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FOTD 15-02-12 (Broken Elephants [7])
by Jim Muth 15 Feb '12

15 Feb '12

FOTD -- February 15, 2012 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Broken Elephants" after the fragmentary elephants scattered around the typical minibrot at the center, the most obvious of which lies at the top center of the image. The parent fractal, (and the image as well), came about when I combined some Z^(3.1) with some Z^(2.7) and added straight C on each iteration. At first glance this parent resembles nothing more than a perturbed mandelbrot set, but despite the surface appearance, it holds intact minibrots. One of these minibrots appears in today's image. The scene lies in a larger fragmented elephant in the East Valley area of the parent fractal. The rating of a 7 is routine, since I put too little effort into the image to raise it to a higher level. The calculation time of one minute will pass swiftly, though visiting the web sites will eliminate the task of calculation. Find calculation relief on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> where the finished image is posted. The image is posted in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original, now classic, FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Today brought a mix of sun and clouds and a temperature of 46F +8C to Fractal Central, which exists as a separate entity only in the imagination. The fractal cats, who most certainly do exist in physical reality, spent an hour waiting for more sun, then retired to the artificial heat. The humans, FL and I, spent the day working, finding fractals, and discussing the meaning of it all. The next FOTD image will be posted in 24 hours. Until then, take care, and if there is no higher meaning to life, why do so many intelligent people expend so much energy searching for it? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Broken_Elephants { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+1.457913948026351/-0.01919210166952472\ /9.7e+008/1/96.25/0 params=1.4/3.1/-1.6/2.7/0/0/0/0 maxiter=1200 inside=0 logmap=81 periodicity=6 colors=000Hs_HsaHscHseHsgHshGriGrjGrjFrkFrlFrlFrmE\ rnErnEroEroDqpDqqDqqCqrCqsCqsCqtBquBquBpvBovAnsAkq\ AhoAfmAckA`iAZgAWdATbAQ`AOZALXAIVAGTCISEKSGMSINSJP\ SUKIcSGmZEzfBpn9nu7rrKvpUwncnchdRa`PUdIKgGAjF9nDAq\ CAtABw9BuCFtFIsILrLOqORpRUoUXnX_m_blbekdhmbgnafo`e\ p_dzczzazz_zzYzzWzzUzzSzvQmrOmmNmhLQcKNZJKUHHUGEUF\ BUD8mC5lB3jA6i98h9Ag8Cf7Ed7Gc6Ib5La5N`4PZ4RY3TX2VW\ 2XV1ZU1`V3bW5dX7fY8gX9aXAWXBQXCKLRSNTRPURRWRSYRU_R\ W`RYbQ_dQ`fQbgQdiQfkQhmPinPkpPmrPotPpuPoqQomRoiRoe\ SoaToYToUUoQVoNViKZcHbYEeSBiM8mH6pJ7nL7lN7kP7iQ8gS\ 8fU8dW8bY8aZ9_`9Yb9Xd9Ve9UdEScJQbNOaSN`WL``J_dHZiG\ YmEXrCXvBZuB`uCbtCdtDfsDhsEjrFlrFnqGpqGrpHspHqqJpq\ LnrNmrPksRjsTisVgtXftZdu`cubbudase`re`qf_pf_ogZmgY\ lhYkmXjmXimThmPgmMfmIemFdmBcmKbrKevKhzKjzUmzUozUrz\ Utzcwzcyzczzczzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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chocolat_drop
by Sebastien Helie 15 Feb '12

15 Feb '12

Wondering around in past formulae, interesting find. I had a dream, of a walking human pig, i wonder if those error existe, since the pig is a fractal form nothing can surprise me. left to enjoy at https://sites.google.com/site/sinpix12823fractal START PARAMETER FILE=================================== chocolat_drop { ; fractal tread line reset=2004 type=formula formulafile=2012_3.frm formulaname=suivance1 center-mag=-0.71758166687397960/+0.01800282190735769/321.8368 params=0/1000 float=y inside=0 potential=120/200/4 colors=000<3>000000111<3>444555555<3>999AAAAAABBBEEE<3>SSSWWW___ccchhhmm\ mssszzz<8>QQQLLLHHH<3>000<3>G8ELAIPCL<3>eK_iMcmOg<2>zVr<2>zVV<3>zzV<3>Vz\ V<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzzhuzhqz<8>IMQFILCFH<3>000<4\ >949B5BC6C<3>KAKMBMOCOQDQSES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSK\ QSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3\ >0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8E\ G8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG00\ 0<6>000 } frm:suivance1{;sinpix r=real(p1)+1 z=pixel: x=z^0.5 q=x/r i=sin(4*z)+tan(2+q) z=z-i^3*pixel |z|<4 } END PARAMETER FILE=================================

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treist_energy
by Sebastien Helie 14 Feb '12

14 Feb '12

I force myself to keep parsing one this week having a bad cold to deal with, a new phenomenon happen, day dreaming vision of fractal, they pass like a flash but i can keep a sharp idea of the image passing on, interesting and not disturbing. Treist_energy is a nice zoom inside a non interesting general frame, call it treist from a error, i whanted to wright preist, and touch the t by error and then keep it. the image is balanced out at https://sites.google.com/site/sinpix12823fractal/ under treist_energy has well, the search engine of the page might be worked out a little. Will check this tomorrow if i can parameter the object. start parameter file=============================== triest_energy { reset=2004 type=formula formulafile=2012_3.frm formulaname=sol corners=-0.949843304/-0.879443304/-0.0246470785/0.0281529215 params=1/0/1/0 float=y inside=0 potential=120/200/0 colors=000<3>IIINNNSSS<2>eee<8>VVVTTTSSS<3>MMM<3>XXX___bbbeee<8>lRRmPPnN\ N<2>qIIrGGqJJ<3>kUUjXXh__gbbeeeefeegd<8>HIHFFECCB<3>000<8>9LNANQBPS<3>FZ\ b<3>9LN8IK6EG<2>244000111<3>556767A9A<7>cccgfgkjk<3>zzz<8>eYccV`aSZ<3>SE\ O<2>SEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMS\ KKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8\ GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGB\ CGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:sol{;sinpix a=real(p1)+imag(p1) b=real(p2)+imag(p2) z=pixel: c=a*z^b z=a*z^z+tan(z^b)/2+(b*z)/c^pixel |z|<4 } end parameter file==================================

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FOTD 14-02-12 (Expansion [8])
by Jim Muth 14 Feb '12

14 Feb '12

FOTD -- February 14, 2012 (Rating 8) Fractal visionaries and enthusiasts: Today's image shows an order-11 minibrot in the 'star' of a tiny period-26 radical on the northwest shore line of its parent Mandelbrot set. I rated the image at an 8 because it shows what can be done with the higher order minibrots when they are inserted into the 2-way symmetry patterns of the Mandelbrot set. By itself, the formula Z^11+C produces warped minibrots with surrounding patterns squeezed so close that they tend to all look the same. But when mixed with Z^2 stuff, as was done in today's image, the order-11 minibrots develop surrounding patterns that expand until they are almost as large and varied as the patterns surrounding the Z^2 minibrots. The name "Expansion" refers to this pattern xpansion. The calculation time of 2-3/4 minutes is a little slow, but the FOTD wb sites are always ready to come to the rescue. Be a big-time thinker by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> And check the high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Some sun, some clouds, and a temperature of 45F +7C made the day a pleasant though uneventful one here at Fractal Central. Light snow that was forecast failed to appear. The two fractal cats approved of things, though they would have preferred more sun. The local humans, FL and I, after a mild debate about liberal and conservative politics, had a routine uneventful day. The next FOTD will be posted in 24 hours. Until then, take care, and the end could be near, so learn to be satisfied with less. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Expansion { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-47.35787920839996/+35.10364552060459/\ 4.904754e+008/1/-90/0 params=11/80 float=y maxiter=1800 inside=0 logmap=192 periodicity=6 colors=000DLcFJdGHfHFgIEhJCjKAkL8mM6nN5nN6oP7oR9oT\ BoVEoXGoZIo`KobNodPofRogSphTohTnhTmhTliUkiWjiYji_i\ jahjcgjefjgekiekkdklckmbllalk`lj_li_mhZmgYmfXmeWnd\ VncVnbUnaTo`So_RoZQpYToXQkUNfRKbOHYMEUKBPI8LH5KG2J\ G4LI6MK7OL9QNBRPCTQEVSGWUHYWJ_XL`ZMb`OdaQecRgeTigV\ jiWlkWmmVnkUmiRlgOkeLicIgaFebCcc9ac6_d6_e6_f6_f7_g\ 7`h7`i7`i8bj8ek8hl8kl9nm9qn9to9woAzpAzqAvrArt9mrAh\ pAcoA_mAZkAYjAXhAWfAVeAUcATaAS`ARZAQYAOWBNUBMTBLRB\ KPBJOBIMBHKBGJBFHBEFBDEBCCBAA8BBBBCDCDFCDHCEJDFMDF\ OEGQEHSEHUFIXFJZGJ`GKbGLdHLgHMiINkINmIOoJPrJPtKQvK\ RxKRzJRxJRwJRwIRwIRwIRwHRwHRwHRwHRwGWzGWzGWzFWzFWz\ FWzFWzEWzEWzEWzDWzDWzDWzDWzCWzCWzCWzBWzBWzBWz6UzBW\ zGWzLWzQWzVVz_PzZPzZPzZPzZPzZPzZUzZUz_UzYUzWUzWTzW\ SzURzTQzUOzUMzUKzUIzUHzUGzUFzcEmcDncBocApc9qc8rc7s\ c5tc6uc6vc6wc6xc7yc7zc7zc7zm8zm8zm8zm8zm9zm9zm9zm9\ zo8zq9zr9zs9zuAzwAzzAzzBz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 13-02-12 (Captain Cutlass [7.5])
by Jim Muth 13 Feb '12

13 Feb '12

FOTD -- February 13, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 0.4 parts of Z^(-0.8) are subtracted from Z^2 and (1/C) is added on each iteration. This parent is a gargantuan spider network with a very distorted Mandelbrot set near the origin. Today's image is located in a filament extending from a small bud on the southwest shore line of the main bay of this distorted M-set. The name "Captain Cutlass" came about when the sickle-shaped elements reminded me of the cutlasses that might have been wielded by the pirates of old. (Many years ago I wrote a novel of the same name, the plot of which is best left untold.) A close examination will reveal a jaggedness along the edges, especially near the minibrot at the center. This jaggedness is the beginning of total resolution breakdown. With an image magnitude of over 2*(10^13) this is to be expected. The rating of a 7-1/2 might be stretching it a bit. The image really holds little of an exceptional nature. But like all fractals, it is one that holds an infinity of secrets, which makes it worth at least a cursory glance. The calculation time of 2-1/2 minutes is a bit long to wait for an everyday image such as today's. Here is where the web sites ride to the rescue. So be cool! Avoid the hassle of running the parameter file by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Be cooler! View the image in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Be the coolest by viewing the entire library of FOTD images at: <http://www.Nahee.com/FOTD/> Today brought total sun and a notably warmer temperature of 39F +4C to Fractal Central. The fractal cats made up for the sun time they lost over the week-end by spending the better part of the afternoon in the sun on the shelf in the southwest window. At the same time, the humans made it through the day unevent- fully. Somehow I became subscribed to a liberal political activist e-mailing list. I rather suspect that FL is involved here, but it's no problem. I rather enjoy reading the ideas some liberals have about solving the country's problems, but I'm not ready to go out and stand on a corner waving a sign about the evils of the big corporations. The next FOTD will be posted in 24 hours. Until then, take care, and what is wrong with humanity? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Captain_Cutlass { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+1.000125895457505/-0.1044759082479428/\ 2.615924e+013/1/-40/0 params=1/2/-0.4/-0.8/0/0/0/0 float=y maxiter=1200 inside=0 logmap=141 periodicity=6 mathtolerance=0.5/1 colors=000CBmCCl9DkCEjEFiGGhIHgKJfMKfOMfQNfSPeUQeW\ SeYTe_VeaWdcYdeZdg`diackccmdcofcpgfqgcodamb_jZXfTV\ bRRZKPWHLXEJWCHUBGSBDSADQABP99O9AN8AM8BK9BI9CH9CF9\ DDA5C80A60840720510400RLCfU9ma2zb6vb9rbCmcGhcJcbN`\ cMYcLVcLSbKPaJMaJK`ILaHMZHNZGOZFPZFQYERWDSWDTWCUVB\ VWzzpAYozzpAUzzzzDRzzzzGOzzzzILzzzzLIzzzzOFzzzpRzp\ SzpUzpVzpWzhVZaVY`UX_TXZTWZSVYSVXRUXRTWQTVPSKPRKOR\ KOQKNPKNPKMOKLNKLNKKMKKLKJKJKIFJFCJA9IA2ILUILWHLYH\ M_HMaGMbGMdGMfFMhFEkHMiFThE`gDfgBgfCgfChfCheCieCie\ DjeDjdDkdDkdDlcElcEmcEmcEnbEnbFobFoaFpaFpaFpaFlYIh\ VKeSNaPPYLRVIURFWOCYPJbQQfRXjRbnQamQamQamQ`mQ`mQ`m\ Q_mQ_mQ_mQZmQZmQZlQYlQYlQYlQXlQXlQXlQWlQWlQWlQWlWR\ maNm`Pm_RmZTmYVmXXmWYmUYlSYkQYkzYzzYzzYizYzzYhzYzz\ YgzYzzRNzKzzN9zPzzSLzUzzWXzZzz`zzbzzOdz9zzAXzBzzCY\ zDzzEYzFzzGZzHZzIzzJ_zKzzL`zMzzNazOzzPazSzzUezWzzc\ NzazzZRzXzzUVzSzzPZzNzzKb } 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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If anyone knows of a fractal with...
by Hal Lane 13 Feb '12

13 Feb '12

Mike, Thanks for the report of your investigation: > I have often wondered the same thing. I even did some experiments to try to > figure this out on several occasions. The feature that wins is the one that > causes it to bail out at the lowest iteration. Tracing that back to which > part of the equation that is dominant is another matter. > . . . > I really didn't answer your question but I share your curiosity. Upon reflection, your observation clearly makes sense: > The feature that wins is the one that > causes it to bail out at the lowest iteration. > Tracing that back to which > part of the equation that is dominant is another matter. Numerical analysis might possibly be able to shed some light on the aspects of the equations that lead to this phenomenon. One approach might be to find or construct a very simple equation that shows this behavior -- to ease the difficulty of the analysis. General Appeal ============== If anyone knows of a fractal with a simpler equation than Jim Muth's FOTD for February 6th, 2012: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd_2012_02_Feb.html or: http://tinyurl.com/FOTD-for-Feb-2012 that has this type -- F120206A.jpg -- of pattern (one feature "winning" over another when they try to overlap,) I'd like to know about it. Perhaps I can get it to a mathematician who does numerical analysis. But analyzing this is beyond me. The only other conjecture about something similar in fractals that I've had, was concerning areas with sharp discontinuities between them. It strikes me that equations could suddenly start producing significantly different values in an area -- with very small changes in input -- if a discontinuous function like the tangent, ceiling or floor were used. In this case it seems reasonable to me for the pattern in the fractal to be discontinuous. But I've not investigated this. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ================================================================== > Author: Mike Frazier > Date: > To: Fractint and General Fractals Discussion > Subject: Re: [Fractint] Anyone care to venture a thought on... > > > While calculating zooms into the parent fractal of Jim Muth's > > FOTD for February 6th, 2012, I ran across an especially > > clear occurrence of something that happens quite often in > > fractals that I've always found interesting: > > > > When two clearly different features or patterns that dominate > > in their own areas of a fractal meet, often one or the other > > will "win," and will be the only pattern in evidence in the > > overlap area, as opposed to creating a mixture of features. > > > > I've often wondered what aspect of the mathematics involved > > makes one feature "win" during these "confrontations." > > > > > I have often wondered the same thing. I even did some experiments to try to > figure this out on several occasions. The feature that wins is the one that > causes it to bail out at the lowest iteration. Tracing that back to which > part of the equation that is dominant is another matter. These formulas > that mix two powers can create some interesting effects. > > I experimented with the non-rotated version of this formula that Jim posted > a few days ago and it has some interesting features. When you substitute > the parameter numbers, it looks like: > > z = (z^2) * (1/(z^n + 400000))) + c > > When you look for places to zoom into, it has a lot of two way symmetry > just like an ordinary order 2 mandelbrot. The difference is that when you > zoom in on a two way symmetry, the minbrots aren't order 2 they are a > higher order that is determined by the 1/z^n part. > > I really didn't answer your question but I share your curiosity. > > -- > Mike Frazier > www.fracton.org ======

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Re: [Fractint] No XFractint package in Debian Sid?
by jimmckenzie＠earthlink.net 13 Feb '12

13 Feb '12

It is with Mint 11 & 12. I just checked. Try Synaptic Package Manager. As you know Linux is getting a bit fragmented. Just because Debian has something (of "doesn't" in your case) doesn't mean another distro based on Debian won't. Also sometmes the 32 bit version might be a bit different from the 64 bit version. -----Original Message----- >From: david <gnome(a)hawaii.rr.com> >Sent: Feb 13, 2012 1:45 AM >To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> >Subject: [Fractint] No XFractint package in Debian Sid? > >Went to add it to my new system setups, and it's not there. Same thing >with the related extras package. > >Anyone still maintaining them? > >-- >David >gnome(a)hawaii.rr.com >authenticity, honesty, community > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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No XFractint package in Debian Sid?
by david 12 Feb '12

12 Feb '12

Went to add it to my new system setups, and it's not there. Same thing with the related extras package. Anyone still maintaining them? -- David gnome(a)hawaii.rr.com authenticity, honesty, community

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fractal skin
by Sebastien Helie 12 Feb '12

12 Feb '12

it remember me biology course, when looking at cell tissu. start parameter file============================ skin { reset=2004 type=formula formulafile=2012_3.frm formulaname=diffrz2 function=acosh center-mag=0.716194/0.00500626/3.875969/1/-90/3.88578058618804789e-016 params=0.001/0/2/0 float=y inside=0 potential=120/200/4 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\ O<3>ccchhhmmmssszzz00z<3>z0zz0jz0V<8>nPDmRBkU9<2>gb3ee0ff2<7>qqIrrKttM<3\ >zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhhzlh<8>nUMmSJkQG<2>gK8eH5cG5<7>H73F6\ 2C52<3>000_X9<3>UQGTOIRMK<3>LESOESSES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2\ >QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G0\ 0<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2\ >8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBF\ GBDGBCG000<6>000 } frm:diffrz2{;sinpix a=real(p1)+imag(p1) b=real(p2)+imag(p2) c=1/(a+b) z=c^2+(a+b) d=fn1(pixel): z=1/(z^2+1/z^(a+b)^b)*10^pixel |z|<4 } end parameter file==========================

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Anyone care to venture a thought on...
by Hal Lane 12 Feb '12

12 Feb '12

While calculating zooms into the parent fractal of Jim Muth's FOTD for February 6th, 2012, I ran across an especially clear occurrence of something that happens quite often in fractals that I've always found interesting: When two clearly different features or patterns that dominate in their own areas of a fractal meet, often one or the other will "win," and will be the only pattern in evidence in the overlap area, as opposed to creating a mixture of features. I've often wondered what aspect of the mathematics involved makes one feature "win" during these "confrontations." The fractal in question is an anti-aliased zoom into Jim's February 6, 2012 FOTD: F120206A.jpg which I call: "Keep Your Fingers Crossed" I increased Jim's maxiter to 4000 and set color[0] to black to show the confrontation more clearly. I'm going to ask you to click on the fractal's link - "F120206A.jpg" in the far right column labeled: "Hal's Variations on Jim's FOTD (if any)" on my February 2012 FOTD page after navigating to February thru my home page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html since I have a counter on my home page, but not on the individual month pages or their images. If your browser resizes the image, be sure to click on it once to see my original pixels, instead of the browser's resampled pixels... Anyone care to venture a thought on what's going on when one feature "wins" during a "meeting" of features in a fractal? Parameter file is below. - Hal Lane ######################## # hallane(a)earthlink.net ######################## START PARAMETER FILE======================================= A_Mini_What_Is_It2 { ; Hal Lane Feb 11, 2012 t=5:23:31 2.1GHz ; F120206A.jpg 4096x3072 original size, ; anti-aliased 1200 x 900 ; Zoom into Jim Muth's FOTD for ; February 6th, 2012 ; Fractint Version 2004 Patchlevel 4 reset=2004 type=formula formulafile=f120206.par formulaname=julibrotmulti2 function=recip passes=1 center-mag=+0.51016144962107820/-0.69537232287360660/48\ .9205/1/43.0020096674301797/-1.45616946019649474 params=7/400000/167.1/11.4/-125.5/-157.5/-0.1618836541/\ 1.0376863439/-0.1618836541/1.0376863439 float=y maxiter=4000 inside=255 periodicity=6 sound=off colors=000orj<3>nnfnmenld<3>lh`kg_kfZ<2>icWhaUf_SeYPcUM\ bPJ`KGXFCRAEfTG<2>ztK<3>sPMqHMo9Mq0L<8>YDSWFTUGU<2>OLWM\ MXMMV<2>HP_CNc<6>a_MdaKhcH<3>vj8<3>wrWwtawvgyym<8>lgdke\ cicb<3>dWZbX`<3>eRSfQQgOOhNMhLKOSS<3>SZVT`VUbWWaU<8>Slh\ SmiRok<3>QsqhTM<3>nVIoWHpWG<9>WSMURNSRN<3>KQP<3>_IHcGGc\ EE<3>c67<3>c7Dj8E<8>RAPPARNAS<3>EBXCBKABK<7>I7KJ7KK7K<3\ >O5K51WO5eU8oUBx<5>UEkUEiUEg<3>UGZpGX<4>nIMmJKmJI<3>kKA\ gLBdLC`g2<15>JFGHDGGCH<2>D6KC5KD7L<8>MOR000 } frm:JulibrotMulti2 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p2*0.0055555555555556), b=pi*imag(p2*0.0055555555555556), g=pi*real(p3*0.0055555555555556), d=pi*imag(p3*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), aa=-(real(p1)-2), bb=imag(p1), c=p+flip(q)+p4, z=r+flip(s)+p5: z=(bb)*(z*z*fn1(z^(aa)+bb))+c |z|< 6 } END PARAMETER FILE=========================================

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