From: owner-fractint-digest@lists.xmission.com (fractint-digest) To: fractint-digest@lists.xmission.com Subject: fractint-digest V1 #581 Reply-To: fractint-digest Sender: owner-fractint-digest@lists.xmission.com Errors-To: owner-fractint-digest@lists.xmission.com Precedence: bulk fractint-digest Thursday, July 12 2001 Volume 01 : Number 581 ---------------------------------------------------------------------- Date: Fri, 6 Jul 2001 00:30:12 -0400 (EDT) From: Jim Muth Subject: (fractint) C-FOTD 06-07-01 (Monument to Nothing [7]) Classic FOTD -- July 06, 2001 (Rating 7) Fractal visionaries and enthusiasts: When I first saw today's fractal, it reminded me of a wooly mammoth, one of those hairy, elephant-like animals that roamed much of the earth until early man hunted them to extinction. But after further consideration, I decided I was looking at a roughly carved monument, perhaps a religious idol created and worshipped by some forgotten tribe of hominids. When I was unable to decide what the monument commemorated, I named the image "Monument to Nothing". The picture rates an above average 7. I especially like the way the foreground features stand out in contrast to the vaguely patterned purplish background. Actually, the foreground objects are on the highest iteration. Fractals are not always what they seem. The expression Z^1.009+C was iterated to produce the image. The MandelbrotBC1 formula, which displays remote parts of the infinite complex-log spiral, assured that this near-linear expression produced at least a little chaos. Actually, it produces quite a bit of chaos. The entire surrounding area, which lies near the shore of the parent fractal's lake, resembles nothing as much as a crazy quilt, with apparently random patterns and textures everywhere. The image renders in considerably less time than yesterday's 2-hour dawdler, but at almost 27 minutes on a Pentium 200mhz, it is certainly no quickie. My advice is to give Paul and Scott a chance to render and post the image to their Web sites at: and at: and download the GIF image from there. The fractal weather today featured a temperature of 85F (29.5C) followed by a tornado scare. Luckily, the twister fizzled into just another heavy thunder-storm by the time it arrived at Fractal Central. But the crackling lightning and roaring winds sent the fractal cats scurrying for safety under the bed. They are just now getting over their scare. That's it for today, fractal fans. The cats have recovered, and I'll return in 24 hours or so with another fractal with no quadratic midget. Until then, take care, and beware of fractals lurking in dark places. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ MonumentToNothing { ; time=0:26:47.66--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.6528807149373907/+1.259183430170431/\ 286.6663/1/-49.999 params=1.009/0/120/2400 float=y maxiter=1800 inside=255 logmap=645 periodicity=10 colors=000WUzWUzXUzYUz_Uz`UzaUzcUzbUzbUzaUzaUz`Uz`\ Uz`Uz_Uz_UzZUzZUzYUzYUzYUzaUzdUzgUzjUzmUzpUzsUzxUz\ vUztUzsUzqUzoUznUzlUzkUziUzgUzfUzdUzcUzaUz_UzZUzXU\ zWUzUUzSUzRUzPUzFUzKUzOUzSUzWUz_UzcUzgUzkUzqUzpUzo\ UznUznUzmUzlUzkUzkUzjUziUziUzhUzgUzfUzfUzeUzdUzfUz\ eUzdUzcUzbUzaUzaUz`Uz_UzZUzYUzYUzXUzWUzVUzUUzUUzTU\ zSUzRUzQUzQUzPUzOUzNUzMUzMUzNUzOUzPUzPUzQUzRUzSUzS\ UzTUzUUzUUzVUzWUzXUzXUzYUzZUz_Uz_Uz`UzaUzaUzbUzcUz\ dUzdUzeUzfUziUzfUzcUz`UzZUzWUzTUzQUzOUzLUzIUzFUz8U\ zDUzIUzNUzRUzWUz`UzeUziUznUzsUzWUziUzwUzvUzuUztUzt\ UzsUzrUzqUzqUzpUzoUzoUznUzmUzlUzlUzkUzjUziUziUzhUz\ gUztUymUxgUwaUvVUuPZtKcsKhrUmqcmpmrompohnnclmZklUi\ lPgkJejJdiJbhJ`hJZgIYfIWeIUeISdIRcIPbINaILaIK`II_I\ GZIEZIDYIBXI9WI7WI5WI2VI0VI0VI0UI0UI0TI0TI0SI0SI0R\ I0RI0QI0QI0PI0PI0OI0OI0NI0NI0MI0MI0LI0LI0KG0KH0KI0\ KI0KJ0KJ0KK0KK0KL0KM0KL0K } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-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| Subject: (fractint) new web site Due to the termination of NBCi's web space hosting, I closed my extensive web site at that location. My new site is much smaller, for the time being only a single page, containing both old and new images. The gfp.ufm formula file is available for download at the site, but, of course, it is also available at the Ultrafractal Formula database. I regret, however, that due to space limitations Morgan Owens' chebyshev formula file will no longer be available at my site. Janet Preslar generously consented to hosting it at her Ultrafractal Resources page. I invite you to visit my new site at the address below, and your comments are welcome. Best regards, Gedeon - ---------------------------------------------------------------------------- - ------ FRACTALS: http://www.geocities.com/gedeonp/fractals/frindex.html Established: July 5, 2001 Member Infinite Fractal Loop PHOTOGRAPHY: http://www.geocities.com/gedeonp/photos/phindex.html Established: July 5, 2001 - ---------------------------------------------------------------------------- - ------ - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 6 Jul 2001 21:35:08 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 07-07-01 (Mysterious Darkness [6]) Classic FOTD -- July 07, 2001 (Rating 6) Fractal visionaries and enthusiasts: With today's image, the string of FOTD's without benefit of a quadratic midget, continues unabated. Today's image was created by number 14 in my series of 14 formulae based on distortions of the Ikenaga function, a function that must do little other than make fractals, since its creator has apparently disowned it. I had a bit of a problem finding a name for today's fractal. Some of the names that came to mind as I studied the image are unmentionable. But after making my mind a blank, (no problem for me), I finally centered my attention on the fractal elements converging on the mysterious dark area at top center. The darkness appeared most mysterious, inspiring the name "Mysterious Darkness". Actually, most of the image consists of 'inside' area, which has been colored with an inside fill of bof60. The few outside areas are colored with the 'real' option, though this makes little difference in the overall appearance. I rated the image at only a 6. The green and purple color palette is not really very harmonious, though it is rather attention-getting. With a better color scheme, the image might have rated a 7 or 8. The image renders from the attached parameter file in a little under 9 minutes on a rusty old Pentium 200mhz machine optimized for Fractint fractals. For those who would rather not fuss with parameter files, the ready-to-view GIF image will soon be available on the internet at Paul's web site at the URL: and at Scott's site at: The fractal weather today was absolutely perfect, with crystal blue skies, refreshingly dry atmosphere, gentle winds, and a temperature of 79F (26C). The fractal cats relished the conditions in the shade of the fractal holly tree. As for me, I'd relish an evening watching a bit of junky TV. Maybe I'll put on one of my many 'Dark Shadows' tapes to keep with the dark mood of today's FOTD. They're always good for a hoot. Until next time, take care, and in time of need, a good fractal may be a life saver. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ MysteriousDarkness { ; time=0:08:43.44--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandNewt14 passes=1 center-mag=6.36546\ /-1.11022e-016/0.8933869/1.1682/-90 params=-1.5411/0.5839/4.434/0.6981/-1.545/-5.4089 float=y maxiter=180 inside=bof60 outside=real logmap=yes periodicity=0 colors=000FADDDFAFI8HKDKJHOIKSHOXFS_FXcEZgDbkBfoBj\ sAnw8rz7uz7szDrwIrsNqqSqmYoiboffnbknZqmXvmSzkOzkMz\ iRzfXzc_vber_jnYniVseUwaSwaRvaQvaOvaNuaKu_Js_0yz0w\ y0vy2uy3sy4rw6qw7ow8nwAmwBkvDjvEivFgvHfuIeuJcuKbuM\ asN_sOZsQYsRXsQUuOSuNQvMOvMMwKKwJJwIHyHFyi_0mb0qg0\ sk0vo0ys0zy0zz0zz0zz0zy0rm0ia0aQ0SE0K20M30N44O6AO7\ EQ8IRANSBRSBXUD_VEcXFiXHmYIrZJvZJzbRrfYkjccnjYrqQv\ wJzzBzz4zz3zy3ys3wm3vg3ub3uY3oX4kV4gV6bU6ZS7VS7QR8\ MQ8IQADOA8NB4NB0MD0KD0KD0ME3ME8MFEMFJNHfNHfNIfNIzz\ JzzJzzKzzKzzNzzQzzSzzVzyYzw_zvbzsczqeznezkfzigzggz\ eizbjz_jzYkzVmzUmzQnyNnvKnrHnoEnmBni7nf4nc2na0n_3j\ _6fZ8bZB_YFXYISXKOXNMjOJYVXKag7gsDZeHQSNYUScVZjXcq\ YarXZrVXsVUsURsSOuSMuRKuRIvQFvODwOAwN7wM4yM2yK0yK0\ rN0mO0gQ0bR0YS0SV0NX0IY0DZ07_0BY0EX0IU0KS0OQ0RO0VM\ 0YK0aI0cH0gE0jD0nA0q8Uc2uR0nO0gN0aM0XK2QI3JH4DF67E\ 7K20X00U00R00O00M23K46I7A } frm:MandNewt14 {; Jim Muth z=g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), e=real(p3), f=imag(p3): h=z^a+(g-1)*(z-b) j=c*z^d+g z=z-e*h/(f*j), 0.000000000000000000000000000001 <= |h| } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sun, 8 Jul 2001 10:21:20 -0400 (EDT) From: Jim Muth Subject: (fractint) C-FOTD 08-07-01 (N-D-E [6]) Classic FOTD -- July 08, 2001 (Rating 6) Fractal visionaries and enthusiasts: Having posted my FOTD's on the web for several years, my e-mail addresses are on many mailing lists, and as a result I receive a lot of unwanted e-mail. This morning was no exception. On opening my e-mail box, I found the expected large number of 'spam' letters. I usually delete these messages after reading the first line. But I was amused this morning by the way every letter began with an excuse -- a reason why it was not spam. One letter told me that I had received it because I had 'opted in', whatever that means. Two others claimed to be replying to my previous 'inquiry'. Another claimed to be from a long-lost relative. (Funny that the relative's letter ended with a form, complete with a space for credit-card number, to fill in if I wanted to receive the product, which curiously enough was a program that would let me find long-lost relatives.) Another letter, of the highest priority, claimed to contain an urgent message. Unfortunately for the seller, I am not desperate to lose weight just in time for the summer season. Next, there was the letter telling me how to get rich quick by telling others how to get rich quick. I have never figured out where the extra money is supposed to come from in these schemes where everyone gets rich. Finally, I opened a letter informing me that I was in imminent danger of losing my soul unless I did as the well-meaning sender described. The final letter, about the fate of my soul, inspired the name for today's FOTD image. I had been thinking about what to name the image for almost 1/2 hour when I read the soul-saving letter. Since the letter reminded me of an after-death journey to somewhere, I named the image "N-D-E", which is short for "Near-Death Experience", an experience that those who have come close to death sometimes have. The experience takes many forms. In one of the most common, the person seems to leave their body and travel through a tunnel toward a light, frequently meeting lost loved ones and religious figures at the far end. Believers feel that the experience is real, that the soul actually reaches a heaven in these experiences, but is sent back to earth because the time is not yet right. Skeptics feel that the experience is imaginary, a kind of dream produced by the oxygen-deprived brain. But both of these views go beyond what is known for certain, and demand a degree of belief. Still searching for the exact meaning of the concepts 'real' and 'imaginary', I am undecided as to the nature of the NDE, and any connection it might have to a possible 'after'-life. Well, I see myself wandering from the fractal topic. Today's image is one of a midget. No, it is not a quadratic midget, but one of the order 1.066. I found it by breaking out the JimsCompMand formula, one I have not used in several years. It may seem hard to believe, but today's midget is what is left of the midget located at -1.75 on the negative tail of the classic M-set. Using the present formula, I kept track of the midget as I lowered the exponent of Z. The midget actually continues below the Z^1.066 of today's image, but the render time becomes grossly exaggerated as the midget blends into the very high iteration chaos surrounding the main bay of the parent fractal. In a few days, I may present an image of this midget as it merges into the main bay, but if so, it will be a very slow image, taking over 12 hours to render. Even after so much discussion, today's image rates only a 6. But it's relatively fast and rather pleasant to behold. And if running a parameter file is not to your liking, the GIF image may be found posted to the following two web sites: and But before visiting, give the owners time to render and post the image. The fractal weather today (Saturday, July 7) was once again perfect, with deep blue skies, puffy white clouds, gentle breezes, dry atmosphere, and a temperature of 84F (29C), which pleased the fractal cats. It's now time to have a peaceful Sunday, if possible. Until next time, take care, and there's always light at the end of the tunnel. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ N-D-E { ; time=0:06:39.36--SF5 on a P200 reset=2001 type=formula formulafile=jim.frm formulaname=JimsCompMand passes=1 center-mag=-1.123943163353295/+0.1801440422711643/\ 614.4685/1/67.5 params=1.066/0/0.688/0/0/0 float=y maxiter=50000 inside=255 logmap=68 periodicity=10 colors=000DAB4AE5BG6CI6DJ7EL7FM8GO8HQ9IR9JTAKUALWB\ MYCNZCO`DPaDQcEReHSfKThNUiQVkTWlWXgZYcaZad__g`YeaX\ cbV``TZZSXXQVVOTTMQRLOPJMNHKLGIJEFHCDFABD99B779558\ 48A8BBCEDGHEKKGONHSQJWTK_WMcZNgaPkdQofRrdTpcVnbXla\ Yj`_hZafYbdXdbWf`VgZTiXSkVRmTQnRPpPNrNMsLLuJKwHJxG\ IyIHyKGyMFyOEyQEySDyUCyWByYAy_9ya9ycAweBxfBygCzhDz\ iDzkEzlFzmFznGzoGzpIzoKzoMznOznQzmSzmUzlWzlYzk_zka\ zkczjezjgziizikzhmzhozgqzgszfuzfwzfyzdzzbzzazz_zzZ\ zzXzzWzzUzzSzzRzzPzzOzzMzzLzzJzzHzzGzzEzzDzzBzzAzz\ 9zz9zz9zz8zz8zz8zz8zz7zz7zz7zz7zz6zz6zz6zz5zz5zz5z\ z5zz4zz4zz4zz4zz6zz7zz8zz9zzBzzCzzDzzEzzGzzHzzIzzJ\ zzLzzMzzNzzOzzQzzRzzSzzTzzUzzYzz`zzdzzgzzjzzkzzkzz\ kzzlzzlzzlzzmzzmzzmzzmzznzznzznzzozzozzozzozzgzz`z\ zUzzMzzFzz8zz1zz3zz4zz5zz6zz7zz9zzAzzBzzCzzDzzFzzG\ zzHzzIzzJzzKzzLzzMzzNzzNzzOzzPzzPzzQzzRzzRzzRzzRzz\ RzzRzzRzzRzzSzzSzz1zz5zzz } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^p2)+c, |z| <= p3+100 } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 9 Jul 2001 08:21:02 -0400 (EDT) From: Jim Muth Subject: (fractint) C-FOTD 09-07-01 (The Grand Arch [6]) Classic FOTD -- July 09, 2001 (Rating 6) Fractal visionaries and enthusiasts: My only spam message this morning arrived with the subject "You've won!" The message informed me that I had won the first round of a contest and was now eligible to claim my entry. Nuts! What a let-down! I thought I would be eligible to claim my prize, but discovered that I am eligible only to enter some stupid contest, and that I must actually pay for the privilege of entering. I wonder how many 'contestants' fail to win the first round of this 'contest'. I eased my disappointment by turning to the world of fractals. Today's image features the work of another long-forgotten formula, Mystic2, a formula that I wrote a number of years ago. Because I rarely add comments to my formulae, the original purpose of the formula is now a mystery. Perhaps I wrote it totally at random, just to see what it would do, and then discarded it because with the inside set to the usual 0, it draws nothing but circles. If so, I acted in haste, for when a dynamic fill such as bof60 is applied, the formula comes to life. When the Mystic2 formula is used, all the action is on the inside. Today's image is a good example. Using the bubble- producing bof60 inside fill, the formula has produced what looks like a grand double-arch. The curved boundary at the bottom is part of the ever-present circle that always appears when this formula is used. Since the image resembles an elaborate double-arch, I named it "The Grand Arch". I rated the image at a 6. This is the third consecutive FOTD with a rating of 6. The attached parameter file runs in 4-1/2 minutes, leaving it to the viewer to decide whether to download the GIF file of the image from: or from: The fractal weather today began with a mild thunder-shower and ended with another mild thunder-shower. In between it was sultry, with lots of clouds and a temperature of 82F (28C). The fractal cats were too busy sleeping to give much notice to the weather. It's now time to attend to other things, but the next fractal is already cooking. Until the next one is finished, take care, and have a moderately good day. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ The_Grand_Arch { ; time=0:04:39.30--SF5 on a P200 reset=2001 type=formula formulafile=jim.frm formulaname=Mystic2 function=sin passes=1 center-mag=0.698216/6.66134e-016/2.801685/1/-90 params=-5.499/1.957/7.803/1.028/0.359/-1.367 float=y maxiter=120 inside=bof60 logmap=yes periodicity=0 colors=000Z`OWXLSTJPQHFFFFFFGGGHHHIIIJJJKKKe2Nc2Ma\ 2LV2WS3TQ3RO3PM4MJ4KH4IF5FD5DA5B868666464262276279\ 27D28G28K28N29R29U29X5ET7JP9OLCTHEYDGb9If6Kd7Mb7N`\ 8PZ8QX9SV9TTAVRAXPBYNB_LC`JCbHDcFDeDEfBE_GGTLIMQKF\ VMD_GCdBBi5An0Bm6CmBDmGEmMFmRFlWGl`HlfIkkJjpKisKis\ KgrKepKcoKamKZlKXjKViKTgKRf`Edp2bi7`cB_YFZSJYLOWFS\ V9WU3_T2YS2WS2VS2TR2RR2QR2OR2MQ2LQ2JQ2IQ4LO5OM6RK7\ UI8WGAZEBaCCdADg8Ei7Dj8Cj8Cj9Bj9BkAAkAAkA9kB8kB8lC\ 7lC7lD6lD6lDBhCFdBK`BOXATTAXQ9aM8eI8jE7nA7s66w36p7\ AjBEdEIZIMTMQNPUQRRSTOVVLXWJZYGa_DcaAeb8eb8ec9ecAe\ dBedBdeCdfDdfEdgFdgFdhGdhHdiIdiIdjJdjKdkLdkLcjKbiK\ ahJ`gJ_fIZeIZdIYcH000XbHWaGV`GU_FUZFTYFSXERWEQVDPU\ DPTCOSCNRCMQBLPBKOAKNAJM9IL9HK9GJ8FI8FH7EG7DF6CE6B\ D6AC5AB59A4894783673563552442331221110000jq3gn2ek2\ bh2`e2Yb2W_2TY1RV1OS1MP1JM1HJ1EH0CE09B0780450220en\ UXcOPUIGKC8A6moYikVegTbcQ } 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 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 10 Jul 2001 09:44:05 -0400 (EDT) From: Jim Muth Subject: (fractint) C-FOTD 10-07-01 (The End of a Midget [6]) Classic FOTD -- July 10, 2001 (Rating 6) Fractal visionaries and enthusiasts: Today's image is very slow. In fact it's the second slowest FOTD of all time. It's so slow because we've gone a long way -- we've followed the largest midget of the M-set until it is finally ready to be absorbed into the infinite ocean of trapped points of its parent, the god-like place where midgets go when they cease to exist. It's the same midget that appeared in the N-D-E image of July 8, but what a change lowering the exponent of Z from 1.066 to 1.05 has made. The N-D-E image renders in 6 minutes, while today's takes 11 hours. The big difference is that the midget, or what remains of it, has been absorbed into the high-iteration random chaos that stretches (invisibly at normal maxiters) along the shoreline of the parent fractal, the nearest part of which lies just beyond the upper right corner of the frame. Most of the elements in the N-D-E image had iterations in the hundreds; the blue elements in today's image have iterations in the hundreds of thousands. The original negative tail of the M-set is still vaguely visible as the broad, featureless area of blue stretching from the midget toward the left edge of the screen. The midget itself has degenerated until it is little more than a distorted circle. The only remaining recognizable feature is East Valley, the point on the midget's lower edge, where the features converge. No elephants are in the scene however. The elephants have long since vanished, to be replaced by scalloped features that seem to be shedding fractal debris. The reddish area at the lower left, which eventually leads into the midget's valley, seems almost not to belong there. It has an iteration in the 150 range compared to the 100,000 range of most of the scene, and is an actual part of the shoreline of the parent fractal, which is little more than a crooked circle. To see how today's midget lies in relation to its parent, lower the maxiter to 300, turn off the logmap, and back out a few zooms. It will be immediately apparent that, when viewing the parent, there is no evidence of the midget's existence. The only way to find today's midget is to follow it as the exponent of Z is reduced. And even this is difficult, for the exponent of C in the iterated formula must be adjusted by just the right amount to keep the midget from slipping out of sight beyond some branch-cut discontinuity. I could have taken the process even further, but at lower exponents of Z, the render time increases apparently without limit. Since as far as I can tell, the appearance of the midget does not change at lower exponents, I decided that Z^1.05 and a render time of almost 12 hours was a good place to stop. And that's the story of how a midget came to its end. I named the picture "The End of a Midget" and rated it a 6. For those wise fractalists who decide not to render, but to download the finished GIF image instead, that image will soon be available on paul's web site at: It will also be available on Scott's site at: But give them a chance to do the heavy work before visiting their sites. The fractal weather today (yesterday) was summer-like, with hot sun, a temperature of 90F (32C), and happy cats. The work today is piling up, so I'd better get busy. I'll return in the allotted time with a fractal that is guaranteed to be faster. And I might even have some philosophy to cause one to wonder about things they would rather forget. Until then, take care, and don't forget to wonder about those fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ TheEnd_of_a_Midget { ; time=11:01:10.44-SF5 on a P200 reset=2001 type=formula formulafile=jim.frm formulaname=JimsCompMand passes=t center-mag=-1.095780444268702/+0.155209794935997/3\ 213.186/1/52.5 params=1.05/0/0.688/0/0/0 float=y maxiter=300000 inside=0 logmap=112 periodicity=10 colors=000c5Kc5Jb5Ja4J`4J_4JZ4JY4JX3JW3JV3JU3JT3IS\ 2IR2IQ2IP2IO2IN1IM1IL1IK1IJ1IJ1IK2JK3KL3KL4LM4LM5M\ N5NN6NO6OO7OO7PP8PP8QQ9RQ9RRASRASSBTSBUSCUTCVTDVUD\ WUEWVEXVFYWFYWGZXGZXH_XH_YI`YIaZJaZJb_Kb_Kc`Ld`Ld`\ MeaMeaNfbNfbOgcOhcPhdPidQieQjeRjeRkfSlfSlgTmgTmhUn\ hUoiVoiVpiXpjXqjZqkZrk_sl`slatmbtmdumdulbtk`tjZtiX\ thVthVtgUtfTteSsdRscRscQsbPsaOs`Ns_NsZMrZMrYMrXMrW\ MrVMrUMrUMrTMrSMqRMqQMqPMqPMqOMqNMqMMqLMpKMpKMpJMp\ IMpHMpGMpFMpFMpDMqEMrEMsFMtFMuGMvGMwHMxHMzIMzIMzJM\ zJMzKMzKMzKMzLMzLMzMMzMMzNMzNMzOMzOMzPMzPMzQMzQMzR\ MzRMzRMzSMzSMzTMzTMzUMzUMzVMzVMzWMzWMzXMzXMzXMzYMz\ YMzZMzZMz_Mz_Mz`Mz`MzaMzaMzbMzbMzcMzcMzcMzbMzbMzbM\ zcMzbMzbMzbMzbMzbMzbMzbMzaMzaMzaMzaMzaMzaMzaMzaMz`\ Mz`Mz`Mz`Mz`Mz`Mz`Mz`Mz_Mz_Mz_Mz_Mz_Mz_Mz_MzZMzZMz\ ZMzZMzZMzZMzZMzZMzYMzYMzYMzYMzYMzYMzYMzYMzXMzXMzXM\ zXMzXMzXMzXMzXMzWMzWMzWMz } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^p2)+c, |z| <= p3+100 } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 11 Jul 2001 11:05:02 -0400 (EDT) From: Jim Muth Subject: (fractint) C-FOTD 11-07-01 (Sea-What [4]) Classic FOTD -- July 11, 2001 (Rating 4) Fractal visionaries and enthusiasts: July, 2001 has been declared midgetless month, quadratic- midgetless that is. So I need a way to follow the theme while still pampering my obsession with these tiny holes that fill the border of the Mandelbrot set as well as many other fractals. Today I have chosen to work around the no-midget theme by viewing the hole from a different direction. Those who would like to see the hole in its full quadratic-midget aspect can do so by entering either the p3 or p4 coordinates into the Mandel formula as center coordinates and letting it iterate. The coordinates show that today's scene lies deep in the Seahorse Valley area of the Mandelbrot set, or more accurately, the extension of Seahorse Valley into the four-dimensional Julibrot. I'll not try to describe the orientation of today's image in that 4-D object, since 4-D things are impossible for we 3-D limited beings to visualize. As is usually the case in the odd slices, the area around the hole, which in this case has been pulled into a thin slit, is stretched and distorted. The 2,4,8... series can be followed to the 'four' level, but the 'eight' level is nearly lost in the stretching and distortion closer to the hole. I named the image "Sea-What" because, though it is a view of a seahorse, it is like nothing to be found in the familiar "Seahorse Valley". And since it's not really an outstanding image, I could rate it at only an 8. The image may be viewed by running the attached 7-minute parameter file or by picking up the GIF image from Paul's web site at: or from Scott's site at: The fractal weather today was sunny and hot until 5pm, when a very strong thunder-storm moved in, dropping the temperature from 93F (34C) to 70F (21C). The fractal cats enjoyed the sudden coolness, but disliked the noise that accompanied its arrival. It's now almost 11am -- time to do something useful. So until next time, take care, and just because the fourth dimension can't be pictured doesn't mean it's not there. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Sea_What { ; time=0:07:41.65--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00000327661430389/-0.000000049069920\ 32/1.729035e+007/0.003293/-179.142/88.744 params=183/92/2/0/-0.749695276287/0.032780202799\ /-0.749695276287/0.032780202799 float=y maxiter=12000 inside=0 periodicity=10 colors=000ICEJEFKFGLGHMHINIJOJKPKLQLMRMNSNOTOPUPQV\ QRWRSXSTXTUYUVZVW_WX`XYaYZbZ_c_`d``eaafbbgcchddiee\ jffkggkhhliimjjnkkollpmmqnnroospptqqurrvsswttxuuyv\ vzwwzxwxvuvutttrssqqqpopnmomlnljljhkifjheifcheafd_\ ebZdaXc_VaZT`YS_WQZVOYUMWSLVRJUQHTOFRNEQMCPKAOJ9NI\ BOKDOLFOMHPNJPOKPPMQROQSQQTSQUURVVRWXRYZSZ`S_bS`dS\ aeTbgTdiTekUfmUgoUhpUikVlgVnbVqZVsXWrWXrUXrTYqSYqQ\ ZqPZqO_pM`pL`pKapIaoHboGboEcoDdnCdnAen9en8fm6fm5gm\ 4gm5fl6fl7el7ek8ek9dkAdjAcjBcjCciCbiDbiEbiFahFahG`\ hH`gH`gI_gJ_fKZfKZfLZeMYeMYeNYeOXdPXdPWdQWcRWcRVcS\ VbTUbUUbUUaVTaWTaWTaUS`TR`SQ`RP_QP_PO_NN_MMZLLZKLZ\ JKZIJYGIYFHYEHYDGXCFXBEXAEXBDWCDVDDVECUFCTGCTHCSIB\ RIBRJBQKAQLAPMAONAOO9NP9MQ9MQ8LR8LS8KT8JU7JV7IW7HX\ 7HX6GY6GZ6F_5E`5Ea5Db5Cc4Cd4Bd4Be3Af39g39h38i27j27\ k26k26j37j47j47j57j67j67i78i88i88i98iA8iA8hB8hC9hC\ 9hD9hE9hE9gF9gG9gGAgHAgIA } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 12 Jul 2001 19:05:44 +1200 From: "Morgan L. Owens" Subject: (fractint) Re: [philofractal] C-FOTD 11-07-01 (Sea-What [4]) At 03:05 12/07/2001, Jim Muth wrote: >... just because the fourth dimension >can't be pictured doesn't mean it's not there. > Textures in 3-D software like POV-Ray are four-dimensional (more if you count colouring). Morgan L. Owens "It's just another number." - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 12 Jul 2001 10:44:54 -0400 (EDT) From: Jim Muth Subject: (fractint) C-FOTD 12-07-01 (An Illegal Midget [8]) Classic FOTD -- July 12, 2001 (Rating 8) Fractal visionaries and enthusiasts: In yesterday's FOTD, which rated a 4, I mistakenly mentioned that the image rated an 8. So to atone for my error, I feel it is proper for me to present an image today that actually rates an 8. But to do so I must renege on my pledge to present no quadratic midgets in the month of July. Well, with only one midget, we'll call July a virtually midgetless month. I had been saving today's image for the FOTD of August 1, which will be the first day on which quadratic midgets will again be permitted. But due to the circumstances, I found it necessary to use it today. As I mentioned, today's image shows a very prominent midget. It is therefore illegal. I named the image "The Illegal Midget" accordingly. The parent fractal was created by the MandelbrotMix4 formula - -10(Z^(-1.1))-0.1(Z^(-11))+(1/C), with a bailout radius of 900. The parameter file is relatively fast, but still slow enough to cause impatience if the machine is needed for other things. But relief will soon be available on the internet at Paul's web site at: and at Scott's site at: With a temperature of 86F (30C), the fractal weather today was near perfect, the only exception coming in the early afternoon, when a dark cloud dropped a few large raindrops that chased the fractal cats indoors. Five minutes later the cloud passed on, the sun returned, and the cats once again went into the yard. It's now time to get busy. Until next time, take care. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ An_Illegal_Midget { ; time=0:14:15.16--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+5.011007493464664/-0.127916407872741/8\ 75157.1/1/130 params=10/-1.1/0.1/-11/-2/800 float=y maxiter=2400 inside=0 logmap=221 periodicity=10 colors=000AAiAAiAAgAAeAAcBAaCA_DAYEAWFAUGASHAQIBOJ\ CMKDKJCIJAFI9CI7AH67H44H32F88EDDDIJCNOASU9XZ8ad7fi\ 4lq6kn8jlAijChhDgfFgcHfaJe_LdYMcWObUQbRSaPT`NV_LXZ\ JZYH`YEaXCcWAeV8gU6hU4iT6jS7kR9lQAmPBnODoNEpMFqLHr\ KIxMMsKJoJHjIFfHCaGA`D9YF8VH7SJ6PK6ML5JL4GL3DL3AK2\ 7K14L16K58J89KCBLFDLJEMMGLQHLTJMWLM_MMbOMfPLiRKmTK\ pUJtWIwXIzWMuWPqVSlVVhVYcU`_UcVUgRTjMTmITpDSs9Sv4S\ y0Qt6OoCMjILeOJ`UHW_DQcGRdJRdLSdOSeQTeTTeVUeYUf_Vf\ bVfdWfgWgiXglXgnYgqYhsZhvZhxZhtXcqV_nTWkSShQOeOKbN\ G_LCXJ8ZI4cJ6hK8mLAqLCsMEuNGwOIwOKwNMsNNoNOkNPgMQc\ MR_MTVMUPLVMLWILXELYBKWBLZBO`BRbBTdBWfBZhBajBclBfn\ BipBkrFemI`iMVdPQ`RLXUFSWAOY5KW9MWCOXFPXIRXLTYOUXR\ WWUYWVZWXZVTUUQQTMLSJH_PCgV7pY2n_3m`3lb3kc3id3hf3g\ g3fh3ej3ck4bm4an4`o4_q4Yr4Xs4Wt4Xu4Yv4Zw5_x6`y6az7\ bz7cz8cz8cz9czAczAczBczBczCczCczDczEczEczFczOczRcz\ UczXcz_czbczeczcczgczjczm } 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 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 12 Jul 2001 14:04:05 EDT From: JimMuth@aol.com Subject: (fractint) Re: C-FOTD 11-07-01 Morgan Owens wrote: >Textures in 3-D software like POV-Ray are four-dimensional (more if you >count colouring). Yes, but we still see only 3-D variations. Our minds tell us that the various 3-D shapes can be taken together to form a single 4-D or 5-D hyperobject, but that higher form must remain forever unvisualized. Likewise, when viewing a computer animation of a rotating 4-D object, depending on the orientation, I see either a normal 3-D object rotating in the normal manner, a 3-D object changing shape in a cyclical manner, or a 3-D object both rotating and changing shape. At no time do I see the entirety of the undistorted 4-D object at a single moment of time. Of course, I would need eyes with retinas whose surfaces were three-dimensional to do so. Jim M. - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 12 Jul 2001 10:23:19 -0300 From: "Fernando Bresslau" Subject: Re: (fractint) Midgets... I would even suggest you publish a resulting sequence somewhere. I´m curious. Once I downloaded a prog that would calculate the positon of midgets. It worked, since I know the author used it to render the deepest midget found until that time. Fernando Bresslau - ----- Original Message ----- From: "David Jones" To: Sent: Tuesday, June 19, 2001 7:43 AM Subject: Re: (fractint) Midgets... > Hmm, could you make a command line version that could > take parameters from the command line or via a batch > file, then display the results? Is there some way to > save the results? It sounds like fun! > > David > gnome@hawaii.rr.com > > On 19 Jun 01 at 4:54, Multiple Bogeys wrote: > > > Over the past couple of days I cobbled together a small > > C program that is possibly the first Mandelbrot > > autoexplorer designed specifically to home in on midgets > > -- and if not, then probably the first one that actually > > works. > > > > I'd post the source code here, but there're about two > > thousand lines of it. I'd stick it on the Web but my > > pages are in a shambles. Besides, the interface sucks -- > > it's noninteractive with no parameters, you have to > > actually edit the source and recompile it to change any > > of the parameters, and without varying the parameters it > > has a limited repertoire. It produces a short zoom > > sequence (as many as 20 images) of grey-scaled distance > > estimator images that look very nice and tend to close > > in on a midget (occasionally a bud instead). > > Occasionally it "backs up" a bit and zooms back in in a > > slightly different spot. > > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" _________________________________________________________ Do You Yahoo!? Get your free @yahoo.com address at http://mail.yahoo.com - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 13 Jul 2001 15:05:13 +1200 From: "Morgan L. Owens" Subject: Re: (fractint) Re: C-FOTD 11-07-01 At 06:04 13/07/2001, JimMuth@aol.com wrote: >Morgan Owens wrote: > > >Textures in 3-D software like POV-Ray are four-dimensional (more if you > >count colouring). > >Yes, but we still see only 3-D variations. Funny, I only see 2-D variations. It's my mind that (with practice) puts these together and inter/extrapolates to give me a 3-D visualisation. Morgan L. Owens "What sort of retinas do you have?" - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ End of fractint-digest V1 #581 ******************************