February 2004 - Fractint - mailman.xmission.com

Fwd: Fractint list and Fractal Universe 2006
by Jim Muth 03 Feb '04

03 Feb '04

>This is an open call for you to submit your fractal >artwork for consideration for inclusion in the >Fractal Universe ® Calendar 2006. >All the information you will need is detailed on the >following website: http://www.fractalforum.com >Please make your submissions and any additional >enquires you may have via the contact form on the >above website. >Linda Allison and Tina Oloyede

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Google logo includes fractal motifs today!
by Hal Lane 03 Feb '04

03 Feb '04

################################################## The Google logo includes fractal motifs today! I first learned that Google's main page logo changes when I saw the pictures they added around the letters of 'Google' on Thanksgiving and the Fourth of July. I learned that they occasionally had whimsical additions to their logo when I observed monkeys and bananas on one occasion. Today Feb 3, '04 at 7:00am EST I found fractals worked into their logo. The 'G' in 'Google' is nestled in the lake of a Mandelbrot set, 'L' is from Seahorse Valley and the equation Z(n+1) = Z(n)^2 + C appears -- among other items. It seems we have a fractal enthusiast in a fairly high place in the Google organization... If you miss seeing this and wish to, I could put it up on my web site temporarily. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ################################################## --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.576 / Virus Database: 365 - Release Date: 1/30/04

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FOTD 03-02-04 (Path to Nowhere [8])
by Jim Muth 03 Feb '04

03 Feb '04

FOTD -- February 03, 2004 (Rating 7) Fractal visionaries and enthusiasts: Is there anything as useless as a fractal? Yes. It is the pile of 15-year-old books about using outdated computer programs, which is lying in the closet in the far corner of F.C. Some of those books were outdated when I bought them. Some of them must have been outdated by the time they were printed. And, speaking of being useless, who ever determined that fractals are useless. As I see it, we merely have yet to discover most of the uses fractals might have. Take today's fractal for example, which certainly has a small amount of use as a source of entertainment. It is a scene in the Z^2.01+C Mandeloid 315 levels up the logarithmic spiral. At this level the figure is rotated 180 degrees, so that East Valley is on the west side of the screen. Lying on the negative real axis, East Valley has had some odd things happen to it. To start, it has broadened significantly. No longer does it terminate in its usual sharp point. Instead, the valley ends abruptly in an almost straight wall. The edges of this wall hold some interesting features composed almost entirely of discontinuities. Today's scene lies in a small area of chaos near the edge of the straight wall that marks the terminus of East Valley. Surrounded by delicate fingers of chaos, the midget is one of the more unusual ones to have made the lofty status of FOTD. After a brief consideration, I rated it at a 7. If I had had more time to work on the colors, I might have worked it up to a rating of 8. Combined with the render time of 13-1/2 minutes, the rating gives the image an overall value of 59, which is not all that bad. The name I gave to the picture is "Path to Nowhere". When I thought of the name, I had in mind a trip into East valley in expectation of an infinite journey, only to find that the valley comes to an abrupt end at an impassable wall. The fun way to see the image is to run the included parameter file and watch the scene gradually come to life on your screen. The convenient way is to download the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday was a warmer day here at Fractal Central. The afternoon temperature reached 34F 1C, but this caused the snow in the yard to start melting. The fractal cats, who dislike wet paws, checked the melting ice and decided to venture no farther than the bottom porch step. This morning, the temperature is 36F 2C and a cold rain is starting. It looks like the big snow-and-ice storm that was forecasted will not develop. This is good for the humans, but with the rain, the dynamic cat duo will have another bad day. My day will turn better when I finish the work that I have scheduled to be completed today. Then I will start the search for the next FOTD fractal. Until tomorrow, take care, and wait for that next fractal. It could be a winner. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Path_to_Nowhere { ; time=0:13:34.16--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.25283251275150080/-0.006577498609819\ 30/4.376921e+010/1/177.5/3.10523039630319908e-005 params=2.01/0/315/0 float=y maxiter=1800 inside=0 logmap=370 periodicity=10 colors=000VUUmWUmWUmWUmWUmWUmWUmWUmWUmWUmWUmWUmWUm\ WTnWSoWUpVUqVUrUTsUStTQuSQvROvSQvTRvUSvVTvVUuWVtXW\ tYXsZYrZZq__q``paaobbq`fobclceidfefhbgi_hkWjlTkoQl\ qMntJovGpyDpzCmzBjyAfx9cw9`v8Xu7Ut6Qs6Ns5Kr4Gr3Dr0\ Br2Ar3Aq4Ap5Ao6An7Al8Ak99iA9gB9eD9cE9aF9`G9ZH9XI8V\ J8TK8RL8QM8OO8MP8KQ8IR7GS7FT7DU7BV79W77X75Y42`74e9\ 5`B6bD8dF9eHAfJChLDiNEjPFjRHkTIlVJmXLnZMo`NobPpdQq\ fRrhSsjUslVtnWupYvrZwt_xy_rv`qs`pq`onanlaniamgbldb\ kbbj_cjYciVchTdgQdfOdfLeeJedGecEfbBfe7gb9f_BfXCfVE\ fSFfPHfNIfPKeQLeRNdSOdTQcURcVTbWUbXWbYXaZZa__``a`b\ b_cd_deZegZfhZgjYhkYimXjnXkpWlqWmsVntVouVlsTiqRfoO\ cmMalKZjIWhGTfDQdBNb9K`7KY3JZ4I_5I`6Ha7Hb8Gc9GdAFe\ BFfCEfDGgEIhFKiGMjHOkHQlISmJUnKWoLYoM_pNaqOcrPesQg\ tRiuSkvTmwUowUqxVsxVuyVwyVyyWzzWzzWzzWzzXzzXzzXzzX\ zzWzzWzzWzzWzzWzzWzzWzzWzzWzzWzzWzzWzzWzzWzzWzzYzz\ XzzWzzUzzUzzUzzUzzUzzUzzU } 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|<a } END 20.0 PAR-FORMULA FILE==================================

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Internet Wayback Machine
by Vortex Swirling 03 Feb '04

03 Feb '04

Paul, Your welcome. Just for the fun of it I tried it on the FOTD page. It seems the last cache was made on June 30, 2003. If I go into it from there it finds that FOTD there with its full graphic. Then I went to the Jan 17, 1999 cache and found some FOTD's there, again with their full graphic. I've looked at the source of this html and what they have done is to redirect the links within the pages to point deeper into their cache. That is, if you click on a link within the cached page, you stay in the Wayback archive. You have to wonder where they are getting all the space to store this. They claim to be located in the Presidio. Gerald, That page is recent, but I stopped looking for it in the last few months of 2003 when I found the Wayback. I used Dogpile to determine the new page showed up sometime in October which is reassuring. I had looked for it quite obsessively at one time and used terms like home page etc. It would be interesting to find a search engine that might tell you about the page it finds. When it appeared, who own's the domain, etc all in one click. --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.576 / Virus Database: 365 - Release Date: 1/30/2004

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FOTD 28-01-04 (The Quintessential Midget [8])
by Jim Muth 02 Feb '04

02 Feb '04

At 10:52 AM 1/28/04 -0600, Paul Lee wrote: >Jim Muth wrote: >> >> FOTD -- January 28, 2004 (Rating 8) >> >> The render time of 19 minutes.... >> >> START 20.0 PAR-FORMULA FILE================================ >> >> QuintesentialMidgt { ; time=0:00:00.00--SF5 on a P200 >> reset=2003 type=formula formulafile=allinone.frm The answer is simple -- I forgot to type in the actual, render time, which is 0:19:21.24 Jim (the penitent) M.

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FOTD 02-02-04 (A Nest of Undines [8])
by Jim Muth 02 Feb '04

02 Feb '04

FOTD -- February 02, 2004 (Rating 8) Fractal visionaries and enthusiasts: The first day of February, the day of the great computer virus attack, has come and gone, and not much has happened -- at least as far as I have heard. This is just about what I expected. These over-hyped disasters never seem to happen. Of course, I never had reason to worry. With the precautions I take, I have absolutely 100-percent total immunity, (no exaggeration), to electronic viral attack. But though I was not concerned about my own computer safety, I was surprised when a friend called yesterday to ask if it were safe to go on the internet. I told her that the risk was slight, and settled down to wander in Fractal Land. I gave the name "A Nest of Undines" to the image I soon found. An undine is a female nature spirit who supposedly lives in the water, just as gnomes live in the earth and sylphs live in the air. I have no idea what a group of undines would be called. I doubt that it would be a bevy. I guess a nest is as good as anything. There is nothing really watery about today's image. I simply liked the sound of the name. The image is an evaporated one, created by combining 7 negative parts of Z^(-1.4142) with 0.7 negative parts of Z^(-14.142) and then adding (1/C). Since the image has been evaporated, it consists of nothing but trapped 'inside' points, which have been brought to life by rendering it with the inside set to bof60. The image is one of the few in which the 'bof60' inside fill draws the best picture. Normally, this fill draws little more than chains of bubbles, which can sometimes be quite attractive, but often are boring. In today's image however, the bubbles have been caught up in the discontinuities and ripped to shreds, so that they resemble the shape of bananas more than spheres. Another unusual feature of the scene is the almost total lack of symmetry around the central midget. This is a result of the rather low maxiter of the image. I feel that the rating of an 8 is justified. Due to the extra effort I put into its coloring, the image is one of the more unusual ones of recent weeks. Combined with the render time of 29-1/2 minutes, this gives an overall value of 35. The wait for the image to calculate can be avoided by downloading the already-rendered image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Of course, then you miss the fun of doing it yourself. Sunday was a bit milder here at Fractal Central. The tempera- ture reached a high of 32F 0C, but the yard is still shaded by the holly trees and the snow is still 15cm deep on the ground. The cats passed the day wishing for better things. Today looks like a repeat. We'll see how it goes. The work looks as though it will be heavy today. If I am smart, (which I am), I'll start on it without delay. The next FOTD is due to appear in 24-odd hours. But an ice storm is also due in 24 hours, and the reliability of the electric service here at Fractal Central in ice and wind conditions cannot be under- estimated. Until tomorrow, when the next FOTD will hopefully appear, take care, and keep searching for stray fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Nest_of_Undines { ; time=0:29:37.95--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.54156745632081060/+1.201010131049127\ 00/1170.852/1/-35/-7.59461937782646146e-014 params=-7/-1.4142/-0.7/-14.142/0/1e+100 float=y maxiter=1200 inside=bof60 periodicity=10 colors=000zb8zb8zb6zb4vb1ub0qb0nd0md0hd0ed0dd0`d0Y\ d0Wd0Sd0Od0Md0Oe0Qe0Se0Ug0Ug0Wg4Yh8ZhAZhF`kIbkKdkO\ emSemWgmYhn`kndkngmohnomoooomqmknhimefkbcj_aeXZdUW\ bQUZMRYKOWHHUDDQ88O44M11K00H00F00D00A00H08K0HO0QS0\ YW4eZ6nb8ueAzhDzmAzk8xk6vh4si1pi0mi0jh0gf0ee0bd0`d\ 0Yb0Vb0Sb6PgOEidzqszvzzzqzzdqzOZz8Hz6Kz1Mz0Qz0Sz0W\ z0Yz0`z0bz0ez0gz0kz0mz0nz0hz0dz0`z0Wz0Sz0Mz0Iz0Dz1\ 8z41z60zSK0QO0OQ0OS0MW0MY0KZ0K`0Id0Ie0Hg0Hk0Fm0Fn0\ Do0Ds0Au0Av08z08z06z06z0Az0Fz0Iz0Mz0Qz0Uz0Yz0`z0dz\ 0gz0hz0mz0oz0sz0vz0zz0zx0zx0zx0zx0zx0zx0yyKxzUwzUv\ zIvz0vz0vz1vz8vzDvuHvnMvhQvbWvWZvObvHgv8kv1nx0kx0g\ z0ez0bz0Zz0Yz0Uz0Qz0Oz0Kz0Iz0Fz0Az08z04z00z00z00z0\ 0z00z00z00z00z40z80zF0zI0zM0zS1zW4zZ8zbAzgDzkHznIz\ sKzvOzzQzzSzzWzzYzzZzzbvzd0zq6zkIzdUzZduSnoKxkFze6\ z`0zY0zZ0zZ0z`4z`8zbDzbHzbKzdOzdSzeWzeZze`zhYzkWzn\ UzoSzsQzeQz`IzbHzbFzbDzbA } 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==================================

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Internet Wayback Machine
by Vortex Swirling 02 Feb '04

02 Feb '04

Too bad the manguide and the short manfaq couldn't be hosted at spanky. The manguide is rather unique in that I haven't seen anyone else annotate the Mandelbrot set in that way. I wonder if Paul would mind? I wonder where and who Paul actually is? --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.576 / Virus Database: 365 - Release Date: 1/30/2004

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FOTD 01-02-04 (Golden Bud [4])
by Jim Muth 01 Feb '04

01 Feb '04

FOTD -- February 01, 2004 (Rating 4) Fractal visionaries and enthusiasts: Today's image is named "Golden Bud". This does not imply that the bud is a golden color. I gave it that name because the parent fractal was created by using the golden ratio, or 1.618, twice. Actually, the bud, or the interior of the bud, is an electric blue color. The generating formula of the image is Z^1.618+C. This means that each bud in the resulting fractal will have 0.618 part of one lobe. But unlike the buds of the whole Mandeloids, where all buds are of a similar shape, the buds of the fractional Mandeloids have no fixed shape. The missing part of the next- higher whole bud can take any shape whatever. The next-higher whole bud in today's instance is the near-per- fect circle of the buds of the classic Mandelbtot set. The 0.382 part of a circle that is missing has been eroded rather equally from the entire perimeter, leaving a rather squat bud with assorted nooks and crannies. Some of these crannies might hold some interesting scenes. The drawback to the exploration is the extreme slowness of the area. I wanted to give the image a rating higher than the 4, but in all honesty I could not. I worked on it for my own amusement rather than to make as good a picture as possible. Combined with the render time of 22 minutes, the image has an overall value of 18. The completed GIF image is available on Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It remained very cold all day Saturday here at Fractal Central, and as a result, the fractal cats remained very close to the heat. At one point, Thomas did check the conditions on the porch, but the temperature of 19F -7C and lack of direct sun was far too chilly for his ears. He turned around after only two minutes and came back inside to enjoy the heat. This morning is starting about the same; I suppose the cats will have a repeat day. So far, my day has been uneventful, but the fractal lady has that 'lets go shopping for antiques' look in her eye. I fail to see what's so interesting about stuff that others no longer want, but who knows . . . on rare occasions something worthwhile does turn up. One thing certain to turn up however is the next FOTD, which will appear tomorrow. Until then, take care, and older is not always better. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Golden_Bud { ; time=0:22:18.97--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=mandelbrotbc1 function=floor center-mag=+0.19019301420027440/-0.004400056781287\ 68/31007.75/1/24.86/-1.94137206310784904e-011 params=1.618/0/1.618/0 float=y maxiter=15000 inside=255 logmap=187 periodicity=10 colors=000bXqbYocZnc`lcakdbiLQHOMHQHGRIHRIHRJHRJIR\ KIRKIRLJRLJRMJRMJRNKRNKROKROLRPLRPLRQMRQMRRMUFRSLO\ RRMPWJOaHNfFMeGMdHLcILcJKbKKaLJ`MJ`NI_OIZPHYQHYRGX\ TGXUFWWFWXEWZEV_DV`DVbCUcCUeBUfBThATi8RkATjBUiCViE\ WhFYgGZgI_fJ`eKaeMcdNdcOecPfbRhaSiaTj`Vk_Wl_XnZZoY\ _pY`qX`tVasWarXaqXbpYboZbnZcm_cl_ck`cjadiadhbdgcef\ ceededdecefbffaff`gg_hgZhgYikctghpgXiZJVP4IR5HS5HU\ 6HV6GX6GY7G_7F`8Fb8Fc8FcCHcFJcILcLNcOPcRRcUTcXVc`X\ ccZcf`cibcldcofcrhcujdzfcxkcvpcttbrybpzcrzbnzajz`f\ z_bwZZsZVpYRlXNhWJeVFaWASVBWVCZUDaUDdUEgTFjTFmSGpS\ HsSHvRIyRJzQHzRJzSKzSLzTMzTNzUOzUPzVQzVRzWSzWTzXUz\ YVzYWzZXzZYz_Zz__z``z`azabzaczcczdczeczgczhcziczlb\ zkczjczjdzidzhdzhezgezgezffzefzefzdgzdgzcgzbhzbhza\ hzaiz`iz_iz_jzZjzZjzYjzXjzWjzVlzUlzTmzSmzRozQozPpz\ OpzNrzMrzLrzLrzNszOszQszRszStzUtzVtzXtzYuzYuzZuzZu\ z_vz_vz`vz`vz`vzavzavzmzz } 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|<a } END 20.0 PAR-FORMULA FILE==================================

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Internet Wayback Machine
by Vortex Swirling 01 Feb '04

01 Feb '04

The FOTD's are annotated quite nicely by Paul Lee with various web links. In the past there was a link to Paul Derbyshires "Quck Guide to the Mandelbrot Set" when describing various regions of the Mandelbrot set. The last known site where this guide posted seems to have gone 404. I been checking from time to time to see it might have found a new home. Then I found out about the Internet Wayback Machine at http://www.archive.org/web/web.php With it, you can find cached copies way back to 1996. A page might be cached several times. I was able to display the most recent cache of Paul Derbyshires Guide by going to this link. You can go there directly: http://web.archive.org/web/20030618092046/http://www.globalserve.net/~derby… --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.573 / Virus Database: 363 - Release Date: 1/28/2004

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