March 2007 - Fractint - mailman.xmission.com

FOTD 20-03-07 (FOTD for Mar 20, 2007 [No Rating)
by Jim Muth 20 Mar '07

20 Mar '07

FOTD -- March 20, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image exists in the fractal that results when the formula Z^(2.003)+C is iterated 300 levels up the logarithmic ladder. The parent fractal at first looks like a classic Mandelbrot set rotated 50 degrees, but closer examination reveals small but interesting changes along the negative X-axis, which cuts through the area of the period-5 radical on the south- west shoreline of the main bay of the M-set. BTW, this formula is the one that holds the curious Julia rectangle that I return to every so often. If real(p2) is set to PI, which is the true ground level of the logarithmic ladder, the rectangle will appear in its proper place. While yesterday's image showed an unusually smooth scene, the image for today shows an unusually busy scene. The picture is so busy in fact that I gave it neither a name nor a rating. The calculation time of just over 11 minutes could be shorter, but those who take the time to run the included parameter file will not be disappointed with the result. Those who are as busy as I am may save the time by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Monday dawned clear but quite cold here at Fractal Central, with a temperature of 14F -10C. Strong morning sun raised the temper- ature to 41F 5C by noon, when clouds moved in and halted the rise. Light snow set in at 3pm, but changed to rain by 5pm. The fractal cats were concerned with none of this. They were more interested in chasing each other up and down the hallway. My day was once again quite busy. This busy-ness is getting to be the standard situation, which leads me to wonder if it's time to start thinking of slowing down. If I do slow down, it will not be in the world of fractals. I cannot slow down with the fractals. My time is limited but fractals are infinite. And no matter how many fractals I find, I will still have seen zero per- cent of all that are possible. The next fractal will appear in 24 hours. Until then, take care, and if eternity is outside of time, will it be possible to see every possible fractal? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Mar_20_07 { ; time=0:11:13.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.76196900466103390/-0.000129467755220\ 64/1.914783e+011/1/82.5/-0.016408177 params=2.003/\ 0/300/0 float=y maxiter=2500 inside=255 logmap=302 periodicity=10 mathtolerance=0.05/1 colors=000F6VE4UE3UD1VE2UF3TF4SG5RH6RH7QI8PI9OJAOK\ BNKCMLDLMELMFKNGJNHIOIIPJHPKGQLFRKGQLFQLFQLFPLFPMF\ PMFOMFOMFONFONFNNFNNFNNFMOFMOFMOFMOFLPFLPFLPFKPFKQ\ FKQFKQFJQEJQEJREIREIREIREHSEHSEHSEHSEGTEGTEGTEFTEF\ TEFUEFUEEUEEUEEVEDVEDVEDVEDVEDVEMQGWLIdGJeILeJMeLN\ fMOfOPfPQgRRgSTgUUgVVhXWhYXh_Yi`Zib_icajebjfcjhdji\ ekkhklmknrlovlqzvwzwzzzzzzzzzzzltqkqqkmrjjrigricsh\ `sgYsgUtfRtgNvfOtfOsfPrfPqfQpfQofRnfRmfSlfSkfTjfTh\ fTgfUffUefVdfVcfWbfWafX`fX_fYZfYYfYWfZVfZUf_Tf_Sf`\ Rf`QfaPfaOfbNfbMfbKfcJfcIfdHfdGfeFfeEffDffCfgBfgAf\ g9bgCegFggIljKqhLvgLofMheMacNVbNO_NNYOMWOLTPKSPJRP\ IQQHPQHNRIMRKMSMMSOMNQMJSNETNFUNFVNFXLGZKI_JM`IO`H\ QaIVaJV`KV_LU_MUZMUZMTZMTZLTZLTZLSZLSZLSZLRZLRYMRX\ NRWORVPPUQOTPOSOOSNNSMNSLNSKMSKMRKMQKLPKLOKLNKKMKK\ LKIKKGIKEGICEGACE8AC68A468246024002000000000000000\ 0000000000000000000000zzz } 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 19-03-07 (FOTD for Mar 19, 2007 [Rating 6])
by Jim Muth 19 Mar '07

19 Mar '07

FOTD -- March 19, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image came about when I took Z^9 and subtracted 1/2 part of Z^5 from it before adding C. The result was a parent fractal that can best be described as a 4-lobed Mandeloid with each lobe subdivided into two sub-lobes. Today's FOTD was found along the positive X-axis, in what can be described as the East Valley of this parent fractal. The midget at the center has a surrounding pattern of unusual smoothness. It is disconnected from its parent, as can be seen in the disconnected nature of the pattern. The pattern is also unusually well defined, with unusually straight edges for a fractal. Some of this smoothness and definition can be attribu- ted to the coloring, but if these attributes were not there to start, the coloring could never have brought them out. I decided on a rating of a 6 for today's FOTD. I could find nothing in the image worth a name, so I let it go un-named. The render time of 1-1/2 minutes is fast enough for even the most impatient fractalists. And the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is ready for instant viewing. Crystal clear skies, strong end-of-winter sunshine and a tempera- ture of 41F 5C made Sunday a rather pleasant day here at Fractal Central, which BTW is no longer located in Baltimore. For the past year it has been located in Sunbury, on the Susquehanna River, 140 miles north of Baltimore in central Pennsylvania. And yes, in 2 days we did go from a temperature of 73F 23C to 25F -4C with 8in 20cm of snow. Such extreme variability of the weather in such a short period of time is not common here, but it does occasionally happen in this part of the world as winter gives way to spring. The fractal cats do not concern themselves with outside weather. They have enough going on indoors to keep them occupied. My day on Sunday was moderately busy. I will be probably busier on Monday. Until next time, take care, and hope for the best. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Mar_19_07 { ; time=0:01:22.33--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=+0.84578216792125090/-0.000424713579504\ 68/2217404/1/-132.5/-9.55692357855475461e-007 params=1/9/-0.5/5/0/0 float=y maxiter=550 inside=0 logmap=34 periodicity=10 colors=000hVohXojYok_olaoncoreovgoxiouglsfjpegldei\ bbea`b`Y`_W_ZUXYRUXPRWMOUKLQHIMFFIDDEE0A0AAE9AE7AE\ 6AEBPEGSELTHMUKNUJOUIPUHQUGRUHSUITUJUUKUUKUUKUTKTR\ HUPGVOHWMHXKHYJIYHIZFI_EJ`CJaAJa9J_8KZ8KZ8LY8MX8NW\ 8OV8PU8QT8RS7SR7TQ7UP7VO7WN7XM7YQoDPmEPlFPkFPjGPhG\ PgHPfIOeIOdJObJOaKO`LO_LOYMNXMNWNNVONUONSPNRPNUQNX\ RM_RMbSMeSMhTMkUMnUMqVLtVLwWLzXLzXLzYLzYLzZJzDKzEK\ zEKzEKzEKzFKzFKzFKzFKzGKzGKzGKzGKzHKzHKzHKzHLzIOzI\ RzIUzIXzJ_zJbzJezJhzJkzKnzKqzKtzKwzLzzLzzLzzLzzMzz\ MzzMzzMzzNzzNzzNzzNzzOzzOzzOzzOzzOzzPzzPzzPzzPzzQz\ zQzzQzzQzzRzzRzzRzzRzzSzzSzzSzzSzzTzzTzzTzzTzzUzzU\ zzUzzUzzUzzVzzVzzVzzVzzWzzWzzWzzWzzXzzXzzXzzXzzYzz\ YzzYzzYzzZzzZzzZzzZzzNzzOzzOzzOzzOzzOzzPzzPzzPzzPz\ zPzzQzzQzzQzzQzzQzzRzzRzzRzzRzzRzzSzzSzzSzzSzzSzzT\ zzTzzTzzTzzTzzUzzUzzUzzUzzUzzVzzVzzVzzVzzVzzWzzWzz\ WzzWzzWzzXzzXzzXzzXzzXzzo } frm:MandelbrotMix4 {; 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, 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 18-03-07 (FOTD for Mar 18, 2007 [No Rating)
by Jim Muth 19 Mar '07

19 Mar '07

FOTD -- March 18, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image is based on the formula Z^(sqrt(3))+C as it calcu- lates at the minus-PI level of the infinite logarithmic ladder. The parent fractal created by this formula at this level closely resembles a very distorted Mandelbrot set standing on its head. Today's image shows the environs of a midget located in the East Valley area of a larger midget close in on the main filament extending from the large period-2 bud of the parent fractal. Like the East-Valley midgets of the classic M-set, the midget in today's scene resembles the Julia sets of the area. I gave the image, which I found almost without trying, no rating. For a couple minutes I considered giving it a name, but then I decided to let it go un-named. I put too little effort into the image to honor it with a clever name. The render time of under 13 minutes will seem not nearly so long once the brilliant colors become visible. And those who choose not to calculate the image may view the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday started with an hour of shoveling snow here at Fractal Central, but the 8-inch (17cm) snow was fluffy and easy to push aside. The rest of the day was mostly cloudy with the tempera- ture hovering just around freezing. The fractal cats were briefly interested in the unfamiliar appearance of the outside world, which to them is a big forbidden room they never get to enter. Then they decided to get into a tussle and soon forgot the world outside. After I finished with the snow, my day was about average. The fractal I found is also about average. What I need is a series of above-average fractals, but those critters are easier to hope for than to find. The next in the long series of FOTD's will appear right here in 24 hours. Until then, take care, and be lucky in your fractal search. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Mar_18_07 { ; time=0:12:53.95--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.3169561227\ 5006480/-1.45934807761541300/6.437555e+007/1/-45/\ -8.35019084463040073e-005 params=1.732/0/-3.141592\ 65358979/0 float=y maxiter=1400 inside=0 logmap=395 periodicity=10 colors=0008008008008008208308408508608808928A48B68\ C86DA3FC0GE8HG8II8KK8KM8KO8KQ8KS8KU8KWDKYKK_PKaNGc\ IBeF8hHCeKHcLLbNP`PUZQYYTaVUdVWi`Zme_wkgzqmzwqzzzz\ zzwzzwwzwqwwkqueot`grVeqP_pKZoDVmCVoCVoBVmBVmAVl9S\ j9Oi8Lg8He6Fe6Gd5Hd4Ic4Kd3Ld3Me2Ng2Oh5Pi8QjBSkDTlG\ VoKYpM_rPatScwUeyYhz_jzalzYoz`qzerzkuzqyzqzzqzzqzz\ qzzqgl0bc0YV0TM2TG2U92U02V45V99VCCWHGaMKgPNmUQsYUy\ aYze`ziczmgzqiyogyleykdwicwhbweawd`wb_w`Zw_YuYWuWV\ uUUuTTwOZwKbwGgwBlw8qw3uw0zq2uk4qe6m`8iqAekCakDYeG\ U`IPVKMZGFeC8h90kF9iFGhDNkDVoDasIhqFdoCamFZkIVcLSb\ OO`LLbIIdMHgOGiQGkTFmWDjZDg`CcbBedBheGieKjeNkeSlgV\ miZokapm_qpYrqVsrTttQuuOwwMwxKyzHzzHzzIzyKzwLzuLzr\ LwoLmlLbiLYcLQ_LQVLPQLPMLOHLODLTALZ6Lb3Lh0Le3Oi5Si\ 9ViBZcDVdHZdKWdN_jPbpSjq`sqhwqwzqzzqzzpwzoswoosmho\ meklcgkbbkP_jPVjUSgZWdc`bhd`miZrmWvqYzpYzpZzpZzpCz\ cAzq8zzVzkqzTmzWjzZgzaczc } 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 17-03-07 (FOTD for Mar 17, 2007 [No Rating)
by Jim Muth 17 Mar '07

17 Mar '07

FOTD -- March 17, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image is not a scene in the parent fractal; it is the parent fractal itself. It came into being when I subtracted Z^(-1.1) from Z^(1.1) and added straight C. The prominent boxy effect is a result of calculating the image with the outside set to 'atan' and the inside set to 'bof61'. Since the image is basically a sample of Fractint's features, and has little other than these special effects going for it, I gave it neither a name nor a rating. The render time of 27 seconds will try no one's patience. And the pre-calculated image is available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Steady snow fell all day Friday here at Fractal Central, while the temperature hovered around 30F -1C. By evening about six inches (15cm) had piled up. The fractal cats do not fear snow, especially since they do not have to go out in it. Unfortunate- ly, I did have to go out, but the midday travel conditions were little worse than on a rainy day. According to fractal plans, the next FOTD fractal will appear right here in only 24 hours. Until then, take care, and always plan ahead. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Mar_17_07 { ; time=0:00:26.98--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.169142/-0.81157/0.470405/1/-90/0 params=1/1.1/-1/-1.1/0/0 float=y maxiter=1400 inside=bof61 outside=atan periodicity=10 colors=00000Du0k_0Mc0Rg0Vi0_m0aq0fu0kz0oz0tz0xz0zz\ 0qz0kz0du0Xm5RaDKRHDFM52R00H00P00V00a02h08o0Du0Kz0\ Pz0Tz0Xz0az00z0kz0fz0az0Xz5TzDPzKMzPHuVDoa8hh2ao0T\ x0Vu0Vt2Xq5Xo8XmA_mD_kF_hHafKadMddPdaRd_TfXVfVRfaX\ fVafPhfKmfDtf8xf0zf0zf0zf0zf0zd0ze0zf0zk0zq0zu0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz2zz5zz8zzAzxDzqFzhHz_MzT\ PzKRzATz2Vz0Xz0_z0az0_z0Xx0Xq0Vk0Vd0TX0TR0RK0PD0P5\ 0M02M05K02805K08T08d0Am0Dx0Kz0Uz0Zz0cz0Zz8UzFPzMKz\ TFz_Azf2um0qo0ut0mx5fz8_zDRzFKzKDzM2zR0z_0zT0zM0zF\ Dz8Pz0Xz0hz0tz0zz0zz0zz0zz0zzHzzVxzkqzzkzzdzzdzzXt\ zTaxPKhK0TF0DH0FA0H20K00M00P00R00P00M00K00H00F02D0\ 5D0AA2D85H58K2DP0FR0HhV8zx0zz0zz0zz0xz0qz2kz5dz8Xu\ ARqDKmFDhH0d88fHHfPRfX_hdhhmqhtzhztozotzhxzdzz_zzT\ zzPzz0zzKzzazzozztzzxzzzzzzzzztxzhmz_dzPTuFKq5Ao00\ m00f00m00t22vHFxVRzhazzzzohzkdzf_z_VzVRzRMzKHxFD0_\ z0Vz0Pt0Km0Df08a00V00P00H } frm:MandelbrotMix4 {; 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, 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 16-03-07 (FOTD for Mar 16, 2007 [Rating 7)
by Jim Muth 16 Mar '07

16 Mar '07

FOTD -- March 16, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a study in coloring, which is about the only thing it has going for it. The parent fractal was created by subtracting 0.5 part of Z^(2.1) from 0.5 part of Z^(-2.1) and then adding (1/C). This parent fractal is an oversized roughly circular area, filled with debris, with numerous Mandeloid-shaped holes scat- tered through the debris. Today's image is located in the East Valley area of one of the central smaller Mandeloids. Since I spent little time finding the image, I gave it no name, but I did spend extra time coloring it, so I decided to reward myself by rating it a 7. The calculation time of 2 minutes is well within reason. Also within reason is the minute or so required to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the image there. A cold rain on Thursday morning here at Fractal Central changed to flurries of wet snow in the afternoon. The fractal cats were more interested in keeping warm than in the outside weather. My day was once again busy, but it was not as busy as in recent weeks, and the hint of visible light at the end of the tunnel is getting a little stronger. The next FOTD is due in 24 hours. Until then, take care, and know that fractals are eternal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Mar_16_09 { ; time=0:02:02.20--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+0.19584563937095190/-0.527432214609222\ 10/3.820207e+009/1/-107.5/-0.00104974828485060456 params=-0.5/2.1/0.5/-2.1/0/0 float=y maxiter=500 inside=0 logmap=53 periodicity=10 colors=000000000000600C10I40P60V90aC1gE2mH5vH6yK8z\ OByVCz_DzO1zK2zG2yC2u84q64m64h85g85d85b96_96XB6UB8\ SC8PC8OC8SG6UK5XO4_S2bW2d_1gb0kf0nj0qn0sr0vv0yz0zz\ 0su0mn6fgD_`KSTQLMXFGc89j42o46q6Bq8EqAHqCLqFPqGTqI\ kzLkzMkzPkzQqzTuzUyzXzzZzzZzzZzzZzzZyzZyzZxzZvzZuP\ ZuLZtIZtEZtBZr8Zr4Zr1Xm0Xi0Wc0W_0UV0UQ0TL0TH0SC0S8\ 0T61SCvT68T6ET6MT6TU6_U6gU6nU6uGcuH`vH_vIZvIXvKWxK\ VxLTxLSxMQxMPyOOyOLyPKyPIzQHzQGzSEzSDzTCzTBzU9zU8z\ UzcUxfUtgUoiUkjUgkUcnU_oUXqUTrUPtULvUHxU1zU8zGEzIL\ zLSzOZzQdzTkz4rzDrzMrz4rz4rz6rz9rzArzDrzGrzHrzKrzM\ rzOrzQrzTrzqrzorznrzmrzkrzkrzjrzhrzgrzgrzfrzdrzcrz\ brzbrz`rz_rzZrzZrzXrzWrzUrz4rz4rz4rz5rz6rz8rz9rzAr\ zCrzDrzFrzGrzGrzHrzIrzKrzLrzMrzOrzPrzQrzSrzTrzUrzz\ rzzrzzrzzrzzrzyrzxrzurzsrzrrzorznrzmrzkrzhrzgrzfrz\ crzbrz`rzZrzXrzWrzHrzIrzIrzKrzKrzLrzLrzMrzMrzOrzOr\ zPrzPrzQrzQrzSrzSrzOrzMrz } frm:MandelbrotMix4 {; 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, 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 15-03-07 (FOTD for Mar 15, 2007 [No Rating)
by Jim Muth 15 Mar '07

15 Mar '07

FOTD -- March 15, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's harmless scene lies in the parent fractal that comes into being when the formula Z^(1.5)+C is calculated 85 levels up the complex logarithmic ladder. At this height the formula creates an indescribable Mandeloid rotated 180 degrees. Today's image is located in a disconnected filament just northwest of the main open area. Since I spent less than 5 minutes finding the image and less than 10 minutes working on it, I could not give it a name or rating. Basically, the image shows another of those fractured midgets that inhabit the fractals in the borderline area between Z+C and Z^2+C. The calculation time of 3-1/2 minutes is fair enough for this image of everyday quality. And to make things even more conven- ient, the completed image is posted for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An unusually warm day for the end of winter, with a high temper- ature of 73F 23C, was marred by light showers in the afternoon. Meanwhile, the fractal cats finally decided there was nothing hiding in the kitchen cabinets, and spent the better part of the day sleeping. I spent the better part of my day working. The work is finally slowing down, but still is well above average. The next FOTD will likely appear in 24 hours. If not, it will appear in 48 hours. Until that glorious moment, take care, and be generous with your fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Mar-15_07 { ; time=0:03:31.13--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.6398285138\ 8294900/+1.17265143805666000/2.111333e+010/0 params=1.5/0/85/0 float=y maxiter=5000 inside=0 periodicity=10 colors=000PbERZPVVbT0AM0AG0A0z00z72zCCzIOzPXzVfz`q\ zhzzmzzszzuzvvzsxzmzzizzdzz`zzXzzVzzTzzRxzOvzMuzKs\ zIqzEozCmzAkz8izCkzEmzGozKozMqzOszPuzTuxVvvXxuZzsb\ zqdzofzohzmbumXkmRbmMTmGMmACm52m00m00m00o00q00s00s\ 07u0Cv0Kv0Rx0Zz2fz5kz5sz7zz8zz8zsCzhGsXIiKM`8OR0RI\ 0T80X50`00d00f00i00m02o07s0Av0Ez0Gz0Kz0Oz0Rz0Tz0bz\ dfzihxmkmsmbvqRzsIzsIzsKzsKzsKzb00820zkz0700800A00\ C00E20G82IGR8uGEb5IM0M5zzC0P0z00z00xK5x`0ub2sdEqdO\ ofZmhif`Vidhkhsokzqozsqzxkzzfzzbzzhzxkzuoxqsvmvuiz\ sfzqIzzbzquqOzR0z`0zh8zoPzvdzzuzzzzzzzxxmko`Zd0000\ 00PMVRVXTT`VRdVPfXOiZMmhhuK0oZMomiozzvzzousioddiPZ\ 2Z0h0`fATdKObTIbbA`m5eu0mz0Vv2RqCPkKMfTK``GViOZuIT\ sEPqAKo7Gm0Ak07i00h00f00h80hI2iR5iP8mZ7ih5ho2fx0bz\ 0`z0Zz0XzAZqOZ```Mm`5zb0zb5zRKzOIzIIuEGkAGd7CXE8RM\ 2KT0E`07h00o00s80vG0z`0zT0zO0zI0sC0i70`07R05M0AI0E\ G2KC7OAAT8EX5Ib2Gm0Ki0Mf0 } 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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Light weight parameter
by Charles F Crocker 14 Mar '07

14 Mar '07

In the pursuit of an unrelated objective I ran across this pattern that I thought was interesting. Total calculation time is close to two seconds so it should provide a little easy diversion from more serious affairs. My formulas found their way into the Orgform collection some time ago but the formula file is included just to be sure it is available. I don't know how many pictures Fractint can produce but there surely is a different infinite number for each of us. Charles JuliaP { ; Try setting evolver to 5X5 and random mutation=.001 ; Fractint Version 2099 Patchlevel 8 reset=1821 type=formula formulaname=JuliaP passes=1 center-mag=5.55112e-017/1.38778e-017/8.226141/0.75 params=1.866694914/-4.5597550000000002e-006 float=y maxiter=255 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\ O<3>ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zVz<3>zV\ V<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00S<3>S0\ S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKK\ S<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3\ >G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G\ 8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBG\ GBFGBDGBCG000<6>000 } frm:JuliaP {;Julia form of Prop formula. Is almost Origin symetrical. c=P1 z=pixel: z=sqr(z); z=-z; z=conj(z); z=z+c, |z| <=4 }

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FOTD 14-03-07 (FOTD for Mar 14, 2007 [No Rating)
by Jim Muth 14 Mar '07

14 Mar '07

FOTD -- March 14, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's image combines negative Z^(1.1) with 2 parts of Z^(2). The parent fractal is a Mandelbrot set that has split apart on its negative X-axis, revealing the railroad-switching-yard pattern typical of this area of such fractals. The scene of today's image is located in the East Valley of a tiny midget near the split-apart negative X-axis. Actually, it's not a bad image, worth probably a 6 or 7 as these switching-yard images go, but I have given it no rating and no name. I just didn't put enough effort into it to name or rate it. The 4-minute wait while the parameter file calculates may be avoided by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Brilliant warm sun and a high temperature of 68F 20C made the end of winter feel like the middle of spring here at Fractal Central on Tuesday. The fractal cats were quite unhappy how- ever. They went to the doctor this morning for their annual shots, and they have been irritable ever since they got back. My day was busier than average but still slower than it has been for the past month or so. The next FOTD is due in 24 hours, and it might actually be ready on time. Until then, as you continue taking care, keep asking why. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_mar_14_07 { ; time=0:04:05.73--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.50519775570469930/+0.086388323700542\ 49/3333127/1/107.5/6.47714668823573536e-007 params=-1/1.1/2/2/0/0 float=y maxiter=1500 inside=0 logmap=119 periodicity=10 colors=000ECEIGIMKMQOQUSUYWYa_aeceheikhkmkmomoqoqs\ lzujzwdzxZzyTzwOzrKxnFpkBhf7`c2R`0KW0CT05P00L01I02\ F45C979H97MB4TC1ZF0dH0lK0sL0zO0zP0zR0zW0pZ4faBWfHM\ iOClU4pp0Zz0Iz0Ix0Rh5TcBTaHUaMU`KL`IKZHIZFHXEFXCEW\ BCW9BW89K78c57m45q24W19W0FzsLzk0zc0zW0zO0zH1z94s27\ k09h0Cd0Fa0IZ0LW0OT0RR0WR0ZR1aR7dRChRIkROnRTrRZuRd\ xRkzRrzRxzRzzRzzXzzaszlLRrOTuRUzUWzXXzZUzZRxZOwZLw\ ZIuZFsZCrZ9pZ7pZ4nZ1lZ0kZ0kZ0lc0nh2pl7rrCruHszLuzR\ wzWwz`lzadzaXsaPnaOlcMkcLicKicIhcHfcFfcEdcCccBac9a\ c8`c7Zc7Zc4W`2TX0PW0MT0KR0HO0EM0BK08I05F02E05H08K0\ BM1CP5FT9IUELXIM`MPcRTfWUhXPhXMhZIhZFh`Bh`8ha5ha1h\ c0hc0hd0hd0hf0hf0hF9F0900904H0BO1IW5Oc9WkEcsIkzMrz\ PkzzfzzazzWzzRzzMzzHzzCzz8zzFzzLzzTzzZzzdzzlzzszzz\ zzzzzzzzzzzzzzzzzuzzpzzkzzfzzazzXzzTzzOzzKzzFzzBzz\ 7zz4zz7zz8zzBzzCzzFzzHzzKzzLzzOzzPzzTzzUzzXzzZzzaz\ zczzazzazzazzazzazzazzazz } frm:MandelbrotMix4 {; 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, 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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GIF File Format
by Charles F Crocker 13 Mar '07

13 Mar '07

Thanks to all the people that apparently stay up all night working on fractals I can be more specific. The size of a GIF picture is the four bytes immediately after the GIF89a. If the picture was done and saved in the preview in V mode the size that shows is the actual size of the picture and the viewing program puts it where it wants to on the screen. Here is the problem I am seeing with Fractint 99. Using R to display an old 640 by 480 file the a line on the mode select screen says nonstandard aspect ratio. Then selecting the 640X480 GDI mode and the screen showing warning about the v mode shows up. Proceed and the picture fills the window. Save this and the new file still shows as 640X480. Do a routine mandelbrot scan and the x axis is obviously squashed. Save this and the picture is still 640X480. Because Fractint 99 can't cope with the v mode I am at a loss as to where to look next. Charles

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FOTD 13-03-07 (Pebble in the Pond [Rating 9)
by Jim Muth 13 Mar '07

13 Mar '07

FOTD -- March 13, 2007 (Rating 9) Fractal visionaries and enthusiasts: For a change, today's image most definitely does deserve both a name and a rating. I named it "Pebble in the Pond" for obvious reasons, and rated it at a 9. No special formula was needed to create the effect of ripples on a pond. It was all done with nothing more than old-fashioned equal iteration bands and clever coloring. Finding a real fractal that looks like rippling water is far more satisfying, at least to me, than writing a formula that creates artificial ripples in any image. What we have in the image is the familiar Seahorse Valley of the classic Mandelbrot set. I realize that nothing even vaguely resembling either the valley or its Julia set appears in the image, but this is a view of the valley from an entirely new and unimaginable direction, and four-dimensional thinking is needed to visualize what is going on here. I'll not get into a lengthy discussion of the fourth dimension at this time. I have discussed this mathematical abstraction at length numerous times in past FOTD's. But one thing for certain is that the image is lightning fast, and will finish in only a few seconds. Considering its rating of a 9, this is the best FOTD value in many weeks. Those who do not render may see the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With enough sun and a temperature of 57F 14C, the weather outside was delightful here at Fractal Central on Monday, but the fractal cats did not notice. They were more interested in something they seemed to hear around the kitchen cabinet. I heard nothing, but the hearing of a cat is very sharp, and they might have heard a mouse or something in the woodwork. They must still remember the mouse that came out of the hole by the radiator in the hall last autumn. My day was once again quite busy, but hopefully, the end is in sight. There is no guarantee however. The next FOTD is due in 24 hours. The big question is whether it will appear when it is due. Until that mysterious moment arrives, take care, and when wondering about the great mysteries of life, don't ask what or when -- ask why. That is the real and most difficult question. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pebble_in_the_Pond { ; time=0:00:29.96--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new center-mag=0/-0.130\ 564/2.314276 params=90/40/2/0/0/0/-0.75/0 float=y maxiter=100000 inside=255 symmetry=yaxis logmap=yes periodicity=10 colors=000Q0hR2iS5jT8kUPnVSmWTnXVoYXpZZq_`r`bsadtb\ fuchvejwfkwglxfkzekwdjvciubhtagrafq`ep_doZcnYbmXak\ X`jW_iVZhUZgUYgTXfSWdRVcRUbQTaPS`OR_NQYMPXMPWLOVKN\ UJMSILRHKQGJPGIOFHNEGLDFKCEJBDIBCHABG9AE89D78C67B5\ 6A55944733622511400320640860A80AA09C09E08G07I07K06\ M36O65Q94SB4U93X83_62b41e31h10g6Ie5Hc5Hb5H`5G_5GY5\ GY5GX5FW5FW5FV5FV4EU4EU4ET4ET4DS4DR4DR4CQ4CQ4CP4CP\ 3BO3BO3BN3BM3AM3AL3AL3AK39K39J39J39I28H28H28G27G27\ F27F27E26D26D26C26C15B15B15A15A1491481481371371361\ 3602502502402301301201201100100000zzQnzmmzmlzmkzmj\ zmizmgpMfoLemKdlKcjJbiJahI_fIZeHYdGXbGWaFV_FTZESYE\ RWDQVDPUCOSBNRBLQAKOAJN9IL9HK8GJ7EH7DG6CF6BD5AC59A\ 4893683562452341221110ry`pw_ovZntYlsXkqWjpVinUgmUf\ lTejSciRbgQafP`dOZcOYaNX`MV_LUYKTXJSVIQUIPSHORGNPF\ LOEKNDJLCHKCGIBFHAEF9CE8BC7AB68A678567455334222111\ 0ENuDMsDLrL4dL4dL3eL3ezzz } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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