May 2007 - Fractint - mailman.xmission.com

FOTD 15-05-07 (The Lost Minibrot [5])
by Jim Muth 15 May '07

15 May '07

FOTD -- May 15, 2007 (Rating 5) Fractal visionaries and enthusiasts: For today's image I resurrected the original Mandelbrot branch cut formula, MandelbrotBC1. This version actually is more versatile than the MandelbrotBC2 formula that I use quite often. Instead of having the 'floor' function hard coded, like the second version of the formula, BC1 lets the user choose any function. This ability can be quite useful, since most of the available functions make unique and quite interesting fractals. In today's image we examine the Z^(1.09)+C Mandeloid as it appears 10.6 levels up the log ladder when the 'sin' function is applied and the escape radius is raised to 1600. At this level the parent fractal resembles a distorted Mandelbrot set rotated 180 degrees. Except for the large period-2 bud, this set is without buds, but the shoreline of the main bay is edged with interesting chaos. Today's image lies in the East Valley area of its parent, which is actually on the west side of the main bay. Believe it or not, there actually is a midget far down at the center of the image. But waste no effort trying to reach it. The midget lies far beyond the breakdown point. Because the midget will never be seen, I named the image "The Lost Minibrot". Then I rated it at a 5. Some interesting debris is floating through the image, and some curious debris patterns are starting to emerge, but there is too much chaos and too little order for a higher rating. The calculation time of over 17 minutes on the P4-2000 would be over an hour on the old P200 unit. To save time, I have sent the finished image on ahead to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for quick enjoyment. Monday began clear, with a very cold temperature of 30F -1C here at Fractal Central. And yes, if there had been any pumpkins in the field, they would have had frost on them. But by the time clouds arrived in mid morning, the strong May sun had warmed the air to 66F 19C, where the temperature stayed all afternoon. The fractal cats were exceptionally active for most of the day. My day was a bit busier than usual, resulting in a fractal that is a bit less worthy than usual. Better things will happen tomorrow however, so until the next FOTD appears in 24 hours, take care, and be careful what you iterate. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Lost_Minibrot { ; time=0:17:22.32-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=sin passes=1 center-mag=-1.35514864109703900/-0.138026541520764\ 20/2.473146e+012/1/-90/3.8857806e-016 params=1.09/\ 0/19.6/1500 float=y maxiter=3600 inside=255 logmap=1740 periodicity=10 mathtolerance=0.05/1 colors=000Kedmzdmzdmydcxdjsdjvdhu_csVZqQUoLPmGLkBL\ h6Ld5La5LZ5LW5MT5MQ5MN5MK5MG5ME5NC5NA5N85N65N45N25\ L15K05J05I05G05F05E05D05C05A0590580570560540530520\ 510500500510731943A64C75E87FA8HB9JDBKECMFDOHFPIGRK\ HTLJUMKWOLYPNZRO`SPbTQcMVZG_VAcRP_AGd66i50o50m50l5\ 0k50j50i50h50g50e50d50c50b50a50`50_50Y50X61W61V71U\ 71T81S82Q92PA2OA2NB3MB3LC3KC3ID4HD4GE4FE4EF5DF5CG5\ AG59H68H67I66I65J05Q64JD3DK27Q05R15S25T35T45U55V67\ W78W89X9AYABZBDZCE_DF`EGaFHaGIbHKcILdJMdKNeLOfLQgM\ RgNShOTiPUjQWjRXkSYlTZmU_mV`nWboXcpYdpZeq_fr`hsais\ bjtckudludmnehhfcbf_WgVQgRKhMDhQ7iV0h_1id6iiBjmGjq\ MjqRkqWkq_oq`kq`hquhquaquoqulqcSqcZqcZqdZqdUqeUqeU\ qfUqfUqgUqfUqeUqdUqcUqbUqaUq`Uq_ZqZZqYZqXZqWZqWZqV\ ZqUZqTZqScqRhqQmqPrqOrqNrqMrqLrqKrqKrqJrqIrqHrqGrq\ FrqErqDrqCrqBrqArq9rq8rq8sqBqqDrqFrqHrqJrqMrqOrqQr\ qSrqcrqcrqdrqdrqdrqdrqerq } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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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RE: DOS Fractint error. Horizontal streaks FIXED
by Hal Lane 14 May '07

14 May '07

================================================== Both periodicity=0 and periodicity=15 fix the artifact described in my previous post below. (Periodicity was 10 in the fractal with the artifact.) Periodicity is on the Fractint <Y> screen. Jonathan Osuch said: >Turning periodicity off [ =0 ] is the better solution, as long as you don't >need the periodicity checking because you have a lot of pixels in the >lake along with a high iteration count. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### Hal Lane said: >DOS Fractint error. Horizontal streaks >in fractal in View Window. This is a zoom out to >the parent fractal of Jim Muth's FOTD 07-05-09 >displayed in a View Window. > >As the View Window size is increased by changing the >Size Reduction Factor from 8 to 6 to 4 the number of >horizontal streaks decreases. > >The fractal calculates correctly when the View Window >is turned off. Parm file is [in previous post]. > >I use the View Window a lot, but I don't see this too often. > >I had thought that passes=1 kept these streaks from >appearing... > > >Does anyone have any ideas what causes these horizontal >streaks when using the View Window and how to avoid them? >============================================ No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.467 / Virus Database: 269.7.0/803 - Release Date: 5/13/07 12:17 PM

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FOTD 14-05-07 (Red Eyes [7])
by Jim Muth 13 May '07

13 May '07

FOTD -- May 14, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image was generated when I combined 11 negative parts of Z^(-1.1) with one negative part of Z^(-6.1) and added (1/C) to produce a humongous parent fractal with one large 'fan' and countless ringlets. Today's scene is located in a ring close to the 'fan'. I named the image "Red Eyes". The reddish spots surrounding the invisible midget at the center do appear somewhat like bloodshot eyes. The center midget is invisible because it is filled in with 'bof61' inside fill. In fact, the entire image is 'evapora- ted'. It consists totally of inside material, which has been brought to life by the 'bof61' inside fill. The calculation time is a very brief 54 seconds on the P4-2000 unit. This is probably a shorter time than would be required to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the completed image there. Mother's Day Sunday was as fine a day as ever happens here at Fractal Central. Even the fractal cats agreed that the crystal clear skies and temperature of 66F 19C could not be improved upon. My day was about average. Tomorrow is expected to be the same. The next FOTD will appear in 24 hours. Until then, take care, and be careful of fractal intricacy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Red-Eyes { ; time=0:00:54.38-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-3.56807340931469200/+0.097041418150803\ 29/1.18379e+009/1/-127.5/0.00370419769964318302 params=-11/-1.1/-1/-6.1/0/1e+100/0/0 float=y maxiter=1500 inside=bof61 periodicity=10 colors=000vbes_hpXkmVmiSpfPscMvDCHPGbh3Nf8XdCebGon\ 5ck8hhBleEpbHtqXwmUxjRxfPxcMx5xBDmOLc_TUlBriO`qfx3\ doFcgRb_aaSmH_gRSp0E5pkTld`hYhdRp34986GC8MGATKCZPE\ eTGkXIrHkkKgmNcoQ_qgHjZ`YQsLSnRTjWUf`VbfWZkXVpVasT\ huRowQuyLijGZWCOHBLJAIL9GMAAmJEiRHfZKcfN`nQYmT_lVa\ kYck_ejagidihfkhhlfbjdXicRhaLg_FfZ9ebBgfDijFknHlrJ\ nvLpyMqsXsnftipvdzw`svYmuUgtRasNWrKQqGKpDEoMJeVOXc\ TNkYEXVJJSN5PR7NP8MO9LNAKMBJLCIKDHJEGIHJNKMRNPWPR_\ SUdVXhY_m_aq_n_dq`hx`YjMN`7kkvnWspHqr2oo3jm4ej4`h5\ Xf5Se6Nd6Jg5Gj4Ek3Bl29l17nAGoIPrQXtYewenymvzZ0_99C\ 5IHAMLFQQKUPKPYU`c`gRPWONTLLRIJPdAwYOjS`ZLzMzzAHrD\ JkGLdINaOPZTRXZTUcVRhXPnZMsCANGCTKDYNFcRGhUInYJsPb\ sSZtUVuXRvZNwzuMUA4zzs7Fw1Fz3Mp4Tg5_Z7rz8mG9s7PmKc\ hXrciw2vt5wq7wn9wkBwhExeGxbIxarW`m``hd`ch`Zl`Up`Pt\ s`BqfyYJAZKR_KgMTZPRbRQfTPjVNmXMqZLuWyhXplYhoZ_r_S\ uYUZZSbZRf_Pj_Oz`Mq`Luzeb } 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 13-05-07 (Candy Carnival Corns [7])
by Jim Muth 13 May '07

13 May '07

FOTD -- May 13, 2007 (Rating 7) Fractal visionaries and enthusiasts: The parent of today's image came about when I combined negative (1/Z) with Z^(-1.3) and added (1/C) to create a curiously distorted Mandeloid with its main period-2 bud hidden beneath a patch of low-iteration stuff. Today's image is located where a network of filaments vanishes behind another patch of low- iteration stuff. I named the image "Candy Carnival Corns". I never did outgrow my taste for those outrageously sweet triangular orange, white and yellow candies. The rating of a 7 reflects my above-average opinion of the image. The calculation time of 3-1/3 minutes is true om the new P4-2000 machine. The old P200 would have taken around 15 minutes to finish the job. All this calculating may be avoided by taking a virtual journy to th FOTD web site and viewing the completed image there. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday started with near perfect weather, but by mid-afternoon the clouds moved in and light showers began to fall. The fractal cats paid no attention to the rain. They were too busy entertaining themselves with their stuffed toys. My day was busier than usual for a Saturday, but by the time the rain arrived, the work had been finished. The next FOTD will appear in 24 hours. Until then, take care, and become a third- degree fractalist. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= CandyCarnivalCorns { ; time=0:03:22.29-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.07340647874192174/-0.530996539718394\ 00/1.874842e+007/1/82.4999996251260228/1.471117287\ 47428838e-006 params=-1/1/1/-1.3/0/0/0/0 float=y maxiter=2500 inside=0 logmap=370 periodicity=10 colors=000B0X90`70c60f92aB3YD5UF6QH8MJ9ILBENCAJBDF\ AFC9H88J47L16N6BMBGMGLLLPLQUKVZK_cJcgJ_`KWVKSPKPJK\ MAZJ1mMHqPXuSkx3ZdH_XV`PhaIg_FfYDeXBdV9cT7bS5eVAgX\ FzXvkaOncTpfYrhbtjfmULfD0gBDhAPi8aj7mj6ykFslOmmXgn\ eanmWrkWviWyhWteXpbXl`XhYXdWX`TXXRXWLTWFQW9NV7RV6U\ V4XV3`V1cV0ffthikakbWmVQpMKrDEt58r6Ap6Bn6Dl6Ej6Fh6\ Hf6Ie6JoYipSbqNXrHQsCKt6Du17tA6sI5sQ4rY3re2qm1zr0o\ dAYCck7SZDuYOcYZMYh4CBqPMj`WclfXxpQyVGz96sCClFIeHO\ _KTTMZMPdGRiHQhIPgIPfJOeKNdKNcLMbLMaTKU`INhGGpE9wD\ 2tH5rL8oPAmTDjXGh`IedLcgNcaOcXPcSQcNRcIScDTaFV_GXY\ HYWI_UJaSKbQLdOMeQQXRTPTWGUZ8__Fe`MkaTqb_wcekXe_Qe\ OJeDDetikslfrobqqYptUowPnzLgzOezQczTazV_zXYz_WzaUz\ cTzfSuiRpkQknPfqOfsQfqSfoUfmWfkYfj_fqakgcpZeuagzdi\ zgkzdmzboz`qzZszXuzVzzhxzuyzrzzozzmzzjzzgzzezzbzz`\ zzWzzRzzNzzIzzDzz9zz4zz0zz7zzDzzJzzPzzVzz`zz_zzZzz\ YzzXzzWzzVzzUzzSzzQzzQzzU } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Fractal widgets...?
by Tony Hanmer 13 May '07

13 May '07

I've just been searching for widgets to add to one's blog, under the term "fractal". Seems there aren't any. I was thinking, for example, of something which lets the blog viewer input coordinates for the Mandelbrot set, by numbers or by pointing the mouse; or allows one to try out iterations of a choice of L-systems, or to play with holons of an IFS. These would be really cool to have. Anyone interested in programming such? Tony Hanmer

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Re: Fractint Digest, Vol 51, Issue 7
by jackoftradez＠comcast.net 13 May '07

13 May '07

. C:\DOS C:\DOS\RUN RUN\DOS\RUN! .

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FOTD 12-05-07 (Apparition Root [6])
by Jim Muth 12 May '07

12 May '07

FOTD -- May 12, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image is found rather deep in a valley on the southwest shoreline of the S-shaped main bay of the parent fractal that results when the formula Z^sqrt(2)+C is iterated 130 levels up the logarithmic ladder. The image is unusually rich for one found in a fractal created by an exponent of Z between 1 and 2. Usually fractals in this range hold far fewer spirals and much less intricate detail. Except for the brilliant blue inside fill, the image was rendered in the traditional equal-iteration-bands manner. All the excitement is due to the fractal itself and not to any human manipulation. I named the image "Apparition Root" for no obvious reason. Then I rated it at a 6, which seems about right. The calculation time of 14 odd minutes may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Friday began with dense fog here at Fractal Central, but by 9am the sun had done its work, and the rest of the day was perfect, with sunny skies, gentle winds and a temperature of 81F 27C. The fractal cats passed a good part of the day sitting in the window, watching the world go by. The rest of the time they spent chasing each other up and down the hallway. My day was busier than normal, but not extremely so. The next FOTD will appear in 24 hours. Until then, take care, and be at one with fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Apparition_Root { ; time=0:14:22.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.26354287579943400/-0.456797947395005\ 10/7.112779e+008/1/-75/3.7304841097131336e-005 params=1.4142/0/130/0 float=y maxiter=14500 inside=255 logmap=1110 periodicity=10 colors=000F_PGrOIpNJmMKkLMhJNeIPcHQ`GRZFT_HU`JVaLW\ bNXcPYcRZdT_eV`fXagZbg`chbdidecefdgaihhjjijjj`ff_f\ nVklfgkdfibehXeePdeTddVdbTdaRc`QcZJcYOcXNbRMbQKbSI\ bRGaQEaOCaNAaMA`KA`JA`HA`GAZFAZDAYCAXBAU9AT8AR6AQ5\ AO49O28O17O06O17N17N27O28O38P38P49O49P59Q59Q6AR6AS\ 7AQ7BP8BO8BN9BM9CMACKACKBDJBDICDHCDHDCIECIFCIGCIHC\ IICJJCJKCJLCJMCJNCJOCKPCKQCKRCKSCKTCLUCLVCLWCLXCLX\ CLWEMVFNVGOUHPUJPTKQTLRSMSRNTRPTQQUQRVPSWPUWOVXOWY\ NXZMY_M__L``LaaKbbPdbUecZfdcgechfcjfckgmmhzrizwiwr\ eCmaBhY9bV8_R7XN5UK4RG3OC2L9HTKV_Uhfcvmmli`cfPVbDM\ _1NZ2OZ2PZ2PZ3QZ3RZ3SZ4SZ4TZ4UZ4VZ5VZ5WZ5XZ6XZ6YZ6\ ZZ7cZ7hZ7mZ7rZ8sZ8tZ8uZ9vZ9wZ9zZAw_AuaAscAqeBogCmi\ CkkDikEglEemFcmGanG_nHYlHXkIWhJVgJUgKUhLThLSiMRjMQ\ jNPkOOkOOlPNmQMmQLnRKnSJoSIpTHpTHqUGqVFrVErWDsXCtX\ BtYAuYAuZ9v_8w_7w`6xa5xa4yb4ybMtZNsYNrYNqYNpYOoYOn\ YOmYOlYPkYPjYHrQFuRDxRpzz } 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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DOS Fractint rendering error
by Hal Lane 11 May '07

11 May '07

======================================================= DOS Fractint error. Horizontal streaks in fractal in View Window. This is a zoom out to the parent fractal of Jim Muth's FOTD 07-05-09 displayed in a View Window. As the View Window size is increased by changing the Size Reduction Factor from 8 to 6 to 4 the number of horizontal streaks decreases. The fractal calculates correctly when the View Window is turned off. Parm file is below. I use the View Window a lot, but I don't see this too often. I had thought that passes=1 kept these streaks from appearing... Does anyone have any ideas what causes these horizontal streaks when using the View Window and how to avoid them? - Hal Lane ######################### # hallane(a)earthlink.net # ######################### BEGIN PARAMETER FILE========================================= ImagInterlude_Err { ; Hal Lane 07-05-09 3.3 P400 128x96 ; DOS Fractint error. Horizontal streaks ; in fractal in View Window. Zoom out to ; parent fractal of Jim Muth's FOTD 070509 reset=2004 type=formula formulafile=_m.frm formulaname=mandautocritinz function=recip passes=1 center-mag=3.63798e-012/-1.81899e-012/6.832e-005 params=-5/-1.1/-1/-5.5/0/-40/0/0 float=y maxiter=1600 inside=fmod proximity=1 periodicity=10 viewwindows=8/0.75/yes/0/0 sound=off colors=000WY8WZ4<2>HCE<2>GEJGFKEEo<3>8Ni7Ph5Rg<2>1Xc<3>\ 6gf7jg8lg<2>Bti<8>BRoBOpBLq<3>B8s<5>UHnYJm`Kl<3>lQiQV5<\ 3>dQNhPRlOWpN_sMc<3>lSbjTbiUa<2>dYabZa`aZ<3>dVieTlfSngQ\ qhOtgLy<7>lUflVdmWb<3>o_UrcR<7>aNW_LXYJX<2>SDZQB_MGKO9_\ <3>U7ZV7Z000QSq<3>DEmAAl76k43j<2>25N25G38F<3>7JC8LB9OAA\ RABTA<3>FdUGgZGjcHmhIpm<2>JzzUWV<2>z8f<3>bMYXPWRSU<2>Aa\ O<3>JhVLjXOkYQm_wzaUpbWrdzzzXqb<6>VgNUeKUdI<3>TZ9<4>TUC\ TTDTSD<2>TPFTOFVQD<4>__7`a6ac5<3>ej0<3>mT1oP1qL1<2>w81<\ 3>u67t69t6A<8>e9ccAgaAj<2>XBtWBwWDr<8>WUG000 } 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========================================= No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.5.467 / Virus Database: 269.6.8/797 - Release Date: 5/10/07 5:10 PM

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FOTD 11-05-07 (Toward the Light [6])
by Jim Muth 11 May '07

11 May '07

FOTD -- May 11, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image reminds me of a NDE or near-death experience. I named it "Toward the Light". All the standard NDE stuff is there, including the narrow doorway at the end of the brightly- lit tunnel and the celestial clouds, filled with nebulae of stars. I leave it to the viewer to decide whether paradise lies beyond that distant doorway at the end of the tunnel, or the whole thing is an illusion of an oxygen-starved brain. One thing for certain is that today's image rates a 6. I briefly considered rating it at a 7, but on second thought decided on a 6. The tunnel effect is not quite strong enough to earn a rating of 7. Actually, the little midget near the center is an exact copy of its parent fractal, which is a large northwest-southeast- oriented, flat oval-shaped bay with a field of fractal chaos extending some distance to the northwest. But today's image is located off to the side, in some suburban debris on the north- east side of the large oval main bay. The calculation time of 55 seconds is true on the P4-2000 unit, but even on the P200 the time would be no more than 5 minutes. The P4-2000 has 10 times the clock speed of the old P200, but calculates fractals only 5 times as fast. All this confusion about time may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Thursday started fair enough here at Fractal Central, with lots of sun and a temperature in the 70's F, low 20's C, but clouds moved in just after noon, and a thunder-shower arrived at 4pm. All of this went un-noticed by the fractal cats, who spent most of the day sleeping like they were already over 15 years old. My day was notably average. The next FOTD will appear in 24 hours. Until then, take care, and search for those elusive alternate universes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Toward_the_Light { ; time=0:00:55.70-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+1.1894422532\ 06258/+4.118993571150736/8.056414e+007/1/-100/8.45\ 041294705306534e-005 params=1.11/0/11/3500 float=y maxiter=2700 inside=0 logmap=153 periodicity=10 colors=00000FeQMufQVPO48N89QB9TEAVHAYF4WOBbRCeUCgQ\ AfL8fH6fC4f82f40f73dA5jC7lFAnHCpKErMHtPJvRLwOKvLJn\ IJuFItCIt9Hs7Hs8Kp8Nm8Qj9Th9We9ZbAa_AdYAgVBjSBmPBp\ NCsKCvHUfFcxItwKzzztuOmtQcsSUrUWqWZpY`l_cnaemc_ofU\ qiOrlItoCvr7wtBvsFzzJtrNsrRrqVqqYpqaopenpimomlozzz\ ujnxinyhpzhrzhtzhvzhwzfnzdfzbYz`QzWOzSNzOMzJKzFJzB\ IzO4zN8zNCyNGxNKwMOuMSsMWqM_oPYmRWkTUiVSgYQe_PcaNa\ cL_fJYhHXjGVlEToCRqAPs8Ot7MuALvCKwEJxHIyJzzLzzOzzQ\ zzSzzVzzXzzZzz`zzMzzLzzLzzLzzLzzLzzLzzLzzLzzUzzWzz\ Yzz_zz`zzbzzdzzezzgzzizzjzzizzhzzjzzazzazzbzzbzzUz\ zLzzDzzEzzFzzFzzGzzGzzHzzHzzAzz4zzRjzSyzTuzLrzEszB\ tz8uz5uz3jz9`zERzJWzL_zMdzNhzOmzPqzQazZbzRbzKbzDWz\ LQzTJz`DzhJzYOzOUzDZz3VzARzHOzNNzSMzWLz_KzdJzhIzlH\ zpAzo4zoFzpQzq_zrjzstztnzphzlczhYzeSzaNzYHzUCzRBzU\ AzX9z_9zbQzW_zbhzhqznnzgkzaizWfzPdzJazDEzAHz7Kz5Nz\ 3Qz1Xz5cz8izBKzBMzDNzFOzH } 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 10-05-07 (The Edges of Infinity [6])
by Jim Muth 10 May '07

10 May '07

FOTD -- May 10, 2007 (Rating 6) Fractal visionaries and enthusiasts: When we see an escape radius of one googol in a fractal with only negative powers of Z, we know that the image shows an 'evaporated' fractal. Today's image has an escape radius of one googol and the powers of Z are -1.5 and -5.5. Therefore, the image is 'evaporated'. Evaporated fractals consist of only 'inside' stuff. All points are trapped. When rendered in the normal equal-iteration-band manner, an 'evaporated' fractal will not be a fractal at all. It will be a blank screen. But apply an active 'inside' fill to that blank screen and watch what happens. I rendered today's image with the inside set to 'bof61', which colors the points according to the number of the iteration that takes the points closest to the origin. The result is an image that rates a 6. The parent fractal consists of 4 bays, many fractal rings, and a prominent 'fan'. Today's scene is located in the interior of the fan. After a bit of meditation, I named the image "The Edges of Infinity". And why not? It's hardly possible to get closer to infinity than the googol that the points in today's fractal are allowed to wander. (Yes, I realize that 10^100 is no closer to infinity than just plain 10.) The render time of 2 minutes is true on the new fractal- dedicated computer -- a 2000mhz P4 unit. On the old P1-200mhz the image would have taken around 12 minutes, which is still within reason. Even more reasonable is the FOTD web site, where the completed image is posted for easy viewing. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another perfect day passed unappreciated by the fractal cats here at Fractal Central on Wednesday. They were totally uncon- cerned with the sunny skies, light winds and high temperature of 84F 29C. They did concern themselves with their evening treats however. My day was unexpectedly busy, but the job was a small one and was finished by the middle of the afternoon. Tomorrow will likely be the same. The next FOTD will appear in 24 hours. Until then, take care, and the light is right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheEdgesOfInfinity { ; time=0:02:07--SF5 on a P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.537981778375796/+0.06779821367610976\ /3.416741e+010/1/147.5/-0.0575485351264499873 params=-5.5/-1.5/-1.5/-5.5/0/1e+100/0/0 float=y maxiter=1600 inside=bof61 periodicity=10 colors=000XaYTbVPcSLdPHeMDfKLaRTYX`UbhPhpLnxHtrIpm\ JlgKibLeYMaSNZNOVIOSJNTKNULMVMMWNMXOLYPLZQL_RK`SKa\ SKaRN_QQZPTXOWWNZUNaTMdRLgQKjOJmNIpLIrKJjRJcXKXbKQ\ hLJnLCtL5zUJtbXnkjhtwcusduodvldvheweewaexYfxVfyRfy\ OgzKgzHgwGhtGiqFjnFjmIklKkkMkYOUiQkVSXgUkPRTeZkd`k\ cbkbdkafk`hk_jkZlkWihUfeScbQa_OZXMWVKTSIRPGOMELJCJ\ HIPFOUDU_B_d9ei7ko5qt3vy1mx5dx9WxDNxHExL6xOAyLDyIG\ yFJyCHkNFYXHRWIKVJDUK6TLAYMEaNHeOLiPPmQSqRWuSZytTl\ tEvmSpgekmI9fLA`OBVRCPUCJXDD_E7bEEeGLhHSjJZmKepMkr\ N_kOPeOEZO3TOmWDdZHWaLOdPFgT7iWwGndQTbJMaDF_68Z02V\ 59S9FPDLLIRIMXFQb9bS4oIBpLIqNPrQWrSbsUitXpuZvu`sn_\ qh_ob_lX_jR_hL_fF_iYpeNmI8xNCwSGvWBzXKvXTrYananhYi\ kVdmS_oOVqLQsHOwILuJJtJHsKFrLCqLApM8oH1mM6nQAnVFnZ\ JncOogSolXot_vp`ol`hi`ae`Va`OdZBZ`ITaOObUUc__deedk\ keqvazpewkhtfkqannXqlVogUmcSl_RjVPiROgNOkHNfJNbKNY\ LNUMMQNMLOMHPOEPMDQdZc`_` } 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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