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No FOTD today!
by JimMuth＠aol.com 01 Feb '02

01 Feb '02

Fractal visionaries and enthusiasts: There will be no FOTD for January 31. I am going through my old e-mail files, extracting the FOTD posts, so that I can determine which ones are missing. When I know which FOTD's I still need, I will download them from Paul's web site, which hopefully will stay up until I finish. I am doing this because I am once again having serious thoughts of producing that long-talked-about FOTD-CD. Jim M.

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re Fractint on Win2000
by Tim Wegner 31 Jan '02

31 Jan '02

I had a few thoughts on this topic. One is, why not boot to DOS to run Fractint? Can Win2000 make a DOS- bootable floppy? Another DOS alternative is Caldera OpenDOS. See http://www.deltasoft.com/opendos.htm A down side of this is there would have to be a FAT16 partition for OpenDOS to be able to access the hard drive. Tim

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FOTD 30-01-02 (Amberesque
by JimMuth＠aol.com 30 Jan '02

30 Jan '02

FOTD -- January 30, 2002 (Rating 7) Fractal visionaries and enthusiasts: Today's image features a Mandelbrot midget surrounded by a glowing amber spiral with many arms. I named the picture "Amberesque" and rated it a 7. Its render time of just under 20 minutes on a tired old Pentium 200 mhz machine, or around 5 minutes on the fastest machines, can be avoided by letting Scott do the rendering and downloading the completed image from his web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Paul's site is still not updated. Paul's web site still sits as he left it just before Christmas. It's been long enough since we last heard from him that some concern is justified. But his web site is still up, and I guess that's a good sign. But now I'm not sure how long his site will stay up, and a few of the FOTD discussions of a couple years ago were lost when I suffered a disk crash. They now exist only on Paul's site. The problem is that I don't know exactly which FOTD's are missing and need to be downloaded for the FOTD compact disk that I still have in mind. It will take quite a while to search through my archives to determine which FOTD's are missing, because the missing ones are scattered over a two-year period and the FOTD's of that period are still almost hopelessly mixed in with other old e-mail. I'll have to laboriously go through my old files to determine which discussions are missing, and download them from Paul's site while the site is still up. If a few FOTD's are late or missing in the near future, you'll know that the job has become more difficult than I imagine. The fractal weather Tuesday was like a June day in January here at Fractal central. (In the southern hemisphere it would have been like a January day in June.) The temperature reached 75F 24C, the sky was hazy but sunny, and the winds were light. Needless to say, the fractal cats were in heaven, and showed it by behaving like angels. I now find myself with a few tasks that need to be done. So I guess it's time to throw the switch and go into work mode. I'll return on schedule at about this same time tomorrow. Until then, take care and be an angel, but don't be too angelic for your own good. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Amberesque { ; time=0:19:43.37--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.145031902005977/-0.7876003678468075/\ 1.780103e+009/1/85.0016096880694505/-0.00103403611\ 634762804 params=1.5/-1.5/0.15/-15/0/525 float=y maxiter=2400 inside=0 logmap=450 colors=00000A40C60C80CA0CC0CE0CG0CH0CJ0CL2CN4CP6CT\ 6EV8EXAEZCE`EEbGEdHEeJEgLEiNEkPEmREqRGsTGuVGvXGxZG\ z`GzbGzdGzeGzgGzhGziGzhGzgJzeLzcPzaRv_TuYXqWZoU`kS\ dgQeeOibNkZMmXLqTKsVJsTIuRHuRGvPFvNEvNDxLCxJBzJAzH\ 9zGAzGCzEGzCHzCJzALz8Pz8Rz6Tz4Vz4Xz2`z0bz0dz0ez0iz\ 0kz0mz0oz0sz0uz0vz0xz0zz0zz0zz0zz0zz0zz0zz0zz0xx2u\ s6smAqgEmbHkXLgRPeLTbGX`AX`2`Z4bX6dX6eV8iV8kTAmRAo\ RCqPCuPEvNExOGzQGzSHzUHzWJzUJzSLzQLzONzMNxKPsJPkLR\ dLRXNTRLTHLVCJV4JX0HX0HZ0GZ0G`0E`0C`0C`0Eb0Ed0Ee0G\ e0Gg0Gi0Hi0Hk0Hm0Jm0Jo0Jq0Ls0Ls0Lu0Nv2Nv2Nx4Rz6Rz8\ TzAVzCXzCXzE`zG`zHdzJgzLmzLmzNmzNmzPozPozRozRszRoz\ TkzTizVgzVezVbzXbzXZzZVzZRzZPz`Lz`HzbGzbEzbCzdBzdA\ zeBzeCzgDzgEzgFziGziHzkIzkJzkKzmLzmMzoNzoOzoPzqQzq\ RzsSzsTzuUzvVzxWzzXzzYzzZzz_zz`zzaxzbuzcszeozgkzii\ zkezmbzoZzqXzsTzuPzwNzy0zz0zz2zz2zz2zz4zz4zz6zz6zz\ 6zz8zz8zzAzzAzzAzzCzzCzzA } 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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FOTD 28-01-02 (Sandy Bottom [5])
by JimMuth＠aol.com 30 Jan '02

30 Jan '02

FOTD -- January 28, 2002 (Rating 5) Fractal visionaries and enthusiasts: Sometimes I like to take fractals to the extreme. This may be an extreme magnitude, or an extremely large or small exponent, or some manmade extreme thing, such as an extreme number of layers (not possible with Fractint). Today's fractal, which is a scene in Seahorse Valley of our old friend, the Mandelbrot set, takes us to the extreme maxiter of 1,200,000. At a setting of 68,000, the logmap of today's image is also rather extreme. I have no records of FOTD logmap values, but today's value might set a new record for the FOTD. Despite the extremism however, the image rates only an average 5. And what does all this extremism do? To start, it enables one to sit back and go "wow!" It also can give a very grainy appearance to the image, which is the inspiration for the name "Sandy Bottom", which I gave to today's image. One of the more incredible concepts of today's image is the fact that some of the points have been iterated over 1-million times without going into a loop, and only then have finally escaped. One unfortunate feature of the extreme fractals is the slowness of the calculation. On my worn-out machine, today's image takes 1-1/2 hours to render. But as soon as Scott gets the calculation finished, the GIF image will be available on his web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Sunday here at Fractal Central was once again great for cats and people alike. The maximum possible sun, light winds, and temperature of 64F 18C made everyone happy. The fractal cats were so happy in fact that their exuberance boiled over into a brief quarrel. But saner heads prevailed, and the combatants separated before any blows were struck. Today promises to be just as perfect if not more perfect than Sunday. Today however, I have a bit of work to get out of the way before I let the dynamic duo into the yard. And the way to get finished is to get started. So until next time, take care, and don't work too hard unless it's on a fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sandy_Bottom { ; time=1:32:06.74--SF5 on a p200 reset=2002 type=mandel passes=1 center-mag=-0.7469\ 3897237087280/+0.07361680027292958/2.524651e+010/1\ /-80/3.00899839776672118e-005 params=0/0 float=y maxiter=1200000 inside=0 logmap=-68000 colors=000LACNACQBBSBBUBBXCAZCA`CAbFBcICdLDfOEgRFh\ UGjXHk_IlbJneKohLpkMrnNsqOttPmqTfnX_l`UidNfhGdl9ap\ 3_t3`q3`o3`m3`k3ah3af3ad3ab3a`9YXEUTJQPONMTJIYFEbC\ B_BAYAAW9AU8AS8AQ7AO6AM5AK4AI4AG3AE2AC1AA0A80AB2CD\ 3DG4EI5FK6GN7HP8IS9KUALWBMZCN`DOcEPeFQgGRgIPhJOhLN\ hMMhOLhQJhRIhTHiUGiWFiXDiZCi_BiaAib9gcCedEcdGaeI_f\ LYfNWgPUhRShTQiWOiYMj_KkaIkcGlfEmhCmjAnl8nnCllFkjI\ jhLhgOgeRfcUdbXc``bZc`Yf_WiZUlXToWRrVPuUOnSPhQQbPR\ XNSRMSTPUVRWWTYYW__Y``_bbbdcdfefggiihkkjmmkonlmomk\ onioogpphpqiprjqskqtlqumrvnrworxpyyqyyryysyytyyuyy\ vyywyyxyyyyzzyzzyzzyzzyzzyzzyzzyzzyzzyuzvqzsmzpizm\ ezjazgYzdUzaVzbVzcVzcVzdVzdVzeWzfWzfWzgWzgWzhWzhXz\ iXzjXzjXzkXzkXzlXzlUzGSzFRzFQzFPzEOzENzEMzDKzDJzDI\ zCHzCGzCFzBEzBCzBBzAAzA9zA8z97z96z9KzDQzMWzVazcgzl\ ezgdzccz_bzWazS`zO_zKazIczHezGgzFizDjzClzBnzApz8rz\ 7tz6uz5sz6qz6oz7mz7kz7iz8 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 28-01-02 (Sandy Bottom [5])
by JimMuth＠aol.com 30 Jan '02

30 Jan '02

D. Freed wrote: >The only persaon who might know about PNL & >his Page would be Scott or Jim himself, I think. Paul's absence is as big a mystery to me as it is to everyone else. The last time his FOTD page was updated was on the day before I took my 4-day Christmas break. I have heard absolutely nothing from him since then. I assume he's taking some kind of holiday trip, but I wonder why he would say nothing about it. Hopefully, Scott can fill the vacuum until Paul returns. Jim M.

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Fractint on Win2000
by Tim Wegner 30 Jan '02

30 Jan '02

Anthony asked me to post this. Any answers should be posted both to the list and to abeckwith(a)colonial.net. I'll see if I can get him on the list. Also note the web page at the bottom looks vert interesting. Tim Anthony's message: I'm sorry to bother you if you're not the one to contact on this. I am a high school teacher who has used Fractint in one of my classes for about 5 years. It is indespensible to me. This year, the school installed Windows2000 on the same computesr I used last year and now when I go to select a video mode in Fractint it says that "that mode is not available with your adapter". They are the exact same computers, only with Windows2000. I asked our techy guy, but he couldn't figure it out. Do you know what the problem and/or solution is or whomelse I could ask? (I plan to start using the program in class in about 3 weeks.) Thanks ahead of time for any help you might be able to provide me... ================================================================= FROM: ANTHONY BECKWITH Mathematics Department Chair, Concord-Carlisle High School Advanced Topics in Math- http://www.geocities.com/teego_ab

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FOTD 29-01-02 (Fractal Pop-Art [7])
by JimMuth＠aol.com 29 Jan '02

29 Jan '02

FOTD -- January 29, 2002 (Rating 7) Fractal visionaries and enthusiasts: Today's image has a pop-art look, so I named it "Fractal Pop-Art". The image is a scene in the fractal that results when 0.15 parts of Z^(-14.56) are added to 1.5 parts of Z^(-1.456), and then (1/C) is added to the whole thing. The parent fractal is an oversized, many-bayed thing with an object that vaguely resembles a main stem extending northeast from one of the bays. Today's scene is found near the end of this rudimentary stem, where it merges with a scalloped disk. Being a fractal purist, and considering equal-iteration bands to be purity, I saw it as almost a sacrilege when I turned on Fractint's 'biomorph' feature. But in this case, it adds some oomph to an otherwise bland image. As a side note, while reading the 'other' (the U.F.) fractal mailing list this morning, where I constantly lurk but almost never speak, I noticed that the question, "Can I quit my job and make a living selling fractals?", has come up once again. I suppose that nearly everyone who gets fairly good at producing fractals soon has a dream of quitting their job and becoming rich and famous by selling prints of their images. They fancy the fractal-hungry world seeing the fractals and going, "Wow! I've got to have a few of those beautiful (thousand-dollar) images!" Unfortunately, there are many reasons why this dream will not come true. To begin, the world is not fractal-hungry, it is mildly curious. Those who have the big money to pay already know this. It is possible, if the price is low enough, (ten dollars), to have a pleasant afternoon selling a few images at a local art festival, but even here, those who see the images are more interested in talking about them than buying them. As a graphic designer, I work with images every day. I know the things people want and what they are willing to pay big money for. And fractals are just not one of them. If a commercial market for fractals did actually exist, I would have found it by now. Fractals should be fun. They should not lead to the disappointment that results when one sees their dream of earning substantial money shattered. Those looking for a workable way to earn a living without being tied to a 9-to-5 job would do better stuffing envelopes at home. Today's FOTD image will earn no money for me, but I had a bit of fun creating it, and I will feel no disappointment next week when it lies filed on a disk, forgotten and worthless. Today however, it rates a 7. And the render time of one minute is an extra blessing. For those who don't want to be bothered by parameter files, the GIF image is available on the internet at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Another perfect day Monday here at fractal HQ brought out the best in the cats, who managed to spend several hours in the yard without getting into trouble. They had such a satisfying time outside in fact that they were actually eager to come indoors when evening put an end to their romp. And believe it or not, today promises to be as perfect a day as Monday. I have no idea what the dynamic duo did to deserve such good winter weather. As for me, I have a day's work to tackle before I can think of taking it easy at the fractal computer. As always, I'll return in 24 hours with a new fractal and some words of enlightenment. Until then, take care, and enlighten- ment is enlightening only for those who believe the message. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Fractal_Pop-Art { ; time=0:01:08.93--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.48527818218948/+2.369395294416768/1.\ 666966e+008/1/25/-4.0357924384268329e-006 params=1\ .5/-1.456/0.15/-14.56/0/0 float=y maxiter=12000 inside=0 biomorph=100 colors=0006ICCIMKKVRNbFz8MzO\ Rj_piIfYYzzGzzMzzRxvXnjaeZfVz0Xz8XzGXzQXnXX`euGVz8\ 0z80rACkEQbIavxzzzhzgkp`kfUk0m06eAGZOQS_RSQVOaebFa\ YO_UXYQe8zhIpjQ`k0zX0xa8meMZh6zXCz_GxaKpeQefTWjrQz\ jOzbNs_bnzWzuUwpSukQrfOpaNmzzzwzzAz22z20z20z20z2Cz\ MezbzzszzpzzmzujzehwYbpQ_hIVaAReNTfYVjgXkrYnz_pzar\ zapzYpzXpzVpzTpzRfnMYdIQSCGG8684A8AFAGICMKEROGX8mx\ RIaVKfb`jaYk_Wk_UkYSkYQkXOk0zz2zzCvzOdsnpzhezaWsQz\ 0Rz6TzGTrOVgXXYe0zr0zp8znGrmQbkzzzzsxznwzissbrkYnb\ SmpjOkeTh`YbWb_QhRzITzOTzRVzXVr_XgeXYhAe0G`0KYAQUO\ TQ_CzaKueRdheZz_SxO8xRAsVGnTzTVzXVz_VzaXueXifXYjQ8\ rTGnzzMzzRzuVum_mdbeWh2zI8zOFxTIpYOebTWh0Gz6IxCIuI\ KsOKpTNmzzuzzszzrzzpszpmsnhimaYk2z0Az4IzKQgYOUzRQz\ VOzGUzMSzQQzTOuYizXezXbzX`zXYwXUsXSpXOm4zAFzOOm_zu\ OzmVud_hWfhp0fj0eg2bbCaZM_UVYQbzbzsYzkUzbQsGGzKIzO\ KzRKzVNsKAhRGjhgrb`n_Um2d_8`bFYeIWfOShTOj0E00G2 } 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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Re: [Fractint] FOTD 26-01-02 (Domain of Numbers [5])
by Andrew Coppin 28 Jan '02

28 Jan '02

>From: JimMuth(a)aol.com >Reply-To: fractint(a)mailman.xmission.com >To: fractint(a)mailman.xmission.com >CC: philofractal(a)lists.fractalus.com >Subject: [Fractint] FOTD 26-01-02 (Domain of Numbers [5]) >Date: Sat, 26 Jan 2002 10:49:23 EST > > >FOTD -- January 26, 2002 (Rating 5) Mmm... I *like* this one 8-) Can't put my finger on why... Thanks. Andrew. _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp.

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FOTD 27-01-02 (Rain Forest [8])
by JimMuth＠aol.com 27 Jan '02

27 Jan '02

FOTD -- January 27, 2002 (Rating 8) Fractal visionaries and enthusiasts: Today's image has a strange look to it. This is not very surprising, since the image is another of those ghostly 'evaporated' scenes, which contains no outside elements. It is totally composed of trapped 'inside' points, with the <bof61> inside-coloring algorithm applied. In today's case, the evaporated version of the scene is far better than the normal inside-outside unevaporated version, which I first calculated, then rejected. The final image is well worth the lofty rating of 8. While studying the image, (I study fractal images by staring at them and shutting down my mind [which requires little effort]), I had the impression of standing on the littered floor of a tropical rain forest, looking up through the canopy of exotic, orchid infested trees. What better name than "Rain Forest" could I have given the picture? The forest grows from the parameter file seed in a little over 3 minutes. If the internet is not too busy, the fully matured forest can be seen in even less time by downloading the scene from Scott's web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> But give Scott a few minutes to render and post the image before rushing to his site. The fractal weather Saturday here at iteration HQ was absolutely perfect in all respects. A day in the middle of winter with 100 percent sunshine, a temperature of 59F 15C, and light winds, simply cannot be surpassed. At least, that's what the dynamic duo of fractal cats thought as they spent the afternoon romping in the yard, watching birds and squirrels. They were so content in fact that they didn't even notice it when I skipped their regular evening tuna treat. Today promises to be even more perfect, and I'm going to make the most of it by doing as little as possible of anything that even vaguely resembles work. Of course, searching the vast infinities for fractals is not work, so I'll likely do quite a bit of that. I'll return in 24 hours with the best of what I find. Until then, take care, and keep fractalling. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Rain_Forest { ; time=0:03:20.37--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-5.5481262467536/+3.312387502648676/294\ 6853/1/130/-1.70502704253949755e-007 params=0.2/-1\ 2/2/-1.2/0/1e+080 float=y maxiter=3600 inside=bof61 colors=000J0yH0yO6zVFzaOzhYzofzvpzzyzyryxlrufisabp\ XVoROlLGkGAKP7N06B05A06A06A07A0780882883A8PA77B78B\ 7BC7CC7ECEJKKORRUZYYedbnkhurnzyrzuNSr00zzmzzmyuyvl\ yrexnYvkRvfJubCs`6sNaSAz3Az36u13f01U00G00500N00d00\ e70eJ0fVGkaFnaCpbBrdAud7xe6ye5zf3zf7zbAzZCzVFzRJzN\ LzJOzFRzBVz7Yz3`z0bz0ez0Uz0Hv07s0Ap0Co0Fn1Hl5Kk7Ni\ APhESfGVeJYdLZ`KZYK`UK`RK`NJaKJaGJaEJ700810A50AA0B\ E0CH0CN0ER0FX0F`0Gd0Hi0Hn0Js0Kx0Kz0Hp3GfAFXHENORJV\ PKRPKOPKLPLJPLGPLEONBON8ON6OO3OO1OO0PS0RV0SZ0Ua0Vd\ 0Pe2Lf5Gh7CiA7kC3lF0nHEbNRSSdHXr7az0ez2dz6byBbvFau\ K`rO`oUZnYYkbYifXflVdpVbvU`zSZzSVzUSzUOzULyUJxUFvU\ CuUAsU6rU3pU1pU7bZERbJFfP3kV0oY0kZ3f`AdaF`bLYdRUeX\ PfbNhhJioGkuClzAkuBkoCkkEkeFk`GkXHkRJkLKkHLkCNk7Ok\ 3Oh0Jf0EZ0RR0bJ0oB0z80z61z57z2Ez0Kz0Rz0Yz0dz8azN`u\ aZnpYfzXaLSvKXdJ`NHd6Hh0J`0JS0JK5KCAK5FK0KJBSJP`RU\ bYXde`flbhufkzilylrxnxK0x } 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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FOTD 26-01-02 (Domain of Numbers [5])
by JimMuth＠aol.com 26 Jan '02

26 Jan '02

FOTD -- January 26, 2002 (Rating 5) Fractal visionaries and enthusiasts: Fractals are pretty pictures that result when certain things are done with numbers. Some see fractals as art, others see them as mathematical graphs. I try, with only some success, to present fractals as both. I named today's image "Domain of Numbers" in recognition of the fact that fractals are made of numbers in much the same way as physical objects are made of atoms. (I'll not involve myself at the present with the fact that atomic particles are best represented by numbers, but it's a curious similarity.) Today's image was created by the formula Z^(-1.7)+0.1(Z^(-17))+(1/C). Forty years ago, who would guess that such a simple expression could produce such an intricate image. Back then, some mathematicians realized that Julia sets exist, but their appearance remained a mystery until the arrival of high-speed computers in the early 1980's. Like many of the old-timers in the world of fractals, I discovered the images around 1985, when I read an article about the Mandelbrot set in the Scientific American magazine. A year or so after that, a second article appeared, which set me firmly on the path of fractal exploration. Almost 20 years later, that initial enthusiasm has not waned. Today's image rates an average 5. It is a good representation of the average fractal that appears on the screen of my fractal machine. The render time of just under 17 minutes is a bit slow for an image that is only average. For relief, I suggest a trip to Scott's web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> from where the completed GIF image may be downloaded. The fractal weather Friday was sunny with happy cats. Warm sun and a temperature of 52F 11C brought out the best in the fractal cats, who spent several hours in the yard doing whatever cats do in yards. The wind was a bit too brisk for the day to be considered perfect, but it was the closest we've come in over a week. Today promises to be even closer to perfection. And I've got the work just about caught up. It should be another great day for the dynamic duo. Check back in 24 hours to see just how perfect the day turned out. The next fractal will also be ready by then. Until I return, take care, and see you then. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Domain_of_Numbers { ; time=0:16:53.16--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.21134959886444100/-0.057343241946476\ 36/1.883642e+010/1/-99.9938442053906584/-0.0099007\ 0871181482348 params=1/-1.7/0.1/-17/0/0 float=y maxiter=1800 inside=0 logmap=279 colors=000fevbfwYizUkzQnzMqzIrzHnzFjzEfyDbvB_sAXr8\ So7Om6Kk4Ii3Ef2Ae06b03a68ZDEYJJVQOUXURaZQgcNniMunJ\ zsIzwHzwVzwizwwzwzzwzzwrzwizw_zyRzzJzwJuuJqsJkqJfn\ JbmJYjJSgJOfJJcJFbJHZIJXILUINRHQPHSNHUMHXJFZFF`BFc\ 6Ec3Ed0Ec0Ee0Dg0Bi0Al08m07o06r04u03w02z00z00z00z47\ uEFoOOjYXegc_qmVzuQzzYzoezcmwSusHzo4zk0zf0zb0vZ0qV\ 0mR0iN0eJ0_F0XB0S70N30J00F00B00F00J40NB0RI2VO4ZV7a\ _AZacXazUYzSVzQRyOOvMMsKIrIFoHDmE8jD6gB3fAKVAaKArA\ Az0Dz0Fq2Hi2J_3MS4NJ4QB6S27U07S0DR6IQBMOHRNMVMR_KX\ eJaiIfnHkrKiqNgqQfqScqVbqYaq_ZqbYqeXqbYsaZu__vZ_wX\ ayVbzUbzSczQezOezNfzMgzKgzNfzQezScwUbsXaoZ_k_ZgbYc\ eX_fVXiUSkSOmSMBcOJgQRmRZgRfSSnQUvOUoRYiS_bUcXXfQY\ jJZmE_oKamRajYaicafjacqabwa_zaYzaXzcYzeYzfYziZzjZz\ kZzmZzo_zq_zr_zs_zkXzeUzeRzfOzgKziIzjFzkDznAzq7zs4\ zv2zy0zz0zz7zzIzzSzzbzzkzzZzzMzzOzzQzzSzzUzzVzzYzz\ Zzzazzbzzczzfzzozzrzzszzu } 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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