November 2008 - Fractint - mailman.xmission.com

FOTD 12-11-08 (Mystical Minibrots [8.5])
by Jim Muth 12 Nov '08

12 Nov '08

FOTD -- November 12, 2008 (Rating 8.5) Fractal visionaries and enthusiasts: Yes, there is a minibrot in the lower part of today's image, and there is a less obvious upside-down cubic bud in the upper part. And this has anything to do with the number of iterations a par- ticular point takes before reaching an arbitrary distance from the origin. Escape time is not involved in the image because it consists entirely of trapped points that have been made visible by the 'bof60' inside fill, which colors the points according to how close to the origin they come in their trapped wanderings. The most amazing thing is that the small Mandelbrot set and the ghostly cubic bud are actually there at all. The more I work with fractals, the more I come to see the Mandelbrot set as a universal presence, created in potential by mankind when he invented and defined complex numbers. With all this in mind, I named today's image "Mystical Mini- brots". Of course, only one obvious minibrot exists in the image, but I see other brilliant yellow points scattered about. Could these be other minibrots? Only a further investigation will tell. The rating of an 8-1/2 includes a self-awarded half point for the effort I expended in getting smooth gradation with only 256 colors. The calculation time of 3-3/4 minutes is extrapolated from the 14 minutes the image took to run on the P200 machine. The 2000mhz unit is still out of action. The image may also be seen and hopefully enjoyed by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it without effort there. Leaden gray skies and a chilly temperature of 43F 6C made Tuesday a rather forgettable day here at Fractal Central. The fractal cats again complained when the sun failed to appear as scheduled on their shelf in the southwest window. I eased my own gloom by treating myself to a genuine New York egg cream. The next FOTD will be posted in 24 hours, a fact that hardly needs to be repeated. Until that (IMO) wonderful moment, take care, and choose wisely. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mystical_Minibrots { ; time=0:03:45.72-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot5 passes=t periodicity=10 center-mag=-2.5071809/0/91.53/1/-90/0 params=-3/100 float=y maxiter=1000 inside=bof60 logmap=yes colors=000zzzzqmzjcreUmZEcVEUSEOODKMDKLDKMEKKQFFXA\ Ac55j65j76j86j97jA7jB8jC8jD9jE9jFAjGAjHBjIBjKCjLDj\ MEjNFjOGiPHhQIgRJfSKeTLdUMcVNbVOaUP`UQ_URZUSYTTXTT\ WTTVSTUSTTSTSSTRRTQRTPRTOQTNQTMQTLPTKPTJPTIPTHOTGO\ TFOTENTDNTCNTBMTANS9NSANSBNRDNREOQFOQHOPIOPJOOKPOM\ PNNPNOPMQPMRPLSQLTQKVQKWQJXQIZRI_RH`RHaRGcRGdRFeSF\ gSEhSEiSDjSDlTCmTCnTBpTBqTArTAsSBrSCrRDqREqRFpQGpQ\ HpPIoPJoPKnOLnOMnONmNOmNPlMQlMRlMSkLTkLUjKVjKWiKXi\ JYiJZhJ_hI`gIagHbgHcfHdfGeeGfeKheQjdWldancgpcmqchk\ `c`YURVKHSL9PM1MN2NN2NN2NN2NN2NN3NN3NN3NN3ON3ON3ON\ 4ON4ON4ON4ON4ON5PN5PN5PN5PN5PN5PN6PN6PN6PN6QN6QN5P\ N4OL3NI2MF1ID0FA0A505000N8RN8RN9RN9RN9RN9SN9SN9SNA\ SNASNASNASNASM9RNASNBSOBSOCTPCTPDTQDTQEURFURFURGVS\ GVSHVTHVTIWUJWUJWVKWVKXVLXWLXWMYXNYXNYYOYYOZZPZZPZ\ ZQZ_R__R_`S_`S`aT`aT`bU`bVacVacWacWbdXbdXbeYbeZcfZ\ cf_cg_cg`dg`dXVEXVEXVDXVD } frm: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 } END PARAMETER FILE=========================================

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FOTD 12-11-08 (Mystical Minibrots [8.5])
by Jim Muth 12 Nov '08

12 Nov '08

FOTD -- November 12, 2008 (Rating 8.5) Fractal visionaries and enthusiasts: Yes, there is a minibrot in the lower part of today's image, and there is a less obvious upside-down cubic bud in the upper part. And this has anything to do with the number of iterations a par- ticular point takes before reaching an arbitrary distance from the origin. Escape time is not involved in the image because it consists entirely of trapped points that have been made visible by the 'bof60' inside fill, which colors the points according to how close to the origin they come in their trapped wanderings. The most amazing thing is that the small Mandelbrot set and the ghostly cubic bud are actually there at all. The more I work with fractals, the more I come to see the Mandelbrot set as a universal presence, created in potential by mankind when he invented and defined complex numbers. With all this in mind, I named today's image "Mystical Mini- brots". Of course, only one obvious minibrot exists in the image, but I see other brilliant yellow points scattered about. Could these be other minibrots? Only a further investigation will tell. The rating of an 8-1/2 includes a self-awarded half point for the effort I expended in getting smooth gradation with only 256 colors. The calculation time of 3-3/4 minutes is extrapolated from the 14 minutes the image took to run on the P200 machine. The 2000mhz unit is still out of action. The image may also be seen and hopefully enjoyed by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it without effort there. Leaden gray skies and a chilly temperature of 43F 6C made Tuesday a rather forgettable day here at Fractal Central. The fractal cats again complained when the sun failed to appear as scheduled on their shelf in the southwest window. I eased my own gloom by treating myself to a genuine New York egg cream. The next FOTD will be posted in 24 hours, a fact that hardly needs to be repeated. Until that (IMO) wonderful moment, take care, and choose wisely. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mystical_Minibrots { ; time=0:03:45.72-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot5 passes=t periodicity=10 center-mag=-2.5071809/0/91.53/1/-90/0 params=-3/100 float=y maxiter=1000 inside=bof60 logmap=yes colors=000zzzzqmzjcreUmZEcVEUSEOODKMDKLDKMEKKQFFXA\ Ac55j65j76j86j97jA7jB8jC8jD9jE9jFAjGAjHBjIBjKCjLDj\ MEjNFjOGiPHhQIgRJfSKeTLdUMcVNbVOaUP`UQ_URZUSYTTXTT\ WTTVSTUSTTSTSSTRRTQRTPRTOQTNQTMQTLPTKPTJPTIPTHOTGO\ TFOTENTDNTCNTBMTANS9NSANSBNRDNREOQFOQHOPIOPJOOKPOM\ PNNPNOPMQPMRPLSQLTQKVQKWQJXQIZRI_RH`RHaRGcRGdRFeSF\ gSEhSEiSDjSDlTCmTCnTBpTBqTArTAsSBrSCrRDqREqRFpQGpQ\ HpPIoPJoPKnOLnOMnONmNOmNPlMQlMRlMSkLTkLUjKVjKWiKXi\ JYiJZhJ_hI`gIagHbgHcfHdfGeeGfeKheQjdWldancgpcmqchk\ `c`YURVKHSL9PM1MN2NN2NN2NN2NN2NN3NN3NN3NN3ON3ON3ON\ 4ON4ON4ON4ON4ON5PN5PN5PN5PN5PN5PN6PN6PN6PN6QN6QN5P\ N4OL3NI2MF1ID0FA0A505000N8RN8RN9RN9RN9RN9SN9SN9SNA\ SNASNASNASNASM9RNASNBSOBSOCTPCTPDTQDTQEURFURFURGVS\ GVSHVTHVTIWUJWUJWVKWVKXVLXWLXWMYXNYXNYYOYYOZZPZZPZ\ ZQZ_R__R_`S_`S`aT`aT`bU`bVacVacWacWbdXbdXbeYbeZcfZ\ cf_cg_cg`dg`dXVEXVEXVDXVD } frm: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 } END PARAMETER FILE=========================================

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FOTD 11-11-08 (Out of Order [6])
by Jim Muth 10 Nov '08

10 Nov '08

FOTD -- November 11, 2008 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a mathematical mystery, even if not an artistic wonder. The first parameter of the formula is 19, which should result in midgets of order 19. Such midgets have 18 lobes, but in today's huge central midget I count 37 lobes, and the lobes on the upper right shore line of the midget are strangely doubled, so that it is impossible to say exactly how many lobes are in this supposed minibrot. There is no problem in the surrounding circular midgets. They all have 18 lobes like a well-behaved minibrot of order 19 should. Most likely, today's central midget is actually a merging of 2 or more proper order-19 midgets, but if it is, I have not found the place where they merge. At any rate, the image has a certain abstract symmetrical simplicity about it, which earns the rating of 6. The parent fractal resembles a Mandelbrot set with rounded features. Today's scene is located in the suburbs of a smaller midget just east of the largest midget on the rudimentary main stem of the parent. The name "Out of Order" refers to the wrong number of lobes in the minibrot. The calculation time of 1-1/2 minutes will cause no one any heartache. And as always, the already calculated image is posted on the FOTD web site for instant viewing at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Dark lumpy clouds, (strato-cumulus), blustery winds and chilly temperatures made Monday of questionable worth here at Fractal Central. Not only did the temperature of 43F 6C make the fractal cats unhappy, the lack of afternoon sun shining through the southwest window kept them unhappy. With more than enough work to get out of the way, I had no time to be unhappy about the outside conditions. Unless something unexpected arises, as it sometimes does, the next FOTD will be posted in 24 hours. Until then, take care, and forget the boring 'real' world of reason. Live in the imaginary world of fantasy instead. Skeptics don't approve of this but it's a lot more fun. And if you believe in fantasy hard enough, it can become as real as the chair you are sitting in. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Out_of_Order { ; time=0:01:29.69-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot5 center-mag=-5.077610928161702/+0.001263530929175/\ 1.070948e+008/1/-167.5/0 params=19/3 float=y maxiter=2400 inside=0 logmap=159 periodicity=10 colors=000KDEJEFIEGHEHGEIFDJECKDAKC9KB7KA7Ka2dz6Yz\ cSzcMzIFzM9w3lmP0eQ1aQ1bQ1bQ1cQ1cQ2dQ2dQ2eQ2eQ2fQ3\ fQ3gQ3gQ3hQ3kv0js1jp1jm1jk1ih2ie2ib2i`2hY3hV3hS37E\ p9FmBGkDGhFHfHHdIIaKI_MJXOKVQKTRLQTLOVMMXMJZNH_OEa\ OCcPAeP7gQ5tUhsTfrTdrTbqT`qTZpSYpSWoSUoSSnSQnSOmRN\ mRLlRJlRHkRFkRDjQCjQAiQ8iQ6hQ4r_qqZmpYioXfoXbnWZmV\ WmVSlUOkTLjSHjSDiRAhQ6LV3OU3RT3TT3WS3ZS3`R3cR3fQ3c\ D1dE2dF2dF2dG2eG2eH2eI2eI2fJ2fJ2fK2fL3fL3gM3gM3gN3\ gO3hO3hP3hP3hQ31M85N79N7DO6HO6LO5PP5TP4XP4`Q3dQ3Kj\ gOgaRdXUbSX_N_XIbVDeS82FK5GU7Hc9HmBIzDIzFJzIJzKKzM\ KAOL9QM8SM8UN7XN6ZO6`O5bP4dP4fQ3Vx3Wv3Xt3Yr3Yp3Zn3\ _l3`k3`i3ag3be3cc3ca3z`3zZ3zX3zV3zS3zV3zZLzcJzhIzm\ HzrGzvFzzDzzCzzBzzAzz9zz7zz6zz5zz4zzRzzPzzOzzNzzMz\ zLzzKzzJzzIzzHnzGmzFmzElzDlzCkzBkzAjz9jz8iz7iz6hz5\ hz4FzOHzMJzLLzJNzIPzHRzFTzEVzCXzBczedzcdzadz`dzZez\ XezWezUezTezRfzPfzOfzMfzK } frm:DivideBrot5 { ; Jim Muth z=0, c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 10-11-08 (Mandel What is It [No Rating])
by Jim Muth 10 Nov '08

10 Nov '08

FOTD -- November 10, 2008 (No Rating) Fractal visionaries and enthusiasts: Today's image shows a minibrot on the eastern side of the north branch of Seahorse Valley of the Hyper-Mandelbrot set. So far, so good. We've seen many minibrots in Seahorse Valley. But today's minibrot is truly different. It is not empty on its inside. Instead of the expected blank interior, the minibrot is filled with a spidery network of very high iteration arms. The image was created by the HyperMandelbrot formula, which is a generalization of the type=hypercomplex formula. I am not sure if the arms inside the minibrot are real or if they are arti- facts, since it seems quite unlikely that a value as tiny as the 10^-150 of the real(p3) parameter could make such a difference in the appearance of a minibrot. But there it is in the image, and it behaves as though it is real. I named the image "Mandel What is It" but gave it no rating. It's kind of hard to give a name to something I know nothing about. The calculation time of 4-1/4 minutes will cause no pain. The finished image is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Brisk winds, dark gray clouds and a chilly temperature of 48F 9C made the outdoors unpleasant here at Fractal Central on Sunday. The fractal cats complained about the failure of their afternoon sun to appear. My day was uneventful, which is how I wish more days would turn out. The next FOTD will be posted in 24 hours. Until then, take care, and do it quickly. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_What_Is_It { ; time=0:04:15.44-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-0.748577741895/+0.06049221491/1466442/\ 1/-57.5/0 params=0/0/-4.6/0/1e-150/0 float=y maxiter=1500 inside=0 logmap=-464 periodicity=0 colors=000PcCPc9Pc8OY7FK66546C9PSwPUxVVs_WneXjjXep\ YauZXzZTraXkd`cfdXigPlkInoAqs3sv4ba4MH7RN6RV4Rb2Rj\ 0QsLNseJteOoeTjeYeeb`egWfmRYhNOcIEZE4U9AQIGMRMH_SD\ hY8qUFrPNsLVtGbuCjv7rw2zx9iwGTuOCsMLfKVUHdGF_FDVDB\ QC9LA7G95B7265B7ML8cIDbEIaAO`6T_2ZZ9V_GQaNMcUHd7jm\ DkhIldOn_UoVZpRYjVXeZW`bVWfURjTMmjxYbn_WeaPWcINdHK\ eGHfFDhEAiD7jG8lJ9mMAnPBoSCpVDrYEs`FtcGufGvdJrcMoa\ Pl`RiZUfYXcW_`VaYTdVSgSRiPOgLMfIKeFIdCFb9Da6B`39_0\ D`1Ha1Lb1Pc1Td1Xe1_e2cf2gg2kh2oi2sj2vj2j_RZPoYQpXR\ pXSpWTpWUpVVpVWpUXpTYpTZpS_pS`pRapRapLhjGoeBv`FmVJ\ ePMXJQPDTH8SJBRKDQLGPMIONLNPNMQQMRSLSVKTXJV_IWaHXd\ GYfGZhL_cQ`ZV`U_aPdbKibFncAsd5xd0va5tZAsWEqTJpQNnN\ SmKWkH`jEdhBig8me5rd3vf8ohDijHblMXnQQpVKrZDtc7ug1p\ e7ldDhbJdaO`_UXZ_TYdPUZLQUHNPKmJKaEKQ9KK4GP8TPCeKG\ q0Kr6LzCLsHLoNLoTLoYLl_LhaMdcM`fNaiNblNdoNerNgzOcz\ PzzRzzTzzRzzOzzMzzJzzHzzE } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] NOVA fractal program
by JackOfTradeZ＠comcast.net 09 Nov '08

09 Nov '08

. I cant play it online. The sound comes but the video freezes. Must be an internet thing. I'll just wait and order the DVD ... .

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FOTD 09-11-08 (To the Point [No Rating])
by Jim Muth 09 Nov '08

09 Nov '08

FOTD -- November 09, 2008 (No Rating) Fractal visionaries and enthusiasts: The lateness of today's FOTD tells that things were busy here at F.C. on Saturday, as a couple more customers called in, needing quick changes on their jobs as a result of the recent election. This left but little time for work on the glorious (IMO) FOTD. I could give today's image no rating because it's not a finished image, it's only a study in getting a smooth color gradient from a palette of 256 colors. But the result turned out good enough to qualify as the FOTD for November 9. The image shows parts of both Seahorse Valley and East Valley. The solid area at the left is part of Seahorse Valley of the Mandelbrot set, while the sharp spike shooting in from the right and stabbing into Seahorse Valley is actually a part of the East Valley of a second Mandelbrot set, which partially overlaps the first M-set. The 2 overlapping M-sets form a four-dimensional unit that can be explored in limited orientations by the hypercomplex formula. There are entries for four parameters in the formula, but only the last two have any effect on the image. Apparently the form- ula is still in an unfinished condition. But finished or not, the formula creates some images that can be quite unusual, with elephants eating seahorses, and minibrots filled with smaller minibrots. I have written several formulas that are supposed to expand the range of the hypercomplex form- ula, though they produce such weird results that I'm not sure exactly what they do. The name "To the Point" refers to the point of East Valley jabbing into Seahorse Valley from the right. The calculation time of 2 minutes will cause no impatience. And the finished image will soon be posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> but due to the odd hour of this posting, there may be a delay of several hours before Paul gets it calculated and posted. Early morning rain was followed by afternoon sun here at Fractal Central on Saturday. The fractal cats enjoyed the sun to the maximum. The temperature rose to 64F 18C by 2pm, but by sunset, just before 5pm, it had dropped to 52F 11C. As stated earlier, my day was busier than expected. The next FOTD will be posted in around 12 hours. Until then, take care, and wait for the new world with bated but not abated breath. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= To_the_Point { ; time=0:04:45.54-SF5 on P4-2000 reset=2004 type=hypercomplex function=sqr passes=t center-mag=-0.24440456/+0.04924533/207.7403 params=0/0/0.05/0.5 float=y maxiter=5000 inside=0 logmap=28 periodicity=10 colors=000jUKkULlUMmUNnUOoUPpUQqURrUSsUTtUUuUVvUWw\ UXxUYxUXxVYwWYvXXvYXuZWt_Wt`VsaVraUraUqaTp`Tp_SoZS\ nYRnXRmWQlVQlUPkTPjSOjROiQNhPNhNMgMMfLLfKLeJKdIKdH\ JcGJbEIbDIaCH`BH`AG_9GZ8F`6GZ7FY7FX7FW7FU8FT8FS8FR\ 7ER8FR9GRAHRBIRCJRDKRELREMRFNRGORHPRIQRJQRKRRLSRLT\ RMURNVROWRPXRQYRRZRS_RS`RTaRUaRVbRWcRXdRYeRZfRZgR_\ hR`iRajRbkRclRdmRdmVhaZlRbpGes5du3dw1ct4br7apA`nD_\ lGZjJYhMXfPWcSVaVU_YTY`SWcRUfQSiPQlQNnPOoPPoPQoPRp\ PSpOSpOTpOUqOVqOWqOWqNXrNYrNZrN_sN`sM`sMasMbtMctMd\ wLfzMdzNbzOazP_zQYzRXzSVzTTzUSzUQzVOzWNzXLzYJzZIz_\ Gz`EzaDzbBze8zbAz`BzZCzXEzUFzSGzQHzOJzMKzJLzHNzFOz\ DPzCSzBQzBPzBOzANzAMzALz9Kz9Iz9Hz8Gz8Fz8Ez7Dz7Cz7A\ z69z68z67z56z55z54zTKzpZzn_zl`zkazibzhczfdzeezcezb\ fz`gz_hzYizWjzVkzTkzSlzQmzPnzNozMpzKqzJqzLqzNqzPqz\ RqzTqzVqzXqzZqz`qzbqzdqzfqzhqzjqzlqznqzpqzrqzvxzsq\ zwmzpjzigzbdzWbzP_zIXzBUz } END PARAMETER FILE=========================================

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FOTD 07-11-08 (Totally Chaotic [No Rating])
by Jim Muth 07 Nov '08

07 Nov '08

FOTD -- November 07, 2008 (No Rating) Fractal visionaries and enthusiasts: Because of a lack of time, today's hasty image, for what it is worth, is presented without comment. Due to the calculation time of just under 14 minutes, I recommend viewing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An unusually mild temperature of 68F 20C was spoiled by clouds here at Fractal Central on Thursday. The fractal cats slept through it all. With a big rush expected on November 7, there will be no FOTD for November 8. The FOTD for November 9 will be posted on schedule. Until then, take care, and be at ease. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Totally_Chaotic { ; time=0:13:51.90-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.052763137/-1.438769024/27360/1/-77.5/0 params=-4.4/-1.4/-1.4/-4.4/0.6/50000/0/0 float=y maxiter=2000 inside=zmag periodicity=10 colors=000XSaVT`UT_cC3dD4eD5eD6fD6gD7gE8hE9hE9iEAj\ EBjFCkFClFDlFEmFFmFFiYLgWMfVMeUNcTNbSNaRO_QOZPOYNP\ WMPVLPUKQTJQRIQQHRPGRNFRMDSLCSJBSIATH9TF8TE7UD6UC5\ UB7VB9VBBVADVAFWAHW9JW9LW9NW8PX8RX8TX7VX7XY7ZY6`Y6\ bY6dY5fZ5hZ5jZ4lZ4n_4p_3r_3t_3v_5tZ6sY8qX9pWBoVCmU\ DlTFjSGiRIhQJfPLeOMcNNbMPaLQ_KSZJTYIUWHWVGXTFZSE_R\ DaPCbOBcMAeL9fK8hI7iH6jG6`NHSTSIZb9dl8ek8ek8fj8fj8\ gj8gi7hi7hi7ih7ih7jg7jg6kg6kf6lf6lf6me6me5ne5nd5od\ 5oc0000000004qb4rb4ra4sa4sa6t_7tZ8tYAtXBtWCtVEtTFu\ SGuRIuQJuPKuOMuMNuLOuKQvJRvISvHUvFVvEWvDYvCZwB_wAa\ w8bw7cw6ew5fw4gw3hv4hv4hv5hu5hu6hu6iu7it7it8it8it9\ is9jsAjsAjsBjrBjrCjrCkrDkqDkqEkqEkqFkpFlpGlpGlpHlo\ HloIloIloIknKknLkmNkmOkmQklRklSkkUkkVkkXkjYkj_kj`k\ iakickhdkhfkhgkgikgjkfkkfmkfnkepkeqkerifshgsggsfhs\ eisdiscjsaks`ks_lsZmtYmtXntWotUotTptSqtRqtQrtPstOs\ tPsqPsoPsmQsjQshQsfRscRsa } 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 06-11-08 (Incomprehensibilities [6])
by Jim Muth 06 Nov '08

06 Nov '08

FOTD -- November 06, 2008 (Rating 6) Fractal visionaries and enthusiasts: Things were quite busy here at FC on Wednesday. Several jobs that were waiting for the results of the election needed to have the blanks filled in and finished fast. But in the end all was worked out and delivered to everyone's satisfaction. The image of the day is a nondescript scene in the parent fractal that results when 1.8 parts of Z^5 is subtracted from 3 parts of Z^3. This parent is absolutely humongous in size -- too large to fit onto the screen even at the least available magnitude. It consists mostly of oval holes, but a distorted Mandelbrot set lies not too far from the origin, and today's scene is located in some extra stuff extending east from the East Valley of this M-set. I named the image "Incomprehensibilities" because the parent fractal is one of the largest in FOTD history, and the word 'incomprehensibilities' is the longest word I knew how to spell in the third grade at Saint Martin's Elementary School. It also happened to be the longest word that any student in Sister Andera's class knew how to spell. (Apparently no one knew the word 'antidisestablishmentarianism', which, BTW, I now doubt is the longest real word in the English language.) The calculation time is 1-1/4 minutes -- fast enough to make running the included parameter file worth the effort. Viewing the completed image on the FOTD web site takes even less effort. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Clouds and mild temperatures made Wednesday fair enough here at Fractal Central. The fractal cats were too distracted by foraging squirrels to notice that, even though the temperature reached 63F 17C, their afternoon sun was missing. I was too distracted by FL's enthusiasm to notice that the sun was missing. The next FOTD will be posted in all of 24 hours. Until then, take care, and only my humility keeps me from telling how great I am. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Incomprehens-etc { ; time=0:01:14.76-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-3.960133085501834/+0.0473117827526381/\ 1646927/1/80/0 params=3/3/-1.8/5/0/0/0/0 float=y maxiter=1500 inside=0 logmap=75 periodicity=10 colors=000YcrZds_et`fuagvbhwcixdjyelwfnwgpwhrwitwj\ vwUaPU_POWOGRN8LM0GL7LJDPHJUFPYEVbC`gAfk8lp7oscP`L\ EVSLZRSbQZfPejPlnOsrNzzNueMnYMXMLNALQFQSJVUO_XScZX\ h``mbdqKlz2tz8zzDfhJ_hOThUMhZFhd8hi1hg8bfFXdMRcTLa\ _F`f9_m3T_NNMeH8xAuwHsjNrZTzNVjPXcQZYS`RTbKVcEWgMb\ jThm`npgtodunavmZvlWwkTwjQxjOxoXytdzxlzajhFhSJiQNj\ PRjNVkMZlKblJfmHimGehMadRZ_WVW`SSeQQhOPjNOlLMoJLqI\ KsLPmNUgPYaRbWTgQVkKXpEZt9`VRa6gbJacVWcfRLdrk6pg9l\ cBh_DdWGaSIYOKUKMREPT8SU2VV3WW3XX3YX3YY4ZZ4_Z4`_4`\ _BbWIcSPdPWfLbgHhhExy2svAosIkpQgnXckd_hlWfsSelPdfL\ d_IcUEcNBbH8bBDaJI`QN_XRZcWYj`XqdWxZQqTLkNUeHc_BcU\ 6cOAcNDcMHcLKgKNrKKtHHuEEvBBw88x5zozzpzzqzzrzzszzt\ zzu`zvbzwezxzzyzzzzzzzzzzzzYzzQYzIezAmz2`zFPzSCzd0\ zqAzrJzsSzt`ztRzsIzr9zq0zp7ziEzbLzXRzQYzJdzDkz6qz0\ 6zREzNLzJSzFMzGHzICzJNzILzJJzJHzJFzJDzKBzK9zKDzCCz\ EBzFAzGgzVfz_ezddzicznbzr } 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 05-11-08 (Ring of Butterflies [No Rating])
by Jim Muth 05 Nov '08

05 Nov '08

FOTD -- November 05, 2008 (No Rating) Fractal visionaries and enthusiasts: Looking at today's image, I see a ring of arctangent butterflies fluttering around the central minibrot, which is why I named the image "Ring of Butterflies. The parent fractal is a grossly overblown and out-of-proportion Mandelbrot set with a vast emptiness where its East Valley should be. Today's image is located on the southern shore line of the main bay, rather near the edge of the emptiness. Since I put so little effort into the image, I did not feel it was worth a rating, so I gave it none. But even an unrated FOTD is worth the short trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the image posted there already calculated. Those who decide to bite the bullet and run the included parameter file can expect a wait of a mildly dragging 3-3/4 minutes. Persistent clouds and a temperature of 61F 16C kept things within the comfort zone here at Fractal Central on Tuesday. The fractal cats were more concerned with two stray cats wandering about in the yard. When the voting was accomplished, (Thanks to FL's nagging, I finally did decide to vote.), my day was fair enough. The next FOTD will be posted in 24 hours. Until then, take care, and may the better man win. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ring_of_Buterflies { ; time=0:03:45.72-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot5 passes=1 center-mag=+118.916225137266/-30.13184975452475/\ 83775.68/1/32.5/0 params=1/150 float=y maxiter=2400 inside=0 outside=atan periodicity=10 colors=000TBaWCfYAQ_89a9Ac9Ad9Bf9Bg9CiACjADlADmAEo\ AEpAElCHhDKdFN`GQXISTJVPLYLM`HObDPe9Rh5Sk1TmAJiJ9e\ S0aQ1_O2ZM2YK3XI3VG4UE5TC5SA6Q86P67O57NABPEERIHSMK\ URNWVQXZTZbW_PkcUefZ`ibVlgQnlLqpFtuAwy5ys4tn4oi4kc\ 4fZ4aU4YP4TJ4OE4K94F44B56A6897A88C79E6AG5BH5CJ4DL3\ EN2FP1GR0GS0QTAZUJhVSqV`pTYoRWoQTnORnNOmLMmKJlIHlH\ EkFCkEAlH9mK9nN9nP9oS9pV9pY9q_9rb9re9sh9tj9tm9up9v\ s9vu9rtDotGltJhtMetPbsS_sVWsYTs`QscNsfLqcKo`JmYHkV\ GiSFgPDeMCcJBaGA`ED_NFZWIYdKYmJTdIOXHJOGEGF98JAENA\ KRAQNIVKP_GWdDbiAin9hl8hk7hi6hh5hf4he3hc2hb1ha4eZ7\ cWAaTD_QGXNJVKLTHOREROBUM8XK5_I2aG0`I4`J8`KB`LF`MI\ `OM`PQ`QT`RX`S_aUYaVWaXUbYSb_Qb`ObbMccKceIcfGchEdi\ CdkAdl8dm7fk8gi9hgAifBjdCkbDlaEm_FnYGoXHpVIqTJrSKp\ QMnONlNPkLQiJSgITeGVdEWbDY`BZZ9`Y8aW6cU4dT3eU4gV4h\ W4iX4jY4kY4mZ4n_4o`4pa4qa4sb4tc4ud4ve4we4xc5ua5s_5\ pZ5nX6kV6iT6fS6dQ7aO7_M7X } frm:DivideBrot5 { ; Jim Muth z=0, c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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NOVA fractals
by Vortex Swirling 04 Nov '08

04 Nov '08

>thanx for the heads-up vortex but too freakin' late! >it aired on oct 28 > >I HATE it when that happens! As mentioned already, it is on line. Here it is in chapter format. http://www.pbs.org/wgbh/nova/fractals/program.html I recorded it. PBS tends to replay the current episode many times during the week. Around here it is still on the listings. I was most interested in the scientific community's reaction Benoit Mandelbrot's discovery. At the time he presented, it was widely believed that the Mandelbrot fractal was an computer "artifact". If anyone bothered to read more than the first page of the paper they'd see that it is a graph of the bailout of a recursive algorithm. What does belief have to do with science, especially math in science? By the fractal patterns shown clearly had nothing on JOT's movies. Nor any mention of Fractint, which could have deserved at least a sentence, or a cameo. They must have spent 5 minutes of it on this *esoteric* "fractal pattern clothing". Roger

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