May 2008 - Fractint - mailman.xmission.com

FOTD 08-05-08 (Tongues of Fire [6.5])
by Jim Muth 07 May '08

07 May '08

FOTD -- May 08, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: I am often puzzled by dimensions. What are they? Are they merely the number of mutually perpendicular lines that can be erected through a single point in a given space? Or are the lines a mere indicator of dimension? Where do dimensions come from? Why is our universe limited to three spatial dimensions when a higher number would allow for far more varied phenomena? Since stable planetary orbits are impossible in spaces of dimensions greater than three, maybe intelligent life is possible only in our familiar 3-D space. But then why is it so easy for computers to work with higher dimensions, and so easy for humans to write about higher-dimensional phenomena, yet impossible for humans to visualize the things they write about? Before the 20th Century our universe was obviously three- dimensional. All we had to do was look at it. Then along came relativity, which made the universe four-dimensional. Next up was Kaluza Klein theory, which required a five-dimensional universe. When string theory burst upon the scene, it needed 26 dimensions, which were somehow compressed into ten dimensions, with six of them rolled up into infinitesimal hyper-loops. The last I heard, M-theory has upped this number to eleven dimensions, with seven of them curled-up invisibly, and who knows where we will go from here. It is beginning to appear, at least to me, (not at all the rational skeptic,) that the concept of dimensions is a human- invented mental construct, and what we know as visualized dimensions are actually manifested levels of consciousness. Humanity is at the three-dimensional level of consciousness. Yes, I know this sounds mystical, but I am no apologist for the hopelessly inadequate, common-sense Newtonian view of the universe, which I now see as a sub-set of a far broader reality, which is probably a sub-set of a still broader reality, and so on to infinity. But why worry about theoretical infinities when we have actual infinities in the world of fractals. Today's image came about when I subtracted 1/2 part of Z^4 from one part of Z^3 and added C to produce a parent fractal that resembles nothing as much as an angel lying on its side with its head facing east and a tongue of fire over its head. (This Sunday is Pentecost.) Today's image is located on the southern shore of this tongue of fire, and indeed has eight tongues of fire circling the central minibrot. I named the finished work "Tongues of Fire" and rated it at a 6-1/2. The calculation time of 3-1/2 minutes is bordering on slowness, but still brief enough to make running the included parameter file almost a joy. For those with over-qualified computers, the finished image is posted for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Perfect spring weather prevailed all day Wednesday here at Fractal Central. The sky was clear, the wind was light, the humidity was low and the temperature reached 81F 27C. The fractal cats were more concerned with the pigeons pecking for scraps on the sidewalk. My day was slow enough to leave time for both a fractal and a philosophical discussion. And better yet, it looks like tomorrow will be the same. Until next time, take care and you can't get a universe from absolutely nothing, which means there always was something rather than nothing. (Don't ask why that something has always been there.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Tongues_of_Fire { ; time=0:03:32.62-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.396812017323909/-0.0389524851568373/\ 3.840418e+011/1/-27.5/0 params=1/3/-0.5/4/0/0/0/0 float=y maxiter=3200 inside=0 logmap=400 periodicity=10 mathtolerance=0.05/1 colors=000FARGARHAQIAPJAOKANKAMKALKAKKAKKBKKCKKDLK\ ENKFNKGOKHPKIRKJSMKTOLUQMUSNVUOWWPXYQX_RYaSZbT_bU_\ cV`cTabRbaQbbP_dOXeOUgNRhNOf`BfYAfU9fQ8AA7pS6zm5zd\ 4zY3yS2tL1p66_BBXGFTLKQQONUTKZXGcaDheAmj7qn`qZ_o__\ m`ZlaZjbZhcYgdYeeYcfXbgX`hX_iWWmVTpUQsTNvWQuYSu_Vu\ aXtc_teathcsjfslhsnkrpmrrorqmoqklqijphgpfepdboc_oa\ Yo_VoZTnXRmVQmTOlRNlPLkNKjLJjJHiHGiFEhDDhBCQFW8Io9\ KmALkBMjCNhDOgEPeFQcGRbHS`IT_JUYKVWLWVMXTNYSSWQXTO\ aRMfOKTvTbcNTzlVwhXseZob`l_bhXdbUfXRCRSBVUBYXA`_Ac\ aAfd9jg9mi8pl8so8vqWierYUTNfVMdWMbYM`ZMZ_MYaMWaMUa\ MSaMX`Mc_Mc_Mc`Mc1Wm5Vm8UmBUmETmHSmKSmNRRRQQUQPXPO\ _OMbOLeNKhMJJn8Mk9PhASeBVbCY_D`XEcUFfRGiOHkRskQnkP\ ikPdkO`kNWkNRkMMGchJceMccOcaRd_UeXWfVZgTahRciOfjMi\ kKRlQamM8nvCqrFtoIwkMzhPzdSzazzZzzVzzSzzOzzLzzTzzN\ zz2zz8zzDzzQzzOzzNzzMzzLzzKhzzizzjzzjzzjzzjzzjzzjz\ zjzzkzzkzzkzzUzzSzzQzeLzz } 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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Re: [Fractint] Fractint Issue for the developers?
by JackOfTradeZ＠comcast.net 07 May '08

07 May '08

. Those of you that have seen my deep zoom videos may have noticed that at a few points along the way the sequence "jerks" or stutters with distortion. This has nagged at me for years and I have pulled my hair out trying to figure it out. Turns out to be rather simple, and I have been kicking myself constantly for not having realized it sooner. I have been in communication with Michael Condron, who runs the new http://www.hpdz.net/ web site (you all should check out), and he has been comparing his home-grown software (which is apparently quite good) with fractint; we may collaborate on animations in the future if we can get our codes to match. He pointed out that fractint may not be jumping to a high enough level of precision soon enough when in arbitrary precision math mode. I re-rendered a couple of the jerky sequences using the "BFDIGITS" command to force a higher precision, and yes - it works! They render perfectly smooth. So now I am re-doing the famous Universe-3 and the current Universe-6 with this correction. Since fractint doesn't "know" I am rendering thousands of images for an animation, it has to be assumed that this problem can occur unpredictably at any point or time when a deep image is being rendered. Thus people rendering deep images may see a distorted oval where a circle should be etc., and would never know that it is a distortion - it would just look like another cool fractal! I wouldn't call this a "bug" or "software issue", it seems to me that a small change in the fractint SC should fix it, maybe the number of a single variable. It looks like a whole lot of tight "C" and "ASM" code, mostly way over my humble head, but a fix might be: I think correcting this in fractint may be as simple as changing a single variable in the code: IF (magnification = xxx) THEN (precision = xxx * c) END IF something like that. Of course, higher precision means longer render time, so a balance must be struck. My observation so far suggests that a single order increment should fix it. Stay Amazed! JoTz .

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FOTD 07-05-08 (Something Imaginary [5])
by Jim Muth 07 May '08

07 May '08

FOTD -- May 07, 2008 (Rating 5) Fractal visionaries and enthusiasts: Today, I'm in more of a philosophical mood than a fractal mood, so pardon me if I make a little diversion before getting to the Fractal of the Day. Those bored with opinionated philosophy may skip to the ninth paragraph. In the distant past, when I was just learning about the world, I read every book of popularized science that I could get my hands on. The books answered most of my childhood questions such as: how far away are the stars?, why does the wind blow?, how old is the earth?, what is the tallest mountain and the tallest water- fall?, (I found it was not Yosemite), where does lava come from?, where do meteors come from? My list of questions was nearly endless, and I found the answers to most of them in the 'science' books I read. But now that I am closer to the other end of life, my list of questions has changed, and I feel that the science I once almost worshipped has let me down. True, my questions are now more difficult. My head is filled by unanswered and perhaps unans- werable questions, such as: what is the meaning of life?, where did our unique individualities come from and where will we go from here? Answers such as: the meaning of life is 42, (ask a deaf person what 42 means), we came from oblivion and we will return to oblivion, are merely silly. Equally silly are attempts to avoid answering the questions by blaming our genes for programming us to invent such ultimately meaningless questions. But perhaps the most evasive and offensive thing I have heard is the standard Atheistic reply that men lack the courage to accept the harsh reality that deep inside they fear is actually true. This is perhaps the most destructive philosophy ever embraced by a thankfully small segment of humanity. Many years ago I tried and discarded such nihilistic Atheism, which like conventional dogmatic religion, raises more questions than it answers. (An Atheist once actually said to me that the physical universe is his god and science is his religion.) Perhaps it would be better for those running the oversized scien- tific corporation to stop wasting such immense sums of money in search of useless dream things such as 'higgs particles' and a 'theory of everything', and pause to find the courage to address the questions that people are really concerned about. Does all this mean that I believe in the supernatural? Maybe it does, or maybe not. But if things seem to be pointing in that direction, I will not curl into a ball and hide in the corner in fear of the unknown. I make no claims of having any answers, but of one thing I am certain. I have so far found even more unanswered questions in fractals than in the so-called 'real' world. Today's fractal image, by the way, lies in the parent that results when the formula Z^(2.01+0.03i)+C is iterated six levels up the complex logarithmic ladder. This parent fractal is basically a distorted Mandelbrot set rotated so that its main spike faces southwest. Today's scene showing an equally distorted minibrot is located in the much- broadened east branch of the valley setting off the large period-3 north bud. Since the image shows a minibrot surrounded by nothing much of interest, I could rate it at only a 5. The name "Something Imaginary" refers to the imaginary part of the exponent of Z. The calculation time of 4 minutes is a bit longer than I would have preferred, but still well within reason. The most reason- able way of all to view the image however is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoy it as much as possible there. A day that could have been perfect was spoiled by a series of light showers in the early afternoon here at Fractal Central on Tuesday. But despite the rain, the temperature reached 72F 22C, earning the approval of the fractal cats. My day was slow enough to be satisfactory, but not good enough to be exceptional. The next FOTD will appear in 24 hours, when perhaps I can get out of this fractal rut. Until then, take care, and I once was sure, but now I'm puzzled. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SomethingImaginary { ; time=0:04:04.96-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.54660864024034790/+0.989879191269876\ 70/126719.3/1/-117.5/0 params=2.01/0.03/6/0 float=y maxiter=2500 inside=0 logmap=200 periodicity=10 colors=000c3_d3Ze3Yf3Xg3Wg3Uh3Ti3Ri3Qk3Vl3_m3cn3ho\ 3mp3qn3ol3mj3kh4if6ge8ecAcaBb_D`YFZXHXVIVTKTRMRPOP\ OPOHWXAae4gm7fhAedEd`HcXLbTOaPR`KV_GYZCaY8dX4gW2m`\ DrdQwhbkbZ_YWOTTDOQ4NK4LL4JM4IN4GO4EP4DQ4BR49R48S4\ 6T44U43V43W43X43X43Y63Z94ZC6_E8_HA`KC`NEaQGaSIbVKb\ YMc`OccQdeSdgUchVcjWckXcmYcnZco_cq`cractbcuccwdcxe\ cyfcucdq`dnYejVegSecPf`MfXKgUHgQEgNBhJ8hG5iC3i93iC\ 5`E9SHEKJIBLM3JL5IL6HK7GK8FJ9Ge2Db2B_28X26U24R2BU2\ HW8OZFU`L_bSfeZlgeriknm2mi2lf2lb5k_8jWBjTEiPHhMKhI\ NgFQfBTf8Wg7Xg7Xg7Xg6Xg6Xg6Yg5Yg5Yh5Yh4Yh4Zh4Zh3Zh\ 3Zh3Zh3Ze8abCd_HgXLjUQmRUpOYsSXrVXrYXq`WqcWpfWpiVo\ lVooVoNW6OU6OT6OS6PR6PQ6PP6QO6QN6QM6RL6RK6RJ6TM9VP\ CWSFYVI_YL``ObbRceUehXgk_hnbjqekchkZMkZ2eZ2`Z2WZ2R\ Z2LZ2GZ2BZ26Z2BZ2GZ2LZ2Qh4Vs6Wu8`z9`zB`zC`zEgzFgzH\ lzIqzKvzLzzNzzOzzQzzRzzSzzJzzzzzzzzzzzzzzzzzzzzzzz\ 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 06-05-08 (Hidden Spiral [?])
by Jim Muth 05 May '08

05 May '08

FOTD -- May 06, 2008 (Rating ?) Fractal visionaries and enthusiasts: How should one rate an image that might not even be a fractal? I certainly don't know, which is why I consider the rating of today's image to be a question. The image exists in the same empty circle that held the most recent FOTD image of two days ago. But today, instead of butter- fly-like elements, we have a vague and hard to see spiral that exists in the near-chaos that fills the empty circle when the 'bof61' inside fill is applied to the emptiness. I named the image "Hidden Spiral" because, unless the function and parameters are set exactly right, the spiral vanishes. The calculation time of 1-2/3 minutes means that no great amount of time will have been wasted if the image fails to satisfy. One way of being sure of satisfaction however is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image, which is posted there. Ideal spring weather prevailed here at Fractal Central on Monday, with full sun and a temperature of 70F 21C. The fractal cats passed the day unconcerned with the weather, even growing bored with their catnip rats. My day was average; the next FOTD is due in 24 hours, and for all I know, it will probably appear as scheduled. Until then, take care, and what is the significance of the number 42? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hidden_Spiral { ; time=0:01:38.98-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=Mystic2 function=tan passes=1 center-mag=-0.183903/0.273552/25.7373 params=4.28/1.3/5.12/-0.2/1.457/6.484 float=y maxiter=160 inside=bof61 periodicity=10 colors=000z00z00z00z00z00z00z00z00z60qG0lP0cZ0Uh0K\ q0Bz06z00z00z00z00z00z00z00z00z00z00z00z00z00z00z0\ 0z00i06q0Gi0Pm0GmBBhP2pc0zq0zz0zz0zz0zz0zz0zz0zz0z\ z0zz0zz0zz0zz0zz0zz0zzAzzKzzUzzZzzezzizzmzzozzqzzs\ zztzzszzqzzozzmzzjzzgzzczzZzzUzzPzz2hzPPzl2zzAzzKz\ zUzzZzzczzhzzmzzmzzmzzhzzczzZzzUzzPzzKz00000000000\ 000000000000000000000000000000000000000000000000h0\ Kz0hz0qz0vz0zz0zz0zz0zz0zq0xc0sP0jB0c00c00c00f00c0\ 0c00c00c00c00c00c00Z00P00K00B006002002000200600620\ B20B60GB0KB0KG0PK0UK0UP0ZU0UP0ZP0ZP0cP0cP0cP0hK0hK\ 0hK0lK0lP0qP0qP0qP0vP0vP0vK0zG0zB0zB0zB0zB0zB0zB0z\ 60z60z60z60z60z60z60z60z60z60z60z60z60z66z6Gz6Pz6Z\ z6hz6lz6vz6zz6zz6zz6zz6zz6zz6zz6zz6zz6zz6zzKzzUzzc\ zzlzzvzzzzzzzzzzzzqzzczzUlzGcz6Uz0Kz6PzGUzKZzUZzZc\ zhhqllcvlPzqGzv2zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0z\ z0zz0zz0zz0zz0zz0zz0zz0zz } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

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No FOTD for May 5
by Jim Muth 05 May '08

05 May '08

Fractal visionaries and enthusiasts: There will be no FOTD for May 5. The FOTD for May 6 will appear on schedule. Jim Muth

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FOTD 04-05-08 (Where's the Fractal [What Rating?])
by Jim Muth 04 May '08

04 May '08

FOTD -- May 04, 2008 (What Rating?) Fractal visionaries and enthusiasts: To create today's image, I dredged up an old formula that I have not worked with for quite a while. I forget what the formula was originally supposed to do, but that doesn't matter. As today's image shows, the formula creates some strikingly unusual scenes, fractal or not. The parent fractal of today's image is not a fractal. It's only an empty circle. Regardless of how the parameters and function are tweaked, the Mystic2 formula draws nothing but flat black empty circles. But when those circles are rendered with an active inside fill and the parameters are set just right, all kinds of strange things happen. Today's image is but a tiny part of the unexpected things that can happen invisibly inside an empty circle. I named today's image "Where's the Fractal?". Actually I'm not sure that it is technically a fractal, consisting entirely as it does of 'inside' stuff. But it has enough fractal characteris- tics to pass muster as the FOTD for May 4. Since I'm not sure that the image actually is a fractal, how could I rate it? If I were pressed to give it a rating however, I would choose something around an 8. The 1-2/3 minute calculation time should cause no grief out there in fractal land. And with the finished image posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> satisfaction is virtually guaranteed. The sky was cloudy here at Fractal Central on Saturday, and the temperature never rose above 61F 16C, but the rain held off until 7pm, when all the outside stiff had been completed. The fractal cats, never ones to be worried about weather, spent the day guarding their chosen catnip rats. My day was uneventful. If tomorrow is the same, I'll consider the week-end a success. The next FOTD will appear in 24 hours. Until then, take care, and to be considered the greatest thinker in history, find the answer to the riddle of the universe. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Where's_theFractal { ; time=0:01:41.23-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=Mystic2 function=tan passes=1 center-mag=0.6817/0.318939/21/1/160/0 params=4.28/1.3/5.12/-0.2/1.457/6.484 float=y maxiter=160 inside=bof61 periodicity=10 colors=000UUUKUXUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU\ UU000JF4000PQpQSoSTnTVmVXlWYkY_j_`i`bhbdgcegegffie\ hjdilckmbmoanq`pr_qtZsvYtwXvyWwzWmqRciMUaIT`HS`GR`\ GQ`FP`EO`DN`CM`BL`AK`AImYHytJusLrsaCAbBBbABc9Cd7Ce\ 6Df5Df4Da8GYCIUGKQKNMOPISREVTEUSETSESSESSERREQREQR\ EPREOQEOQENQEMQEMPELPEKPEKPGMNINMKOLLPKNRJPSIRTHSU\ GUVFWXEYYDZZC`_Bb`Adb9ec8gd7ze6jf5gc7da8a_9ZYBWVCT\ TDQRFNPGLNHMOGMOGMOFNOFNOENOENOEOODOODOOCPPCPPCPPB\ PPBQPAQPAQPARP9RP9RP8RP8SQ8SQ7SQ7TQ6TQ6TQ6TQ5UQ5UQ\ 4UQ4UQ4VN7VLAVIDVGGWDIWBLW8OW6RW4TV6UV7VU8WU9XTBYT\ CYSDZSE_RG`RHaQIbQJbPLcPMdONeOOfOPfQQgRRgTRhUShWSi\ XTiZTj_UjaUkbVkdVleWlfXmhXmiYnkYnlZonZoo_pq_pr`qt`\ quarvaru_stZstYssWssVtrUtqStqRtpQupOuoNunMunKvmJvm\ IvlGvkFwkEwjCwjBwiAxh8xh7xg6xg5xVHhJTUKSXLRZLRaMQc\ NQfNPhOPkPOmPOoSPpUQpWRqYSq_TqbUrdVrfWrhXsjYslZso_\ tq`tsatubuwcuyduIJtKLsMNr } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

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FOTD 03-05-08 (Flying Staghorns [No Rating])
by Jim Muth 02 May '08

02 May '08

FOTD -- May 03, 2008 (No Rating) Fractal visionaries and enthusiasts: Today's parent fractal, which was found when 3/4 part of Z^(1.33) is subtracted from 3/4 part of Z^(1.13), resembles nothing as much as a monstrous waddling duck turned on its side, with today's image located on the southwest shore line of the main bay, near one of the duck's webbed feet. I named the image "Flying Staghorns". At one time I thought I saw antlers in the image, but now I'm not so sure. (At least there were no antlers in the tree tops.) Since today's image is almost a repeat of yesterday's image, I could give it no rating. The calculation time of 1-3/4 minutes is just about right for such a casually crafted image. And as always, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be viewed instantly and near-effortlessly. Friday turned out unexpectedly pleasant here at Fractal Central, with hazy skies and a temperature of 73F 13C. The fractal cats ignored the weather and got into another spat over their catnip rat. Late in the day, we finally setlled the ongoing dispute by getting a second catnip rat. Now both cats have their own rat. My day was fairly busy; tomorrow promises to be slower. The next FOTD will appear in 24 hours. Until then, take care, and I lost my mind this morning, but after a short search I found it lying behind the waste basket. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Flying_Staghorns { ; time=0:01:47.50-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-5.11542429/-12.1715054/899.9603/1/-90/0 params=0.75/1.13/-0.75/1.33/0/1500/0/0 float=y maxiter=800 inside=0 logmap=66 periodicity=10 colors=000OFOPFMQGJRHHSIFTJCUJAWJ8YI6_I5_G4YE4UB3Q\ 72M42P76SA9VDDYGG`JKcMNePRhSUkVYnY`q`dtcgwfkyhnqem\ jbmb_lWTlOUkHPkLOiPPhSPfWPeZPdbObeOaiN_lNZpNYsMWwM\ VzMUnO`bQfRSlGUrFWsFYsFZsE`sEasEcsDdsDfsDgsCisCjsC\ lsCmsEkqFipHgoIfmKdlLbkM`iO_hPYgRWeSUdTTcRVdQWePYf\ OZfN`gLahKchJdiIfjHgjKamNXoQSqTNsWIuYDwdgScdQcaOc_\ NcXLbVKbSIbQHbNFbLEgSOlYXpceuinyowrnplnifnc_nXUnQO\ nKRlNTjPVhRXfTZeV`cXbaZe_agYciXekVgmTioRkqPzsOzoNz\ kMzgMzcLz_LzWKzSKzOJzLJzJGzHEzFCzDAzB8zB7zB7zC8zC9\ zC9zDAzDBzDBzECzEDzEDzFEzFFzFFzGGzGHzGHzHIzHJzHJzV\ 9zIIzIIzJHzJHzKHzKGzLGzLGzLFzMFzMFzNEzNEzOEzODzODz\ PDzPCzQCzQCzRBzRBzSBzSAzSAzTAzT9zUAzUFzVMzVSzDUzFZ\ zGczIczJczLczMczOczPczRczSczUczMczNczNczNczNczNczN\ czNczNczNczNczOmzOmzOmzOmzOmzOtzOtzOtzOtzOtzPtzPtz\ PtzPtzPtzPtzPtzPtzPtzPtzQtzQzzQzzQzzQzzQzzQzzQzzQz\ zQzzRzzRzzRzzRzzRzzRzzzzz } 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 02-05-08 (Even More Spirals [7])
by Jim Muth 01 May '08

01 May '08

FOTD -- May 02, 2008 (Rating 7) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that appears when 3/4 part of Z^(1.6) is subtracted from 3/4 part of Z^(1.4) and (C) is added. Once again this parent is an oversized monstrosity closely resembling a Mandelbrot set rotated 180 degrees, but with no main spike and a spiral-filled East Valley that lies on the west side and is beginning to be swallowed up. Today's scene is located in a spiral in the East Valley area of its parent. I named the image "Even More Spirals" in recognition of the abundance of spirals favored by fractal artists. Actually, there's nothing wrong with spirals, just like there's nothing wrong with the crew of the star-ship Enterprise being possessed by alien spirits from space. After giving the image its name, I rated it at a 7, which is good enough, though far from outstanding. If I had put a bit more effort into the coloring, I might have raised the rating to a 7-1/2, but I decided to browse through some old Scientific American magazines from 1963 instead. (I find the 45-year-old issues more interesting than the current over-designed and some- what pretentious ones.) The included parameter file runs on my 2000mhz fireball in 1-1/4 minutes -- not too bad for an image that rates a 7. And for those who cannot, or prefer not, to run parameter files, the completed image is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Morning sun on Thursday gave way to afternoon clouds and evening sprinkles here at Fractal Central, while the temperature reached 59F 15C and the fractal cats argued over their catnip rat. My day was slow enough. Tomorrow is likely to be the same. The next fractal will be posted in 24 hours. Until then, take care, and what ever happened to all those wonderful hi-tech products, which the promoters told us that the space shuttle program and space station were going to make possible? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Even_More_Spirals { ; time=0:01:17.76-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-2.352816253126894/-0.5553738233918362/\ 2.85e+008/1/87.5/0 params=0.75/1.4/-0.75/1.6/0/525\ /0/0 float=y maxiter=1500 inside=0 logmap=134 periodicity=10 colors=000bMKaLK`KKZJKXIKVHKTGKRFKPEKNDKMCKLBKKAKJ\ 9KI8KQ8MWHOUKPUNRUOTUOUUQWUSXZWV`YTc_SiaQmbOm_NmZL\ nXKo_NobQodUogZojcpnhsqmvurzzvzzzzzznrzlmyjgxhbwdd\ v`fvXhvTjvPlvLmvHovDqv9sv5uv2vv4su5pu7nu8ktAhtBftD\ ctE`uGZvHWwJTxKRyMOzNMzUMz`MzgMznMztMzpOzmQzjSzfUz\ cWz`YzX_zUazRczNezKgzHizEjzDhzDfzCezCczBbzB`zAZzAY\ z9Wz9Vz8Tz8SzENzJIzPEzU9z_4zd0zb4za7z`AzZEzYHzXKzW\ OzURzTUzSYzR`zPczOgzNjzMmzSkzYizcgziezoczuazz_zxYz\ wXzvWzuVztTzsSzrRzqQzpPzoNznMzmLzlKzkJzlKzlLzlMzmN\ zmOzmPzmPznQznRznSzoTzoUzoVzoVzrFzmHzhJzcLzZNzUPzP\ RzKTzFVzAXz6Zz8YzAYzBXzDXzFWzGWzIVzJVzMSzPPzRMzUJz\ XGzZDzaAzd7zf5zg8zhBziDziGzjIzkLzlNzlQzmSznVzoXzo_\ zpazqdzqfzqczq`zqZzqWzqUzqRzqOzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzhzz1zz6zzBzzGzzLzzQzz\ Vzz_zzdzzzzzwzzXzzWzzVzzb } 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 01-05-08 (Oodles of Spirals [7])
by Jim Muth 01 May '08

01 May '08

FOTD -- May 01, 2008 (Rating 7) Fractal visionaries and enthusiasts: The parent fractal of today's image resembles a crinkled knockwurst with a squashed bud on the west side of its V-shaped main bay. Today's scene is located on the inside of the north branch of the valley that encloses this bud. Rarely have I seen a fractal with so many spirals. The name "Oodles of Spirals" came almost automatically. I could have named it 'A Slew of Spirals' but I'm not sure how many a slew is. At first glance the coloring impressed me as having too many blues and greens, and not enough reds, but the longer I looked at the colors, the better they appeared to me. When the time came to rate the image, I pulled a 7 out of the fractal basket, and the rating stuck. The calculation time of only 1-1/2 minutes will make life a joy for even the busiest fractalist. And if even 99.86 seconds is too much to spare, the finished image may be accessed in its full glory on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Unusually brisk weather prevailed here at Fractal Central on Wednesday. The sun was strong, but a biting north wind and morning temperature of 36F 2C made it feel more like February. The fractal cats agreed as they fought for possession of their catnip rat. My day was about as routine as a day can be. The next FOTD will be posted in its full glory only 24 hours from now. Until then, take care, and if ghosts exist only in the minds of the super- stitious, they do in fact exist, but exactly where are these ghosts located? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Oodles_of_Spirals { ; time=0:01:39.86-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.5598091849845/+0.0619018865197/\ 6.05367e+007/1/-44/0 params=1/1.997/1/4.003/0/0/0/0 float=y maxiter=975 inside=0 logmap=97 periodicity=10 colors=000LpzLmwLltLjqKinKgkKehLdeMdbMd_NdXOeUOeTP\ eTPeSQeSSgUUiWWkYYm__oaaqccseergepidnlclnbjo_hoYel\ VbiT_fQXcOV`LTYJRVHPSENRCMP9JN7HK4EG2BC08928A4BC5D\ E7GF9IHALJCOLEQMFTOHVQJYSKZTM_UOZUQZUSYTUZUWZUXZUX\ _UW_UW_UW_UW`VV`VV`VV`VVaVVaVUaVUaVUbWUbWTbWTbWTcW\ TcWScWScWSdXSdXSdXRdXReXReXReXQeXQfYQfYQfYPfYQgYUi\ WZkUcmShoQmoOrsNvtNztNzsOzsOzrOzrPzrPwqPtqQqpQnpQk\ pRhoReoRbnSanS_nSZmTZmTYlTXlUXlUWkUVkVVjVUjVUkWTlY\ Sm_SmaRncQneQogPoi3ok5nj6ni7mh9mgAlfBlfDkeEkdFjcGj\ bIiaJiaKh`Mh_NgZOeZOcZOcYNcXMcWLaVNdUs2yr3xq4wq5wp\ 6vo7vo7un8un9tmAtlBslCrkCrkDqjEqiFpiGphGohHogInfJn\ fKmeLleLldMkcNkcOjbPjaQiaQi`Rh`Sg_TgZUfZUfYVeYWeXX\ dWYdWZcVZcV_bU`aTaaTb`Sc`Sc_Rd_QeZQfZPgYzzFzzGzzGz\ zHzzHzzHzzIzzIzzIzzJzzJzzKzzKzzKzzLzzLzzLzzMzzMzzN\ zzNzzNzzOzzOzzOzzPzzPzzQzzQzzQzzRzzRzzRzzSzzSzzTzz\ TzzTzzUzzUzzUzzVzzVzzkzzn } 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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