April 2008 - Fractint - mailman.xmission.com

<Jim Muth> I really enjoyed creating your FoTD for 08/4/26 & /27
by Hal Lane 30 Apr '08

30 Apr '08

########################################################### Jim, I really enjoyed creating your FoTD for 08/4/26 & /27 in high resolution. They are really very aesthetically pleasing. Thanks for making them quick to compute! ;-) I appreciate your mentioning the parent fractals, also. Its always rewarding and instructive to see these. Zooming around a bit in them revealed lots of interesting stuff. I also had fun trying and rotating different color maps. I would like to remind people who calculate the parent fractals that they need to set the Log Palette (on the 'X' Basic Options screen) to "No" or zero. Otherwise, the logarithmic palette optimized for Jim's zoomed FoTD image will be used for the parent fractal, to the great detriment of the appearance of the parent fractal. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ###########################################################

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FOTD 30-04-08 (Red Rampage Riot [7])
by Jim Muth 30 Apr '08

30 Apr '08

FOTD -- April 30, 2008 (Rating 7) Fractal visionaries and enthusiasts: I named today's fractal "Red Rampage Riot". After all, it does have a good bit of red in it. The parent fractal is another variation on the square roots of 2 and 3, which appears as a near-Mandelbrot set rotated 180 degrees. Its most unusual feature is the two infinitely divided main stems along the positive X-axis, which instead of spreading apart as they move farther from the origin, move together and ultimately join. Today's image lies very deep in the area where the stems merge and vanish. The mathtolerance entry assures that the parameter file will run at the correct magnitude. I rated the image at a 7, which is close to the FOTD norm. The calculation time of 46 seconds is unusually fast, so running the included parameter file will be no problem. But if unexpected problems do arise, the finished image may be seen on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Just before I sent off yesterday's FOTD, fractal lady happened to glance at the end of the FOTD discussion, where I wrote that I wonder if intelligent design and evolution may both be right. She told me the sentence was silly, that only one could possibly be right. But I replied, "what's the big deal?" Photons can be either waves or particles, depending on what we want them to be, and this, which is equally as silly, can easily be proved scientifically. Chilly but otherwise fair weather with a temperature of 55F 13C prevailed here at Fractal Central on Tuesday. The fractal cat duo enjoyed the conditions from the less-chilly indoors. I observed the conditions from the local garden center, where we spent the afternoon planning for a better yard to come. I actually enjoyed it a little. The next FOTD, maybe better than today's, maybe not, will be posted in 24 hours. Until then, take care, and if it's not one, it must be the other. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Red_Rampage_Riot { ; time=0:03:58.98-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+3.533592786414534/-0.00138674232240322\ /9.796122e+010/1/-40/0 params=1.6/1.414/-1.6/1.732\ /0/0/0/0 float=y maxiter=1800 inside=0 logmap=77 periodicity=10 mathtolerance=0.05/1 colors=000zHKzWKzTKzPKzKKzAKx5Hs4En4Bi49d46_43V41R\ 75O98LCBHEEEHHBJK8XD5i72v1Uf1uR1sO3qL5oJ7mG8kDAiBC\ g8Ee6FcFNbOUaW``dg_ln`jiahdaf_bdVcbQc`LdZGdYBZPOUH\ `O8mJ0zN6rRCjVIbYOWaUOe_Ghd9dh8ak7Yo6Vr6RmEOhMLdTI\ _`FVhCRoPYhadbnjXhjVbjTXjRSjQMjOGjMAjK5jJWgCue5qfC\ mgJihPeiWajbYkhUloQmuVfv_`wdVwiPxnJysDygRiXcUPbVHb\ W9bX2bY9dXFfWMhVSjVZlUdnTjpTheUgWVfMWeCXd2Xi7WnCVs\ HUlMQfRN`WJV`GOeCIj9Co56s29TJB3_jI6NS50`53bC6dJ9eQ\ CgWFhbIjiLkoIjhGiaEhVBgO9fH7fAAkCCoELqSUseausewohx\ llyiozfZzoJzxKvwKswKovKlvKhuKeu7LA9KFBJKDIPEIUGHZI\ GcKFhLFmOJiQNeTRaVVYXZU_bQafMcjJb_QaPXbM_bKabIdbGf\ cEhcCkcAmc8oZBmVEkRGjMJhIMfEOeCQZARS9SM7UF5V84W29X\ 9DXFIXLMXSRXYVXc_MTdBIi17XSXLqvNjqPclQXgSQcTJZVCUW\ 5QVCVUJ_TQcSXhRclQjqQpuPnrOlpNjmMhkLgi`RWpAIdpvaoc\ ZoMWo4_RHc3TY4SS5RN5QH6PB7O67NE6LL6KS6IZ5He5Fl5Es5\ DmPMggUbzaewZgtW2RHHQUWPe } 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 29-04-08 (Incomprehensible-2 [Indeterminate])
by Jim Muth 29 Apr '08

29 Apr '08

FOTD -- April 29, 2008 (Rating Indeterminate) Fractal visionaries and enthusiasts: Maybe I'm just imagining it, but things seem to be getting a bit dull on the two fractal lists lately. Whatever happened to the controversial fractal philosophy? Maybe it's time for someone to start the philosophical ball rolling. If I do wax philosophi- cal, science, religion, new-ageism, paranormalism and philosophy of all kinds will all be fair game. But today, the much more conservative discussion is about fractals. To create today's image I increased the portion of Z^sqrt(2) in yesterday's parent fractal to 1.5 parts, which greatly increases the fractal's size. Then I checked to see what was happening far out on the positive X-axis. What I found is revealed in today's image. I named today's fractal "Incomprehensible-2", though I can not comprehend why I did so. The image seemed to have no definite value, so I gave it an indeterminate rating, which, like divid- ing zero by zero, is equal to anything the viewer wants it to be. The calculation time of 3-1/4 minutes, while not the shortest of all time, is much better than yesterday's time. And as always, the finished image is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be viewed instantly and at leisure. Clouds and rain describe the day Monday here at Fractal Central. The chilly temperature of 52F 11C was of no help. The fractal cats, disgusted by the miserable outside conditions, spent most of the day sleeping and playing with their fresh catnip rat. My day was average. Tomorrow will likely be similar. The next FOTD will appear in 24 hours. Until then, take care, and some believe that the universe was intelligently designed to support life. Others believe that the evolution of life is an extremely lucky but perfectly natural accident. I believe that both sides are half right. But of course, I have no proof. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Incomprehensible-2 { ; time=0:03:14.86-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+11.13581279223/-0.03806984753/9489579/\ 1/144/0 params=1.5/1.414/-0.8/1.732/0/525/0/0 float=y maxiter=32767 inside=0 logmap=144 periodicity=10 colors=000UUkUUiUUhUUfUUeUUcUUcUUaUV`UXZUZYU_XW`VY\ aU_bT`bSbcRddPeeOgeNifMjgLlhJnhIoiHqjGskFtmEuoSvqe\ wsaccc000000zUQzRNzOKzKHxHEvDBwA8v75r87o89k8Ah8Cd9\ Ea9FY9HV9JR9KOAFKAAHAADAAAAACDADFAEIAFKAHMFIPKJROK\ TNMWMNYMO`LPbLRdKSgKTiJUkJSnKQqLOtMNsPMsRLrTLrVKqX\ JqZJp`IpbHodGofGnhFnjEmlEmn7X`0HN4IR8JVCKZGLbKMfON\ cRNYQLUQKQPIOPHM84K93KA3KA2KB1KC0KC0Ki5ek8dlBdmDcn\ GcoJbpLbqOasRatT`uW`vZ_w`_xcZyfZzhZz`czThzLmzDrHBx\ JMwKXwLgwKtzMqwNntOkqPhoQelRbiS_fTXdUUaVUzWUzXUzYU\ zZUz_Xze_z`bzWezRhzMkzHnzCqz7tz0wz3zz6zz9zzCzzEzzH\ zzKzzNzzQzzNzzSzzXzzazzdzzfzzgzzhzzizXjzTpzNkzPfzR\ azTYzVTzXOzZKz`FzbAzdxzv6zfMzc`zaazdbzfczhdzjdzlez\ nfzpgzrjzvgztdzsazqZzpXznUzmRzkOzjMziLzkMzhNzeNzbO\ z`PzYPzVQzSRzQRzNSzKTzHTzFUzCVz9Vz7Xz9ZzB`zCbzEdzF\ fzHhzJjzKlzMnzNlzOkzOizPhzPgzQezQdzRbzRazS`zSZzTYz\ TXzTRzWMzZHzaCzd7zg0z0kzk } 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 28-04-08 (A Strange Seahorse [No Rating])
by Jim Muth 28 Apr '08

28 Apr '08

FOTD -- April 28, 2008 (No Rating) Fractal visionaries and enthusiasts: I think this is the first FOTD where I have chosen the first spot I zoomed in on to be the FOTD for the day. I confess, I was just not in the mood on Sunday to search for a better fractal. Is this the beginning of the end of my fascination with these incredible images? I think not, but only time will tell. As for today's image, it lies in the Seahorse Valley area of the same parent fractal that gave us yesterday's image. I didn't even feel like calculating a new parent fractal. Of course, I gave the image no rating. It deserves none. But I did give it a name -- "A Strange Seahorse". The name indicates that the Seahorse Valley in which today's image lies is quite strange when compared to the Seahorse Valley of the classic Mandelbrot set. And the calculation time of almost 10 minutes is notably slower than I would have liked, but 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 for instant happiness. Sunday at Fractal Central was partly cloudy with a temperature of 63F 17C, while the fractal cats were on their better behavior. My day was lazy, but not depressingly so. The next FOTD will be posted for all the world to enjoy in 24 hours. Until then, take care, and spread the word of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Strange_Seahorse { ; time=0:09:56.33-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+3.68754563329/-0.14920767621/2050486/\ 1/165/0 params=0.7/1.414/-0.9/1.732/0/0/0/0 float=y maxiter=6800 inside=0 logmap=726 periodicity=10 colors=0008ZK9_L9aMAcOAePBgRBiSCjTClVDnWDpYErZEs_J\ qYNpXSoWWmV_lUdkShiRmhQqgPufOtbQtZRtVStRUtNVtJWtFY\ tBZt7_t4`s7arAaqCapFaoIbnKbmNblQbkSckVcjYci_chbdge\ dfgdejddmecoebrebteVpfNlfFhf8ef9bg9`h9Yi9Wj9UkARlA\ PmAMnAKoAIpBFqBDrBAsB8tB6uD8tFAtHCtIEsKGsMIsOKsPMr\ ROrTQrVSrWUqYWq_Yqa_qbapdcpfepggpehlchibhe`hb_hZYh\ WXhTVhPThMShIQhFPhBNh8Mh5Nf7Oe8Od9PcBPbCQaDQ`ERZGR\ YHSXISWJTVLTUMUTNUSOPQSKOWFM_AKc5Ig0Gj3Jg6LddAOd9P\ c8Qc7Rb7Sb6Ta5Ua5UZ6OW6JT6DQ68O63WEFcLQkT`r_knYhkX\ fhWceVabTZ_SXXRUUQSRPPONNLMKILIFKFCID9HA6G83F50E31\ G51I62J72L83M93OA3PB4RD4TE5UF5WG6XH6ZI6_J7aL7cM8dN\ 8fO9gP9mQ9`R6eI4a92Y1KJ7`5Dc4De4Dh4Cj3Cm3Co3Cr2Bt2\ Bw2By2BvBFsKJpSMmTOkTPhTRfUScUUaUV_UXXVYVV_SV`QWbN\ WcLWeJWfIXdIYcHYbHZaGZ`G__F_ZFaYEcWEeVDgUDiTCkSFmR\ KoQPqPUsNZuMcvLhwKmxJryIvzHzzGzzKzzNzzQzzTzzWzz_zz\ bzzezzhzzkzzCzzEzzFzzHzzI } 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 27-04-08 (Web of Darkness [9])
by Jim Muth 27 Apr '08

27 Apr '08

FOTD -- April 27, 2008 (Rating 9) Fractal visionaries and enthusiasts: For today's image I took yesterday's parent fractal, but subtracted a little more Z^sqrt(3) from a little less Z^sqrt(2), resulting in a fractal that is somewhat larger than yesterday's parent, with different oddities located mostly along the X-axis. I found today's image along the positive X-axis, which is where a main spike would normally be expected in a Mandeloid rotated 180 degrees. But in today's parent, a spike is nowhere in sight. Instead of a spike, we find a maze of twisting pathways, infinitely divided, with countless minibrots scattered about. Today's image shows one of these minibrots. I named the image "Web of Darkness". The unusual amount of darkness surrounding the windmill-like spider-web pattern inspired the name. The rating of a 9 indicates that I consider the image to be much better than the everyday FOTD fare. The calculation time of a mere minute should leave every fractalist iterating with joy. And the finished image is also joyously posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The unusually fine spring weather continued here at Fractal Central on Saturday. Mostly sunny skies with a temperature of 73F 23C can hardly be beat. At nightfall a mild thunder-shower moved in, but by that time the day had ended and the rain merely watered the flowers. The fractal cats must have agreed, for they were on their best behavior all day. My day was as slow as I had hoped it would be, which is the way I like days to be. The next FOTD will be posted in 24 hours. Until then, take care, and look for the light admidst the gloom. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Web_of_Darkness { ; time=0:01:02.82-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+4.089540127691547/-0.0001022448756743/\ 1.324527e+008/1/90/0 params=0.7/1.414/-0.9/1.732/0\ /0/0/0 float=y maxiter=500 inside=0 logmap=108 periodicity=10 colors=000GHgFIiFJkEKmELoDMqDNsCOuCPvDOtDMrEKoEIkE\ GgFEcFCZFAUG8QG6MG4IH3JH4JH5JI6JI7JI7KJ8KJ8KJ9KKAK\ KALKBLLCLLCLLDLLDLQENUFOYGPaHQfISjJTnKUrLVvMWsQXqT\ YnWZlZ_ia`gdadgbbjc_mdYpeVsfUvgZuccu_huXmuTmuPmuMm\ tIhtEctBZt7Ut3Ut0OqEImSChe7crBZmEUhHPcKK_OFVRAQUAL\ XAHWALWAOVARVAUUAXUA_TAbTAeSAhSAkRAnR7qR3tTCsUKrVT\ rX`qYiqZqp_ypWwkSugOscLr_HtUEuPBvK8xE5y92z4AjCHVJP\ FQW0XU4YS7YQAZODZMG_KJ_IM`GP`ESaCVaAYb8`b6cc4fc3ic\ 6fZ8cUA`PCZKEWFGTAIR6HP5FM5EK5sYdsXesWfsVhrUirTjrS\ lrRmrQnrQooSnmUnkVniXmfYmd_mb`l`blYclWelUfkShkPikN\ kjLljJnjHojKmhNlfPkeSicUhbXg`Ze_adYdcWfaVi`Tk_SnYQ\ pXPsWNuVMrUOpTPnTQkSSiRTgRUdQWbPX`PYZO_WN`UNaSMcPP\ dNUeLZgJchGhiEmkCrl9vm7zo5zp3zqzznzzkzzizzfzzczzaz\ z`zz`zz_zz_zzZzzZzzYzzYzzKzz7zzTzzOzzKzzGzzBzz7zz3\ zz4zz5zz6zz7zz8zz9zzAzzBzzCzzDzzEzzFzzGzzHzzIzzJzz\ KzzLzzMzzNzzGzzFzzEzzDzzS } 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 26-04-08 (Mix and Match Them [8.5])
by Jim Muth 25 Apr '08

25 Apr '08

FOTD -- April 26, 2008 (Rating 8.5) Fractal visionaries and enthusiasts: In today's paper I saw a column about a comedian who made fun of the pope on his recent visit to america. The columnist thought it was an inappropriate thing to do, and commented that such mockery could weaken or destroy someone's faith in the existence of God, a belief that makes life endurable, and without which we would face the specter of meaninglessness and oblivion. When I read this, I smiled and thought, "if one's faith is so weak that it could be thrown into doubt by a second-rate comedian, that doubter should already be considered an Atheist." (Atheists get along well enough without faith in a supernatural God, BTW, but they substitute faith in science and reason for faith in God.) I am promoting neither Atheism nor Theism. I am merely telling my thoughts about a newspaper column. IMO, the evidence, or lack thereof, is equally unconvincing on both sides. But what I am promoting is fractals. And today we have one that came about when 0.8 parts of Z^sqrt(3) was subtracted from 0.8 parts of Z^sqrt(2) and C was added. The parent fractal closely resembles a Mandelbrot set rotated 180 degrees. But a closer examination shows that both the east and west sides along the X-axis of this parent are much changed. The main stem has degenerated into little more than a tiny nub, and East Valley has broadened into a wedge. Today's scene lies near the northern edge of this eastern (western) wedge. I named the image "Mix and Match Them". I had a reason when I gave it this name, but I have since lost track of the reason. Regardless, it's a very unusual image, especially for one that calculates in only 46-3/4 seconds, and well worth the small bit of effort needed to see it. The rating of 8.5 is well-earned. Almost no effort will be needed to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoy the completed image there. A thin veil of clouds made Friday less than perfect at Fractal Central, but the temperature of 77F 25C and blossoming trees gave compensation for the weaker sun. The fractal cats agreed. My day was appropriately busy. The next wonderful FOTD is due in 24 hours. Until then, take care and prepare. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mix_and_Match_Them { ; time=0:01:15.85-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident inside=0 center-mag=-0.3488069853915473/+0.123787083556466/\ 57322/1/42.5/0 params=0.8/1.414/-0.8/1.732/0/0/0/0 float=y maxiter=2100 logmap=75 periodicity=10 colors=000878A78C78E78G78LDDPJHUOLYUPbZTfdYljapoev\ uizzmysgxlbveYuZTsSNjLIbEDX78T13Y14b15g16l17p18tK9\ xPAzUBzPCvKDrFEmAFm5Gm1Gh3Hd4Ie6Jf7Jf8KgALhBUiCcjE\ mjPzkGzlImmJcmKUlQSlWTlaVlgWdZSXROQIKIAGB2CD3DF4EH\ 5EJ5FL6GN7GP8HR8IT9IVAJXBKZBK`CLbDMdDMbGKaII_KHZMF\ XOEWQCUSBTU9RW8QY6P_5N_CM_JK_QJ_WI_bG_iF_pE_vIXuLV\ tOSsSQrVNqYLpaIodGngDmkBln8kq6jhFi`OiTXhLehDnhBofA\ pe9pd8qb7qa6r`5r_4sY3sX2tW1tV5pW9mWDjXGgXKdXO`YRYY\ VVYZSZaPZeL_iI_lF_pC`t9`w6`tBbrFdpJenNglSijWjh_lfc\ mdhoblq`prZttXxuYuqYrnZojZlgZic_f`_cX_`U`YR`VNaSKa\ PGaMDbJ9bG6bE3_H8XJDULIRNMOPRLRWIT`FVeOfgWriZskatm\ dtnguoiupfrqdorbls_itYfuWcvU`wRYxPVzNSzLQzNRzORzQU\ zRXzS_zUbzVezXhzYkzZnz`qzatzbwzczzdzzezzfzzgzzhzzi\ zzjzzkzzlzzmzznzzozzpzzqzzAzzCzzDzzEzzFzzGzzHzzIzz\ JzzKzzLzzMzzNzzLzzKzzIzzHzzFzzEzzDzzBzzAzz8zz7zz5z\ z4zz3zzczz_zzWzzTzzRzzPzz } 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 25-04-08 (Total Confusion [No Rating])
by Jim Muth 25 Apr '08

25 Apr '08

FOTD -- April 25, 2008 (No Rating) Fractal visionaries and enthusiasts: Today's image takes us to the fractal that is created when the formula Z^sqrt(3)+C is calculated 2 levels up the logarithmic hyper-something when no function is applied. The parent fractal resembles a half-deflated beach ball draped over the edge of a cliff. The not-too-attractive and under- iterated minibrot in today's scene resembles its parent beach ball rather well. The scene is located a short distance to the west of the main bay of the parent fractal, where a zigzag filament is being squeezed between two heavy discontinuities. I named the image "Total Confusion" after a quick glance showed very little orderliness in it. Then I let it go without a rating. I didn't like the image enough to rate it. The calculation time of 2-2/3 minutes will try the patience of not even the most impatient fractalist. And last but not least, the finished image is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Absolutely perfect weather prevailed Thursday here at Fractal Central. The sunny skies and temperature of 75F 24C made time spent outdoors a pleasure. The fractal cats, who never get outside to enjoy the weather, were unimpressed. My day was slow -- once I got the G.D. (graphic design) work out of the way that is. And better yet, tomorrow is due to be the same. The next FOTD will be posted in 24 hours. Until then, take care, and what color is the number 8? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Total_Confusion { ; time=0:02:40.92-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.679007675579299/+0.0786582104032291/\ 1.345969e+008/1/-145/0 params=1.732/0/2/0 float=y maxiter=5000 inside=0 logmap=155 periodicity=10 colors=0001AM19N18O17P17Q16R15S14T14U35V55V75W95WB\ 5XD5XF6XH6YJ6YL6ZN6ZO6ZN7XM8VM9TLARLBPKCNJDLJEJIFH\ IGFJHHJIJKJKKKMLLNLMPMNRMNSNOUNPVOQXORZPS_PTaMPaPT\ bSXbV`bXdb_hbblbdpbbnc`ldZkeXifVhgTfhRdiPcjNakL`lJ\ ZmHYmjyMfsKbmJZhHVbGRXFNSDJMCG99FHBEOCDVDCaEBhFAoG\ 9vHDsGGpFKnENkDRhCUfBXcA``9cZ8gW7jT6mR6hQ7dP7`O7WN\ 7SM7OL7JK7FJ7BI77I7CL7HN7MP7RR7WT7`W7eY7j_7oa7tc7Y\ bZBbzFazJazNazR`zV`zZ`zb_zf_zj_znZzrZzvZzqWvmTsiQp\ dNm`KjXIgTFdOCaK9ZG6WD1RC4TB6UA9V9BW8EX8GY7I_6L`5N\ a4Qb3Sc1Ml3Ud5`X7gP9nHAuAAqBAnCAjCAgDAcEA`EAXFAUGA\ QGANH8GGAKHCNIEQJGTKIXKK_LLbMNeNPiNRlOToPVrQWuQZqN\ anKdkIggFjdClaAgcFceK_gPViURkYNmbIogEql9rtAspAslBs\ hEosBsd5xO8wRAvTCuVEtXGsZIr`KqbMpdOogQniSmkUlmWkoY\ jq_is`kvahuaeuaguaiubkubmuboubqubsucuucwucwucwufzt\ czu`zuZwuWwuUwuRuuPsuMquKouHouFquHsrIupJvmKwkMxhNy\ fOzcPzaTzbQz_1z61z81zA1zC } 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 24-04-08 (Minibrot in Violet [6])
by Jim Muth 24 Apr '08

24 Apr '08

FOTD -- April 24, 2008 (Rating 6) Fractal visionaries and enthusiasts: Everyone knows that quadratic minibrots are surrounded by a symmetrical pattern of elements in the 2,4,8... series. Well, today's image shows that this is not always true. The minibrot at the center of today's image lies in an area devoid of any trace of symmetry. I named the image "Minibrot in Violet" after the irregular violet area surrounding the minibrot. And then I rated it at a 6. The image lies in the same area of the same parent fractal as yesterday's image, in the East Valley area of a different but still anomalous minibrot. The calculation time of just under 3 minutes is within reason. The finished image is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A mostly sunny and warm day here at Fractal central on Wednesday, with a temperature of 77F 25C, was not spoiled when a shower passed over at 6pm. The fractal cats missed the weather. They got into the catnip this afternoon and were several hours sobering up. Except for the goofy cats, my day was normal. The next FOTD image will be posted at the usual time in 24 hours. Until then, take care, and be patient. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Minibrot_in_Violet { ; time=0:02:58.51-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=conj passes=1 center-mag=-0.6494432062863946/+0.032501227941523/\ 34194.97/1/87.5/0 params=2.005/0/1/0 float=y maxiter=2750 inside=0 logmap=174 periodicity=10 colors=00041S31T11V01W63_C4bI5eO6hU8k_9neAqkBtAUp9\ To9Sn9Rm8Ql8Pk8Pj7Oi7Ni7Mh6Lg6Kf6Ke6Jd5Ic5Hb5Gb4Fa\ 4F`4E_3DZ3CY3BX3BX5CW6DW8EW9FVBGVCHVEIUFJUGKUILTJM\ TUNTcOSmPSzQSzzRzzRzzRvzbowZiuWcsSXpPRnLLlIKmJJmJI\ mKImKHmLGmLFmMFmMEnNDnNCnOCnOBnPAnP9nQ9nQAoRBoRCpR\ DpREpRFqRGqRHrSIrSJrSKsSLsSMtSNtSOtSPuTQuTRvTSvTTv\ TUwTVwTWxUXxUYxUZyU_yU`zUazUazUDjcCkcCldArgCmdDibF\ e`G`YHXWJTUKPSLKPNGNOCLP8JU8LZ8Mc8Nh8Ok7Ql8Pl9PlAP\ mBPmCPmDOnEOnFOnGOoHOoHNoINpJNpKNpLNqMMqNMqOMrPMrQ\ MrQMnOLkNKgMKdLJ`KIYJIUIHRHHNGGKFFGEFDDE8BBACECDGE\ DJGELHFOJFQLGTNHVPHYQI_SJaUJdWKfYLiZLk`MnbNpdNsfOu\ hPygOwfNueMsdLqcKobKmaJk`Ii_HgZGeYGcXFaWE_VDYUCWTB\ USBSRAQQ9OP8MO7KN7IM6GL5EK4CJ3AJ38K57K77K97KA7KC7K\ E7KF7KH7KJ7KL6KM6KO6KQ6LR6LT6LV6LW6LY6L_5La5Lb5Ld5\ Lf5Lg5Li5Lk5Mm3Lo5Lq6Ks7Ku8Jw9JxBIyCIzDIzEHzFHzHGz\ IGzJFzKFzLFzMEzOEzPDzQDzR } 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 23-04-08 (Very Dark Shadows [7])
by Jim Muth 22 Apr '08

22 Apr '08

FOTD -- April 23, 2008 (Rating 7) Fractal visionaries and enthusiasts: Today's lively fractal is infested with dark shadows, which is why I named it "Very Dark Shadows". The name has nothing to do with an old TV series, which is the only soap-operaish program I ever actually got interested in. It merely refers to the gloomy appearance of the image, which is entirely of my making. The parent fractal came about when I iterated the formula Z^(2.005)+C at a level one step up the infinitely-valued loga- rithmic ladder, with the 'conj' function applied. This function is probably totally wrong, but what the heck, it makes an inter- esting image, consisting of a near-normal Mandelbrot set rotated so that the period-4 bud on the southern shore of the main bay intersects the negative X-axis, which is where all the action lies. There is an anomalously large minibrot in this area, and today's scene is located in the East Valley of this minibrot. I might have made the image a lot brighter, but being in a kind of down mood despite the bright weather, I let it go with the depressed feeling created by the dark areas. At the end, I rated it at a 7. The calculation time of 13 minutes is slow, but nothing that any fractalist has never seen before. And the wait may be elimina- ted by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. They say that Pennsylvania had the best weather in the nation for our election on Tuesday. Being located in the center of the state, Fractal Central enjoyed the best day so far this spring. The blue skies, puffy white clouds, temperature of 73F 23C and lack of airplane contrails could hardly be beat. Being uninter- ested in politics, the fractal cats merely enjoyed the sun. My day was average; tomorrow looks to be the same. The next FOTD will be posted right here in 24 hours. Until then, take care, and even the most rational-thinking scientists admit that miracles are real. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Very_Dark_Shadows { ; time=0:13:18.46-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=conj passes=1 center-mag=-0.659994386833905/-0.0400706991520263/\ 4.475544e+011/1/-58.3/0 params=2.005/0/1/0 float=y maxiter=7500 inside=0 logmap=1270 periodicity=10 mathtolerance=0.05/1 colors=000TKUTKUTKUTKUTKUTKUTKUTKUTKUTKUTKUTJUTIUT\ IUTJUTJUTJUTJUTKUTLUTMUTNUTNUSOSPPRMQQJQPGROESNCTM\ BTLCUMCVNCVOCWPCXQCXRCYSCZTCZUC_VC`WC`XDaXDaYDbZDc\ _Dc`DdaDebDecDfdDgeGgfKhgPewUhzZkzcnzhqzmtzrwzvzzz\ rzvrzrrzmrvhrrcrmZrhWrcUrZWrUZrV`rWcrXfvVetWerXeqY\ eoZen_dl`dk`diadhbdfccddccecafc`fcZgbYhbWibVjbTkbS\ k_QiYPhWOfUMeSLdQKbOIaMH`JGZHFYFDXDCVBBU99T78R57Q1\ 3Q36P49P5CP7FP8HP9KPBNPCQPDTPEVPFVQFVQFVRFVRGVSGVS\ GVSGVTHVTHVUHVUHVUGUTGTSGSRGSRFRQFQP000FKOFONEOMEN\ M84C8CFEGKDKJDKIDEHDIHCIGCHFCGFCGECFDBECBECBDBBCAE\ 68C99BCAAFB8IC7KC6ND4QE3TFKUFHUF2VF3WE3XDzXCzrB5ZB\ 5UA5U96U86U77U77Q68_58b49b08c48d78eB7fE7gI7hL6rP6i\ S6jW5kZ5lb5me5mh6mi7mj8mk9mlAmmBmnCmoDmpEnqForGpsH\ qtIruJsvJtvIuuIvuHwvLxwPyxUzyZzzczzhzzmzzrzzvzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 22-04-08 (Deep Three [No Rating])
by Jim Muth 22 Apr '08

22 Apr '08

FOTD -- April 22, 2008 (No Rating) Fractal visionaries and enthusiasts: Yesterday's FOTD took us deep into Scepter Valley, the next valley beyond Seahorse Valley of the Mandelbrot set. Today's image takes us deep into the third valley out the negative X-axis, located around -1.368. I think this valley is named Double Scepter Valley. Unlimited intricate detail characterizes the scene. In fact, there is actually so much small detail that it becomes overwhelm- ing. Some of this excess detail is due to rendering the image with the 'outside' set to 'summ', which works best with this difficult-to-color fractal. Due to the unusually large maxiter of over 3-million, all variations of the logmap coloring method spread the bands much too wide, resulting in large areas of a single flat color. And shutting off the logmap gives an image of near total chaos. The 'summ' option is far from perfect, but it is about as good as can be done with this image. The 'real' and 'imag' options work almost exactly the same I named the image "Deep Three" because it lies deep in the third valley out the negative X-axis. I declined to give it a rating because I feel that if I had really worked on the raw image, I could have done notably better. But I have good news! The calculation time is a sizzling 1/100 of one second under 3 minutes. And even better news is that the finished image is posted for instant gratification on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy and mild conditions prevailed here at Fractal Central on Monday. A high temperature of 70F 21C was very close to normal. The fractal cats enjoyed the sun while it was out, and chased each other around F.C. when it was not. In my department, the work was finished on schedule, leaving the remainder of the afternoon free for a fractal search. The next FOTD will appear in 24 hours. Until then, take care, and be a big-time thinker. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_Three { ; time=0:02:59.99-SF5 on P4-2000 reset=2004 type=mandel passes=1 float=y center-mag=-1.368099862408421/+0.000169327019037/\ 7.392152e+009/1/-74/0 params=0/0 maxiter=3200000 bailout=9 inside=0 outside=summ periodicity=10 colors=00090zB0yC0uE0sG0qH0oH0kJ0iK0gN1dP3bQ4`S6ZS\ 7WU9UWBSXCPZEN`GKbHJbKGdNEfPCgQBiS7kU6mW4mX1oZ0q`0\ sb0ud0wf0yg0yi0zk0zm0zo0zq0zs0zu0zy0zw0zu0zu0zs0zs\ 0zq0zo0zo0zm0zm0zk0zk0zi0zg0zg0zf0zf0zd0zd0zb0z`0z\ `0zZ0zZ0zX0zX0zW0zU0yU0yS0yS0yQ0wQ0wP0wN0wN0wK0uK0\ uJ1uJ1uH3uG3sG4sE4sE6sC6uE4sC6sC6qC7qC7oC9oB9mBBmB\ BkBBkBCiBCi9Eg9Eg9Gf9Gf9Hd9Hd7Hb7Jb7J`7K`7KZ7NZ6NX\ 6NX6PW6PW6QU6QU4SS4SS4UQ4UQ4UP4WP3WN3XN3XK3ZK3ZK3Z\ P0SS0NW0GZ0Bb04f00i00m00q00w00u00s00s00q00q00o00m0\ 0m00k00k00i00g00g00f00f01d03b04b06`07`09Z0CX0EX1GW\ 1HW3JU4KQ6QS4PU4NW3NX3KZ1K`1Jb0Hd0Hf0Gg0Gi0Ek0Cm0C\ o0Bq5BsA9uF7wK7yP6zU6zU4zU3zU4zU6zU7zU9zU9zUBzKCzA\ Ez4Ez6Gz7Hz9JzBJzCKzENzGPzHPzKQzNSzPUzQWzSWzUXzWZz\ X`z``zbbzddzffzgfzigzkizmkzokumgmmffkdZkbUi`NiZGgX\ 9gW3fU0dW0fU0fS0gS1gQ1iQ3iP4kP6kN7kN7mK9mKBoJCoJEq\ HEqHGsGHsGJsEKuEKuCNwCPwB } END PARAMETER FILE=========================================

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