November 2008 - Fractint - mailman.xmission.com

FOTD 21-11-08 (Cogwheel Conundrum [6.5])
by Jim Muth 20 Nov '08

20 Nov '08

FOTD -- November 21, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: More work than expected means less time to write a discussion than expected. Today's image is a Julia set that shares the Seahorse Valley features of the Mandelbrot set with features of a Z^16 Julia set. I named it "Cogwheel Conundrum" because the words fit together in a rather satisfying way. The rating of a 6.5 includes a 1/2 point bonus for my coloring, even though the colors were not as successful as they might have been. But the calculation time of 5 seconds is an absolute pleasure. An equal pleasure may be enjoyed by zooming out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoying the already-calculated image there. Heavy clouds, intermittent snow, and a temperature of 32F 0C kept things unpleasant here at Fractal Central on Thursday. Early in the day the fractal cats saw that they would have no sun, and took up their positions by the warmest radiators. Except for the work, my day was average. The next FOTD, hopefully a little better than average, will be posted in 24 hours. Until then, take care, and make waves. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Cogwheel_Conundrum { ; time=0:00:05.23-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5Julia center-mag=0/0/0.2869\ 198 params=16/3/-2.251/-0.653 float=y maxiter=500 inside=0 logmap=3 symmetry=origin periodicity=0 colors=01000`00b55eAHhFJlKMrPQtUVxZ`zcezhmzmtzrvzv\ xzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzozSoyLruSrqYsnb\ slhrjjohjmejlcjj_jhYjfUjdSjbPjaNjzzW_ozzlbPczueRFQ\ zlYD4AsbP002jUH06CaLS2zz2zz4zz6zz8zzAzzDzzFzzHzzJz\ zLzzNzzPzzRzzUzzWzuYzw_zwazybzydzyfzsdznbzhazc_LzY\ JzYHzWHzUFzSDzRBzNDzRDzSDzUFzWFzYFz_HzaHzbHzdulful\ huljullulpulrulsuluulwulyulzulzulzulzulzulzSEzSEzR\ FzPFzMFzLFzJFyHluFlsDlpBllAlj8lf6ld4la2l_0cW0cS0cR\ 0cN0cL0cH0cH0cF0cD0cB0cA0c80c80c60c40c20a00c00e00h\ 00j00l00u00n00h00c00c04c08c0Bc2Hc4Fc2Fc0Fc0Fc0Fc0F\ c0Fc0Dc0Dc0Dc0Dc0Dc0Dc0Dc0Dc0Bc0Bc0Bc0Bc0Bc0Bc0Bc0\ Bc0Hc0MUF0PlRfazzWwySuwRssNrqLmnJllFjhDhfAdc8ba6aY\ 2_W0YU0UW0SY0R_0Pa0Mc0Jc0He0Ff0Dh0Bj08j06l04n02p00\ q00q00s00u00w00y00u00y00z00z20z40z60z84zA6zBAzDBzF\ DzHHzJJzLMzNPzPSzRUzSYzU_zWdzUazW_zYYz_WzaUzbRzdPz\ f0zB0zU0zl0zz0zz0lz0Uy01z } frm:DivideBrot5Julia { ; Jim Muth z=pixel, c=(p2), a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 20-11-08 (Julia-Type Fantasy [7])
by Jim Muth 19 Nov '08

19 Nov '08

FOTD -- November 20, 2008 (Rating 7) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! Today's image was created with a new formula, the DivideBrot5Julia, which I wrote to calculate the Julia aspect of the Mandeloids created by the DivideBrot5 formula. It does its job quite well, and as today's image shows, does it in record time. The calculation time of today's image is no mistake. It finishes in a bit over 2 seconds. True, the XY-axis symmetry helps, but even with no symmetry, the image finishes in a mere 9 seconds. The name "Julia-Type Fantasy" came about when I first saw the image and thought 'that's fantastic'. Well, the truth is that I have occasionally seen similar Julia sets in my travels through Fractal Land, but today's image strikes me as one of the better ones. The rating of a 7 might have been higher if I had put a bit more effort into the coloring. And if the calculation time of 2 seconds is too fast, things may be slowed down by surfing to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there in a slightly slower time of one minute. Brilliant morning sun with a temperature of 23F -5C gave way to increasing clouds in the afternoon here at Fractal Central on Wednesday. The fractal cats would have preferred a bit more afternoon sun, but seemed happy enough, especially when the tuna treats appeared. My day was average. I expect a repeat tomorrow. The next FOTD will be posted to the Fractint list in 24 hours. Until then, take care, and when does that new world of peace, plenty, love and harmony get here? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia-Type_Fantasy { ; time=0:00:02.22-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5Julia center-mag=0/0/1.64892 params=16/1/-2.00004/0 float=y maxiter=260 inside=0 logmap=3 periodicity=0 symmetry=xyaxis colors=000HKhHOkHSnIWqI_tIcwOgzXksgnlrqezt_XiOB_DM\ SNSKXfNfpMpzLzlImZFa712K6GSAT_FffJscMrfOqhWpgbpgoo\ dlnagmZfmUfkKbj0ZhXhgRmfLrdFpc9sbcwZmzVzzz9mN9mJ9p\ GIzNRQT_K_hEeq8lz2rgOM`LEVI7WFDWCJXAOX7UY5ZY2dY0i_\ 3ea5bb7_d9XfBUgDRiFOjHL7RvCSrHTnMUjRUgWVc`W_dWXifT\ Fp6qkgM4FWLJeaMiI`kUXmeTShmcm`qWX`1VdFTgSSkdQNMwUU\ n`aegiXT09cRHd`nXzbbwYhtTj_RlhQmObnbWS534b2SjEyEz6\ 4sI_PZhP8JrNVh`fZzGhtZZ6FfTZYxR`sdV`cizzzZe_fkUJTh\ UaadiVqDkpRcodWAhcLk_VmWdoSNUnXaeeiX3zYRuTo2NnKOn`\ PFZsQ0oXEhbRahdVJBRRMQZXQfgP504HEASRFcdKmSvndeON0X\ Y9egHVsFarJhqM5UYLaV_iSGNFPVIYbKfjNKDCSOG_YJggMWjG\ enLOXRNJCF7YOJVXVTefRQfAXiEblIhoMWIAbUFheK3dv9sTNr\ R`qQUBn`QegcXoLrnUjnacniWL_GTdJ_hLgmNmvVntTnrRwh8S\ 4C_LHgaL_arCUpJNsQGuPDqOAmN7iM5eRTmWptPqeIrSBsE4t0\ 8`QCInITcOcUUnJ_x9O_5CB1tkJh50UO1Ge2MBWJLTHVQFdNSu\ YZvTCtrN12NgDLdAIa8GZ6H`E } frm:DivideBrot5Julia { ; Jim Muth z=pixel, c=(p2), a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 19-11-08 (Iterative Zygote [8])
by Jim Muth 18 Nov '08

18 Nov '08

FOTD -- November 19, 2008 (Rating 8) Fractal visionaries and enthusiasts: I have heard it said that life is the most complex thing in the universe. I hate to throw doubt on that near-mystical state- ment, but with their infinite complexity, fractals are more complex than even physical life. As far as I can tell, today's image is not alive however. It is only a fractal. This is not as rational as it might seem, for who can say with absolute certainty that fractals, in all their mathematical complexity, cannot be alive? The quantum theory of the sub-atomic realm is basically composed of number gyrations, and living things are composed of that sub-atomic stuff. The name I gave today's image is "Iterative Zygote", which needs some explanation. Before a human is an adult, he is a child. Before that he is an infant, a fetus, an embryo, and first of all, a zygote, which is a fertilized egg. Today's image reminds me of a fertilized egg just starting the countless divisions that will culminate (hopefully) in a mature adult human being. The image is located in the Seahorse Valley area of the large minibrot on the main negative spike of the parent fractal, which is a grossly enlarged Mandelbrot set. The tiny blips on the hairline arms and major arms surrounding and extending from the 16-lobed minibrot in the image are actually small Z^2+C Seahorse Valley Julia sets filled with similar 16-lobed minibrots. Some of the arms terminate in very curious fragments of Julia sets, while other arms simply die out into infinity. I was so impressed when I found such a picturesque minibrot of order-17 that I rated the image at an 8. The fireball calcula- tion time of a mere 19 seconds is also quite impressive. And as always, the already-calculated image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal cats soundly disapproved of the clouds and freezing temperature of 32F 0C that prevailed here at Fractal Central on Tuesday. The occasional heavy showers of snow, which left a 1cm coating on the grass, did nothing to help things. My day was about average. Tomorrow will likely be the same. The next FOTD will be posted in 24 hours. Until then, take care, and when Sister Mary Thomas told me my questions about God were childish, and told me to sit down and shut up, I reminded her that the bible says we must become like children before we can get into heaven. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iterative_Zygote { ; time=0:00:19.39-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 center-mag=-176.8801503226196/+0.238662432514931/\ 45067.88/1/-15/0 params=17/100 float=y maxiter=400 inside=0 logmap=138 periodicity=10 colors=000KFlKImKLnKOoMQpQSqTVrXYs``tdcuhhummvtttw\ wwzzzsgvscvt`utYutUutRtuNtuKtuHsuDsvAsv6rv3rv0rt2s\ s3sq5sp6sn8sm9skBtjCthEtgFteHtdItcJt`HqZGoXFmUEkSD\ iQBfNAdL9bJ8`G7ZE5WC4U93S72Q51O63R75T86V88X9AZABaB\ DcBFeCGgDIiDJk9Me6P`3SW0VRBZaUakcdumblv`dzZXzXPzVH\ zU9zTAzSAzRAzRAzQAzPAzPAzOAzNAzNAzMAzLAzLAzKAzJAzJ\ AzM7zP5zS3zU1zW6zYBz_Gz`KzbPzdUzeYzdVzdTzdRzcPzcNz\ cLzcJzbHzbFzbDzbBzcAzcAzdAzdAzcHzbNzaUz`_OzzIzzCzz\ `zz2zzAzzIzzPzzXzzczzkzzrzzozzmzzkzzizzgzzdzzbzz`z\ zZzzXzzEzzJzzNzzSzzWzz`zzdzzizzmzzqzznzXkzWhzVezUb\ zT_zSXzRUzQRzPOzOLzNJzMQzRWzVazZhzcnzgtzkrziqzgpze\ ozdnzbmz`lz_ez__z_Uz_Oz_Iz_Cz_EzWGzSIzOJzKLzGNzCPz\ 8Qz4Jz7Dz97zBAzBCzBEzBGzBIzBGzIEzPDzWBzb9zi8zp9zbA\ zPAzCAzDAzEAzFAzGAzGEzIIzJLzKPzLSzMWzN_zObzPfzQizR\ mzSpzT7zFAzGDzHGzIIzJLzKOzLQzMTzNWzOYzP`zQczRezShz\ TkzUmzVkzUizTgzTezSczSWza } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 18-11-08 (A Higher Viewpoint [8])
by Jim Muth 17 Nov '08

17 Nov '08

FOTD -- November 18, 2008 (Rating 8) Fractal visionaries and enthusiasts: Today's image shows a downright attractive minibrot of order 17, which means it has 16 interior lobes with 17-part symmetry surrounding it. It might not be fully worth the rating of an 8, but I gave this rating because it's a surprise to see something this interesting and attractive in the range of Z^17 fractals. I was tempted to add an extra half-point for my coloring skill, but my humility made me decide against it. The name "A Higher Viewpoint" refers to the high-order circular minibrot that fills the center of the image. The mathtolerance entry in the parameter file is necessary because of the extreme magnitude of the image, which is already causing a breakdown of resolution. The scene is simply a blow-up of a minibrot in the center of the kind of fractal objects that have appeared in the FOTD's of the past two days. But this will be the last of the series. I must be moving on. An infinity of fractals lies out there, waiting to be discovered. The calculation time of 31 seconds is lightning fast, though the result may not be quite as shocking. As always, the calculating may be avoided by surfing to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoying the finished image there. *****Philosophy alert!***** With extra spare time on Monday, my philosophical energies came to life. I thought of how unlikely it is that I should be here at this particular time and place, or how unlikely that I should ever have existed at all. I'll not go through the mathematical calculation, but as I figure it, the chance of myself, (and of everyone else as well), ever coming into existence is exactly zero. It's impossible for any one of us to be here, yet here we all are. It's a miracle that reason cannot explain, a miracle so subtle and omnipresent that even its existence is difficult to recognize. The high priests of science are helpless to explain it. They brush aside talk of the miracle by claiming it is a childish way of thinking. The high priests of philosophy are also helpless. They claim that, however unlikely it may be, we are here now, and this makes the probability of our existence 100 percent. The high priests of religion are a bit more able to offer an explanation. They claim that each of us is here because God had each of us in mind for all eternity before He manifested us as individuals. However, this is only a different way of stating the miracle. But religion at least goes one step beyond science when it claims that God will never forget us. The problem with the religious explanation is that God has concealed Himself so deeply that many of us doubt He is there at all. At this point it is best that, as Sister Mary Thomas told me in the seventh grade, I should sit down and shut up. *****Weather and Cat report***** Clouds and sun alternated here at Fractal central on Monday, while the temperature reached only 41F 5C. The fractal cats complained when the clouds predominated during their afternoon nap in the southwest window. A little tuna and coffee cream ended their complaints. My day was unexpectedly slow. And tomorrow has a very good chance of being exactly the same. The next FOTD fractal will be posted for all the world to admire in 24 hours. Until then, take care, and every one of us is a necessary part of the complete universe. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Higher_Viewpoint { ; time=0:00:31.26-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 center-mag=-17.65025751604\ 944/+0.1182307735644347/1.952449e+012/1/-95.5/0 params=17/10 float=y maxiter=305 inside=0 logmap=54 periodicity=10 mathtolerance=0.05/1 colors=0000EU2HW4JX6MZ8O_ARaCTbEWdGYezzztzzmzzcxzB\ szAmwAhsCbmEYhGUeERbGOaHMZJOaMRbPUgSZlVcqYiuzzzwoo\ wemzWlzQjuNht0ZzzizzLzvTzsazrizrqztbzuOzvAzdRWNgTP\ dRQbOS`MTZJVXHWVbaGwf2te4qd6nc7lb9iaAf`Cd`DbcH`eK_\ gNYjRWlUVzXQz0zz4zzAzzGWzMYhS_hYahcbhh_haYhWWhQXcU\ YcYZca_ce`ciacmaepbdnbdmbdlbdjcdicdhcdfcde5mu7lz9l\ zAkzCkzDjzFjzHjzIizKizLhzNhzPhzQgzSgzTfzVfzXfzYez_\ ez`dzbdzIezKgzMizOjzQgzRdzSazTZzUWzVTzQdzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzDzzGzzIzzKz\ zMzzPzzRzzTzzVzzYzz_zzazzNzzOzzPzzQzzRzzSzzTzzUzzV\ zzWzzXzzYzzZzz_zz`zzazzbzzczzXzz_zzazU6z68z8AzABzB\ DzDEzEGzGHzIJzJKzLMzMNzOPzQRzRSzTUzUVzWXzYYzZ_z``z\ abzcXz7Yz9YzBZzDZzEZzG_zI_zJ_zL`zN`zO`zQazSazUazVb\ zXbzZDziDzkFzjGzjIziJziKziMzhNzhOzhQzgRzgczjSzgUzf\ VzfWzfYzeZze_zeazdbzdCztEzsGzrIzqJzpLzoNznPzmQzlSz\ kUzjWziXzhZzg`zfRzmOzuCzg } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 17-11-08 (Ring Around a Fractal [7])
by Jim Muth 16 Nov '08

16 Nov '08

FOTD -- November 17, 2008 (Rating 7) Fractal visionaries and enthusiasts: In yesterday's discussion I said that the image is located in the interior of the main bay of its parent fractal. But I made a mistake. Yesterday's image is actually located in an island near the distorted northwest shore line of a small minibrot on the main spike of its parent fractal. I'll try not to make such a non-apocalyptic error again. Today's image, with its overlapping and squashed minibrots of order 17, is much the same as yesterday's, but with more vibrant colors. It is located in a similar location in its parent fractal. After a modicum of thought, I named today's image "Ring Around a Fractal". Then, because I felt like it, I rated the image at a reasonably glorious 7. The calculation time of 6-1/3 minutes will vary according to the speed of the individual machine. The time required to hop out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will be shorter in almost all cases. Heavy clouds and blustery winds made the temperature of 43F 6C feel colder than it actually was here at Fractal Central on Sunday. The fractal cats, who have been getting very little sun lately, continued to complain. A saucer of half-and-half and a teaspoon of tuna eased their disappointment. My day was good enough, and if all goes well, tomorrow will be even better. The next FOTD will be posted in 24 hours. Until then, take care, and if the current economic 'crisis' was caused by having too much cheap credit available, how can it be cured by getting even more credit flowing? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= RingAroundAFractal { ; time=0:06:19.67-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=1 center-mag=-162.7372066644226/+0.2393249187302109/\ 2304584/1/-55/0 params=17/100 float=y maxiter=5000 inside=0 logmap=209 periodicity=10 colors=000Kc8Hb6Ea5M_LTZ__Yn`Xi`WeaVaaUYbTUbSQbRMc\ QIcPEdOAdN6dN2bO7aOB`OF_OJYPOXPSWPWVP_UPcSQhRQlQQp\ PQtOQxLpRIjYGddE_kCUrAPy9Tx8Xw8_v7cu6ft6js5mr4qq4t\ p8qqCorGmsIloKklMjiNifPhcRg`TfYUeVWdSYcP_bM`aJb`Gd\ _DeZAiT9lN9pH8sB8w57z07y36y66y96yC5yF5yI5yL5yO4yR4\ yU4yX4y_3yb3ye3yh3vf4td4qc4oa5m_5jZ5hX5eV6cU6aS6ZQ\ 6XP7UN7SL7QK7NN7zUzwPwrNnrLonJokGogEodDoaFoYIoVKoS\ NoOQoLSoHVoEXoB_o7ao4do1fo3eg5e`7eU9eNBeGDe9Fe2Lh4\ Qk5Wn7`q8ftAkwBpyCrrBtkAeWFRGJC1NK9QSHSZPUfXWndYzw\ _zwYzwXzwWzwVzwUzwTznSznQdnPcoOaoN_oMYoLXoKVmPTlUR\ kZPjcOhgMglKfqIevHdzIawJ_uJXsKVqKSoLmmLmkMmiMmgNme\ NmcOmaOm_QmZRmYSmXTmWUmVVmUXmTYmSZmR_mQ`mPamObmOZm\ QWmSTmTQmVNmWKtYHyZGuaFrcEoeDlgChiBekAbm9_o9XqQ`Xe\ dCd_HdzLdzPdzTdzXczaczecziczmczqezogzmhzljzjlzhmzg\ ozeqUcrYbta`veZwhYqjVkkSfmP`zMWzKYzN_zPazRczTdzVfz\ XhzZjz`kzbfzZbzVYzRUzNPzJ } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 14-11-08 (Webs of Intrigue [7])
by Jim Muth 16 Nov '08

16 Nov '08

FOTD -- November 14, 2008 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a scene just east of East Valley of the large minibrot on the infinitely-divided negative spike of the Z^(2.000001)+C Mandeloid. As the 'Y' parameter of 0.000005... shows, the scene is actually located at the edge of the spike. The mathtolerance entry is necessary to assure that the para- meter file runs at the correct magnitude. I named the image "Webs of Intrigue" because of the cobweb-like features surrounding the central minibrot. I was going to name it "Web of Desire" but decided that this sounds too much like the title of one of those latin tele-novellas (limited soap operas) FL, who speaks Spanish, watches so many of. The rating of a 7 pleases me and does not exaggerate the worth of the image. After all, this is not the first time we have seen such fractal cobwebs. The calculation time of just under 1-1/2 minutes is easy to digest. And just to make sure there is no indigestion, the completed image is posted for immediate viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and occasional rain kept the umbrellas busy here at Fractal Central on Thursday, while the temperature of 48F 9C kept the overcoats in action. Early in the day the fractal cats gave up hope for sun, and spent the afternoon sleeping near the radiator. My day was busy enough for me to forget the rain. The next FOTD will be posted in 24 hours. Until then, take care, and the over hyped theory of everything could actually be a theory of nothing. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Webs_of_Intrigue { ; time=0:01:26.11-SF5 on P4-2000 reset=2004 type=manzpower passes=1 center-mag=-1.741009418786829/+0.0000054663417767/\ 1.41155e+012/1/87.5/0 params=0/0/2.000001/0 float=y maxiter=1900 bailout=16 inside=0 logmap=150 periodicity=10 mathtolerance=0.05/1 colors=0000FW0F_0Fc0Fg0Fk0Jo0Ns0Sw0Xz0az0fz0jz3mxA\ opKnhUl`UiSUfLUaDUXAUS8PN8KJLA0030A69V3Db1Ih0Mq0Oz\ 0Rz0Tz5Sz9QxCPoIOjPMbWL_bJYiIWpJUvPQzdPzrOxvCpz2me\ QiMph5zmJnuYPuk1zb0zu0pz2gz5_z6Sz8Lz9DzA2hD0PGF_ib\ izYbzUWzQOuMGpI9iF2dA0Y80UA0`D9hFJnIUvJdzM_sPWiSQ`\ UMS_IJeDAmA2uF2zI2zL2zO2zQ2zU2z_3ze5zk6zi2zi0xi0sh\ 0nh0kh0Gz00z00z00n03e08X0DO0IF0M60L80L80J80I90I90G\ A0FA0DC0DC0CD0AD0AD09G09I08J08M18O26P36S56U60xX5W9\ 5XA3_C3`D3bF2eG2gI2hJ1iM1mO0nP0pQ0sS0uU0vWp02m13k2\ 5i35h56g88e98dA9bC9`FA_GCYICWJDUMFSOFQPGPQGOSIMWJL\ XJJYLI_LGbMDdOCeOAgP9iQ8kQ6mS5nS3rU2sW1uW0vX5A03C0\ 3D03F03G03I03J03L03M03O03P03Q03S03U03W03X02Y02_02b\ 02e0zh0zk1zn1zr2zu2zxzzzzzzzzzzzz5zz5zz6zz6zz6zz8z\ z8zz9zz9zz9zzAzzAzzCzzCzzCzzD1zz1zz1zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0zz0zM0zO0zO0zP0zP0zP0zQ0z\ Q0zS0zS0zSzz1uzDdzPMzb6zn } END PARAMETER FILE=========================================

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FOTD 16-11-08 (Fractal Convention [6])
by Jim Muth 15 Nov '08

15 Nov '08

FOTD -- November 16, 2008 (Rating 6) Fractal visionaries and enthusiasts: Today's image shows a Julia set of the main bay of the Mandelbrot set stuffed to overflowing with the circles of Z^(33)+C minibrots. If fact, it is so overstuffed with minibrots that they actually overlap. The scene is located in the interior of the main bay of its parent fractal, which on the surface resembles a huge Mandelbrot set. It is only in the depths of the parent fractal that the strange things seen in today's image start happening. I rated the image at a 6, which is at least a bit above average. Then, when I saw the minibrots packed like sardines, I named it "Fractal Convention". The calculation time of under 1-1/2 minutes will keep impatience at bay. But if impatience breaks loose, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and occasional downpours of rain spoiled the unusually warm temperature of 68F 20C here at Fractal Central on Saturday. The fractal cats somehow managed to get through yet another day without sunshine. My day was good enough. But due to the rain, FL and I had to cancel the antiquing expedition we had planned. The next FOTD will be posted in 24 hours. Until then, take care, and look on the bright side. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Convention { ; time=0:01:26.55-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=1 center-mag=-157.5333645695505/+0.02931181123341/\ 1807947 params=33/100 float=y maxiter=1000 inside=0 logmap=86 periodicity=10 colors=000E03F04G05H16I27J38K49K5AJ6BI7CH8DG9EFAFB\ BGECHGDIIEKKFMMGOOHQQISUJUXKWZLYaM_cNafOYhPWiQTkRO\ lSFmTGoUFqVFsWEuXEwXEvXGvXHuXJuXKtXMtXNuWNtXOpXPlX\ PgXQcXR_YRVZSR_TN`TIaUEfVzdTzzVzzWzwXzsYzoZXf_ag`f\ cajdboecsfdk__cTVWNQOGzG9z93zC4FF5HH6KK6MM7PP8RR8U\ U9WXAYZA`aBbcCefCghDjkElmEnkFmjGliHkhIjfJjeKidLhcM\ gaMg`Nf_OeZPdXQdWRcVSbUTa`TVTTaMThETo1Ux7TvDStISsO\ RqTRoZQncQliPjnPijQjgQjdQjaQkZQkWRkTRlQRlNRlKRmHSm\ ESmBSn8Sn5Sn2Sn9UkGWiNYgU_d`abgc`qfWmdZibae`daZgYX\ jUVmQTpMRsIQuLbbKdaJe`If_Ig_HhZGiYGjYFkXElWEmWDnVC\ oUBpTBqTArS9sR9tRzUKzTJzTIzSIzSHzUBzSHzQNzPTzNZzMd\ zKjzJpeSk`_gWhcRp_Yladhcpekjdedc_ZzUTzPNzJHzDBz8Hz\ 9Mz9Rz9Wz9azAfzAkzApzAxz8uzAszCqzEnzGlzIjzKhzMezOc\ zQazSZzUXzWVzYTz_QzaOzcMzeLzhKzgJzgJzgIzgIzgHzgGzg\ GzgFzgFzgEzgEzgDzgCzgCzgBzgBzgAzgAzgFzfJzfNzfRzfWz\ kVzfKz0Kz0Kz0Kz0Kz0Kz0Kz0 } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 15-11-08 (Broken Branches [6])
by Jim Muth 14 Nov '08

14 Nov '08

FOTD -- November 15, 2008 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal is definitely neither real nor unreal. It is something halfway in between -- an image of a minibrot in the Z^(2.1)+C Mandeloid. I named it "Broken Branches" when I noticed the breaks in the streams of chaos extending out from the central midget. The rating of a 6 indicates a repetition. I have posted some very similar images in the past. The calculation time of 20 seconds could exceed the speed of light. This would mean that the finished image would appear on the screen several seconds before the <enter> key is struck. I'll not speculate on what would happen if, after the finished image had appeared, the fractalist would decide not to strike the <enter> key that caused the image to appear several seconds before. All this confusion may be avoided by surfing over to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Philosophy alert! On Friday I received an envelope in the mail from a scientific book club, offering a selection of three books, this month about the nature of physical reality. As is obvious, the offering gave my philosophical side a shot of energy. One of the books presents a modified theory of gravity (MOG), which, if true, might explain the mystery of the missing dark mass and energy. If this latest new theory is right, then Einstein's general theory of relativity is lacking, and maybe his status as the premier brain of the 20th century needs to be re-evaluated. As for me, I feel we're getting all of nowhere in explaining things, in fact we're digging an ever-deeper scientific hole. Before we try to explain 'physical reality' we should step back, take a break, and try to find a way to prove that physical reality is actually as objectively real as is conventionally assumed. We can't explain it if we don't know what it is. I, and everyone else as well, have never observed a 'real' world that exists out there independently of the observation. All I have ever observed is an ever-changing series of images formed in my mind by stimulation of my sense organs. To be considered a rational thinker, I know I should believe that these images faithfully reflect a universe that actually exists apart from myself exactly as I experience it through the images. But for some reason, I cannot shake the feeling that this belief is an unproved and perhaps unfounded article of faith. True, if we assume the mental images accurately mirror an outer world, then the scientific method works quite well. But we are still left with all the unexplained things called paranormal or supernatural. These reports keep coming despite the skeptics' denial of the paranormal and their attempts to give the reports a natural explanation. Does this mean I am a believer? Well, I certainly know that there are many reports of strange things, and I doubt that all of them can be fully explained by the gullibility, credulity ignorance or wishful thinking of those who do the reporting. Finally, I am once again left to wonder why the proposed 'theory of everything' totally ignores the conscious intelligences, whatever they are, that are searching for a theory of everything. Low heavy clouds obscured the surrounding hilltops here at Fractal Central on Friday. And the humdrum temperature of 54F 13C did nothing to improve things. The fractal cats don't care about hilltops. Their problem was the lack of afternoon sun in their southwest window. Like the day's fractal, my day was . . . average. The next attempt at greatness will be posted in 24 hours. Until then, take care, and how will we know what's real if our scientific ideas about reality keep changing? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Broken_Branches { ; time=0:00:20.09-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.275442910495\ 823/+0.013776353035086/1.01901e+010/1/-105/0 params=2.1/0/0/0/0/0 float=y maxiter=750 inside=0 logmap=55 periodicity=10 mathtolerance=0.05/1 colors=000YGkXEqUJqRMrNRmJVhE`dRf_VkVcoRltWwx_zzWc\ STRKQQHMINJASGEWII_KJbFJfAJi6ClK6qY0xkOToj4rjJtjYv\ jlxjzzizzixzhuzhrzkpzmmzplzrizuhzwfzyezw_ouVesPWqK\ MpFChKNaOYVShOWsQXrRXrVVmZTibReePaiNYmLUpKQiLMbLJW\ MGPMCIN9BN65N3CL6JK8PJBWIDbGGhFIoELuDNnJKgPH`VEU`B\ Nf8Gk5FcAEXEEPIDINCARC3VATc9rlHZhDTbLXXHTXDQXKXV8f\ g9Xaf1Za4YY7YUAYQCYLFXHIXDLXpGHjHJeIL_JNVKPzLRzMTz\ NVgicWa`KUZzCgzGczK_fwGVjMzZSz_TzYUzWUOVVzTVzRWzQW\ zOXz7CzDJzIQtkwjfq`alSXfISaakdNZ`z59LxlzFGzQSh_cad\ aWh_QmYKqWEvU8zT9pUzL`9fVzXWz4Cz9IzENzJSza3zZ9zWFz\ TLzQRzMCzNHzNLzNPzNTzkCz2wz9nzGez1gz7dzCazIZzHqzIm\ zJjzKfzLczM_zv3zp8zjDzdIzZNzTSzm8z_Lzvgzdbz_`zW_zR\ YzrRzzTzzVzzm7zjzzhzzf8zdzzbzz`9zZEzzDztCznBzhAzbp\ zqVzf7zf8zd8zb8za9z_9zYDzxBznAzewzClzHbzLTzPJzTizc\ bzaXz`Rz_LzZFzYbzVYzWUzWQzWLzXHzXDzX8z89zC9zF9zI9z\ L9zO9zR9zUwztnzpfzlYzhZze } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 13-11-08 (The Eyes Have It [7])
by Jim Muth 13 Nov '08

13 Nov '08

FOTD -- November 13, 2008 (Rating 7) Fractal visionaries and enthusiasts: An unusually busy day on Wednesday left little time for a discussion. Today's image lies in the interior of the parent fractal that results when 0.25 part of 1/Z is combined with 0.5 part of Z^2. The stairstep effect was created by rendering the scene with the outside set to 'tdis'. The rating of a 7 is pretty close to what I think of the image. The name "The Eyes Have It" came to me when I thought I saw eyes staring out of the image at me. The calculation time of 1-1/3 minutes is quite reasonable, as also is the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the already-calculated image there. Mostly gray skies and a temperature of 52F 11C made Wednesday passable here at Fractal Central, while two hours of hazy sun in the afternoon kept the fractal cats satisfied. My day was busy but adequate. The next FOTD will be posted in 24 hours. Until then, take care, and where will we find the last fractal? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Eyes_Have_It { ; time=0:01:22.80-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.6024187609298886/-0.166206626874756/\ 3241287/1/90/0 params=0.25/-1/0.5/2/0/0/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000HU2OWAVXHdl3ck4cj5cj6ci7ci8ch9cg9cgAbfBb\ fCbeDbdEbdEbcFbcGbbHaaIaaJa`Ja`Ka_LaZMaZNaYOc0Ob7O\ bEOaLOaSORoMSnNSmNTmNTlNUkNUkNUjNViNViNWhNWgNWgNXf\ NXeOYeOYdOYcOZcOZbO_aO_aO_`O`_O`_OaZOaYOiOlhPjgQhg\ RffSdeSbeT`MSRGIWA8`JDXSIU_NQhSNqXJyaGpWMhQS_LXSFb\ J9hB4mJAoRFqZLsfQumVvlXtkYrjZqi_oh`mgalfbjfcia`dXZ\ _TWVOURJSMFPHANC6L8BUKFbVJkeQjgXihcijjhkqgmxgnoheg\ hY_hQRhIJhABh2jtode_ZRKTD4OC8KCBFBEBBI6AL2AOLRfbfx\ adracmaaha`caZZaYUaXPYOUZRS_TR`WPgvsfqmemhdicceYba\ TdLhcMgcMfcNecNdcOccOccPbcPabQ`bQ_bR_bRZbSYbSXbTWb\ TWbUVaUUaVTaVSaWSaWRaXQaXPaYOKXMNYNQYNSYNVYOXYO_YO\ 4EuAIoGLiLOdRSZXVT4Xw9YrDYnHYiLYeQY`UYXYYSGtXOlUVd\ RVbWWaVXaUY`TmOTlPSlPSkQSjRRiRRiSRhSRgTQfUQfUQeVPZ\ _SdVPcWPcXObXOaYOk7hiDcgI_eOWcTSd3Sc4Rc5Rc6Rc7Rc8R\ c9RcARcBQcCQcDQbEQbFQbGQbHQbIQbJPbKPbLPbMPbNPaOPaP\ PaQPaROaSOaTOaUOaVOaWOaXO } 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 for Nov 12 test
by JimMuth＠aol.com 12 Nov '08

12 Nov '08

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