May 2009 - Fractint - mailman.xmission.com

FOTD 17-05-09 (Sincerely Segmented [7.5])
by Jim Muth 17 May '09

17 May '09

FOTD -- May 17, 2009 (Rating 7.5) Fractal visionaries and enthusiasts: I did go on an antiquing expedition with FL on Saturday, but we arrived back at FC by 4pm, in plenty time for a hasty fractal search. I chose to search the fractal that results when 0.4 part of Z^(-0.8) is subtracted from Z^2, and (1/C) is added. Today's high-magnitude image with its floating citrus-like segments lies in this fractal, which consists of a Mandeloid bay with two large buds, surrounded by a huge spider-like network. The scene is located on a filament near the southwest shore line of the main bay of the Mandeloid. Not surprisingly, the filament is sprouting citrus segments like those in the image. I named the image "Sincerely Segmented" when the segments sincerely reminded me of a peeled orange. The rating of a 7-1/2 owes 1/2 point of its value to the coloring work. The calculation time of 1-2/3 minutes on the 2000mhz machine is about the same time it takes to surf to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and gaze in awe and wonder at the finished image posted there. Saturday began with low clouds here at Fractal Central. The clouds cleared out by 10am, leading to a sunny, humid afternoon in central Pennsylvania with a temperature of 82F 28C and occa- sional showers. The showers culminated in a brief but noisy and gusty thunder-storm at FC at 6pm, followed by a cloudy and pleas- antly cool evening. The fractal cats took most of it in stride, but grew a bit wide-eyed when the thunder crashed too loud. My day was fair enough despite the antiquing trip. I think I'm actually starting to appreciate these trips. The next FOTD will be posted in 24 hours. Until then, take care, and wait for the best that is yet to come. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SincerelySegmented { ; time=0:01:42.10-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.000125895457505/-0.1044759082479428/\ 1.01995e+013/1/-24.5/0 params=1/2/-0.4/-0.8/0/0/0/0 float=y maxiter=1200 inside=0 logmap=133 periodicity=10 mathtolerance=0.05/1 colors=000_XaZW`YV_XUZWTYVSXURWTQVSPUROTQNSPMROLQN\ KPMJOLHNKGLJEJIDHHBFGADF8BC8ABC9AF99I98L98P87T8KX8\ U`8zd8zm7zr7zu7zz7zn7UjLKgZKdzIbzHarG`nFXmEWhDUfCT\ eBQcANd9Je8IeN5ga_xocyjewefv`gtWhsRiqMipHinCimEjlG\ okIokKpjMpjOpiQliSlhUlhWmgYmg_mfanfcneenejY`oNWtBR\ y0Nx2Pw3Qw4Sv5Tv6Uu7Wu8Xt9ZtA_sB`sCbrDcrEdnWpec`Xk\ MOs7Qq6Rp5So5Um4Vl4Wk3Xj3_l4bm5eo5gp6jq6ms7pt7ru8u\ w8xx9zy9vxCsxFpxHmxKjxNgwPdwSawVZwXWw_TwaHzXczVgzR\ kzNozJpzHqzFrzDszCvzBxzBzzBzzHzzMzzRzzSzzSzzxzzizz\ Vzz4zzAzzszzIzzgzz`zzUzzNzzmzzwzzlzzazzRzzAzzDzzQz\ zLzzHzzGzzGzzGzzXzzSzzOzzKzzrzzhzzfzzPzz6zz9zzBzzE\ zzIzzHzzGzz1zz5zz9zzDzzHzzGzzAzztzmPzmMzmKzmIzmfzm\ jzm_zmQzmlzmWzmazmRzmEzmAzmCzmEzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 16-05-09 (Unity and a Half [6.5])
by Jim Muth 16 May '09

16 May '09

FOTD -- May 16, 2009 (Rating 6.5) Fractal visionaries and enthusiasts: The complex logarithm is multi-valued, so how then do we know which value is the correct one? The answer is that they are all 'correct'. The square roots of 4 are plus-2 and minus-2, and they are both 'correct'. We use the root that works best in the situation at hand, which is almost always the plus-2 root. The same is true with the complex logarithms, but the other values are always there, and they also make fractals. The MandelbrotBC3 formula makes use of these other values of the complex logarithm. Each value draws a different fractal, even when the exponent of Z remains unchanged. In today's image we have gone 30 levels up the logarithmic ladder to a level where the Z^(1.5)+C parent Mandeloid is totally changed. Today's image is located in the 'Seahorse Valley' of its parent. Since most of the effect is a result of the coloring, which I put at least 10 minutes work into, I have added the usual 1/2 point bonus for the coloring, bringing the overall rating to a less-than-inspiring 6-1/2. The name "Unity and a Half" refers to the exponent of Z. The calculation time of a shockingly fast 44 seconds will bring no discomfort to even the most fastidious. The trip out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to see the finished image there will be equally enjoyable. The showers moved out of the Fractal Central area early Thursday night, leading to a foggy start for Friday. By 10am the fog cleared out however, and the rest of the day was near perfect, with blue skies, puffy clouds, and a temperature of 77F 25C. The fractal cats enjoyed the weather conditions, but they were not happy when a lovesick tomcat wandered by and sprayed the wall right beneath their favorite window. A quick squirt from the hose removed the offensive odor and restored the cats' good moods. My day was busier than expected, in fact it was barely under control. Unless FL gets an antiquing urge, the next FOTD will be posted in 24 hours. Until then, take care, and be conservatively liberal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Unity_and_a_Half { ; time=0:00:44.80-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=+0.1641879378341295/+0.775442975243285/\ 200823.9/1/-5/0 params=1.5/0/30/0 maxiter=1800 inside=0 logmap=105 periodicity=10 colors=0000HU000K0U0000KU000N0U0000HU000K0Ul0fi1cf\ 2`c3Y`4VY5SV6QS7NP8KM9HJAEWU2UR4SP5QN6OL7NJ8LH9JFA\ HDBzm8wi9te9qb9n_AkXAgUAcRB_NBWLBSICOGCKDCoMMfJJYG\ HPDEZOFYNEXMEWMEVLEVLEUKETKESJERJDRIDQRzPHzOGtNGmN\ KcMFcLEZKEUJDPJDKICFHCCGBCcuAaqB_mBYiBWeBUaBSYBQUC\ OQCMMCKICIECz5Az6Bz6Bz6Bv6Br7Bm7Bh7Bc7BZ8BU8BP8BK8\ BJ9CI9CI9CI9CIACHACHACHACGBCGBCGBCf5Ga6FY7ET8EP9DK\ ACH09G2AG3AG5BG6BG7BG9CGACPu`OrZOpYNnXNlWMiVMgTMeS\ LcRL`QKZPKXNJVMJSLJQKIOJIMHHJGHHFGFEGDDF5mG6lH7lJ9\ lKAkMBkNDkOEkQFjRHjTIjUJiVLiXMiYNh_Ph`QhaRhm`kxjnv\ hotgosfoqeopdoncombokaoj`oh_ogZoeYocXpbWp`Vp_UpYTp\ XSpVRpUQpSPpROpPNpOMpQOnRQlSSjTUhUWfVYdW_bXa`Zc__e\ Y`gWaiUbkScmQdoOeqMfrLeqKeqKepJdpJdpJdoIdoIcoIcnHc\ nHcmGbmGbmGblFblFalFakEakEakEdzMezOezPezQfzRfzSfzT\ gzUgzVgzXhzYhzZhz_iz`izaizbizc`zYSzSJzM0z7LzuJzeHz\ RZzEXzDWzDVzDTzDSzDRzDQzD } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 15-05-09 (The Elephants Go West [5])
by Jim Muth 15 May '09

15 May '09

FOTD -- May 15, 2009 (Rating 5) Fractal visionaries and enthusiasts: We have just seen the weird rectangular things that appear on the negative stem of the Z^2.003 Mandeloid. But what would happen if the parent fractal were rotated 180 degrees so that East Valley lies on the negative stem? At a height of 1050 steps up the logarithmic hyperladder, the MandelbrotBC3 formula does just that. When East Valley lies on the negative stem it spreads out into a wedge, while the elephant stuff along its north and south edges breaks up into a series of circular herringbone things. Today's scene with its circular herring bones lies in the debris between two larger herring bones. Unfortunately, the image proved almost impossible to color satis- factorily. It is far too chaotic to produce any kind of smooth- ness to contrast with its over abundance of chaos. As a result, I could rate it no higher than a 5. More work might have found better colors, but I had no time to search. The name "The Elephants Go West" describes the 180-degree trip taken by the normally eastward-bound elephants before they reached today's state of decay on the west end of the fractal. The calculation time of 6 minutes, 6 and 66/100ths seconds has a lot of sixes in it. I guess it could be a sign that the beast is prowling nearby. To avoid the wrath of the beast, it is best to calculate the parameter file with caution. The image may be seen risk-free by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is or soon will be posted for immediate bliss. Heavy clouds, high winds and frequent heavy showers spoiled the otherwise pleasant temperature of 68F 20C here at Fractal Central on Thursday. The fractal cats were so distracted by two prowling tomcats that got into a fight in the side yard that they never noticed the inclement weather. My day was acceptable, but FL got a bit cranky when dirty pictures started popping up on one of the computers. I think the bug has now been cleared out, but only time will tell. The next FOTD will be posted in 24 hours. Until then, take care, and I didn't realize the 666 beast was into fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheElephantsGoWest { ; time=0:06:06.66-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=-0.254082178434463/-0.0011403938506048/\ 7.2428e+007/1/-105/0 params=2.003/0/1050/0 float=y maxiter=4000 inside=0 logmap=286 periodicity=10 colors=000UccUcbUcaUc`Uc_UcZUcYUcXUcWWcV_cUbbSfaQi\ `Om_NpYLtWJwUItQHrNGoKFmHEkEDhDGfCIcCKaBN_BOXAPVAQ\ T9SQ8TO8VM7YJ7_H6`F6aJBaNFcQJeUNgXSh`Wic_kgcmjgnjh\ kjhhjhdnh`rhXvhTzhPzhLzhHzhEzjGznHzrJzvKzzMzzNzzPz\ zQzzRzzTzzUzzWzzXzzZzz_zz`zzazzbzzczzdzzezzfzzgzeh\ zcizajzZkzXlzVlz`ezf_zStzVszXrvZqr`pmbohdncfmZhlQj\ kOljLniJphHrgFtfDveEw`FwWGxSGxNHyJIyEIyAMxDPwGTwJW\ vM_uPbuSftVitYms`prctrfwqizqkthao_SjSJTOUBLdAQfAUh\ AYiAakAelAjnKnpUrqcvsmmtmgqzcozalz_jzYhYWeaUceSaHP\ hDKdAG`7CX48TH6`U5hPDeLLcHSaD_Z9fX5nV1uT5pU8kVBfWE\ aXIXYLSZON_RI`KLbDOd5Rc7Qe8Pg9OhANjBMlCLmDLoEKiFJc\ GIcHHcIGcJGcKFcKEcKDcKCcLCcLBcLAcL9qL8pM8pM7oM6nM5\ mM5mO8jPBhQEfSHdTKbUN`WQZXTWYWU_US`UQaUOcUMdUKhUMe\ UIcUFaUCWUFRUIMUKHUNCUQ7USBU_E`g5muHgnTbgcY`o`UzcO\ shPmmQgrRavSWzTQzUKzVEzW0z`8zXGzTNzQVzMazJ`zI_zHZz\ GYzF`z2XzETzQPzaJznuzWxzc } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 14-05-09 (Counting Troubles [6])
by Jim Muth 14 May '09

14 May '09

FOTD -- May 14, 2009 (Rating 6) Fractal visionaries and enthusiasts: I named today's image "Counting Troubles" because I have never seen such a confusion of number series surrounding any minibrot. The image is supposed to have a mixture of order-7 and order-2 elements around the minibrot. What then are the *5* brilliant white points doing in the scene? I guess it's no problem however. The image, dark and somber as it is, is still worth the minute or so required to run the parameter file. And as always, instant relief is at hand on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted, ready for viewing. Lots of sun and a temperature of 72F 22C here at Fractal Central on Wednesday gave the fractal cats much to enjoy. Unfortunate- ly, they wasted most of the day quarreling over the catnip rat and had little enjoyment. My day was quite busy. The next FOTD will be posted in 24 hours. Until then, take care, and I heard that the world will end on December 21, 2012. I hope I don't miss it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Counting_Troubles { ; time=0:01:21.83-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-8.877891510454265/+0.00383125274875986\ /1.414258e+011/1/165/0 params=7/5 float=y inside=0 maxiter=1800 periodicity=10 mathtolerance=0.05/1 colors=000upNuqNuqOuqOrlNphNncNl_NiWNgRNeNNcJNhRVl\ ZaqehumozzzohkeX`MeQQZQTSQhPfcO`kCHiHIgLJeQJcUKaYK\ _bLzfLWjzzoMSmNzwNSmzzuKWmIzsH_mzaqEmmCzoBzn9zm8zl\ 6zk5zj4zbAsWFuOKxHPzAUsDXmG_fJb`MdUPgOSjHVmBXoBakB\ fhBkdBpaBuZHtVNsSTrOZqLdpIjoEpnBum8qoHnqQkrYckWWeU\ PZSHTQ9MO2GM2JN2MO2OP2RP2TQ2WR2YS2`S2bT2eUJQBNSBQU\ BUWBXYA__AcaAfcAieAjdHjdNjdUzzzzvzmhmmWYf7RgCPf4Nd\ 5Mb5L`5KZ5KX5JV6IT6HR6HP6GN6FL8EJ9EHADFBCDCCEDFEEI\ EFLEGOFHRFIUFJXFKZGM`HNaIPcJQdKSfLTgMUiNWjOXlPZmQ_\ oRapSbrTcs`VihN`pERx6Iv7Ht7Hr7Hp7Gn7Gl7Gk7Fi7Fg7Fe\ 7Ec7Ea7E`7EaBFbFGcJHdNIdRJeVKfZKgbLhfMhjNinOjrPkvQ\ kzQjwTitViqYhn_hkaghdgeffbif_keXmjUziRziOzfNzcNz`N\ vYNpUNlQNgNMcJMZGMUEMRBMO8ML6MJ8JGAHECECECAGA7I75K\ 53M31P74SA7UDAXGD_JGaMJdPMgTPiWSlZVoaYqd`tgcwjfymh\ 6Ce8I`9NXBSSCYOEbJFgFLhFRhFXiFaiFgjFmjFrjFskGskHsl\ HslIsmItmJtnKtnKtoLtoLupM } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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Re: [Fractint] Rectangle Holiday
by Jim Muth 13 May '09

13 May '09

At 03:00 AM 5/13/09 +0000, you wrote: >""There are very curious rectangles in one of the Julia sets of >the Z^(2.003)+C Mandeloid. To see one of them, calculate the >Julia set with a C-value of -1.7435 and check the Z-coordinates >at 0.00019+0.07388i at a magnitude of 75. "" > > >Like, exactly how do I do that? Someone want to clue me with a PAR or FRM? Here is the parameter file: ========================================================= Mystery_Rectangle { ; time=0:00:40.50-SF5 on P4-2000 reset=2004 type=julzpower periodicity=10 center-mag=+0.00019/+0.07388/75 params=-1.7435/0/\ 2.003/0 float=y maxiter=1500 inside=0 symmetry=none colors=000NWvOZqPalPdgQgcRjZRmUSpPSsLTrOTqRTpUUoXU\ n_UmbUmeVlhVkkVjnWiqWhtWgwWgzZfy`exbewddvfdvhcujct\ mbsoarqars`qu`pw_oy_oxWlwTjvQgvNeuKbtH`sEYsBWr8Tq5\ Rq2PvwkjvmZunNtoCtpBqjBodAm_AkU9iP9gJ9eEEdJIcOMbSQ\ aXUaaY`ea_jeZoiZsd_n``jX`fTabObZKbVGcRCdN8dJDfNHhQ\ LjTQlWUnZYpabrdftgjvjnxmoukoripphpmfqkeqhcrearc`s`\ ZsZYtWWtUVsQWrMWqIXqFXpBYo7Yn3Zn0Zm5XmAVmFUmKSmPQm\ UPmZNmcLmgKjfNheQeeScdV`cXZc_WbaUadRafP`iM_kK_nHZp\ FYsDYuGXuJWuMVuPVuSUuVTuYSu`SucRufQuhQuzzszzrzzqzz\ ozznzzmzzkzzjzzizzgzzfzzezzdzzfzzhzzizzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzMzsPzoRzkUzhWzd\ Zz``zXczUezQhzMjzImzFozBrz7tz4oz8kzCfzGbzKYzOUzSPz\ WLz_GzcCzg7zk3zo2zZ1zI0z1lztWzaGzJHzlCz_8zO4zCvzHr\ zFnzEjzDfzCbzBZzAVz9Rz7Nz6Jz5Fz4Bz37z23z1GzWEzSCzO\ AzL8zH7zE5zA3z71z3Bzv9zp8zj7zd6zZ5zT4zN3zHzzBzz5zz\ lzzhzzezzbzzZzzWzzwzzvzzv } ========================================================== JIM

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Re: [Fractint] Rectangle Holiday
by JackOfTradeZ＠comcast.net 13 May '09

13 May '09

. ""There are very curious rectangles in one of the Julia sets of the Z^(2.003)+C Mandeloid. To see one of them, calculate the Julia set with a C-value of -1.7435 and check the Z-coordinates at 0.00019+0.07388i at a magnitude of 75. "" Like, exactly how do I do that? Someone want to clue me with a PAR or FRM? .

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FOTD 13-05-09 (Rectangle Holiday [8])
by Jim Muth 12 May '09

12 May '09

FOTD -- May 13, 2009 (Rating 8) Fractal visionaries and enthusiasts: There are very curious rectangles in one of the Julia sets of the Z^(2.003)+C Mandeloid. To see one of them, calculate the Julia set with a C-value of -1.7435 and check the Z-coordinates at 0.00019+0.07388i at a magnitude of 75. The orderly simplicity of the rectangle makes it an impressive fractal thing, especially when the surrounding railroad-track chaos is considered. And its fragility makes it all the more interesting. If imag(c) is changed even the slightest from zero, the rectangle distorts, fills with debris and disinte- grates like a soap bubble. And if the orientation within the Julibrot is changed by as much as one degree in any direction, the rectangle also distorts and disintegrates. Such rectangles are pure Julia objects . . . or this is what I thought until I found today's image, which shows a minibrot in the area of the 2.003 Mandeloid that corresponds to the Julia rectangle. To my surprise, I found that the area surrounding the minibrot is filled with rectangles exactly like those in the Julia set. In today's image, these rectangles appear as tiny open areas where the bulky arms appear to branch out into smaller arms. A single enlargement reveals them to be perfect rectangles however. I have not yet done much investigation of these Mandelbrot rec- tangles. Maybe some of them are not so perfect. Maybe some squares, trapezoids, parallelograms, or even more exotic figures with more than four sides, such as octagons, lie hidden in the scene. Too bad we're already near the limit of resolution. We may never find out. But I don't give up so easily, especially when it comes to fractals, and I have a funny feeling that many more surprises lie nearby. So I'll be doing a lot more exploration in the area. Stay tuned. Who knows what might turn up. I named the image "Rectangle Holiday" for the fun of it. I rated it at an 8 because I think it's pretty good. The calcula- tion time of 3-3/4 minutes will pass in a few flashes, or the flashes may be escaped by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and seeing the finished image posted there. Tuesday produced enough sun to keep the fractal cats happy. The temperature of 68F 20C was a little chilly for the date, but well within reason. My day was just eventful enough to prevent boredom. The next FOTD will be posted in 24 hours. Until then, take care, and when you find the ultimate truth, what will you do with it? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Rectangle_Holiday { ; time=0:03:45.28-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=SliceJulibrot4 passes=1 center-mag=+0.00002587319771205/+0.000021904280298\ 92/3.8e+010/1/67.5/0 params=0/0/0/0/-1.7435/0/0/0/\ 2.003/0 float=y maxiter=3600 bailout=10000 inside=0 logmap=516 periodicity=10 colors=00089K9AM9BO9CQADTAFVAGXBJZBL`BObCRdCUfCWhD\ ZjD`lD`nCboCeqCfsCguChwCixCjyCkwBlwBmwBnwBowBowBow\ BowBqzAqzAqzFqzKqzMqzOqzQqzSrzUrzWrzYrz_rzarzcrzer\ zgrzirzkrzmrznszotzpuzqvzrwzsxztyzuzzvzzwzzwzzwxzw\ vzurvsnrqjmofhnbdnZanVZnTWmPUmLRmHOmDLl9Ji9Kg9KiAK\ cALaAL`BL_BMZBMXCMWCMWCNVDNUDNTDOTEOSEOREPQFPQFPPF\ PUScZdr`cqabpbapcaod`ne_ng_mhZmiYljYkkXklWjmWjlXjl\ YjkZjk_jj`jjajibjicjhdjhejgfjggjghjfijfjjekjSziOzj\ KzkHzlGycFtWEoNDjFDe7HZBLSEPLH`IQlFYwDeqKhkQjfXl`b\ nVipQorKvtFzvEvwEpwEjwEdwJ`rNXnSUjWQf`Ma`JYaFUcCQg\ IRmQRr_RvdSwjSypSzwSzzYzzmzzz4zn3ph3fb3YX2OR2EL25G\ Agn2_q6`o9`nC`lFH`YvzI`iL`hOIKezLauRYnWUg`5M79PDDR\ JGlPKzVmz`U9kTEjTJiSNhSSgRXfmLJrONmQQcSTYVXVX_TZbV\ AFTOT0pz4nz7lzBjzEmzHrzLwzzzzzzzzzzzzzzzzzzzzzzzzd\ zzdzzezzezznzzlzzkzzjzzizzhWzgTzfdz7_zJVzVPzOQzURz\ _EzlLzhyzwsztmzqgznHzj9zi } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 12-05-09 (Knowledge Lost [Optional])
by Jim Muth 11 May '09

11 May '09

FOTD -- May 12, 2009 (Rating Optional) Fractal visionaries and enthusiasts: So many flat patches give a kind of pop-art look to today's image, which lies in the area way out on the main spike of an oversized Mandelbrot set that has been corrupted by some quintic elements. Most of the effect is a result of the closeness of the scene to the bailout radius, where everything cuts off. This is exactly the same effect that appears far out near the tip of the negative spike of the classic Mandelbrot set when the bailout is set to 4. But in today's case, the minibrot at the center is not quadra- tic, it is quintic, and the number of elements surrounding it is a mixture of 2 and 5. I let the rating be optional. Some might like the image, others might consider it too elementary, more like what the newbie frac- talist would find. The name "Knowledge Lost" has little meaning in relation to the image. When I thought of the name, I was wondering what happens to the information that is swallowed by a black hole. The calculation time of 25 seconds is about 60 times as fast as yesterday's image. Since today's image has somewhat more than 1/60th the worth, this makes today's image the better value for the time spent. But why not forget all this stuff about image worth by viewing the image in finished form on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With some sun, some clouds, little wind, no rain, moderate humidity and a temperature of 64F 18C, Monday had little to comment on here at Fractal Central. The fractal cats got in a short spat to decide who would control the catnip rat for the morning, but Cassie soon won and Nicholas retired to the window shelf to console himself watching for intruding cats. My day was average, as are most days. I'll have no complaints if tomorrow is the same. The next FOTD will be posted in 24 hours. Until then, take care, and we actually know only a small part of what we think we know. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Knowledge_Lost { ; time=0:00:25.32-SF5 on P4-2000 reset=2004 type=dividebrot5 passes=1 center-mag=-99.99995480655251/+0.0000000490712611/\ 7.153044e+010 params=5/50 float=y maxiter=300 bailout=10000 inside=0 logmap=34 periodicity=10 colors=000AIQ89DmIjzFxzBrp7U03A024013012c0RhLZMAHh\ zUGp9dcHZWGWK8Y7lzP1VO0LG0A80dCPqLxUEcF7KOixCNUUtC\ Ka8AJ4xAiwp1U006Sp4LF3EA17522011JfHtWCeL8SA4EKj`FZ\ RfVL_a8a_EcZKeYQgXWaO_WFcR6gg7px7xVRV2i1GUCTFNe0Yq\ IXR9GE8b95Q42DpJLQ9ANQHzz1zz0zzRzzZzzczzUzzKzzAzzB\ zz7zz3zzzzzazzPzzCzzszzBzzlzzOzzEzz5zz2zzbzzILz9sz\ HSz8Lz0Az0lzwWzcGzKezQLzD7z4mzXXzMGzBEzjAzZ7zN3zBy\ zpizbVzQFzDhznjzvNzTXz8Gz4xzLUzAOzvCzTFzOBzI7zC3z6\ 0zD0z80z4QzGDz8izTNzE0zD3zL2zE1z71zn0zPVzTmzN`zHPz\ BCz5RzXDzGlzUWzKGzA6zI4zC2z6nzhjzrNzRDzO8zG4z8sz5e\ z3Sz2Ez16zT3zEhztMzSuzefzVTzLEzAZz5Hz2tzZezQSzHEz8\ `zuRzfIzT9zEqzsRzSXz1Oz0Gz08z0yzyZzOjzJNz9KzTDzJ6z\ 92zA1z54zM2zBOzQCzDuzFazAJz5AzR6zI3z9Ezm9zX4zG9z94\ z49zm6zX3zG3zFCzu9zf6zT3zEEzOAzI7zC3z64zXVzeFzLXzf\ 5zDLzFEzA7z5jzjVzVFzFYz4Mz2Bz1pzSQzE_zRRzKIzD9z6oz\ oYzYHzHjzTZzLNzEBz7ZzpQzb } END PARAMETER FILE=========================================

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FOTD 11-05-09 (Valley of the Shadow [No Rating])
by Jim Muth 11 May '09

11 May '09

FOTD -- May 11, 2009 (No Rating) Fractal visionaries and enthusiasts: Today's nearly unbearably slow image shows what happens to an order-11 minibrot when it mixes with the quadratic stuff deep in Seahorse Valley of the Mandelbrot set. I spent several minutes simply observing the curious blending of different orders of fractal material. Unfortunately, I never got around to rating the image, though it appears worthy of about a 6. IMO, the colors are a bit too pale and pastel-ish, but in the world of fractals, one person's paleness is another person's perfection. The name "Valley of the Shadow" is not nearly as ominous as it sounds. The image is actually quite bright and cheery. The calculation time is by far the most troublesome aspect of the image. The problem here is the unusually high iteration count of the elements in the image, most of which have an iteration count well above 5,000. The image may be viewed at leisure on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday turned out to be a very pleasant day here at New Fractal Central, with a blue sky filled with puffy white clouds, and a cat-pleasing temperature of 68F 20C. True, the wind got a little gusty at times, but the warm sun soon erased any chill. My day was average. The next FOTD will be posted in 24 hours. Until then, take care, and be at peace. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= ValleyOf_TheShadow { ; time=0:33:24.39-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip center-mag=-74.99016340175787/+1.587649774464434/\ 1.608924e+010/1/30/0 params=11/100 float=y maxiter=25000 inside=0 symmetry=none periodicity=10 colors=000mqslqplpmlojlmhklekkckiakhZjgXjeUjdSgaLi\ bOjcQldSmeUofWpfZrg`shbuidvjfzpqznnzlkwjhtheqfcnd`\ kbYh`VeZSeWPbXQ`XQYYQWYQTYQRZQOZRM_RJ_RH_RE`RC`RA`\ RCZPDXOEVNFTLGRKHPJHNHHLGGLGGKHIMGKPFMSENVDP_CRdBV\ g8Uh9Th9SiAvmlvjgvfaubWu_RuWLuSFuPAl_RcifVsvSpoQnh\ OlaMiVKgOIeHDd7GcBJbEMaHP`KS`NV_RYZU`YXcX_fXbiWflV\ ioUlrTozJyxOutTrpXomalieiejffUXfs`dpbbnc`ldZieXggV\ ehTbiR`jPZlNWmLUnJSo9SrHQpOPnWOmbNkjMij_YmVaoQdqLh\ sGkuBowDryIuxOszUrzZqzbozanz_mzXkzUjzRizTgzWfzZex`\ cvcbtfath`oiWjjRhlPejNciL`hJZfHXeGUdESbCPaAO`8N`6M\ `6M_6L_7M`9NaBOaCPbEPbGQcHRcJSdLTdMTeOUeQVfRWfTXgV\ YpQXgWWZaVQg91qUHmzhexcgs_hmWjhSkcNmYJnTFpF0pI3qL7\ qOBqRFqTKqWOqZSqaRqbRqbRpbQobQn`PpaOkbNkcMkdQkeVke\ Zjfcjggjhljipjevngvlhukitjksilrhmpgoofpneqmdspdrlc\ qhbqdbpaaoYaoU`nQ_mN_mJZlFZkBYj3Vk8YkD_kHakMdlQflV\ hl_klcmmhomlrmqtmrvmrxmqw } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 10-05-09 (Innate Troubles [6])
by Jim Muth 10 May '09

10 May '09

FOTD -- May 10, 2009 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD is late; the color of yesterday's FOTD is terrible. Yes, I know all this. I posted the wrong parameter file for yesterday's image, and FL suffered another antiquing attack Saturday morning. (We found another new rug.) It's too late to post the right parameter file for yesterday's image, (though I have attached it at the end of today's FOTD), and when I finally got back to the fractal computer Saturday evening, it was too late to find a proper fractal in time for the usual mid-evening- of-the-day-before post time of today's FOTD. But it is now bright and early Sunday afternoon, FL is in the garden, and things have settled down. I have included the right colors for yesterday's image (for those who noticed the original sickly green pallor) and written a short discussion for today's image. Today's image shows another order-11 minibrot, this one located in the valley leading to a period-9 bud on the northeast shore line of the parent, which is an oversized Mandelbrot set. I named the image "Innate Troubles", which is not as bad as it sounds. I rated it at a 6, which is not quite up to FOTD average. The calculation time of 4-3/4 minutes may be dispensed with by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoying the finished image there. But because of the unusual time of this posting, give Paul a bit of time to calculate and post the image. Considerable clouds kept the temperature of 79F 26C from reaching its full potential here at Fractal Central on Saturday. The fractal cats had no complaints when we returned around 8pm, but they carefully checked the new rug before permitting it to be spread on the hallway floor. My day was . . . well . . . interesting. More philosophy is still brewing however, so stay in touch for new ideas. (The number-one sign that an idea has merit is when you know it is absurd and wonder how anyone could be so stupid as to believe it.) The next FOTD will be posted in 12 hours or so. Until then, take care, and be with the progressive thinkers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Innate_Troubles { ; time=0:04:44.26-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip inside=0 center-mag=+32.40589564828817/+40.39158171013307/\ 6.227322e+011/1.0011 params=11/100 float=y maxiter=3200 periodicity=10 mathtolerance=0.05/1 colors=000ZOZUNUUORUSOUXZU`iUdtPgmNigRlaWnW`qPdsJi\ vDmx7kv9jtAirChpDfnFelGdjIchJ`iLbfKccKe`KfYKgWJiTJ\ jQJlNJmLInIIpFIqCIrAIt9Hu9Hw9Hx9Hz9Hz9Hz9Hz9Hz9Hz9\ Hz9Hz9Hz9Hz9HzAPuAWlAbdAi`DhYGhVIhSLhPOgMQgJTgGWgC\ alDYgEVbFSYGPTGMOHJJIGEJD9JA5L96M97N97P88Q88R89T7A\ U7AV7BX6BY6CZ6D`5Da5Ed0Gb5E`ADZFCXKBWPAUU9SY8Qb7Pg\ 6Nl5Lq4Jv3Iz2QxCYvMXrOXnPWjQWfRVbTVZUUVVURWTNYTJZS\ F_SB`Q7bS8aU8`W8_X8ZY8YZ8X_8W`8W`8W`C_`Gc_KgZPkYTo\ XXsV`wUdzQfyNhyJjxGlxImsKnoLojNofPpbQqYSrUTrQQxJ_q\ FijCsc9zT4zV5zX6zY7x_8va9tbArdBpeCogCmiDkjEilFgmGe\ oHcqIarJ_tK_xMZvLZuKZtJZrJvSWwTUxTSzUQzUOzUMzVKzVI\ zUIzVHzWHzWHwXHsYHpYHmZHj_Hg_Hc`G``GYaGVbGSbGOcGLd\ GIdGFeGCeGDdHDcIDbJEbKEaLE`LF_MF_NFZOGYPGYPGXQHWRH\ VSHVTIUUITUISVJSWJRXJQYIRVJQXJQYKQZKQ_LQ`LPaMPbMPc\ MPeNPfNOgOOhOOiPOjPOkWMvPOlyGWzLoyMrvMvsMwoMwlMwkN\ wlNzmNznNzoNvpOrmOmhOhcOc } Right_Color_May_09 { ; time=0:10:14.53-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-178.5721094725071/-0.0000781075421812/\ 8.837183e+010/1/-62.4/0 params=11/100 float=y maxiter=3200 inside=0 logmap=550 periodicity=10 mathtolerance=0.05/1 colors=000_AR_AR_BR_BR_BR_BR_AR_AR_AR_9R_7R_5R_4M_\ 2H`0Db0Bb1Eb4Hb7LbAOcDSdGVeJZfNagQdgThgWkgZogargdv\ ggyITeFTeBSe7Se3Rd9TdBUbDVaGW_IYYGYWDYUAYS7XQFWSNV\ UVUWbTYjS_sQasT_rWXqZVpaSodQogNnjLmmIlpGksDa`CSIBI\ 0AJ0FK0LL0QM0WN1aO1fP2lQ2qR3wT4zT8zTCvTGrTLoTPkTTg\ SYcTaZVeTXiNZmH`qB`qD_qF_pHZpJYoLYoOXnQWnSWmUVmWUl\ ZIlb6kf6he6ec7ba7__8XY8TW8QU9NS9KQAHOAEMBAKDCMGEPJ\ GSMIUPLXSN_UPaXRd_UgbWieUlhQokMrnJnmCjk0fk0ik0gk1d\ j2bj3_j4Yi5Vi6Ti7Qh8Oh9LhAJgCGgIOYOLOUJD`GJTPPLYVC\ f`4of0xc0u`2rY6oVAkSEhPIeMLaJPZGTWDXSA`P7dM3hIAWMI\ JQQ6UY0ZZ0Z_0Za0Yb0Yd0Xe4WfFVgQjh`jitogroepmcnkaki\ _igYgeWdcUaaS__QYYOVWMSTKQQIONHMMGKIGGNGANO5PRAUUH\ YaPjpzznlmkTliLkfDjd5ia0ga3fa8daDbaH``JZ`LX`NW`PU_\ RS_TQ_VO_XMZYKWZKS_JPXJLaIIbHEeHEgGKiFPkFUmEZoDcqE\ hsGmuIrwKvyMzzOzzPzzRzzTzzVzzXzzZzz`zz`zz`zz`zzazz\ azzazzazzbzzbzzbzzbzzczzc } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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