March 2009 - Fractint - mailman.xmission.com

FOTD 26-03-09 (On the Run [7])
by Jim Muth 26 Mar '09

26 Mar '09

FOTD -- March 26, 2009 (Rating 7) Fractal visionaries and enthusiasts: I ended yesterday's FOTD discussion with a casual question about what benefits the space program has ever produced. And one of the replies was GPS -- the global positioning satellite system. This is indeed a benefit. In the bad old days, we actually had to do things like note the positions of the stars and the time of day, and then do some mathematics if we wanted to know where on earth we were. (I wonder if they still teach celestial navi- gation at the Naval Academy.) Luckily, there is no navigation problem with today's image, which was produced by subtracting Z^(2.6) from Z^(2.4). To see the action, simply load up the included parameter file, strike the 'go' button and within a few minutes the parameter file will generate the image. I named the image "On the Run". There is about as much reason behind the name as there is behind some of my ratings. And BTW, I have been considering dropping the rating system. All it does is deter some people from checking the images. If I do drop the ratings, viewers who want to know the quality of the day's image will have to calculate the image themselves or go view it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and make their own rating. BTW, today's image rates an adequate 7. I really don't think it is worth much more. (Opposing opinions cheerfully accepted.) Increasing clouds marred Wednesday here at Fractal Central, though the temperature of 55F 13C was not at all bad. The fractal cats complained when their afternoon sun failed to appear, but otherwise were happy enough. My day was rather busy. Tomorrow should be the same. The next FOTD will be posted in 24 hours. Until then, take care, and I just saw a Higgs particle pass through the room. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= On_the_Run { ; time=0:06:49.61-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.766272449888003/+0.0115958894054906/\ 5.083122e+010/1/-20/0 params=1/2.4/-1/2.6/0/0/0/0 float=y maxiter=3000 inside=0 logmap=346 periodicity=10 mathtolerance=0.05/1 colors=000K5cK5cK5cK5cK5cK5cK5cK6cK7cK8cK9cLBcLDcL\ FcLHcLJcJIcHHcGFc1Ec2Dc4Cc5Bc7Ac9DZAFTBIOBMJEQKHSL\ KTMMUNPUOSROVNPXJQ_FRbBSe7Tg4TjBUlHVnNWpUXr_YteZi`\ VZWROSODNK3JH6HK9GNBFQEDTGCWJBZLA`O8cR7fT6iW4lY3o`\ 2rb1t`6s_AsZEsYJsXNsWRsVVsU_sTcsSgsRlsQpsPtsOxsMwm\ LvhJucItZGsTFrODqJCpEBp9EoCGoEInGKnJMnLOmNQmPSmSzz\ UzwWzrZzn`wkbmkddhbdf`ecZeaXfZVfXTfVRgSPgQNhNLhLJi\ IHVTmUZaUdRUjFUp4QoBNnHKmNHlTEk_Bjz8iz5hz6fr6dj7be\ 7``8ZV8YR8WN9UI9SEAQ9AO5AN1CO2DO2FP3GP3IQ4JQ4LR5MR\ 5NS5PS6QT6ST7TU7VU8cV8mV8vRBzODzLFzIHzEJzBLz8Nv5Pd\ AKNFG5JC4KE4LG4MI3NK3OL3PN3QP2RR2ST2TU1UW1VY1W_1W`\ 3XY5YW6ZU8ZSA_QB`ODaMFaKGbIIcGKdELdCNeAPf8Qf6Td8Vc\ 9YbA_`Cb_DdZEfYFYVPPSZGPh8Nr9Ft9Fv9KwBPrDUnFZjGchI\ hmKmrLrvNvzPzzzzJSzzUzzzz7Xzzzz7SzzzzDOzzMzzzzMIzz\ FzzzzWBzz9zzzzd5zz3zzzzh8zzzzeCzzEzzzz`JzzLzzzzWPz\ zRzzzzSWzzYzzzzaazzczgzzk } 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=========================================

1 0

FOTD 25-03-09 (Spring Has Sprung [6])
by Jim Muth 25 Mar '09

25 Mar '09

FOTD -- March 25, 2009 (Rating 6) Fractal visionaries and enthusiasts: A couple days ago Ted wrote that there are times when my rating system makes it really hard to believe that the system exists as something coherent and predictable, hopefully unaffected by the weather, my mood, or the stock market fluctuations. There is a good reason why this is so. My rating system is totally arbitrary, not at all coherent and predictable, with no scientific validity at all, and very much affected by my mood at the moment I decide on the rating. The original letter continues: A coherent rating system would mean a system which takes into account a set of different aspects of the rated object, evaluates some of the most signifi- cant, and by combining these values, offers a usable way of placing the rating of the object somewhere between 'Isn't it wonderful!' and 'What a waste!'. If I rated the images like this, it would be too close to doing statistical science to be much fun. I try to avoid doing things in a scientific manner as much as possible. It makes life far too scientific and far too little fun. For example, look at the trouble I have had since 2001 trying to convince hard-core skeptics that a form of precognition does in fact exist. Their devotion to a rational skeptical view forms a mental block that is almost impossible for them to overcome. (If they even wanted to overcome it.) By contrast, by avoiding the rational approach, I can indulge in far more interesting and outlandish ideas such as the possibil- ity that the universe is a fractal being constantly recalculated on God's cosmic computer. There is more to the original letter, and I'll have more to say about it in future FOTD's. Today's image came about when I calculated the Mandeloid formula Z^(2.01)+C at PI levels up the logarithmic ladder. At this transcendental level the parent fractal is a Mandelbrot set that has split apart on the west side and rotated a few degrees clockwise. Today's image is located in an area of chaos between the two split-apart parts of the main bud of the parent. I named the image "Spring Has Sprung". Its quality is about average, thus the rating of a 6. The name came to mind when I noticed the first yellow daffodil of the season in bloom this afternoon. The calculation time of 55 seconds makes calculating the image a pleasure. Equally joyful is the trip to view the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday dawned clear and cold, with a very un-springlike tempera- ture of 19F -7C, but by afternoon the strong sun had warmed it to 48F +9C and the light winds made the day quite pleasant. The fractal cats agreed as they competed for the best spot on the shelf by the sunny window. My day was rather busy. Tomorrow is likely to be even busier. The next FOTD will be posted in 24 hours. Until then, take care, and when will the common man see the benefits of the space program. Or perhaps the question should be, "where are the much hyped benefits of the space program?" Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spring_Has_Sprung { ; time=0:00:55.64-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=-1.242701290941315/+0.0883396256393417/\ 1.217e+007/1/-85/0 params=2.01/0/3.14159265358979/0 maxiter=1500 inside=0 logmap=88 periodicity=10 colors=000Bsq5xx3oi1fW0YI8_MGaQOcUWeXcg`kidskhzmkr\ p_jsOcqC_mFWhHTbJPXLLRNILPEFRB9TDDXEG`FKdGNhHQkFRj\ DRiCRiENeGKaIHZKEVMBSG_XBw`CncDfeEYhEQjFHmG9oG1qL1\ kP1eT1`X1V`1Pd1Kh1El19Z4HL6P88WJ9bTAicBpmCwbQqSckI\ qfKmhLijMelIceFa_C`UldOUmaBuo8jk6_g4Qc2F_05W9C`HJd\ QQiYXmebqf_pgYphVphToiQojOojMoXG`KBM76884B83D92G91\ IC8JFEJIKKLQKOXLRbLUhMXnMSdKNVIILGDBE81DE9KJHQPOXU\ WbZbhQZyP`xPawPcwPdvOeuOguOhtOitLfoIdjFbeC`a9YX6WS\ 3UN0SJ1QO1OS1MX1K`1Ie1GiCLZMQOWUDTOIRINwo`lpWapSRq\ NGqJ5qF6oG6nH7mI7lI7kJ8jK8iL8hLB`ODTQFLTHDVJ6XX7Qi\ 8Jv8CmEDeJDXODPTDGYD8bDEcCJcCPdCUdCZeCdeCifCnfCphM\ qjVslctnlupunmrhjpbhnXelRcjL`hFZfHZZJZSLZLMZET`BZb\ 8dd5je3NchOgcPkZUvZXu__t`btadsbgrcjrdmqeopfrpguohx\ niznjvoisphophlqghrferfaseZtdUfTWdUYbW_`YaZ_cX`eVb\ gTdiRekOMlL3gR9cWE_`KWePSjVOo_Upd_pheqlkqqqruvryip\ vYnsLlp9kmBilDgkVbWPgcImj } 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=========================================

4 3

FOTD 15-03-09 (Waiting for Autumn [4])
by Jim Muth 25 Mar '09

25 Mar '09

FOTD -- March 15, 2008 (Rating 4) Fractal visionaries and enthusiasts: So today's image rates only a 4. What's wrong with a rating of a 4? I could rate it no higher because I put absolutely zero effort into the coloring. All the work was done by the Fractint program, which as today's image almost shows, sometimes creates unexpectedly good colors. The parent fractal was created when I subtracted 2 parts of Z^(-1.2) from 1/2 part of Z^(-5) and added (1/C). This parent is an oversized thing with a huge 'fan'. It is totally beyond verbal description, but may easily be seen by outzooming and turning off the logmap. I think today's scene is located near a larger minibrot in the East Valley area of a still larger mini- brot near the edge of the 'fan' of the parent fractal. Tha name "Waiting for Autumn" makes no sense at all, except for those who live in the Southern Hemisphere. Up here on the 'top' side of the globe, we're waiting for spring. I admit that the calculation time of 6-1/4 minutes is on the slow side, but watching fractals calculate is almost fun. Those not amused by this kind of fun may find satisfaction on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is or soon will be posted for instant gratification. The high temperature of 54F 12C made up for the hazy skies and weak sun here at Fractal Central on Saturday. But Nicholas, the oversized black British Shorthair fractal cat took little notice. He spent most of the day nursing his sore tail, which somehow got caught behind a closing door this morning. Given several extra treats of tuna, both Nicholas and his tail will survive. Cassie, the small blue-cream calico, bristled to twice her size when she heard Nicholas yell when his tail got caught in the door. But she soon deflated, and by evening all was forgotten and forgiven, with two contented cats curled on the living room rug. Except for the cat excitement, my day was average. The next FOTD will be posted in 24 hours. Until then, take care, and it's all relative. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Waiting_for_Autumn { ; time=0:06:15.63-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+3.21769662256/+16.35446828055/141603/1\ /50/0 params=0.5/-5/-2/-1.2/0/0/0/0 float=y maxiter=3400 inside=0 logmap=394 periodicity=10 colors=000IfVJcUK`SLYQMVONTNLSVJRbIQiGPqFPxOYnXfed\ nXemZgk_iiajhclfenegociqbks`mziswdpt_nqVkrPjnRikSi\ hTieUiaViZWiWYiTZiP_iM`iJaiCcmF`XG`_H`aI`dJ`fK`iL`\ kM`m1GJ6FOAFSEFXIE`MEeQEiUEmYIh`LccOZfRUiUPmXKp_Fs\ bAve5yh1xk9xmHwoOwqWwsbrpXnnRjlLfjFbh9Zf3bg4eh4hh4\ ki4ni4kh7ih9ghCehEcgGagJ_gLYgNafQdeShdVkcXob_raaxX\ 1nT8eQEWMLNJRDFY4Cc9AYD9TH8NM7IQ6CU57Y42fW4nw6ks8h\ p9emBbjC_gEXdFUaHRZIOWJLTLIQMFNOCKP9HR6ES3BT5CR7DP\ 8ENAFMBGKDHIEIHGJFIKDJLCLMAMN8OO7PP5RQ3SR2WU6ZXAbZ\ DeaHidLlfOpiSslWvnZbhTJbO0XJ6_HCaFIdENfCTiBZk9dn8i\ p6os5uu3zw2ys4yo5xl7xh8weAwaBvZDvVEuRFuOHtKItHKsDL\ sANr6Or3Pl4Rg5Sb6TY7UT8WO9XJAYEBZHCYJCYMCYOCYRCYTC\ YWCYYCY`CYbCYdCYeGVfKTfNRgRPgVNhYKhaIieGihEjlCjoAf\ qEcsH`uLYwOVxSSyVPzZMzaJzdNz`zzYzzVzzSzzPzzMzzJzzG\ zzDzzAzz7zz4zz7zzAzzCzzFzzI`zKYzNVzQSzSPzVMzYJz_Gz\ bDzeAzgCzeDzcEzaFz`GzZHzX } 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=========================================

6 5

FOTD 24-03-09 (Stinging Jellyfish [N.A.])
by Jim Muth 24 Mar '09

24 Mar '09

FOTD -- March 24, 2009 (Rating N.A.) Fractal visionaries and enthusiasts: I gave today's image no rating because it is not a new image. It is merely a slight modification of an FOTD image that I posted several years ago. I'll leave it to the curious to track down the original image. I occasionally re-use older images when I run into bad luck finding a worthy new one and time is running short. I named the image "Stinging Jellyfish" when I remembered a day on the shore of Chesapeake Bay many years ago, when I leaped into the water and found myself in a bunch of "sea-nettles". Of course, this name has nothing to do with today's image, nor does it have any similarity to the name of the original image. As for the parent fractal, the image is the parent fractal, a Julia set of the Z^(1.11)+C Mandeloid as it appears 111 levels up the logarithmic ladder. With a calculation time of 1-1/4 minutes, the image is a fast one, bringing no grief to those who would rather do it them- selves. Those spoiled by modern conveniences may see the image already finished on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where unimaginable happiness can be found. The crystal blue skies and brilliant sun were diminished by an un-springlike temperature of 36F 2C here at Fractal Central on Monday, with a very un-springlike low of 14F -10C forecast for Monday night. Not bothered by technicalities, the fractal cats enjoyed the sun while it was shining on their window shelf. My day was about average. The next FOTD will be posted (by me) in 24 hours. Until then, take care, and believe the unbelievable. It just might be true. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Stinging_Jellyfish { ; time=0:01:14.62-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=-0.120052/\ -0.119167/1.35/1/-87.5/0 params=1.11/0/111/0/\ -0.041/0.146/0/0 float=y maxiter=256 inside=bof60 logmap=yes periodicity=10 colors=000edddcacbZaaW_`TY_QVZNSYKPXIMWHKVFIUDGTCE\ SACR9AQ78P6zzz00000000000000040M60O80R90T90W90YA0`\ A0cB4eB9hBDjCFmDGoEFrFFtGEwHImIHoJHpKGqKGrKGsKFuJF\ vHEwFEx4aG5ZL6XQ7UU8SZ9QbANgBLlCIpDGujgqzv0zt0zr0z\ pVznWzlYzjZzhUzgPzeKzcAza0z_0zY0zW0zU0zT0zR0zP0INr\ HLsGJuFHvEFxHs4Gq7Go9GmCGlEGjHGhJFfLFeOFcQFaTF_VFZ\ XEX_EVaETdESfEQiEOkDMmDLpDJrDHuDFwJW1IT9HRHGPOGNWF\ KcEIjDGruLIpKNkJSfIXaHaXHfSGkNFpIEu5QZ6P`6Ob7Nc7Ne\ 8Mf8Lh9Lj9KkAJmAInBIpBHrCGsCGuDFvDExaoeZjhWfjTblQZ\ nOUqLQsIMuoQDhVGa`KVeNNjQGpU9uX2z_EybQxe`xhlwkwwno\ shgpc_lZTiTLeODbJ6_EG`HQaJZbLc_KhYJmVIrTIsUPtVWuVb\ vWiwXpwXvoVuhUuaTtVRtOQsHPsKSlMVfPY`R`VUcOWfIZiC`k\ 6Xj9UiCQhFNgIKgLEcG8_B3W76YE8_LAaRG_MMZISYEYW9cV5h\ U1bW3YX5TZ7O_9JaBEbD9cETQHkCJeBL`ANW9PR8QM7SH6UC6V\ BQKBh9LiIViRdj_njhwjpWV`4FM8INCKOGMPJOPNRQRTRVVSYX\ S`aWbf_dkcfpghukjzorh`ySM } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

1 0

FOTD 23-03-09 (Sticky Sickles [6])
by Jim Muth 22 Mar '09

22 Mar '09

FOTD -- March 23, 2009 (Rating 6) Fractal visionaries and enthusiasts: There was no FOTD for March 22 because FL and I took the day off on Saturday to go antiquing. FL found a 'great' victorian lamp shade at a 'great' price and ended the day happy. I ended the day exhausted. Today's image is kind of a bedraggled thing, a little past its prime magnitude and showing its wrinkles. But it's still worth a quick look, especially since it takes only 2 minutes to finish on a SOTA machine. The parent fractal is little more than a grossly oversized network of intertwined filaments, mixed with a few small open areas. Today's image is located near one of the open areas. I had something in mind when I named the image "Sticky Sickles", though I have completely forgotten what I was thinking of. I do see a series of sickle-shaped things surrounding the central minibrot however, so I guess this had something to do with the name. The rating of a 6 is a bit liberal, though not as liberal as you know what. In all honesty I can not claim that the image is any better than merely average. The image is a fast one. Equally fast is the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the already-calculated image is posted in completed form for instant bliss and moderate satisfaction. Too little sun broke through the clouds here at Fractal Central on Sunday to keep the fractal cats happy while we were away. The temperature of 54F 12C was close to normal, but the cats would have preferred more. When we got back around 7pm, the cats were at the door, scolding us for our absence. I'll post the next FOTD in 24 hours. Until then, take care, and how is it possible for people who are clearly wrong to know that they are right? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sticky_Sickles { ; time=0:02:03.06-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.00012589545750500/-0.104475908247942\ 80/2.3209e+013/1/-40/0 params=1/2/-0.4/-0.8/0/0/0/0 float=y maxiter=1200 inside=0 logmap=141 periodicity=10 mathtolerance=0.5/1 colors=000GAKHAMIBOJCQKDSLEUMFWNGYOH_PIaQJcRKeSLgS\ MiSNkSOmSPoNQqKRrPSpURmZPkcNghLdkJelKemMenPfoSfpUf\ qXfr_gsagtdgughvimwlrxovyqzZPzF76ICALHEOMIRRMUWQX`\ U_eYbja`dc_ZdZTfXNgWHiVBjU6kS6lR6lQ6lP6mO6mN6mM6nL\ 6nK6nJ6oI6oH6oG6pF6pE6pD6pKCoRInYNmdTlkZkqcjoefmfc\ kg`ihYgiUejRckOalL_mHYnEWoBVp8`n6el4jj2gh5df8beB_c\ EXbHV`KSZNPYQNWTKVWHTZFS`EUZDWYCXXCZWB`VAaUAcT9dS8\ fR8hQ7iP6kO6lN8kP9kQAkRBjSDjTEjUFiVGiWIiXJhYKhZLh_\ Mh`LfYKdVJcSIaPI_NHZKGXHFVEFUCJVBNWBQXBUYBXYBWXDWX\ EVXFVXGVXHUWJUWKTWLTWMTWNSVPSVQRVRRVSRVTSSRTQQUOPV\ MNWKMXILYGKZEI_CH`AGa8Fb6Dc4Cd2Bd0AiE8nS6se4wr2vo6\ um9tkCsiFrgIqeLpcOo`RnZUmXXlV_kTbjReiPhhNkjPjkRjlS\ imUinVipXhqZhr_gsagtbgvdfwffxgeyzezzevzgszipzjmzlj\ zmgzodzpazrZzsWzuTzvXzs_zqbznezlhzjkzgnzeqzbtz`wzZ\ szWpzUmzRjzPgzNdzKazIZzGXzTWzeVzdUzdTzdTzcSzcRzcRz\ cOzbMzaKz`Iz`KzZMzYOzX9zP } 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=========================================

1 0

FOTD 21-03-09 (End of the Spike [5])
by Jim Muth 20 Mar '09

20 Mar '09

FOTD -- March 21, 2009 (Rating 5) Fractal visionaries and enthusiasts: Be warned! There will be no FOTD for March 22. I promised FL we would go on an antiquing expedition on Saturday, and there is no way to get out of it. (Besides, I kind of enjoy browsing through the stuff [they call it collectibles] other people threw out.) The next FOTD will be posted on March 23. In today's image we return to the most famous of all fractals, the Mandelbrot set, where we focus our interest on a tiny mini- brot near the tip of the main spike. Today's scene lies on a filament extending from the large bud on the northwest shore line of the main bay of the tiny minibrot. There's not much more to be said about the image, which rates only an average 5 because of its excess familiarity. The name "End of the Spike" is a misnomer, since the spike has no real end. The minibrots on it keep growing smaller as the limit of 2 is approached, but never come to an end. The calculation time of the image is 3-3/4 minutes. Most of this time is due to the magnitude, which makes arbitrary preci- sion math necessary. But why fiddle with calculating when the completed image is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was a bit chilly for the first day of spring here at Fractal Central on Friday. The temperature of 41F 5C and brisk north wind made it feel more like early February. The fractal cats soon grew disgusted with the continued coming and going of the sun, and instead of waiting for the last cloud to blow by, decided to worry us for an extra treat of tuna. needless to say, their persistence was rewarded. My day was moderately busy. With the antiquing trip coming up, there will be no FOTD for March 22. The next one will be for March 23. Until then, take care, and be skeptical of the things skeptics don't believe in. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= End_of_the_Spike { ; time=0:03:47.14-SF5 on P4-2000 reset=2004 type=mandel passes=t center-mag=-1.94142793652340829363/6.7334784052237\ 1681e-4/6.335316e+016/1/-157.5/0 params=0/0 float=y maxiter=2750 inside=0 logmap=284 periodicity=10 colors=000KFczz6zw3zoLzoNzmPzlRzgTziVviXriWmiVhiVc\ hUZgUUg`Zggggmqgtn`mvZhrRSmUQhWOcYNZ`LUbJPdIKgGIiE\ LkDNnBPp9Rr8TSH02Q07O0BM0GKTKITOGTTETXCT`ATe8Ti6Tm\ 4SlDSkLRiTRh`RghNfkKrzHozElzBiz8fzCezFczDazB`z9`z7\ Zx5Xu3Vw1Uy3Uw4Wv5Xu6Zs7`r8aq9boAbnBcmCdkDdjEeiFeh\ 95X95V85S85Q75N75L75J8LsqBKeSQVhWVmNVrFXpFZoF_mFal\ FbjFdiFfgFgfFidFjcFiaDi_CiZAhX9hW7hU6hT5eW8bZA_aDX\ dFUgIRiKOmNLqPIuSFyUCzX9zZExYJqXOiXSbWXWVaOVfIUjCU\ _ORQ_OFkL5wI8tKBqLEoNHlOJiQMgRPdTSbUU_WXXX_VZbS_dQ\ `_TcWWeSZgOaiJclFfnBip7lr3nt5dp6Wm7Mj8DgCBbF9YJ8TM\ 6OP5JLEKHNKDVL9cL5lM2tM5rN7qO9pOBoPEnQGmQIlRKkRNjS\ PiTRhTTgUVfUTcRSaOR_LQYJTZMWZPoedkgagiZdjX`lUXmRUo\ PQpzMrzJszMtzPuzSvzUwzzxKzyKzzLzzLzzLzzMzzMzzNzzNz\ zOzzOmzzmzzmzzmzzzzszzpzzmzzjzzgzzdzzbzzFzzGzzIzzJ\ zzKzzLzzNzzOzzPzzQzzQzzQzzQzzQzzQzzQzzQzzQGzQCzQ8z\ Q5zQ6zN6zL6zI6zG6zD6zB6z8 } END PARAMETER FILE=========================================

1 0

Wrong formula in March 19 par file
by Jim Muth 20 Mar '09

20 Mar '09

Fractal fans: I put the wrong formula in the parameter file for the March 19 FOTD. Mistakes will happen especially in times of rush. I have included my basic.frm formula file, which contains most of the formulas I use for the FOTD images. Copy this formula file into your Fractint directory in text format with a .frm extension. If I put any more wrong formulas in the paramater file, the program will automatically go to the right formula. ========================================================= 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 } 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 } DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } DivideBrot6 { ; Jim Muth z=(0,0), c=pixel, a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } DivideBrot5Julia { ; Jim Muth z=pixel, c=(p2), a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } DivideBrot6Julia { ; Jim Muth z=pixel, c=(p3), a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } 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 } 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 } SliceJulibrot4 {; draws most 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } 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), .0000000000000000000000000000005 <= |h| } =================================================

2 1

FOTD 20-03-09 (Looping Bridges [In Doubt])
by Jim Muth 20 Mar '09

20 Mar '09

FOTD -- March 20, 2009 (Rating in Doubt) Fractal visionaries and enthusiasts: Today's strange image is a scene in an almost-Julia set of the northeast shore line of the main bay of the Mandelbrot set. It is not part of a Julia set, nor is it part of a perturbed Mandelbrot set. It is an oblique slice through the Z^2+C Julibrot figure oriented within a degree or so of the Julia direction. The straight bright bar across the lower part of the scene is what I call a bridge. It appears straight because regardless of where Z is initialized in a perturbed M-set, the points will always settle into the same orbits unless they escape first. I had no idea how to rate such an image, so I left the rating in doubt. The name "Looping Bridges" describes the many loops and spirals dancing around the bridge. The calculation time of 2 minutes is thankfully fast, though the trip to see the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> could be even faster. A cloudy start gave way to a partly cloudy afternoon here at Fractal Central on Thursday. The fractal cats enjoyed the times when the sun was shining and made the best of things when it was not. The temperature hovered around 52F 11C most all afternoon. My day continued busy. The next FOTD will be posted in about 24 hours. Until then, take care, and look for light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Looping_Bridges { ; time=0:02:08.44-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=t maxiter=18000 center-mag=0.00665081/0.170958/3.138989/1/-90/0 params=90/90.07/92.48/89.01/0.2438/0.5139/-0.0081/\ 0.5024/2/0 float=y inside=0 logmap=-3 periodicity=9 colors=000jRhh0efVbd0_bYX`AVZaSXKPVdMTKKRgHPKENkBK\ N4Ml9OMDQcHRLLTWQVKUXVYW0cYQaZ0`_NZ`0YaNXb0VcNUe0S\ fURg0QhVOi0NjSMk0KmTJn0HoVGphlqijrnCsXBtYDtYEzzFtz\ GtzHtZJtZKCzxCzxCzxDzxDzxDzxDzxEzxEzxEzxEzxFzxFzxF\ zxFzxGzwGzwGzwGzwHzwHzwHzwHzwIzwIzwIzwIzwJzwJzwJzw\ JzwKzwKzwKzwKzwLzxLzxLzxLzvMzxMzxMzxMzxNzxNzxNzyNz\ yOzyOzyOzyOzyPzyPzyPzyPzyQzyQzyQzyRzyRzyRzyRzzSzzS\ zzSzzSzzTzzTzzTzzTzzUzzUzzUzzUzzVzzVzzVzzVzzWzzWzz\ WzzWzzXzzXzzXzzXzzYzzYzzYzzYzzZzzZzzZzzZzz_zz_zz_z\ z_zz`zz`zz`zz`zzazzazzazzazzbzzbzzbzzbzzczzczzczzc\ zzdzzdzzdzzezzezzezzezzfzzfzzfzzfzzgzzgzzgzzgzzhzz\ hzzhzzhzzizzizzizzizzjzzjzzjzzjzzkzzkzzkzzkzzlzzlz\ zlzzlzzmzzmzzmzzmzznzznzznzznzzozzozzozzozzpzzpzzp\ zzpzzqzzqzzqzzqzzXzzXzzXzzYzzYzzYzzYzzYzzYzzYzzYzz\ YzzYzzYzzYzzYzzYzzZzzZzzZzzZzzZzzZzzZzzZzzZzzZzzZz\ zZzzZzz_zz_zz_zz_zz_zz_zz } frm:SliceJulibrot4 {; draws most 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

1 0

FOTD 19-03-09 (Seahorse-Plus [8])
by Jim Muth 19 Mar '09

19 Mar '09

FOTD -- March 19, 2009 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a view of the very well-known Julia set of Seahorse Valley of the Mandelbrot set. For some reason however it doesn't look like that Julia set. The weirdness arises because the Mandelbrot set is an augmented one, with much extra stuff surrounding it. So it should be no surprise that the Julia set of its Seahorse Valley has all this extra stuff around it. The expected Julia set actually lies at the center of the image, though it is somewhat obscured by all the extra detail filling it. The image was rendered with the outside set to 'imag' and the inside set to the color 255. Setting the outside to 'atan' also gives a pretty good image. I named the image "Seahorse-Plus" and rated it at an 8. The calculation time of 9-1/4 minutes is a bit slower than ideal, but may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday began with fog and murky low overcast here at Fractal Central, but by 10am the sky quickly cleared, leading to a most spectacular sunny afternoon, with a temperature of 68F 20C and gentle south breezes. Needless to say, the fractal cats purred their satisfaction with the conditions. My day was too busy to allow as much enjoyment of the conditions as I would have liked. The work will be slower tomorrow, but the weather will likely be much less pleasant. The next FOTD will be posted in 24 hours. Until then, take care, and why are so many simple questions unanswerable? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse-Plus { ; time=0:09:14.05-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot6Julia center-mag=0/0/0.2993 params=-32/36/1e-016/0/-0.75007/0.007 float=y maxiter=5000 inside=255 outside=imag symmetry=origin periodicity=10 colors=0008Xz9WxAVuAUsBTqCSoCRmDQkEPiEOhFNfGMcGLaH\ KZHJYIIVJHLJGIKELLCOLAMM8KN6IN4GO3EO2CQ3AS48U59W6B\ X7CZ8D`9FbAGdBHeCIgDKiELkFMmGOnHPpIQrJStKTvLUxNUwM\ VwMWvMWvMXuLXuLYtLYtLZsKZsK_rK_rK`qJaqJapJbpJboIco\ IcnIdnIdmHemHemHflHglGgkGhkGhjGijFiiFjiFjhFkhEkgEl\ gEmfEmfDneDneDodDodCpcCpcCqaDxbCtcCqdCneCkfBhgBegB\ bhB_iBXjAUkARlAOmALmAInCJlDKnELfGMgHNiIOcJPbJQcFRd\ 8SdETiBUiHVnDWnCXoFYoHZoJ_oL`oOaoQboScoUdoXeoZfo`g\ obhoeiogjoiknmjomkolkokkokkpjkpikphkphkpgkqfkqekqe\ kqdkqckrbkrbkrakr`lr`ls_lsZlsYlsYlsXltWltVltVltUlu\ TluSluSluRluQlvPlvPlvOmvNmvNmwMmwLmwKmwKmwJmxImxHm\ xHmxGmxFmyEmyEmyDmyCmyCmxHixLfxQbwU_wZWwbTuYPsUMqQ\ JoLFmHCkD9nHEqLJtPOvSSmYOebKXhGPmCLnJInPFoVBo`8pf5\ pl2prBfgKXXTNMaDBi41dA4`G7XMATSDPYGLcJHiMDoOYYUqG_\ oGamFdkFfiEhgEjeDmcCoaCq_BtYBvWAxVAzWHnXObYURZ`FZf\ 3Zg8ZgCZhH9Hr9Kq9Op9Rp9Uo } frm:DivideBrot5Julia { ; Jim Muth z=pixel, c=(p2), a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

2 1

FOTD 18-03-09 (The Warm Fuzzies [7.5])
by Jim Muth 17 Mar '09

17 Mar '09

FOTD -- March 18, 2009 (Rating 7.5) Fractal visionaries and enthusiasts: Warm fuzzy feelings are what one gets when they go to a benefit concert to help the victims of some disaster, where the produc- ers get a bundle of money, the attendees hear some acceptable music and the victims get little or nothing. Today's image has a kind of warm-fuzzy feeling about it. This was all the reason I needed to name it "The Warm Fuzzies". The rating of a 7.5 includes a 1/2 point bonus for my semi-expert coloring. (The fuzzy appearance was not all that easy to bring about.) The parent fractal is a Mandelbrot set surrounded by superfluous rings of fractal stuff, which increase in number as the set is approached. Today's scene is found in one of these rings in the north branch of Seahorse Valley of the parent. The tiny value of the real(p2) parameter is very critical. The bailout radius of 4, set by the imag(p2) parameter of -12, is also critical. The calculation will take all of 30 seconds on a SOTA computer. On an older unit it will take only a couple minutes. But all calculating cares may be dispensed with by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Lots of warm sun, a temperature of 59F 15C and a gentle south wind made the fractal cats very happy here at Fractal Central on Tuesday. Work that was well under control made me very happy. FL was happy because I agreed that we would go antiquing this Saturday as long as we avoid places selling the non-antique, phony-country, warm-fuzzy, feel-good stuff known as 'primitives'. The next FOTD will be posted in 24 hours, which should keep the fractal fans happy. Until then, take care, laugh often, live long, and eat hearty. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Warm_Fuzzies { ; time=0:00:30.43-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot6 center-mag=-0.769024762174\ 031/+0.1886307303294928/1.397934e+008/1/152.5/0 params=-63/67/1e-018/-12 float=y maxiter=1500 inside=0 outside=summ logmap=49 periodicity=10 colors=000NsrqtrruttwvuxwvtsvppwllwiiweexabxYZzVWm\ OXbIRSCII6QGA0EVTCfSTTLiFFz19w68uB7rG6pL5mQ4kV3h_2\ fm1gZ2hU3zc4jL5kG6lC6dIHXOSQTaIZlBcvHdpNdkTdfZd`dd\ WidRceTZeVUeWPeYKe_Fe`Aeb5ecDfZKfURgPYgKdhFkhBefF_\ dIVbLPaOJ_SEYV8WY3V`7SZAPYDMWGJVJGTMDSPAQS7PRDVQJ`\ POeOUkN_qNdvXTrfHno5kpDmqLorTqs`sshuUdgScVQbJPa7Rc\ 5Se3Tf1Sg5Sh8bBYlASv9MrDJnGGkJEgMBcP8`S6aZ5be5ck4d\ r4dx4_r5Vm6Qh6Lc7HZ7LbAOfCSjEVnGZrJavLezNhzPMbqPnh\ Sy_RvVRsRRpNRmJRjERgARd6Rb2PTJNJ_MAoVCqcEslGuuHvvT\ jvc_voPvzEqqDlhDg`DbSDYKDaLHdMLhNPkOTzzXzz`zzczzfz\ zizzlzz`zzazzbzzczzczzdzzezzezzfzzgzzgzzhzzizzizzj\ zzkzzazzbzzczzczzdzzezzezzfzzfzzgBzhAzh9zizzjzzjzz\ kzzazzYzzVzzSzzOzzLzzIzzMzzPzzSKzVKzYKz`JzcJzfJziJ\ zl`zTrzAlzKfzT`zbVzkPztQzgRzVSzISz5KzECzN5zVnzGlzR\ kz`izjhztKzhJzmIzqHzuHzyGzxGzxGzxGzxGzxFzxFzxFzxFz\ xFzxEzxEzxEzxEzxEzxHzvKzt } frm:DivideBrot6 { ; Jim Muth z=(0,0), c=pixel, a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } END PARAMETER FILE=========================================

1 0