September 2007 - Fractint - mailman.xmission.com

FOTD 24-09-07 (Hither and Yonder [6])
by Jim Muth 24 Sep '07

24 Sep '07

FOTD -- September 24, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image was created by subtracting Z^(1.1) from Z^(-1.1) and adding (1/C). The parent fractal is little more than a scattering of fractal debris with many small distorted Mandel- brot sets lying in the debris. Today's scene is located near the tip of an archipelago of debris extending from one of the buds of one of the larger M-sets. I named the image "Hither and Yonder", though I have no idea why I chose such a name. The rating of a 6 seems about right for the image, which IMO is somewhat better than the FOTD average. In the image I tried to give the effect of a Minibrot standing out alone in an otherwise empty universe. The rating of a 6 shows how satisfied I am with my success. The near-effortless calculation time of 48 seconds can be bettered only by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the already calculated image there. With an absolutely cloudless sky and a temperature of 79F 26C, the weather was perfect here at Fractal Central on Sunday. I took advantage of the optimum conditions by spending the day in recovery from the day out on Saturday. The fractal cats spent the day helping me recover. The next in the apparently endless line of FOTD fractals will appear in 24 hours. Until then, take care, and remember to feed your fractals enough iterations to keep them healthy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hither_and_Yonder { ; time=0:00:48.55-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.116881071509402/-0.4370579950961422/\ 1.584087e+008/1/134.25/-5.55357036247e-005 inside=0 params=-1/1.1/1/-1.1/0/0/0/0 float=y maxiter=700 logmap=99 periodicity=10 mathtolerance=0.05/1 colors=00000F00HAK0zmJroQ0J40L60N75P8AR9FUBKWCUYDZ\ _EbaFfdIjcLlbOmaRk`UndZricvnhzsmzxrzzvzzzzzzfAAjFF\ nPPrQPuUUoTUoSUoSUoRUoRUzczzczzczzczuczzczzczzPYzR\ JzS5zU8zWBzYEQ_HHaK`dIsgGziEzhIzhMwhQshUngYigadge`\ giWSLbaJhjHosFuzEszIpzMnzPkyTixXfw`dwcevafu`ftZgtY\ hsXhrViqUjqSjpRkoQlnOlnNmmLnlKnlJkmIhmHemGbmF_mFXm\ EUnDRnCOnCLnBInAFn9Cn9EkCFhEGfHHcJJaMKZOLXQMUTNRVP\ PYQM_RKbSHdTFfVIcWKaXM_YOYZQV_ST`URaWPcZMd`KebIfdG\ gfDhhBij9jl7ki8lg8ld8mb8m_8nY8nV9oT9oQ9pO9pL9qJ9qH\ 9zGSxJRyMRzPRzRRzURzXRz_RzaRzdQzgQzjQzlQzoQzrQzuQz\ wQzQQzTSzVUzYWz_YzbZzd`zgbzidzlfzngzqizskzvmzxnzyk\ zzizzgzzezzczzazzZzzXzzVzzTzzRzzPzzNzzOzzOzzOzzOzz\ OzzOzzOzzPzzPzzPzzPzzPzzPzzPzzQzzRzzSzzTzzUzzWzzXz\ zYzzZzz_zz`zzazzbzzczzdzzczzczzbzzbzzazzazzazz`zz`\ zz_zz_zz_zzZzzZzzYzzYzzXzzQzzXzzXzzWzzWzzVzzVzzVzz\ UzzUzzTzzTzzSzzSzzSzzRzzR } 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 23-09-07 (Hither and Yonder [6])
by Jim Muth 24 Sep '07

24 Sep '07

FOTD -- September 24, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image was created by subtracting Z^(1.1) from Z^(-1.1) and adding (1/C). The parent fractal is little more than a scattering of fractal debris with many small distorted Mandel- brot sets lying in the debris. Today's scene is located near the tip of an archipelago of debris extending from one of the buds of one of the larger M-sets. I named the image "Hither and Yonder", though I have no idea why I chose such a name. The rating of a 6 seems about right for the image, which IMO is somewhat better than the FOTD average. In the image I tried to give the effect of a Minibrot standing out alone in an otherwise empty universe. The rating of a 6 shows how satisfied I am with my success. The near-effortless calculation time of 48 seconds can be bettered only by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the already calculated image there. With an absolutely cloudless sky and a temperature of 79F 26C, the weather was perfect here at Fractal Central on Sunday. I took advantage of the optimum conditions by spending the day in recovery from the day out on Saturday. The fractal cats spent the day helping me recover. The next in the apparently endless line of FOTD fractals will appear in 24 hours. Until then, take care, and remember to feed your fractals enough iterations to keep them healthy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hither_and_Yonder { ; time=0:00:48.55-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.116881071509402/-0.4370579950961422/\ 1.584087e+008/1/134.25/-5.55357036247e-005 inside=0 params=-1/1.1/1/-1.1/0/0/0/0 float=y maxiter=700 logmap=99 periodicity=10 mathtolerance=0.05/1 colors=00000F00HAK0zmJroQ0J40L60N75P8AR9FUBKWCUYDZ\ _EbaFfdIjcLlbOmaRk`UndZricvnhzsmzxrzzvzzzzzzfAAjFF\ nPPrQPuUUoTUoSUoSUoRUoRUzczzczzczzczuczzczzczzPYzR\ JzS5zU8zWBzYEQ_HHaK`dIsgGziEzhIzhMwhQshUngYigadge`\ giWSLbaJhjHosFuzEszIpzMnzPkyTixXfw`dwcevafu`ftZgtY\ hsXhrViqUjqSjpRkoQlnOlnNmmLnlKnlJkmIhmHemGbmF_mFXm\ EUnDRnCOnCLnBInAFn9Cn9EkCFhEGfHHcJJaMKZOLXQMUTNRVP\ PYQM_RKbSHdTFfVIcWKaXM_YOYZQV_ST`URaWPcZMd`KebIfdG\ gfDhhBij9jl7ki8lg8ld8mb8m_8nY8nV9oT9oQ9pO9pL9qJ9qH\ 9zGSxJRyMRzPRzRRzURzXRz_RzaRzdQzgQzjQzlQzoQzrQzuQz\ wQzQQzTSzVUzYWz_YzbZzd`zgbzidzlfzngzqizskzvmzxnzyk\ zzizzgzzezzczzazzZzzXzzVzzTzzRzzPzzNzzOzzOzzOzzOzz\ OzzOzzOzzPzzPzzPzzPzzPzzPzzPzzQzzRzzSzzTzzUzzWzzXz\ zYzzZzz_zz`zzazzbzzczzdzzczzczzbzzbzzazzazzazz`zz`\ zz_zz_zz_zzZzzZzzYzzYzzXzzQzzXzzXzzWzzWzzVzzVzzVzz\ UzzUzzTzzTzzSzzSzzSzzRzzR } 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 23-09-07 (A Rite of Passage [7])
by Jim Muth 23 Sep '07

23 Sep '07

FOTD -- September 23, 2007 (Rating 7) Fractal visionaries and enthusiasts: To begin, I must apologize for the lateness of the FOTD. But we were out all day Saturday, leaving no time for a proper fractal search. With its rating of a 7, today's fractal turned out unexpectedly well, considering the little time I spent on it. The expression being iterated subtracts 2.3 parts of Z^(-1.75) from 2.3 parts of Z^(-1.25) and adds (1/C). The resulting parent fractal contains twin Mandeloids connected at the hip and surrounded by a large field of chaos. This chaos is filled with many small Mandelbrot sets, with today's scene being located in the East Valley area of one of the two largest sets. The image is potentially quite a good one, maybe an 8 or a 9, but as it is, I was too hasty with the coloring, which tends to the muddy side. Still, it's an interesting fractal, well worth a look. The name is pure whimsy. To take that look, run the included parameter file or view the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But because of the lateness of this FOTD, it may be a little while before Paul gets the image posted. So be patient. The weather was quite good here at Fractal Central on Saturday (sunny, 86F 30C), which is why we decided to go out and have fun. The fractal cats slept through most of the day. The next FOTD will arrive at this same spot, on time in around 12 hours. Until then, take care, and please curb your fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Rite_of_Passage { ; time=0:04:59.89-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.419082571631869/+1.824668113269568/\ 1.26264e+011/1/115/0 params=2.3/-1.25/-2.3/-1.75/\ 0/0/0/0 float=y maxiter=3400 inside=0 logmap=570 periodicity=10 mathtolerance=0.05/1 colors=0009LYBPWCPVDP`FKeGFkHBpNPkSbgd2yZ1rU1lO0fJ\ 0`E0VF3SG6QH9NICLJFIJIGKLELOBMR9NU6OX4OZ2NX7MVBLTF\ KRJJPOINSHLWGJ_FHdEFhDDlDCpGP_J`KLl4Jm6In7Hn8Go9Fo\ ADpCCqDBqEArF9rG7sI6tJ5tK4uL3uMAoGGjBNe5T`0Ra5Qb9O\ cDNdHMdMKeQJfUHgYGgbFhfDijCjnBjrCipChoCgmCflCekCdi\ CchDbgDaeD`dD_cDZaDY`DY_KSVRMRYHMhBIm6Ec9AIB74D49I\ 6EN7IS8NUAUmBcmCmmEwpFwuGwzHwtIwoJmmKcmLYmMUmNRmOO\ mPLmQImRFmSGmTHmTImTImTJmUKmUKmULmUMmUNmVNNVOPVPQV\ PRVPSRPTOOUMNULMUKLUJKUIJVHIVGHVFGVEFVDSgbK`MPfVfH\ `dKacNabQa`Ta_WaZZbYabWdbVgbUjbgiwejudjscjqbjp`kn_\ klZkjYkiWlgVlzUlc0LD0VMXcVeHocJnaKmMRlKSkJUiHVfVSc\ TTcaKb_KaZYeXcdWjcUkbYdHXKMWKQVKVUkZzVAzXDzZGz_Iza\ LzcOzdQzfT_hWYiYVk`SaPTcRTdSTeUTfVTgWThYTiZTZ`TZaK\ ZbMZbOZbQZbSibqdVmhXimYfrZbv__z`Wzaazu_zrZzpYzmXzk\ WziVzfUzd7zf9zeAzeCzeDzeEzdGzdHzdIzdKzcLzcNzcOzcPz\ bRzbSzbPzrQzoRzmRzk9zU9zP } 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 22-09-07 (Here We Go Again [5])
by Jim Muth 22 Sep '07

22 Sep '07

FOTD -- September 22, 2007 (Rating 5) Fractal visionaries and enthusiasts: "Here we go again", I thought as I struck the 'enter' key to create today's very fast fractal image. How many times have I searched for interesting midgets in the fractals with exponents of Z in the range between 1 and 2? And how many times have I come away only marginally satisfied? Too many times to count! Today's scene lies in the Z^(sqrt(2))+C Mandeloid as it appears 1.4142 turns up the logarithmic hyperspiral ladder, where it is little more than a shapeless bay surrounded by a field of chaos, with one dreary bud attached. The image is located at the edge of the chaos on the west side of the shapeless bay. I named the image "Here We Go Again" because I knew ahead of time from long experience that the result would not be worth the effort. Still, I saw enough in the tortured little minibrot at the center to work a bit on the colors and declare the image the FOTD for today. I could rate the result no higher than a 5, but a 5 is not too bad when the image calculates in a hyper-speedy 14-2/3 seconds. And even the little bit of effort required to load and run the included parameter file may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another near-perfect day prevailed here at Fractal Central on Friday. The morning fog burned off by 10am, leading to a sunny day with a temperature of 84F 29C. The fractal cats enjoyed the weather from the indoors, watching the squirrels gathering nuts. My day was notably normal. The next FOTD will be posted in 24 hours, give or take a few. Until then, take care, and might the secrets of the universe be hidden in the manifested abstractions known as fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Here_We_Go_Again { ; time=0:00:14.65-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-1.20822656/\ +0.69457459/2303/1/-120/0 params=1.4142/0/1.4142/0 float=y maxiter=2000 inside=0 logmap=45 colors=000Q5KSAOUFSWNWYR__Vca_gcdkfinhmrjnvgkyagzS\ cyHZv7R6BU7FZ7Id8Mj8Po8Rm8Th8U`8WV8YO8ZI8ZDAZ9BZ5C\ Z1DW3JU4PS5VP7`N8fL9lJAqeXLbWJ`VHYUFWTDTSBRR9PR7PZ\ FPfMPzTPz_czNmzAmzA_eAcc9Hc8acYvYwkZjaZYSZLIZ8VhFf\ qMrzTisV`mWSfXJcYAcZ2c_7cZCcYHcXMdWRhVWlU`pTetSfrW\ fq_focfnfegadaYccUbcQacM`cIYcUVcdShoPszSrsVrmYrgSf\ WMcKHc8NcFSbMXkSUgUScVPcWNcXKcYIcZFc_Dc`DcYDcVDcSD\ fPDmMDsJDyGAjO7cV4ca9cdDcfHchLcjPclTjnXnpahjfcekZ_\ pcVtcQkcaccmWcyTcrRclPcfMc_KcUIcOGcIFcRFcZElgEwokP\ ulSplUklWflYal_XlaSlcNleJjgRhiYfkedmlcnsaip`dn_clZ\ djYegXgeWicVkaUmYUoUTqQTrNSsJStFSuCLvVEwmMxjTyg_zd\ fzamzZpzerzkozmmznjzphzqfzrAztazu_zvWzqTzlQzhMzczz\ JzzLzzTzz_zzgzznzzuzzozzizzczzYzzVzzTzzQzzOzzMzzNz\ zOzzPzzQzzRzzNzzJzzFzzBzz7zz3zz0zz5zzAzzFzzKzzPzzU\ zzYzzazzezzizzlzzpzzizzczzYzzSzzMzzTzzZzzdzzjzzpzz\ vzzuzztzztzzszzrzzrzz2zz2 } 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: FOTD for 9/21/07
by Paul N. Lee 21 Sep '07

21 Sep '07

Brian Prentice replied to philofractal: > > Here is a detail from the parent fractal > described by Jim Muth today: > > http://linuxenvy.com/bprentice/Fractals/Set%2012/BP_12_61.jpg > Very colorful, and the 1280x960 size shows a lot of details. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD 21-09-07 (Squarely Rooted [5])
by Jim Muth 21 Sep '07

21 Sep '07

FOTD -- September 21, 2007 (Rating 5) Fractal visionaries and enthusiasts: Today's image takes us back to the MandelbrotBC2 formula and the complex logarithmic hyperspiralling ladder. Today however we do not need the ladder, since we explore the Z^(sqrt(2))+C fractal at its ground level. The parent fractal is a most curious Mandeloid, with a triangu- lar period-2 bud as large as the main bay and an unusually long zig-zagging main spike extending far into positive-imaginary territory. Today's scene is located deep in a valley separating the large triangular bud from a large sub-bud on its northern edge. The depth of the scene in the valley makes today's image much slower than the FOTD images of recent days. I named the image "Squarely Rooted" because its exponent is the square root of 2. I rated it at a hum-drum 5 because it is plagued by the excessive chaos that is so typical of fractals with exponents of Z in the range between 1 and 2. The calculation time of 12 minutes on the P4-2000mhz computer would be near one hour on the old P200mhz unit. So why not visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the image effortlessly there. Another typical end-of-summer day prevailed here at Fractal Central on Thursday. The morning fog lifted by 10am, leading to a sunny afternoon with a temperature of 82F 28C. The fractal cats made the most of it by lounging in the sun streaming in the southwest window for most of the afternoon. My day was neutral. The next FOTD will be posted for all it is worth right here in 24 hours. Until then, take care, and remember Fractint in your will. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Squarely_Rooted { ; time=0:12:11.04-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.1234698959\ 7/+1.53149499923/3184551/1/90/3.88578058618805e-016 params=1.4142/0/0/-97.25 float=y maxiter=7200 inside=0 logmap=1174 periodicity=10 colors=00060K60K60K70K70J70I80H80I80J80K90L90M90NA\ 0OA0PA0Q90RA0SA0TA0UB1TB2SB3RB4QC5PC6OC7ND8ND9NDAN\ DBNECMEDMEEMFFMFFMFFMFGLHHKIIJKJJLKINLIOMHQNHROGTP\ GUQFWRFXSEZTE_UDaVDbWCdXCeYBgZBh_Aj`Aka9la9la9j_6h\ Y3fW6dU9cSBdQEeOGfMJhKLiKOjLQkMTlNVmOYoQ_pRbqSdrTg\ sUitVlwVquWnsWlqXjoXhmXfkYdiYbhY`fZZdZXbZV`_TZ_RX_\ PV`NU`LS`JQaHOaFMaDKbBIb9Hb7F_6EY6DW5CU5AS49Q48N37\ L35J24H23F12D14E35E47E58E6AF7BF8DF9EFAGGCHGDJGEKGF\ MHGNHHPHIQHJSILTIMVINWIOYJPZJQ`JRaJScOPdTMeXJgaGhe\ DijAkn7ls4lz0mw2nt3oq4pn5qk6rh7se8tbAu_BvXCwUDxREy\ OFzLGzJHzGEpDBgB8Y85Q52K30E73BA6CD9EGCGKFHNIJQLKTO\ MWQO_TPbWRfcSjmUnzWkzXfzZ`z_VzbUzbPZbKRbKJaK9`KB_K\ D_KFZKGYKIYKK_OLbNNbSPbRQdQScQUcPWbOXaOZaN``Ma`Mc_\ LeZKfZKhYJjYJk_Oj`SiaWhc`gddfehfhcikZkmUnpPptBzrKr\ qSjp_bngVmoNcxChwFmwIrwLvwOzwRzwUzwXzvWzvWzuVzuVzt\ UztUzsUzsTzrTzrSzqSzqRzQH } 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 20-09-07 (A Tight Squeeze [6])
by Jim Muth 20 Sep '07

20 Sep '07

FOTD -- September 20, 2007 (Rating 6) Fractal visionaries and enthusiasts: I named today's rather unusual fractal picture "A Tight Squeeze". I gave it this name because the poor little minibrot at the center is being squeezed by an ever-shrinking bailout radius, and is at the point where it is about ready to be swallowed up into the nothingness that awaits all uniterated fractals. The rating of 6 is based largely on the coloring, which I spent some extra time on. Without this hand-designed palette, the image would hardly be worth a second look. The parent fractal is an oversized and very distorted Mandelbrot set, notable for its unusually small buds. Most of this parent fractal lies off the left edge of the default screen. This distorted set is surrounded by clusters of debris, with today's scene located in a bit of debris near the negative X-axis, just to the east of the main bay, but still well within negative real territory. The calculation time of 14 seconds is no mistake. This is the time the image takes to finish on the P4-2000mhz computer. On the worn-out P200 machine it would finish in about 1-1/2 minutes. For maximum convenience, the completed image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be instantly viewed and enjoyed. Near perfect conditions continued here at Fractal Central on Wednesday. After the early morning fog cleared off, the warm sun warmed the air to 77F 25C. The fractal cats amused them- selves a good part of the afternoon by watching two chipmunks frolicking in the grass in the back yard. My day was kept active by an unexpected job, which occupied most of the morning, but left the afternoon free for leisure. The FOTD will appear again in 24 hours. Until next time, take care, and then some. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Tight_Squeeze { ; time=0:00:12.46-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-0.54021836525840720/+0.169188470362415\ 70/1.379919e+013/1/125/0 params=0.7/-3/0.7/2/0/\ -94.1665/0/0 float=y maxiter=300 inside=0 logmap=42 symmetry=none periodicity=10 mathtolerance=0.05/1 colors=000N0FQ0KT0KX0KR0LO0300QA2UC1_GFkJNmNWqQezU\ ozmzzwzzVczVavU_rTYmTWhSUcSSZRSWQSUPSWORXMRZLR_KRa\ JQcIQdGQfFQgEPiDPjCPlBPmGTgKXaVdMP`WTdQMLSOORPQQQS\ PRVOSXOTZNUaMVcLWeKbb7_eE_pKZoKZnKZmKZmKYlKYkKYjKY\ jKXiKXhKXgK_P1ZS4ZV7YYAY_CXbFXeIcYzbZva_ra`n`aj_bf\ _cbZdZYeVYfRXgNbrSaqRapQ`oQ`oP`nP_mO_lOZlNZkNZjMYi\ MYiLXhLXgKs6NoDMkJMgPLcWL_aKdx1cv3bu4bt5as7ar8`q9`\ pA_nC_mDZlEZkFYjHYiIXhJJy1Mu5Pq9SnDVjHqCenHakMZhQW\ eVTbZQ_cNnM_lPYjRWhTVfVTeXSc_QaaO_cNYeLTifUhdUhbUh\ aVh_VhZVhXVhWWgUWgTWgRWgQXgOXgNXgLI7XLEUNKSQQQSWOV\ aM1HaG03J66LB8NHAPMCRSETXGVbILUXNWVOZUPcTQhRRmQTrP\ UvNVzMWzL1z45z68z8Bz9EzBHzCLzEOzGRzHUzJ1zCCzFNzIcz\ 3az8_zCYzGiz`hzZgzYfzXezWdzUczTbzSazR`zQ_zOZzNYzMX\ zLKzeLzcMzaNz`OzZPzYQzWRzVSzTTzRUzQVzOWzNXzLszHpzI\ mzIkzIhzJfzJczJazKZzKdzdbzZ`zUZzPAzFDzGGzHJzHMzIPz\ JSzJVzKGzgIzeJzcazhezihzk } 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 19-09-07 (Test [8])
by Jim Muth 19 Sep '07

19 Sep '07

FOTD -- September 19, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's splendid image owes its existence to the 'fmod' feature of Fractint, which creates the effect of overlapping bubbles. The parent fractal came about when I combined 100 parts of Z^(-3) with 1/100 part of Z^(2) and added C. With 10,000 times as much Z^(-3) as Z^(2), one would think the resulting fractal would be little more than the 4-pointed Z^(-3) Mandeloid, but actually it is a hugely enlarged Mandelbrot set, with bits of debris in the center of the main bay as well as in every bud. Today's image is located in an elephant trunk in the East Valley area of the parent. At first glance the central midget appears to be a routine one of this area, but a comparison with the same area of the true M-set will reveal that the pattern around the midget has changed. The change was enough to inspire me to a rating of an 8. The name "Test" was a total accident. I forgot to name the image, so I went with the default name of all parameter files created by the program. The calculation time of 1-1/4 minutes would be stretched to around 7 minutes on the slower computer. But regardless of the speed of the parameter file, it is always almost instantaneous to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another perfect day (sunny, 73F 23C) went un-noticed here at Fractal Central on Tuesday. Of course, if the day was un- noticed, then how do I know it was perfect? That's a question worth pondering. The fractal cats pondered. They pondered their food dishes, that is. My day was routine in all respects, except for the fractal, which turned out better than I had hoped. The next fractal will appear in 24 hours. Until then, take care, and fractals are the strangest creatures ever. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Test { ; time=0:01:13.97-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+27.7974630212/-0.7662145179/52524.91/1\ /-172.5/0 params=100/-3/0.01/2/0/350000/0/0 float=y maxiter=1550 inside=0 proximity=500 outside=fmod logmap=yes periodicity=10 colors=000wxwvwuuvstuqstorsmqrkpqiopgooenncmmalm_k\ lYkkWjjVijUhiUghTggSfgRefQdePddOcdObcNabM`aL_`KZ`J\ Z_IYZIYYHWYGVXFVWEUVDTVCSUCRTBRSAQS9PR8OR7NQ6OQ5NP\ 6NP6NO6NN6NM6NL6MK7MJ7MI7MH7MG7MF7ME7LC8LB8LA8L98L\ 88L78K69K59K49K39K29K19K09K1AK2AK3AK4AK5AK6AK7AK8A\ K9AKAAKBAKCAKDAKEAKFAKGAKHAKIAKJAKKAKKAKLAKMAKNAKO\ AKPAKQAKRAKSAKTAKUAKVAKWAKXAKYAKZAK_AK`AKaAKbAKcAK\ cAKdAKeAKfAPgAUhAZiAcjAhkAmlArmAvnAzoAzpAyqAyrAysA\ xtAxuAwvAwwAwzFwwAwuBwsBwqBwpBwnBwlBwkBriBmgBhfBcd\ BZbBUaBU_BVYBWWBWVBXTBYRBYQBZOB_MB_LB`JBaHBaGBaGB`\ HC`HC`HD_ID_IEZJEZJFZJFYKGYKGXLHXLHXLIWMIWMJVNJVNK\ VNKUOLUPLTQMTRMTRMURMUSMVSMVTMWTNXTNXTNYVNYWNZXN_Y\ N_YO`ZO`_Oa`Ob`ObaOcbOddNcbObaPa`Q`_R_ZSZYSYXTXWUW\ VVVUWUTWTSXSRYRQZQP_PO_OM`NLaMKbLJcKIdJHdIGeHFfGEg\ FDhEChDBiCAjB9kA8lB5nA7lSsBUtDVtFXtGYtI_tJ`tLbtMct\ OetPftRgtTitUjtWltXmtZot_ } 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 18-09-07 (Up High--Down Low [6])
by Jim Muth 18 Sep '07

18 Sep '07

FOTD -- September 18, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image is kind of an oxymoron -- a quadratic minibrot surrounded by a pattern expected only in fractals of a much higher order. Well, the higher order part of the image should not be much of a surprise when the generating expression sub- tracts Z^13 from Z^12, then adds C. The quadratic part is simply the shape of most minibrots in the critical parts of most fractals generated by the MandAutoCritInZ formula. The parent fractal is basically an everyday 12-lobed higher- order Mandeloid with a little more fractal debris scattered close around the perimeter than would normally be expected. Today's image is located close to the negative X-axis, in some of this debris. I named the image "Up High--Down Low". I have forgotten why I chose such an unlikely name, but it sounds just unusual enough to be a name for a FOTD. The rating of a 6 means that the image, with its well-defined patches of strong color, is just a little above the FOTD long-term average. The calculation time of 1-1/2 minutes is true on the fast machine. On the slow unit the calculation would take around 10 minutes to finish. But why worry about running parameter files when the completed image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Near perfect weather prevailed all day Monday here at Fractal Central. A bit of river fog in the early morning cleared out by 9am, leading to a day with brilliant warm sun and a temperature of 68F 20C. Good behavior prevailed among the fractal cats, who are fast becoming the official watch cats of F.C. My day was routine, which means busy enough to prevent recession concerns. The next FOTD will appear in 24 hours. Until then, take care, and are fractals good, evil, neither or both? Or is the question meaningless? And if the question *is* meaningless when applied to fractals, what about when it is applied to the events of the 'real' world? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Up_High--Down_Low { ; time=0:01:35.18-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident inside=0 center-mag=-1.006625002317998/+0.00827883211913072\ /3.746549e+012/1/-54.9/0 params=-1/13/1/12/0/0/0/0 float=y logmap=335 maxiter=1850 logmap=335 periodicity=10 mathtolerance=0.05/1 colors=000ASfFTiNUkUVm`SoXTfTQZPMRLIJ04Bs03m0KzZ9z\ uIUzzDFFMCKUAPa8Ui5Zq3czPrwUmuUrsZvqczohzkmzgrzivz\ lzzqzzvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzKUaUPPcLDmH1lO\ 2lV3la3lh4lo4fgB``IWUPQMWLFbF8iA1oL2qW2rf2sp2tkKjf\ ``bqRdjUfcWhXYiQ_kJamCcn6eeGYXPQPYJoZopYjpXfqWbqVZ\ qVVlohgr`buTYxLTzDIFeOLcTRaYX`bbZghYlnWqtVirZbpaWn\ ePmhRngTogVpfXpf`ihcbigXjjQknJlqDm5B2FO7P_BZkFgcl`\ YzmUpwUfuRArK9mN8hJ7cE5Z84U33P02K59FCFAJMIPSOPNTOJ\ ZOFcNBiM7nM3lP8jSDhVHgYMe`QccVbeZebXh`VjYUmWSpTQrR\ PuONwMMoMLhMLaMLUMKNMKGMK9MK8OM8QO7SP7UR6WS6YU6_VF\ _aO_gX_me_sn_yFP5PMGYJRfGaoDlxAvtGmpLdlRWhWNe`EaWL\ YSSUOZQJeMFTJBZNE_RGjVIkZKlrMwwOxwQywSysfkOa6L_7JZ\ 8GX9EW9KUKQSVWQeaOp`Nk`Mf_La_KXYQ_XWbWaeUchTekSgnP\ ilNkjLmh9o4DqAHsFLuKPwQTyVWz__zVczQhzLmzGrzKvzOzzS\ zzWzz_zzczzgzzizzkzzmzzozzqzzszzuzzozzjzzdzz_zzVzz\ PzzKzzFzzQzz_zzjzztzzCGJA } 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 17-09-07 (Lawbreaker [8])
by Jim Muth 17 Sep '07

17 Sep '07

FOTD -- September 17, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's fractal is a true lawbreaker, which is what I named it. Everyone knows that the number of elements in the patterns around quadratic minibrots increases in the series 2,4,8... as the midget is approached. So how do we explain the midget at the center of today's image, which is obviously quadratic, but is surrounded by a 3,6,12... series of elements? I will not even try to explain it. I'll leave the explanation to the geniuses of fractal mathematics. To me it's just one of the unexpected things that make fractal exploration so fascinating. The parent fractal is another thin ring of radius 1 centered on the origin. This time to get the ring I combined 0.0003 parts of Z^(1001) with 0.0003 parts of Z^(-999) and added straight C. Today's scene is located in the critical detail where the ring intersects the positive X-axis. The rating of an 8 might seem a bit generous, but I think the mathematical curiosity makes the image worth the rating. The calculation time of 1-3/4 minutes is no problem. Viewing the completed image on the FOTD web site is even less of a problem. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Despite a chill in the air, Sunday was near perfect here at Fractal Central. Blue skies and a temperature of 64F 18C are hard to beat. The fractal cats spent a good part of their day on mouse duty, checking every suspicious little hole where a mouse might get in. I did little but take it easy all day. Why do more? The next FOTD will appear in 24 hours. Until then, take care, and don't be a fractalist who has lost his faith. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lawbreaker { ; time=0:01:49.08-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.99754831985625280/+0.000073916471693\ 98/1.967133e+007/1/165/3.64419725437659103e-006 params=0.0003/1001/0.0003/-999/0/0/0/0 float=y maxiter=1800 inside=0 logmap=143 periodicity=10 colors=000DALFBMFCNFDOFEPFFQGGRHHSIIUOKWUPZcUcmZht\ cmzhrzmvzqzzqzzqzzqzzszzuzzwzzzzzzzzzzzvzzrzvmzriz\ mgzhhzchzaiz_iz_jz_jzZkzZkzZlzZlzYmvYmrYnmXnhXocXo\ ZXpUWpTWqSWqSVrRVrQVsPVsPPvEKy4Iw5Hu6Fs7Eq8Do8Bm9A\ kA8iB7gB6eC4cD3aE2_E3aK4bc4gp5iz5nz6rz6oyBkzFgzJbz\ NVzRRvVPrZUmbYhfXcjVZnUUrTPvSNzUOzVOzWOzXPzYPzZPz_\ Qz`QzbQzcRzdRveRrfSmgShhSfiTekTdlTcmUbnUaoU`pV_qVZ\ rV`oUamUbkTchTdfSedSfaRg_RhYQiVQjTPkRPlOOmMOnKNoIN\ iMOdQPZTPUXQO`RJcRDgS8jS9hQAfPBdNCbMDaLE_JFYIGWGHU\ FITEJRCKPBLN9ML8NK7OI5PG4QE2RC1SB0QE1OG1MJ1LL2JO2H\ Q2GT2EV3CY3A_39b47d45g44i44g64f74e94dA4cC4bD4aF4`G\ 4_I4ZJ4XL4WM4VO4UP4TR4SS4RU4QV4PX4OY6P`8Qc9RdASdBT\ dBUeCVeDWeEXeEYfFZfG_fH`fHagIbgJcgKdgKehLfhMghMhhP\ ieSjbUk_XlXZmUanRcnOfnLinIknFnnCpn9sn6um4on8ioCcpF\ YqJSrMMsQHtTKuSUvRcwPmxOvyNzzLzzKzzJzzIzzGzzFzzEzz\ CzzBzzAzz9zz7zzSzzTzzUzzW } 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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