczf43v1a5rv/Zueh9LxTM7 ; Cheers, Albrecht

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FOTD 13-03-14 (Elusive Butterfly [A-8,M-6])
by Jim Muth 14 Mar '14

14 Mar '14

FOTD -- March 13, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image lies on the main negative spike of its parent Mandelbrot set, which is corrupted in its depths by Z^7 energies. It is located just east of the large minibrot. I named the image "Elusive Butterfly" when it reminded me of a butterfly, a colorful insect that many years ago my grandfather called a flutterby. The image actually shows a center of anti-bifurcation, where the number of elements is cut in half as the center is approached, and instead of a bottomless minibrot, a peak lies at the center. Thanks to the brilliant coloring, the art aspect of the image rates an 8. The math aspect still has enough originality to be worth a rating of a 7. The calculation time of 2-2/3 minutes borders on slowness, but luckily the official FOTD web site is again up and running along with the other FOTD sites. The finished image is posted 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> We had lots of sun here at Fractal Central today, but when the day dawned with a temperature of 12F -11C and high winds, it hardly felt like a spring morning. The afternoon high of 27F -3C brought but a little improvement. Fractal cat Nicholas took advantage of the brilliant sun on the southwest shelf, while Jasmine continued her recovery in her private room. The fractal humans had another near-average day. The next FOTD will probably be posted in 24 hours, as most FOTD's are. Until the next time, take care, and until man uncovers and accepts the mysteries of the universe, he will never solve his most stubborn problems. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Elusive_Butterfly { ; time=0:02:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.747311130379525/0/3.253021e+009/1/\ -90/0 params=7/1e+020/0/0 float=y maxiter=2400 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000DUzAUz6Uz4Uz1Qz0Oz0Mv0Kr0Im0Gj0Dl0Aj08g0\ 6e04d01b00`00Z20Z50X60W90UC0SD0Q0Dz5KpGP`WWNj`Azd0\ vY8sRFpMNoGWmCdk6nh2x`DPKJ08P00N00P05P0DP0NP5XQCgQ\ KtQSzQ`zZltgxprz0SI0F8050000200800DF0KX0mk5zzKnP0g\ 00b00W00P20I60QA0XF0eK0nP0xU0zZ0zb00pzD9gz0Kp0Gd0D\ 0DW0DW0DW0FW0GW0IW0KW0KW0LW0LW0NW0NW0PW0PW0QW0QW0S\ U0SU0UU0UU0WU0WU0XU0XU0ZU0ZS0`S0`S0bS0bS0dS0dS0eS0\ eS0eS0dW0bX0`Z0Z`0Zb0Xd0We0Ug2Sl5Qn8PpCNrFLvKKxNIz\ 0Nn0Lp0Lp0Lz0Lp0Lp1Lr2Lr2Lr4Lr4Lr5Lt5Lt6Kt8Kt8Kt9K\ v9KvAKvCKvCKvDKxDKxFKxFKxGIxIIzIIzKIzKIzLIzNIzNIzP\ IzPIzQIzDLSFKUFKWGKXGKZIK`IKbIKdKKeKKgLIjLIlNInNIp\ NIrPItPIvQIxQIz`8vZ9xZ9xZ9xZ9xD0US0FQ0IP0LP0PN0SL0\ WL0ZK2`K5dI9gGDlGGpFLtFPvNGeU9S`4Gj05rA0zK0zU0xK0p\ A6e2NZ9eSGzZ2CQA8GI59S11b00l00x00z00n00W04F0A24G1A\ N1GU1N`1Ue0bn0jv0rz0zz0zz1zz2zz2vv4rr5pp5ll6gg8de8\ `b9ZZAWXASUCPQDLPDKKDNGDP } 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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I like the lacy gold structure of your 85006-18.GIF
by Hal Lane 13 Mar '14

13 Mar '14

Albrecht, I like the lacy gold structure of your 85006-18.GIF quite a bit. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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