June 2007 - Fractint - mailman.xmission.com

FOTD 15-06-07 (Fantasy Filaments [4])
by Jim Muth 15 Jun '07

15 Jun '07

FOTD -- June 15, 2007 (Rating 4) Fractal visionaries and enthusiasts: Today we calculate the Z^(1.5)+C Mandeloid 95 levels down the logarithmic ladder and check the resulting fractal in the area of one of the minor buds on the northeast shoreline of what passes for a main bay. We soon find a midget lurking in the vicinity. The midget has little to recommend it, being little more than an irregular hole surrounded by zig-zagging bits and pieces of filaments. But we need a fractal in a hurry, so we volunteer the midget to step forward and accept the honor of being declared FOTD for June 15. The midget grudgingly accepts. Since the filaments are the most striking features of the image, I named it "Fantasy Filaments" and decided on a rating of a 4. A fractal that is found almost automatically can hardly be considered above average. Perhaps the best feature of the image is its speed. It calculates in just one minute on the P2000 machine. It would take around 6 minutes on the P200. The pre-calculated GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy morning here at Fractal Central on Thursday was followed by a partly sunny afternoon with a high temperature of 68F 20C. For me a rushed morning was followed by an afternoon only slightly less rushed. The fractal cats managed to stay inconspicuous during most of the day. The next FOTD will hopefully appear in 24 hours. Until then, take care, and remember that the best is always yet to come. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fantasy_Filaments { ; time=0:01:09.05-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=+0.21651796350606610/+0.249124595095299\ 90/5200.166/1/-57.5/-7.452637118543e-011 logmap=113 params=1.5/0/-95/0 float=y maxiter=7500 inside=0 colors=000LJJLIKKHKKHLJGMJFNKEOJFNJFNJFNJFNJFNJFNJ\ GNJGNJGNJGNJGMJGMJGMJHMJHMJHMJHMJHMJHMKFKJHMJJNJLP\ JNQJPSJRTJTUJVWJXXJZZJ__JaaJcbJecJgeJifJkhJmiJokJq\ lJrmIslHslHskGskFskFtjEtjDtiDtiCtiBuhBuhAug9vg8vg9\ ugAseAqcBoaCm_CkYDiWDgUEeSFcQFaOG_MGYKHWIIUGISEJQC\ JOAKM8LK6LI4MG2MD0LC1KA2KA3JB4IB5IC6HD6HE7GE8FF9FG\ AEHBEHBDICCJDCKEBLFALGAMH9NH9OI8OJ7PK7QL6RM6RM8QO9\ PQAOSCNUDMWELYFK_HJaIJcJIeLHgMGiNFkOEmQDoRCqSBsTBu\ VAuXAtY9t_9ta9tc8td8tf7th7sj7sk6sm6so5sq5sr5so6tm6\ tk6th6tf7ud7ua7u_7uY7ucAtiCtoEthHrbKpWPnQUlJZjDch7\ hgCmbGrZLwUPzQTzMSwNSsORpPRlQQiRQdSPcTPcUScTUcSWcR\ YcQ`cPbcOdcNfcNicMkcLmcKocJrcItcHvcGxcGvcHtcHueHvg\ IwiIxkIymJzoJzqJzsKzuKzwKzxLzyLzzLzzMzzMzzMzzMzzLz\ zLzzLzzLzzKzzKzzKzzKzzJzzJzzJvzJrzKmzLhzMczNZzOUzP\ UzQUzRUzSUzTUzMUzTUzZUzdUzcUzbUzaUzaUz`Uz_UzZUzZUz\ YUzXUzXUzWUzVUzUUzGUzHUzI } 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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Re: UltraFractal?
by jackoftradez＠comcast.net 15 Jun '07

15 Jun '07

. I know this is a fractint forum but also some people use ultrafractal. I recently purchased the current "animation" version with the hopes I could re-do some of my animations in 32 bit color, perhaps even faster since it would run in 32 bit windows and take full advantage of current hardware and software. With some tweaking, I can get it to read basic mandelbrot and julia fractint par files. However, rendering time is much SLOWER for a given image (especially deep ones) using UF on a P4-3GHz system, than it is for fractint on a P3-733 ! Anyone have a clue as to why this is and I just wasted $129 ?! . JoTz .

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FOTD 14-06-07 (The Sea of Flames [4])
by Jim Muth 14 Jun '07

14 Jun '07

FOTD -- June 14, 2007 (Rating 4) Fractal visionaries and enthusiasts: Due to technical difficulties, today's discussion is short. The image is yet another scene in the parent fractal that produced the 'Fractal Ringers' image of 6 days ago. This time I chose to examine the area around the negative X-axis. Most of the excitement is created by the 'fmod' inside fill. This was needed because everything in the image but the green elements is part of the 'inside' of the fractal. The rating of a 4 is below average, but what the heck, a 4-rated image is better than none at all. The name "The Sea of Flames" is total whimsy. The image takes 1-1/2 minutes to finish on the P2000. On the P200 it would take around 7 minutes. But on the FOTD web site the image has already been calculated, and is ready for near instant viewing. The FOTD web site can be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another whopper of a thunder-storm hit Fractal Central at 3pm Wednesday. This time it caused a 3-hour power outage, which put me behind in the commercial work, forcing me to cut corners on today's FOTD. The fractal cats were not bothered by the lack of power, since it happened in the middle of the day and did not affect their evening treats. If all goes well, the next FOTD will appear in 24 hours. Until then, take care, and have faith that all will go well. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Sea_of_Flames { ; time=0:01:26.68-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.14472952948525470/+0.000057982931366\ 69/2761885/1/160/-6.12500657276582317e-008 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=1500 inside=fmod proximity=0.0085 periodicity=10 colors=000NhYSqR2ggAeeHccgO7gVDgaKghQUZTHQV4HXUcJr\ z5nuAjqEfmIbiNZeRWaVVVRUPNTJKSCGR6CQ09N2EK4JH6OE8S\ BAX8Ca5EeHIaSLZcOVnRSyUPe_cMdrQhtUkuYnvaqwetx_X5X`\ 6Uc7Rf8Pi8Ml9JoAGrBEuBDnEDhHCbKCWMBQPBKSBEUTXGio2c\ q3Rs7Yr4St5kTxtL1hY3Yi5V079LTEYLJiDh_7Yj6uAScYHaDd\ h2zYUY9pbGsMYprUraQtM5AuSQSzVTfhHCciGiWKoJ`yBUw83y\ UAwMHvEx_IfmT_pLTsDBZYEdRHjKKpDECsHSbKfMpkjUVoSacQ\ hTOoHkMIZcC5NyEdYtIqkSecaUVkI7bIFlCLMGUVzSakQhYOoK\ KpNdiS_lMWoHRrBXqFUrCSsAPt8Q9SPMMOYHNiBTJDRTBQb9Ol\ 7ttMkuIcuEVuAqOLf_GXjBRLXPYOOiFLokMrRuYsiebYmM7aLF\ kDwPSuXJlcFciCVo9LNAMW9Md8Nm7o76gK6`X6Ui6cqmYsZStK\ YUMkDtVRuTZhRfWPnJpLzhVkacYUlKIY55vm7htBlgFoVJrIsN\ ajWUbdMVmENFcvEqjTaZgMRlLQoHPqDOs9YMgTcYQlK1coOu6N\ u6IMILcC6P59R8CTBFVFIXILYLSUOYRQcNTiKVoGYuD_nHYhLW\ aPVWTTPXRJ`QMcQPfQShQW_NZRKbJHeAEh2BeCIbMP_WWYdbUY\ gRRlNKqKEvBBx000cI0mKKmaZ } 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 13-06-07 (Statutory Fractal [9.5])
by Jim Muth 13 Jun '07

13 Jun '07

FOTD -- June 13, 2007 (Rating 9.5) Fractal visionaries and enthusiasts: Today's FOTD image rates a 9.5, and I think it's worth it. The calculation time of a lightning-fast 16 seconds only adds to the value. The parent fractal is again the same one that produced the 'Fractal Ringers' FOTD image of 5 days ago, but this time, instead of investigating new valleys, we check a bit of cut-off debris lying to the north of the main body of the fractal. Since the entire area is disconnected, the pattern around any midgets in the area will be disconnected also, as is indeed the case in today's image. But the coloring in the low registers, which I did manually, is what makes the image worth its glorious rating of 9.5, so I decided to reward myself. But I can give no logical reason for naming the image "Statutory Fractal". The phrase simply came to mind when I began searching for a name. And fractals are not necessarily logical anyway, so the name stuck. With a calculation time of only 16 seconds and a 9.5-rated image waiting to be seen, there is no excuse for missing this one, especially when the calculation can be totally eliminated by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the completed image there. The Tuesday weather here at Fractal Central was absolutely perfect, at least for those who enjoy storm clouds. Partly cloudy skies with billowing clouds during midday grew into a whopper of a thunder-storm at 6:30pm, flooding the street in front of F.C., scattering the lawn furniture, covering the ground with hail, and sending the fractal cats scurrying for cover. They re-appeared for their evening treat when the noise died down. Except for the excitement of the storm, my day was notably average. The next FOTD may not be quite as good as today's, but it will appear almost by magic in 24 hours. Until then, take care, and look for the silver lining in all dark fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Statutory_Fractal { ; time=0:00:16.41-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.63404111668161520/+0.516679061861279\ 70/1.449466e+010/1/120/-0.00299912377108243339 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=300 inside=0 logmap=44 periodicity=10 colors=00000000033566899BCCEFFHIILKKMMMOOOPQQSSSUU\ UXWW_aZcgfgzqczzzkrmjmjfhgbddW_aQVZJQWDPUFKKCFAAA0\ CA09A0CKAEOKHUUGYbFa_FgYEkVEqTKuQUyOcyNmyNwyNzyNzz\ MzzMzyMzyMmtIcpEUlARh7TlGVoPXrYZuf_xoVnoQeoLXoGOoF\ SjFVeFY`F`WFdRFgMFjHFmCDnDBnEAnF8nG6nH5nHCjGIgFOdE\ UaE`ZDfWClTBrQBsUHtYMuaRveXwiaxmfyqkzlizhgzdez`czW\ azS_zOYzKXzFSzBNz7Iz3DzNMzfVzyczwYzuSzsMzrHzsIztJz\ uJzmUzfdzdczbbz`azZ`zX_zV_zOZzIYzCXzBZzB`zBbzBdzBf\ zBgzSNzg3ze6zc8zaAz_CzYEzcBzh8zm6zn8zoAzoCzpEzqGzq\ IzrKzrMzZPzGSzIPzLMzOIzRFzTCzYJzbQzgXzlczqjzvqzzxz\ wsztozqjznfzkazhYzeUzXWzOYzGZzedz`_zXVzTRzOMzKHzGD\ zNFzUGz_IzfJzlKzmJznJzoJzpJzqJzrJzsJztJzuPzvUzwZzx\ IzyJzzKzzLzzMzzNzzOzzPzzPzzKzzGzzBzz7zzGzzOzzXzzdz\ zmzzuzzizz_zzQzz0zz`zzRzzLzzUzzQzzNzzKzzgzzZzzQzzX\ zzPzzizz_zzQzzRzzfzz6zzRzzMzzIzzWzzjzzxzzszznzzizz\ dzz_zzWzzUzzSzzRzzPzzNzzM } 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 12-06-07 (Passed the Test [6])
by Jim Muth 12 Jun '07

12 Jun '07

FOTD -- June 12, 2007 (Rating 6) Fractal visionaries and enthusiasts: With today's image we return to the parent fractal that held the 'Fractal Ringers' image of 4 days ago. In fact, we return to the same general area that held the previous scene. This time we check the larger valley just to the north of the tiny valley that comes from and goes nowhere. I named today's image "Passed the Test". I have totally forgotten why I gave it this name, but it really doesn't matter. The viewer can invent a connection between image and name. The rating of a 6 seems appropriate, considering that I did put near a half-hour into tweaking the coloring and trying different inside fills. It turned out that the 'bof61' inside fill works best -- it usually does. The included parameter file takes 2-1/2 minutes on the P2000 computer and 12 minutes on the P200. (The P2000 is only 5 times as fast with Fractint as the P200.) I might check to see how fast Fractint runs on an older P3 unit. I hear that those CPU's were faster with 16-bit applications. Of course, all this concern about calculating speed can be forgotten if the completed image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Absolutely perfect weather prevailed once again here at Fractal Central on Monday, with blue skies, billowing white clouds and a temperature of 82F 28C. At 7pm a lonely little sunshine shower passed over, doing more good than harm as it settled the dust. The work was a bit too heavy for me to enjoy the perfection however, but the fractal cats made the most of it. If all goes as planned, tomorrow will be another perfect day. The next FOTD will appear in 24 hours. It's a good one, so don't miss it. It's a real 9.5-rated image. In the meantime, take care, and don't dare. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Passed_the_Test { ; time=0:02:29.53-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.30805561394594060/+0.250271135064664\ 20/2.844387e+007/1/-10/2.29212404517786794e-006 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=1600 inside=bof61 logmap=124 periodicity=10 colors=000NDKMFMMHNMJPLLRLNTLPUKRWKTYKV_KW`MZcNafO\ diQglRjoSmrTouVktXgsZcr``qbXpdTofPnhMmjIllEknBkNuX\ QtUSsSVsQX0O_rMaqKdqIfpGioEkoCnnApn8sm6um4rj5pg6md\ 7ka8h_9fXAcUBaRCZODXMEUJFSGGPDHNBHQCISCIVDJXDJ_DKa\ EKcEKfELhFLkFMmFMpGNrGNtGNtFLtFJtFH0EFtEDtEBtD9tD7\ tD5tC3tC1tC0tB3tB5tA7tA9t9Ct9Et8Gt8It7Lt7Nt6Pt6Rt5\ Ut5Wt4Yt4_p6cl7gi9keAobCsZDwWEzVHwVKtVMqUPnUSkUUhT\ XeT_bTa_WYaZVb`SdcPefMghJhkGjnDkpAms7nv4px1qE3II2N\ M2SQ1WU1`Y1dZ2e_3f`3fa4gb5hc5hd6ie6if7jg8kh8ki9li9\ lIL1HM3HM5HM7GM9GMBGMDGMFFNGFNIFNKFNMENOENQENSENTM\ MWULZ`LaeR`iX`mb_qh_um_slZrlYqlXplWokVnkUmkUlkTkjS\ jjRijQhjPgjPlgUpdZtabn`Zh_WbZTYYQZWOZVN_UL_TK`RI`Q\ HaPFaOEaMCbLBbK9cJ8cH6dG5dF3dE2cF4bG5bG6aH7aH8`I9`\ IA_JC_JDZKEZKFYLGYLHXMIXMJZOO_PTaQYbSbdTgeUlfVpfXp\ fZpf`pgXogTogPogLngHngDng9mg5mg2maAgXHaRPWMWQGcKBj\ EChGDfHEeJO3BO5DO7FN9GNBI } 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 11-06-07 (Into the Valley [6])
by Jim Muth 11 Jun '07

11 Jun '07

FOTD -- June 11, 2007 (Rating 6) Fractal visionaries and enthusiasts: All right, I admit it. I had a lazy day on Sunday. I took the easiest route available to fractal satisfaction -- I decided to go back to basics and examine the Mandelbrot set, a fractal guaranteed to be filled with good fractal scenery that can be found with a minimum of effort. With today's image, we remain in East Valley, the same place we visited in yesterday's odd-angle image, and examine it in the familiar Mandelbrot direction. We decide to check an elephant- trunk spiral. To keep things from slowing down, we don't wander too deeply into the valley or into the spiral. And there we find today's scene. It took me only a few minutes to fine-tune the colors enough to bring the image up to FOTD quality. I named the image "Into the Valley" for obvious reasons. I rated it at a 6 to reward myself for the modicum of effort I put into the coloring. The calculation time of just under 2 seconds on the P2000 is one of the briefest in FOTD history. On the P200 the image would take about 10 seconds to finish. But instead or worrying about such trivialities, why not visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the already-calculated image there? Perfectly lovely weather graced New Fractal Central on Sunday. The deep blue sky, puffy white cumulus clouds, gentle winds, low humidity and temperature of 81F 27C could hardly be bettered. The new fractal cats' behavior could easily have been bettered however. In the middle of the afternoon, I had just started making a tuna sandwich when the phone rang in the next room. The call was from my sister, who is now living at Old Fractal Central with the old fractal cats, Thomas and Tippy. By the time we finished talking, the new fractal cats had discovered and finished the can of tuna I had left open on the counter. After giving them a sound scolding, I settled for a jumbo hot dog. Needless to say, after such wicked behavior, they had no evening treat of tuna. The rest of the day was peaceful. The next FOTD, which might be better or might be worse, will appear in 24 hours. Until then, take care, and wait with bated breath for the ultimate sunrise. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Into_the_Valley { ; time=0:00:01.98-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.30083214901746320/-0.020400697901445\ 98/1.412729e+010/1/-149/1.79467352839912664e-007 params=0/0 float=y maxiter=2400 inside=0 logmap=258 periodicity=10 colors=000wfwwewwdwvcwubwtawt`ws`ws_wsZwrYwrXvqXvq\ XvqXvpXvpWvoWvoVvnUunUunTumSumSulSulSulSunRsoRrpRq\ rSpsSouSnwTmxTlyTkzRlzUmzWmzWnzVnzToxQpwNpmLqbIhUF\ cNKQAOCCRDDTEFUFGVGIWHJXHKYIMZJN_KPaLQcLReMTgNUiOW\ kPXmQYoQ_qR`rSctTevUgwUiwVjwVkxWnxWpxXrxXuyYwyYvzZ\ uzZsy_qw_ouZmrYlnXkkWjgWidVh`UhYThUThRShNRhKQhGQhD\ Ph9Oh6Nh3Nf4Md4Lb4K`4JZ4IX5IV5HT5GR5FP5EN5EP8IRBLS\ EOUHRVKUXNXZQ__TbaWebYh__fYad`e_chWfkShoNkrJnuFpxB\ mrGjlKgfOdaSaWXZQ`WKdUFhWDdYB`_9Xa8Tc6Pe4Lg2Hh1Df5\ Ie8McBQbFU`IY_LaZPfXSjWVnUZrTavSdzWbwZ`taZqdXngVkk\ ThnReqPbtN_wLXzKUsJSlJQeJP_JNTJLMJKFJI9JHCIJFHLIGN\ KFPNERQDSTCUVBWYAY`9_b8`ZGXWNTTUPQaLNcHKeDKgAMiCOk\ EQmGSoIUqKWsMYuO_wQaxScyUezWgzYiz_kzamzcozaqz`sz_u\ zZzzXxzWyzVzzUzzTzzRzzQzzPzzOzzNzzMzzLzzLzzKzzJzzJ\ zzIzzHzzHzzGzzFzzFzzLzzEzzLzzhzzgzzfzzfzzezzdzzdzz\ czzczzbzzazzazzYzzbzzfzzk } END PARAMETER FILE=========================================

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Re: ultrafractal
by jackoftradez＠comcast.net 10 Jun '07

10 Jun '07

. Thanx everyone for the replys and suggestions; I will be investigating them but it will take time to work it all out. I'm sorry I was not aware of the apparent emotional "antagonism" between the two communities; I hope I haven't opened up a pandoras box here. I humbly vow never to bring it up again in this forum! More on track now, I have long been intrigued by the Julia rectangle. I actually did a modification of it a couple years ago, recently updated. It is the "bad trip" viddie on my site. And I just posted a simple zoom-in to Jim Muth's recent FOTD -- May 29, 2007 if anyone's interested. Short but cool. WMV, 640x480, 26 sec. 4.4 Meg http://www.fractal-animation.net/vid/outerdarkness.zip What is so special about the number 2.003 ? Is there some cosmic chaos significance? Will you get rectangles for exponent 2.0031, 2.004, 2.003001, etc. ?? Just another thing I need to investigate.... Stay amazed! JoTz .

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FOTD 10-06-07 (Where are the Elephants? [3])
by Jim Muth 10 Jun '07

10 Jun '07

FOTD -- June 10, 2007 (Rating 3) Fractal visionaries and enthusiasts: Today's image was found almost without effort, and therefore rates a lowly 3. It shows a scene in Elephant Valley, but there are no elephants to be seen anywhere in the image. The elephants are present sure enough, but they lie at a different orientation, and are totally unrecognizable. The slice of the valley shown in the image is oriented in the Oblate direction of the Julibrot, the orientation defined by the real(Z) and imag(C) axes. It has been stretched around 25 times in the vertical direction to counteract the natural horizontal stretching in this part of the Julibrot. I named the image "Where are the Elephants?". The calculation time on the P2000 is almost 3 minutes. On the P200 it would be around 14 minutes. On the FOTD web site the image may be viewed almost instantly however. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Near perfect weather, with sunny skies and a temperature of 79F 26C, made everyone happy on Saturday. It made me so happy that I decided to take the day totally off, and go out and have fun, which explains the late FOTD. The next FOTD might be ready in 24 hours, or if I decide to have another fun day, it might not. So until next time, take care, and keep enough chaos in your life to make it interesting. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= WhereAreElephants { ; time=0:02:52.35-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=1 center-mag=0/+0.477351227473598/83.88363/0.04158 params=0/0/90/0/0.277/0/0/0 float=y maxiter=18000 inside=0 logmap=6 symmetry=yaxis periodicity=10 colors=000KHUKIUKJULKTMKTNKSOKSPKRQKRRKRTKQUKQWKPY\ KP_KPaKOcKOeKNgKNiKNkKMmKMoKLpJLpILpHKoIKoJJoKJoLJ\ nMLmNMkONjOPhPQgQReRTdRUbSVaSW`TYZTZYU_WVaVVbTWcSW\ dQXfPYgNYhMZjLZkJ_lI_mG`oFapDaqCbsAbt9cu7bw8cv8cu9\ ct9dsAdsAdrBdqBepCepCeoDenDfmEfmEflFfkFgjGgiGgiHhh\ HhgIhfIhfJieJidKicKicLjbLjaMj`NgdMj`LmYKoVJrSItPHw\ MGyJFwIFvIFuIFtIFrIFqIFpIFoIFmIFlIFkIFjIFiIFgIFfIF\ eIFdIFbIFaIF`IF_IFZIFXIFWIFVIFUIFSIFRIFQIFPIDNJFOI\ HPIJQILQHMRHOSHQTGSTGUUGVVFXWFZWF`XEbYEcZEeZDg_Di`\ Dj`Dh_Ff_Hd_Jb_K`_MZ_OX_QV_RT_TR_VQ_WO_YM__K_aI_bG\ _dE_fC_hA_i8_k6_m5_n7Zm8Zm9ZmAYmBYlCYlEXlFXlGXkHWk\ IWkJWkLVkMVjNVjOUjPUjQUiSTiTTiUTiVSiWShXShZRh_Rh`R\ gaQgbQgcQgfSfdQgbPg`Nh_MhYLiWJiUIjTHjRFkPEkNClMBlK\ AmI8mG7nF6nD4oB3oA2oB6kBAhCEeCIbDM_DQXEUUEXRFYSFZS\ F_SF`TFaTGbTGcTGdUGeUGfUNGlNGmOGnOGoOGoVMj`SfgYamc\ YvlSshUpeWnbXk_ZiW_fTadQb } frm:SliceJulibrot2 {; 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=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 09-06-07 (Nearly Linear [8])
by Jim Muth 09 Jun '07

09 Jun '07

FOTD -- June 09, 2007 (Rating 8) Fractal visionaries and enthusiasts: For today's FOTD fractal we have a picture of a midget. But this is not just any old midget. It is a midget in the fractal that results when the nearly-linear formula (-Z)^(1.09)+C is calculated. This parent fractal has X-axis symmetry as well as an overall resemblance to a Mandelbrot set with all its bays but the large period-2 bay missing. Today's scene is located in the chaos that lines the north shoreline of the parent fractal. Midgets are very hard to find in fractals of such a low order, so I was very lucky to find the little fellow. I was so lucky in fact that I decided to grant the image the honor of being FOTD for a day. With its many intricacies, the midget really is interesting, and unexpectedly attractive as well. I named the picture "Nearly Linear", referring to the exponent of Z, which is quite close to unity. Then I rated it at an 8 to reward myself for the extra effort I put into the coloring. The calculation time of 4 minutes on the P2000 would be increased to around 20 minutes on the P200. The calculation time becomes irrelevant however when the pre- calculated image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Far too much heat here at Fractal Central on Friday made things unpleasant for those who had to be outdoors. High humidity and a temperature of 93F 34C isn't in the comfort range. The cats, who never go outside, paid no attention to the heat. They were happy taking it easy all afternoon on their scratching posts. By the time a cooling thunder-shower moved in at 9pm, they were asleep. My day was moderately busy. Tomorrow will likely be slower. If it is, the next FOTD will appear in 24 hours. If not, the FOTD might take 25 hours. Until then, take care, and be at ease with things as they are. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Nearly_Linear { ; time=0:04:11.33-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMiN passes=1 center-mag=+0.03378299242425540/+1.142571955783682\ 00/7.474851e+011/1/-87.4999618587140731/-0.0029595\ 3393662999609 params=1.09/0/0/0/0/0 float=y maxiter=2800 inside=0 logmap=772 symmetry=none periodicity=10 mathtolerance=0.05/1 colors=000EkpEjpDioDhnCfnCemBdlBblAakA`jA_jBYhBXgC\ WeCUdDTbDSaDQ_EPZEOXFNWFLUFKTGJREHQCGOAFN5EL0CK0BI\ 0AH08F57EA6CF5BK7DL8ELAFMBGMDHMEIMFJNHLNIMNKNOLOOM\ POOQOPRPRTPSUPUVPVWQWXQYYQZZR``RaaRbbRdcSedSgeShfD\ XvSigbuRevTgvVivXlvZov_rvauvcxvezvfzsdzqcznawl`riZ\ pgYmdXlbVj_UiYShVRgTQfROeONdMLcJKaHI`EH_CGZ9EY7DX4\ BW2AV09U18U18T18T18S18S18S18R18R18Q18Q18P18P18P18w\ c8rU8kP8dK8aF8ZA8U58Q28O28M28L28J28J28J28M3CO3FR3I\ T3LV4PY4S_4Va4Yd4`f5dh5gk5jm5mo5pm6ok6oi6oh6of6od6\ oc7na7n_7nZ7nXcxVZmUUhSPcQKcOFUNAUL8UJAUI9KG9UE9UD\ 9KB9K99U89UDAUHBKLCKPCcTDacEZiEcwFchGTlGRjIThKUfMW\ dNXbPZaR__TaYUbWWdUYeSZgR`hPbjNdkLemJfnHgpGhqHiqIj\ qKkqXl3Ym3Zn3do2ep2eq0fr2fr3gr4hs5js6ks7ltAotFstKw\ uPzuUzuZzvczvhzvmzvrzvvzvzzvzzwzzwzzwzzwzzwzzwzzwz\ zwzzwzzxzzxzzxzzxzzxzzxzzxzzyzzyzzyzzyzzyzzyzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 08-06-07 (Mandelbrot Ringers [No Rating])
by Jim Muth 08 Jun '07

08 Jun '07

FOTD -- June 08, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image is more a mathematical curiosity than a work of fractal art, which is why I gave it no rating. When I first saw it, I could hardly believe my eyes. I had never witnessed such a gathering of Mandelbrot midgets in all my days of fractal exploration. (I consider myself a fractal explorer rather than a fractal artist.) I was astounded, but then a closer look revealed that there is only one real midget in the image. (It is easy to spot.) The other 'midgets' are ringers -- just plain holes playing the role of actual midgets. I immediately named the image "Mandelbrot Ringers". Today's image is from the same parent fractal as yesterday's far-better image. In fact, it is located in the much larger seahorse-type valley just north of the tiny valley that held yesterday's image. The Mandelbrot 'ringers' that fill the scene are not total losses. They are centers of much chaos, some of which is quite interesting and might appear as a source of a future FOTD. The render time of 53 seconds on a P2000 is about all the image is worth. The best way to see the image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for near-instant gratification. Warm sun and a temperature of 81F 27C made Thursday quite pleasant here at Fractal Central. The fractal cats spent the day idling about the place. The most excitement came when a wandering tomcat passed by, calling for any lady within hearing. When they heard him, the fractal cats rushed to the window and wondered what the tomcat was so worked up about. My day was totally average, and this includes the fractal. The next FOTD, hopefully better than average, will appear in 24 hours. Until next time, take care, then do as you will. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot_Ringers { ; time=0:00:53.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.30973458659775410/+0.249770164311793\ 80/1411.637/1/-107.5/2.67205008119830723e-012 params=-2/1.5/2/2.5/0/0/0/0 float=y maxiter=1600 inside=0 periodicity=10 colors=000I`bI`aJa`Ka`Ka_LaZLaYMaYNaXNaWOaVOaVN`UN\ _UNZUNYUMXUMWTxQcwQawP_wOZvOXvNWvMUuMSuLRuKPuJOtJM\ tIKtHJsHHsGGsFErFCrEBrD9rD8qC9pBApBBoACnADn9Em8Fl8\ Gl7Hk7Ij6Jj5Ki5Lh4Mi1Nh4Nh7NgANgCNfFNfINfKNeNNeQNd\ TNdVNcYNc`NcbNbeNbhNakNamN`pN`sN`uNZsPYrQXpRWoTVmU\ UlVTjXSiYRgZQf`OdaNcbMadL`eKZfJYhIWiHVjGTlFSmDSqER\ nERkFQiFQfGPcGPaHOZHOXHOUINRINPJMMJMKKLHKLELKCLK9Q\ AALK7GU4Bb1Ca4D`6E_8FZAGYCHXEIWGJVJKULKTNLSPMRRNQT\ OPVPOYQN_RMaSLcSKeTJgUIiVHlWGnXFpYErZDt_Cv_Bx`Cv`C\ taCraCpbCnbCmcCkcCidCgdCegAfdCdbDb`F`YGZWIXUJVRKTP\ MRNNPLPNIQLGRJETHBUF9WD7XB5Y97XA8XBAXCBXDCXEEWFFWG\ HWHIWIJWJLVKMVLOVMPVNRWMQVOPUQPUSOTUOTWNSYMS_MRaLR\ cLQeKQgJPiJPkIOmIOnJNmKMmKLmLKlMKlMJlNIlOHkOGkPGkQ\ FkQEjRDjSDjSCjTBiUAiU9iV9iW8hW7hX6hZ4gX6hW8hV9hUBh\ TChSEhRFhQHhPIhOKhMLiLNiKOiJQiIRiHTiGUiFWiEXiDZiC_\ iD`hE`gE`fF`fF`eG`dH`cH`c } 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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