December 2005 - Fractint - mailman.xmission.com

FOTD 28-12-05 (Blue Galaxy [5])
by Jim Muth 28 Jan '06

28 Jan '06

FOTD -- December 28, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a scene in a valley of a fractal that was found hurriedly by the evolver feature of Fractint. This explains the unusually precise parameters. The name "Blue Galaxy" came to mind as I studied the image with my mind shut off. (It's a good trick, but no one noticed a difference.) The rating of 5 might be a bit disappointing, especially for an image that takes 1/2 hour to finish. Salvation from boredom is at hand however on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted for easy download and enjoyment. Holidays always get my philosophical juices flowing, and this is the peak time of year for holidays. So expect some enlightening words of true wisdom within a week, or, depending on one's point of view, some confused and misleading blather. Except for a wet Sunday, conditions were passable here at the old Fractal Central over the past several days. The cats made the most of things, aided by extra generous servings of tuna. For me the holidays went acceptably well, but the work is again piling up, and it will take a couple days to get things under control. The next FOTD will appear in 24 hours. Until then, take care, and could atoms be made of thought? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Blue_Galaxy { ; time=X:XX:XX.XX--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.204483624242131/-0.00080781296188986\ /4.825934e+007/1/98/-1e-007 params=1.7161107211/-\ 1.20544145/2.6332041383/-9.0433088168/0/500 float=y maxiter=6000 inside=0 logmap=375 periodicity=10 colors=000r`jr_jrZiqYhqXhqWgqVfqUfqTepSdpRdpQcpQbp\ PapOaoN`oM_oL_oKZoJYoIYnHXnGWnFWnEVnDUnDUmFVmHVmIW\ mKWmLXlNXlOXlQYlSYlTZlVZkW_kY_kZ_k``kb`jcajeajfbjh\ bjibjkcimcindipdiqeiseiteirdiqcipbioain`im_il_jk`j\ jajibkhckgdkfekefldglchlaim`jm`km_lmZmnYnnXonWpoVq\ oUroTsoStlUriVqgXodYnbZm_`kYajVbiTdgQefOfeLhcJibGj\ aEl_BmZ9nY8kW7hU6eT5bR4_P4YO3VM2SK1PJ0MH0KG2LJ3ML5\ NN6OP7PS9QUARWCSYDT_EUbGVdHWfJXhKYkLZmN_oO`qQasRbv\ ScxUdzVezWezUczTbyS`wQ_uPZrOXpMWnLVlKTiISgHReGPcEO\ aDMZCLXAKV9IT8HQ6GO5EM4DK3CI4DK4DL4DM4EN4EP4EQ4ET4\ FU4FW4FX4FZ4G_4Gb5Ge5Hg5Hi5Hk5Hl5Im5Io5Ip5Iq5Jr5Js\ 5Js5Jt6Ms6Ou7Qr8Tp8Vo9YmA_l8_h9_jAazB_zCdzDjzElzFl\ zGjzIgzJ_zKTyLOwMMtNNrONoPOmQPjRPhTQfUQeVRcWRbXS`Y\ S_ZTY_UX`UVaVUbVSdWReWPfXOgYMhYLiZJjZIk_Gl_Fm`Do_A\ n`CmaDlbFkbGjcIidJhdLgeMffNefPdgQchSbhTaiV`jW_jXZk\ ZYl_XmaWmbVndUoeTogSphrak } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

3 4

FOTD 29-12-05 (Tan Tank [2])
by Jim Muth 29 Dec '05

29 Dec '05

FOTD -- December 29, 2005 (Rating 2) Fractal visionaries and enthusiasts: I rarely post a FOTD that rates as low as today's 2, but when I put only 3 minutes into finding a fractal and 30 seconds into coloring it, what else could be expected? Today's image, for what it is worth, is a scene in a valley of the fractal that results when negative portions of Z^(-1.5) and Z^(-6.6) are combined and (1/C) is added. I named the scene "Tan Tank". The color theme is tan, which is not one of my favorite colors, and the rating tanked. Luckily, the render time of under 6 minutes means that little time will be wasted running the included parameter file. Of course, if time is a total illusion, there is nothing to save. But that's another story. For the convenience of those with uncooperative computers, the finished image will soon be fully rendered and posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and a relatively mild temperature of 48F 9C here at Old Fractal Central on Wednesday gave the two fractal cats enough outdoor time to keep them happy. A stray cat was in the yard when Tippy emerged from the door, but the stray ran like **** when he saw Tippy. Little tuna was needed at the end of the day to insure contentment. My day was unexpectedly busy, and the next two or three days will be repeats, which is why there will be no further FOTD's until January 3. Until then, take care and try to think of the answer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Tan_Tank { ; time=0:05:45.27--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.47624901595563100/-1.940914188763939\ 00/461917.2/1/-105/8.99664807929578814e-010 params=-1/-1.5/-0.3/-6.6/0/0 float=y maxiter=650 inside=0 outside=tdis periodicity=10 colors=000`MbfK`lI_qHZmJWjLUgMSdOQaQOYRMVTKSVHPWFM\ YDI_BF`9Cb79d56e3FfBOgIWgPdhWlhbedg_alTYqNVvHSzITu\ JTpKUkLUfMUaNVXOVTPWOQWJRWESX9TX4UX0X`6_dBahGdlLfp\ QitVkx_mpboiepbgrVjtOmuHorImpJlmKkkKjhLifMgcMfaNeZ\ OdXOcYRXYTRYWKYYEY`7Yb1Z`2_Z2`X2aV2bT2cR2cQ2dO2eM2\ fK2gI2hG2hF2jK6lOAmSEoXIq`MrdQMpYOmWQjVSgUTdTVaSXZ\ RZWQ_TPaQOcNNeKMfILhKKiMJjOJkQIlRInTHoVGpXGqZFr_Ft\ aEucDveDwgCxhCumSrrfovumopkilibhgXceQ_cKWdKVdKVdKU\ dKUdKTeKTeKSeKSeKReKRfKQfKQfKPfKPfKOfKOfTRfaTfjWYS\ o_ZqaesclueswfyyUKRRLOOLMMMKJMIGMFENDBNB9N9MKPYHci\ FrjPkkZdlgZmqSnzM`hVNScABk8Fh6Je4Nb3Q`7NYBKWFHUJES\ NBQIlnJlmJllJlkKljKki_b6KkiLkhLkgLkfMjeMjdMjdNjcNj\ bNiaOi`Oi_Oi_PiZPhYPhXQhWQhVQhVRgURgTRgSSgRSgQSfQT\ fPTfOTfNUfMUeLUeLVeKVeJVeIWdHWdGWdGXdFXdEXcDYcCYcB\ YcBZcAZb9Zb8_b7_b6I5rJ6qJ6qJ6pJ7pJ7oK7oK8nK8nK8mK9\ mK9lL9lLAkLAkLAjLBjLBiMBi } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Thoughts about thoughts and the late FOTD
by Jim Muth 29 Dec '05

29 Dec '05

At 10:50 PM 12/28/05 GMT, it was written: > >could atoms be made of thought? > >Or thoughts made of atoms? > >Thought is a quantum phase phenomenon rooted in >subatomic particles. > >Until you give a thought concrete reality? Now let me see . . . Atoms are made of thought, and thought is made of atoms. Thought is a quantum phase phenomenon rooted in sub-atomic particles, until we give thought concrete reality, which is made of atoms, which are made of thought, which is a quantum phase phenomenon. I'm confused, but let me make one thing perfectly clear. The FOTD for December 29 will be delayed for about 10 hours, until I get this whole thought process about thought straightened out in my thoughts. . . . I guess . . . Jim M.

2 1

I'm back! All went well.
by Jim Muth 27 Dec '05

27 Dec '05

Fractal fans: Things went reasonably well over the holiday, and I'm back at the fractal machine, ready to launch another search for the world's best natural fractal. (IMO, man-made works of art based on fractals are not natural and do not count.) In addition to the fractals, I have a few new philosophical ideas brewing, which may mature in a few days and be posted on the philofractal list. The regular work is a bit on the heavy side today, so the next FOTD fractal might be a bit on the light side. But it will appear for sure about 12 hours from now. BTW, the fractal cats are in great shape. Jim M.

1 0

Defaults
by David Fisher 25 Dec '05

25 Dec '05

Does anyone know how to set the defaults on specific pages, ie, x, y or z in fractint without going out and back in? For example, when in the middle of creating, actually diddling, with the formulas, I go to another formula and all the settings go with me to the new screen. Is it possible there is some way to reset these pages to their original default values without exiting? Maybe a ctr-x for x, or alt-z for z? I have looked in the documents and couldn't any reference to this procedure. Help, anyone, please? David M Fisher

2 1

FOTD 22-12-05 (Santa Claws [5])
by Jim Muth 22 Dec '05

22 Dec '05

FOTD -- December 22, 2005 (Rating 5) Fractal visionaries and enthusiasts: Wednesday was so busy that I had no chance to write and post today's FOTD until this morning. Since the upcoming days will be even busier, the next FOTD will not appear until December 28. Today's image is a colorful scene in the Seahorse Valley area of the Julibrot. It is a totally oblique view, with an orientation closest to the Julia direction. I named the image "Santa Claws". The claw-like feature inspired the name. This claw is the edge of a larger feature, which is only being skimmed by today's slice. The tiny spiral in the lower right part of the frame is actually the most important feature in the image. Change the first 4 parameters to 90 to see it explode and take over the entire frame. Being an honest man, I could rate today's fractal no higher than an average 5. I really put almost no effort into it. The render time of 2-3/4 minutes is within reason for an average FOTD, and the fractal may also be accessed by downloading the finished GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it will soon be posted. Wednesday's weather was a repeat of Tuesday's here at the old Fractal Central. It was once again too blustery and chilly for sensitive fractal cats to venture out of doors. They spent the day toggling between sleep and watching the outside from the com- fort of their window shelf. My day was busier than average, but still well under control. However, with so much holiday stuff piling up, and with the search for the new Fractal Central still in full swing, I must take a 5-day break from the FOTD. The next FOTD will appear in 6 days, on or about December 28. Until then, take care, and wait with bated but not abated breath. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Santa_Claws { ; time=0:02:47.09--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=t logmap=yes center-mag=0.139971/-0.0401784/2.724938/1/120/0 params=85/79.5/70.3/84.9/-0.753/-0.033/-0.501/\ -0.017 float=y maxiter=2500 inside=0 periodicity=10 colors=000PNVHR_8Ve0Zj4`k7alBcmEdnIfoLgoOfoLenIdmF\ clCbkAajC`iE_hGZgIYfKXeMWdOVcQUbSTaUS`WR_YQZ_P_aO`\ dN`fM_iKYlIWoGUpESoCQnAOmDMlGLkJKjMQiPWhSbgVhfYne`\ leckdfjciibkhaig`hf_fe_ed_ec_eb_fa_g`_i__kZ_mY_oQh\ pIdrUaseZtqZrpZppZnpZlpZkpZipZgpZfpZfpZepZdpZdpZdp\ ZepZfpZff_fX_gO`hO`iOajOakOblObnOcpOcrOdtOdvOgvOkv\ OovOsvOwvOzvOyrRyoTxlVxiXxeZwb`w_cvXevTgvQiuNkuKmu\ HorGloFimFgnOanXWneQnnKnvEisJdqN_oRVmVQkZLicGggBek\ 6co1as5Zr8XrBUrESrINpMJnQFlUBjY7haAdeDahGYlJVpMSsP\ OwSLzVIuTJpSJkRJgQJbOKYNKTMKPLKSJLVIMXHN_FOaEPdDPg\ BQiARl9Sn7Tq6Us5UgEhXMwUOpSQjQScOUYLWRJYLH_EFa8H`C\ I_GKZKLYONXROWVQVZRUbTTfUSiaMYiGMqAAnCDlEGiFIgHLdJ\ NbKQ`MSYOVWPYTR_RTbOUdMWgKXiNZfP`dSbaUc_WeXZgV`hSb\ jQelOgmLjoJlqGnrEqtBsv9uw7sxEqxKpxQnxWlybkyhiyngyt\ fyzWvyMtxCrw2pwoMpmPolRokTniWnhYng_meamddlcflahl`j\ k_mkYojXqjWsjYqg_oeanccl` } frm:SliceJulibrot2 {; 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=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

1 0

FOTD 21-12-05 (Julibrot_Jubilee [5])
by Jim Muth 21 Dec '05

21 Dec '05

FOTD -- December 21, 2005 (Rating 5) Fractal visionaries and enthusiasts: It's the day of the Winter Solstice not only here at Fractal Central, but everywhere in the Northern Hemisphere. It's also the solstice in the Southern Hemisphere, but down there it's the Summer Solstice. The solstice is the shortest (or longest) day of the year, but it is not the day of the earliest sunset. Due to the earth's elliptic orbit, the earliest sunset came two weeks ago here at latitude 39N, and the latest sunrise will not come for two more weeks. It's all so confusing, but this is what those figure-eight things printed on the Pacific Ocean areas of world map globes are supposed to make clear. Today's image tells us that a small departure from the Julia orientation can make a huge change in the appearance of the resulting fractal. The image shows one of the Julia spirals connected with the period-4 bud on the northeast shoreline of the Mandelbrot set. The spiral is evident on the left side of the image. But it is no longer a spiral. The direction of the slice has been rotated in the fourth dimension a couple degrees from the Julia direction. This slight rotation has totally changed the scene from a nice neat spiral to a crazy "Julibrot Jubilee" of twisted arms and rioting colors. The horizontal blue bar across the lower part of the image is actually one of the valleys of the period-4 Mandelbrot bud, stretched out to near infinity. The rating of a 5 was held down by the coloring, which could have used much more work. Unfortunately for the rating, I was not in the mood to tweak colors. I would rather write philoso- phy, so I gave the palette a cursory fine tuning and started iterating. The render time of 2-3/4 minutes is acceptable to all but the most impatient or those with balky computers. For these fractal- ists the completed GIF image has been posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may quickly be downloaded. Yesterday I suspected that the philosophy bug might strike in the near future, causing another outburst of condensed wisdom. And indeed, as the following four paragraphs show, it did strike. I am occasionally asked if I hold a grudge against science and why I sometimes criticise it. The answer to the first part of the question is that I hold no grudge against science. How could I hold a grudge against so effective a discipline, which has given us the life we now enjoy? But sometimes I do get frustrated with those who continue to search for answers to deep questions using the same old methods that have failed for many decades. The physicist's search for a 'theory of everything' and the cognitive scientist's search for the 'origin of con- sciousness' are two immediate examples that come to mind. Ever more complex math and ever better imaging of neural acti- vity are keeping the excitement going by breeding ever more fantastic ideas. I have lost count of the number of 'new break- throughs' in both fields that have burst upon the scene with a flash of anticipation, then died a slow whimpering death, leav- ing the basic questions no closer to being answered. I no longer feel anticipation when I read of yet another new scienti- fic breakthrough that has occurred in these fields. I assume that the new breakthrough will soon prove to be just another dead end. So far I have not been wrong. I have been following these two searches with particular interest for many years, and after so many let-downs, I have come to suspect that they are two different aspects of the same search. I am also beginning to suspect that the traditional methods of science, which were developed to investigate the intuitive material world of our five senses, will never lead to the answers to questions about things so far beyond the range of the senses. At least, the physicists now realize that their answers will lie far beyond our intuitive material world view. Cognitive scientists are still searching the material brain for the non-material self. I guess we can't blame them. The physi- cists have given them nothing else to search. No, I am not suggesting that we surrender and say 'God did it', or visit the local fortune-teller for a psychic explanation, but I feel we will need a totally different approach to these and other difficult questions if we are to have any chance at all of finding answers. I am cannot imagine what course we might take. We would probably need a new means of verification. Entities such as probability waves and self-awareness are rather diffi- cult to spread on a table for dissection. At the same time, without empirical evidence, there is no science. The problem is deep, and at the present time I see no way out. Oh well, what the heck, this kind of stuff is what makes life interesting. Cold blustery weather kept the fractal cats snug indoors all day Tuesday here at Fractal Central. An extra treat of tuna in mid- afternoon kept them happy. The duo seems to have accepted that the next few months will be spent mostly inside. For me, the work was light and finished early. The next FOTD will probably appear on schedule in 24 hours. Until that wonderful time at last arrives, take care, and where are those answers hiding? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julibrot_Jubilee { ; time=0:02:41.26--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=t periodicity=10 center-mag=0/0.131074/3.138989/1/-90/3.8857806e-016 params=90/90.07/92.48/89.01/0.2438/0.5139/-0.0081/\ 0.5024 float=y maxiter=2500 inside=0 logmap=yes colors=0000A_pAZ0AYnAX0AWlAV0AUjAT09Sh8R07QfFP06Od\ KN05MbPL05L`RL04LXSL04LTQL04LPOL0TGNXLIVYNSURMWVBS\ Z0PWAVTJ`QTfNalLaqYafZac_aa_a_`UY2XnZVf_Sb_P_`MW`J\ TaGPmBNgCMaDMy6Rq8PjAObCNWEa9JhDIoHHuLGrPFlSGTaBLf\ 3Gi9FmEFmKFmPFqMHqPGlUFfWEQZIU_GY_Fa`De`CejDffCgcB\ h`BhYAiV9jS9kP8kM8hPCeRFcTI`VLYYOW_RT`ZTaYSbXRcXIc\ NQcKNcNKcPHcRFcTCcV9cX6cZ4c`8cZ9duAezBfkCgYDhKEilE\ jYAkK6l6GnHQiSRYpWai_dbAKRKSTU_VDu3cgW_`ZWUaTNcPGf\ L9iYPqQEnnKtYBoI3kOEWadLZZJXUIUPHSKGyH7gGBND3QFFSG\ RVIbXJnTPxZKydGyiCyo8yr5yt4yr6sq7mp8gnAamBWn3Jm6Lm\ 8NlAPlCQlESkGUkIWiHbkKXmMRoOLqQFsR7rS9qTBpUCoVEnWF\ mXHlYKkZJj_Ji`JhaIgbIfcEebGdaHc`Ib_KaZM`YO_XQZWSYV\ UXUWWVYVW_UXaTYcSZeRZgQZiPZkOZlNZmMZnLZoKZpKYqKYrK\ YsKYtKYuKYvKYwKXxKYyKYzKYzKYzKZzK_zK`zKazKbzKczKcz\ KczKczKczKczKczKczKezKgzKizKkzKlzKmzKnzKozKpzKqzKr\ zKszKtzKuzKvzKwzKxzKzzKzz } frm:SliceJulibrot2 {; 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=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

1 0

FOTD 20-12-05 (Mysterious Goings-On [NONE])
by Jim Muth 20 Dec '05

20 Dec '05

FOTD -- December 20, 2005 (Rating NONE) Fractal visionaries and enthusiasts: Today's fractal is not much to look at, but it holds deep math- ematical mysteries. The iterated formula is Z^2+C, but the image is neither a Julia set nor a perturbed Mandelbrot set. It is a simple slice in the Oblate direction through the center of the large bud centered at -1 on the X-axis of the classic Mandel- brot set. The real(c) value of every point of the image is -1, while the imag(z) value is zero. It is one of the most familiar slices of the Z^2+C Julibrot. Since the image is so familiar and I put almost no effort into coloring it, rating it according to the usual standards would be unfair. I chose to leave the image unrated and concentrate instead on the mathematics, which at least to me is a mystery. The number 1.618... is known as the golden ratio, or just the greek letter 'phi'. This number has the property of showing up in the most unexpected places, not the least of which is the Z^2+C Julibrot. It appears very prominently in several forms in today's image. To start, the limit of today's fractal on the X-axis is exactly + and - 1.618... . Next, the two sets of most prominent arms meet at + and - 0.618... on the X-axis, a value which is the reciprocal of 'phi'. In addition, the pair of arms beyond these meet at + and - 1.272..., which happens to be the square root of 'phi'. The next pair of arms meet at -1.507..., which is the square root of 1+(sqrt(phi)). I assume the series of signifi- cant numbers continues through the entire set of ever smaller arms, though I have not attempted to track them. I named the image "Mysterious Goings-On" because of the unexpec- ted numbers that appear in it. I assume that a math expert could easily supply a simple reason for this apparent mystery, but unfortunately I am no math expert. The render time of today's image is no mystery. It is one of the fastest FOTD images of all time. At a superluminal 2-1/4 seconds, it will try no one's patience. Those with over-quali- fied, handicapped computers may grow a bit impatient with their machines, but the completed GIF image is posted as always on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may swiftly be downloaded. A bit of philosophy is brewing, but is not yet ready to be made public. Stay tuned. Limited sunshine and cold temperatures kept the fractal cats safely indoors here at Fractal Central on Monday. But they appear to have been spoiled by my sister, who gave them all the tuna they could eat as she looked after them over the weekend, while we were away. It's no problem. I am not fooled by their guilt-inducing sulky stares. My day was moderately busy; the fractal was moderately successful. The next fractal will appear in 24 hours. Until then, take much care, and remember that things are almost always better elsewhere. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MysteriousGoingsOn { ; time=0:00:02.15--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 symmetry=xyaxis passes=b center-mag=0/0/0.7788162 params=0/0/90/0/-1/0/0/0 maxiter=1200 inside=255 float=y outside=real periodicity=yes colors=0007Qv7Mw7Ix7FxAGsCHnEIjGJeIK`KJXMHSODOSIUW\ NZ_UccZhgbmkfrojwnltmmqlonkpkjrhiseiubhv_gxXfyUezR\ dzOdzLezJfzIfzHgzGgzFhzDhzCizBizAjz9jz8bzEVzJNzOFz\ T7zYHzaRzd_zgczYgzOdzKgzNizQkzTmzVozYqz`szbpz`nz_k\ zZizYgzXdzWhzUmzTrzSvzRzzQzzPzzOzzQzzRzzSzzTzzVzzW\ zzXzzYzzZzz`zzazzbzzczzdzzbzzazz_zzZzzXzzWzzUzzTzz\ SzzQzzPzzNzzMzzKzzJzzIzzOzzUzz_zzezzkzzqzzpzzpzzoz\ zozznzznzzmzzmzzlzzlzzizzfzzdzzazzZzzXzzUzzRzzPzzM\ zzJzzHzzKzzNzzQzzTzzWzzZzz`zzZzzYzzXzzVzzUzzTzzRzz\ QzzPzzNzzMzzLzzJzzIzzHzzFzzEzzCzzBzz9zz8zz6zz5zz3z\ z2zz6zz9zzDzzGzzKzyNzxRzwUzvYzu`ztdzsgznjzimzdpz`s\ zakzbdzbYzcRzdKzdDzaCz_CzYCzVCzTCzRCzPCzKQzFczAqzB\ mzCizDfzEbzFZzGWzHSyHPvIQsIRqJSnJTlJTiKUgKVdLWbLX_\ LXYMYVMZTN_QN`ON`PM_QM_QLZRLZRKYSKYSJXTJXUJXUIWVIW\ VHVWHVWGUXGUXGUVFPTELREHPDCND8LC4KC0PH3TM5XR7aW9e`\ BidDDIIILMNNPSQTWSW`V_000 } frm:SliceJulibrot2 {; 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=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

1 0

FOTD 19-12-05 (Alien Landscape [5])
by Jim Muth 19 Dec '05

19 Dec '05

FOTD -- December 19, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today, with the aid of the SliceJulibrot2 formula, we enter 4-dimensional hyperspace. Hyperspace is any space of more than 3 dimensions. I confine my investigations to 4-dimensional hyperspace, which we can come the closest to visualizing with our 3-dimensional brains. The formula draws most slices of the 4-dimensional Z^2+C Julibrot figure. Being unable to visualize all possible orientations in 4-D hyperspace, I will not claim the formula draws every possible orientation, but I have not yet found a slice that it cannot draw. Today's slice is orientated close to the Parabolic direction, but rotated 1/3 of the way toward the Elliptic direction. As should be evident from the elements that resemble goofy eyes, the scene is located in the East Valley area of the Mandelbrot set. There are no 'inside' areas appearing in the image. The area that resembles a blue sky with patches of haze is actually composed of very high iteration 'outside' stuff made more interesting by being rendered with the outside=imag option. The picture vaguely resembles a scene on an alien planet, which is why I named it "Alien Landscape". The rating of a 5 shows that I am not thrilled with the result. The render time of 5-1/2 minutes is fair enough. Rendering may be totally eliminated by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The report is that the weather was uneventful at Fractal Central while we were away over the week-end. The ice-storm stayed well out of our way to the west and south. We found one possible home for the new Fractal Central, but it has problems that would need to be worked out. My sister reports that the fractal cats seemed unconcerned that fractal lady and I were gone for two days, though they were concerned that their accustomed tuna, might not be served on time. They also demanded that they be allowed to check the weather for themselves. The next FOTD will likely appear in 24 hours. (I will no longer say certainly.) Until then, take care, and not even the appearance of the FOTD fractals, is absolutely certain. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alien_Landscape { ; time=0:05:31.48--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=+0.25000501074059570/-0.051641324143515\ 65/4.739839e+008/0.04713/-156.857105609805927/65.4\ 90051767333938 params=30/90/0/0/0/0/0/1 float=y maxiter=500000 inside=0 outside=imag periodicity=10 colors=000jrWirVhrVgrUfrUfrTerTdrScrSbrRbqRaqQ`qQ_\ qPZqPZqOYqOXqNWqNVqMVqMUqLUqLUqKUqKUqKUoJUmJUlIUjI\ UhHUgHUeGUcGUbGT`FTZFSYESWERUDRTDQRCQPCPOCPMBPKBPJ\ APHAPF9PE9PC8PA8P98PB9PDAPFBQHBRJCSLDUNEZPETQFNRGH\ TIBUJ5VKSbSmi_nhVngQogLofGpfBpe6pe2nf6lf9kgCigFghI\ fhLdiOciRajU_jYZk`XkcWlfUliSmlRmoPnrOnuQmsRlqSkoUj\ mVjlWijXhhZgf_gd`fcaeacd_ddYecWfbVhaTi`Rj`Pl_NmZMn\ YKoYIqXGrWEsVDtVBvU9wT7xS5yS4wQ5uP6sO7qM8pL9nKAlIA\ jHBiGCgEDeDEcCFbAG`9GZ8HX6IW5JU4KS2PQ1UP6ZOCcOHhOM\ mNSrNWvN`zMezMezMezLezLezLezLfzKgzKgzKgzJfzJezJdzI\ dzIdzIdzIdzHdzGezFezEfzDfzDfzFgzGgzHgzIhzJhzKhzLhz\ NhzOdvPdrQdmRfhSieTleSjcRiaQg_PfYOdWNcUMaSL`QKZOJY\ MIWKHVIGTGFSEEQCEPAVEbUGaTH`SI_RKZRLYQMXPNWOPVOQUN\ RTMSSLURKVQKWPJXOIZNH_MH`LGaKFcJEdIDeHDfGChFBiEAjD\ AkDCjEDiFFhGGhHIgIJfILeJMeKNdLPcMQbMSbNTaOV`PW_QX_\ QZZR_YSaXTbXUdWVeVVgUWjrW } frm:SliceJulibrot2 {; 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=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

1 0

No FOTD until December 19
by Jim Muth 17 Dec '05

17 Dec '05

Fractal fans: Pay no attention to yesterday's promise that the next FOTD would appear in 24 hours. Due to the continuing search for the son of Fractal Central, there will be no FOTD for December 17 or 18. The FOTD will reappear on schedule on Monday, December 19, when I intend to begin a trip into hyperspace. Jim M.

1 0