FOTD -- August 24, 2014 (Rating A-8,M-7)

Fractal visionaries and enthusiasts:

With a new fractal cat on the loose here at Fractal Central, things have been busy, busy, busy. But they have not been too busy to dredge up another fractal, which is no surprise. After all, the supply of fractals is limitless.

I found today's mini-wonder along the main spike of the Z^(2.001)+C minibrot at the tiny level of 0.001 turns down the hyperspiral, where the large minibrot on the spike is just starting to split apart. The exact location is in the debris where the main bud of the minibrot has come apart.

The name "A Forgotten Region" refers to the fact that all fractals are only potentially real until they are stumbled upon by an intrepid explorer (like myself).

The art rates an 8 because this describes the effort I put into the coloring. The calculation time of 40 seconds is mercifully brief, making viewing the image a pleasure rather than a chore. And the web sites can make things even better.

Check the finished image at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

A perfect day passed here at Fractal Central today, with a temperature of 79F 26C and photoshop blue skies decorated with cottonpuff white clouds. The fractal cats enjoyed the conditions as much as possible, while the humans did the same.

The next FOTD will be posted in the near future. A picture of the new fractal cat will also be posted shortly. To find out how near the future will be, check back early and often. Until next time, take care, and pay no attention to the things those ignorant ________ on the other political side are saying.

Jim Muth jimmuth@earthlink.net

]]>

FOTD -- August 22, 2014 (Rating A-8,M-7)

Fractal visionaries and enthusiasts:

In the Z^(2.003) Mandeloid there are curious rectangles near the X-axis just east of the large minibrot, which are especially prominent in the Julia sets of the area. Today I wondered what exists in this same area of the Z^(2.002) Mandeloid.

What I found is a kind of proto-rectangle, filled with a slew of intricate and quite decorative detail. As is the case with the Z^(2.003) rectangle, a tiny change in the 'C' value makes a great change in the image. Today's image shows one of the more impressive aspects of this protorectangle.

The reason for the name "Rectalgle's Cousin" is obvious. The calculation time of a zippy 35 seconds will pass in a flash and a half. And as always, calculation may be totally avoided by checking the web sites.

The finished image is posted at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

After a torrential thunder-storm yesterday, which flooded the basement of the local city hall, today was much calmer here at Fractal Central, with partly cloudy skies and a temperature of 81F 27C. The three fractal cats, (Nicholas and Jasmine have been joined by a four-month-old kitten probably named Lida.), spent most of the afternoon resting after spending the morning becoming more familiar with one another.

The next FOTD will be posted in due time. Until the time is due, take care, and why can't I shake the nagging impression that the U.S. government itself is responsible for much of the continuing unrest in the world, especially the Middle East?

Jim Muth jimmuth@earthlink.net

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FOTD -- August 19, 2014 (Rating A-8,M-5)

Fractal visionaries and enthusiasts:

The name of today's FOTD, "1.4142_Minibrot", says it all. The image is a view of a minibrot in the Z^(sqrt(2))+C Mandeloid as it appears at a level of 1.373 turns up the hyperspiral. At this not very lofty height the parent fractal resembles nothing as much as a lima bean with a short filament extending southwest and a long but disconnected filament extending north. Today's scene is located in the East Valley of a larger minibrot on the northern filament.

Actually the hyperspiral does not produce an infinite variety of fractals, but is a loop of 4.4428828..., at which point the fractal returns to the one that exists at the zero level and starts the cycle over.

The art rates an honest 8. I spent near a half hour on the colors. With a rating of 5, the math falls short however. The math is now old stuff.

The calculation time of 1-1/2 minutes is fast enough to avoid impatience, and slow enough to enjoy the unfolding of the scene. And as always, instant relief is available on the web sites.

Check the finished image at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

The weather was perfectly average here at FC today, with hazy sun and a temperature of 81F 27C. The fractal cats agreed. The humans also agreed. Until the next FOTD appears in a day or two or three, take care, and wonder what it's all about.

Jim Muth jimmuth@earthlink.net

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FOTD -- August 18, 2014 (Rating A-6,M-7)

Fractal visionaries and enthusiasts:

Today's image is named "Blattaria_Specimen", and the image certainly does resemble a specimen of the order. Actually, the image is a Julia set of the valley at the western extremity of the main bay of the Z^(1.05)+C Mandeloid as calculated at a tiny 0.024 turns up the complex logarithmic hyperspiral and a little into the imag(y) direction.

The art rates a 6; we have been here several times before. The math rates a 7; we have been here before but not at this level of the hyperspiral.

The calculation time of 1-1/2 minutes will pass in a semi-flash. The web sites will eliminate the flash.

The finished image is available online at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

Perfect weather prevailed here at Fractal Central today. Perfection is described as blue skies decorated with puffy white clouds, low humidity, and a temperature of 79F 26C. The fractal cats had a mostly pleasant day, but did get into a tussle when Jasmine leaped from the couch onto Nicholas and caused his tail to puff up. The humans spent the day working.

The next FOTD will be posted in a day or two or maybe three or four. Until whenever, take care and I have nothing to say about current events in Saint Louis except that I am disappointed that the same old problem still exists even 50 years after the Civil Rights Act was passed, and after 50 years of the best-intended efforts to eliminate discrimination and poverty, and finally achieve true equality. It is actually starting to appear, at least to me, that achieving equality might be a wishful myth.

Jim Muth jimmuth@earthlink.net

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FOTD -- August 14, 2014 (Rating A-6,M-7)

Fractal visionaries and enthusiasts:

Today's image is titled "Rectangle Break-Up" because that's exactly what it is. Like the previous image, it shows one of the strange rectangles in the Julia aspect of the Z^(2.003)+C Julibrot in a state of partial disintegration.

The art rates a 6, the math, a 7. The calculation time of one measly minute will cause no impatience. And as always, the web sites can eliminate calculation completely.

I'll continue exploring different aspects of the rectangle in the next few FOTD's. Then we'll move on to new and hopefully greater fractal things.

Check the image on the FOTD web sites at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

Near perfect weather prevailed here at Fractal Central today, with a mix of sun and clouds, low humidity, refreshing breezes and a temperature of 77F 25C. Both the cats and the humans enjoyed the fine day.

The next FOTD will be posted in a day or two. Until then, take care, and people will never learn to get along together until they are willing to hear and understand the views and problems of the other side.

Jim Muth jimmuth@earthlink.net

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FOTD -- August 13, 2014 (Rating A-5,M-8)

Fractal visionaries and enthusiasts:

Today's formula is another new one:

------------------------------------------------

BranchCutGenJul { ; Jim Muth Z=Pixel, C=p2: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<100 }

------------------------------------------------

The formula is a Julia version of the 'BranchCutGen' formula.

The image shows a variation of our old friend, the strange open rectangle in the Julia sets of the Z^(2.003)+C Mandeloid. The rectangle itself, distorted and partly filled in, fills the entire screen.

The name "Rectangle Regress" refers to the infinite regress in the image. Such regress is quite common in fractals, and in today's image appears as the smaller rectangle just northeast of the center of the large rectangle. This smaller rectangle is an exact copy of the larger rectangle, and has an identical but even smaller rectangle near its center. The process continues to the limit of resolution.

The art rates an average everyday 5. The math rates a slightly liberal 8 because of the regress and also because of the new formula,

The calculation time of one minute should cause no problems, but the web sites are always there to eliminate the calculation hassle.

The image has been calculated and posted to the FOTD web sites at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

After 3 inches, 7-1/2cm, of rain yesterday, today was a great improvement. The partly cloudy skies and temperature of 79F 26C were just what the doctor ordered. The conditions must have been just what the fractal cats' doctor ordered also. They spent most of the day at the windows watching the birds and the occasional passing squirrel, while the humans watched the work.

The next FOTD will be posted within a reasonable time. Until reason prevails, take care, and the less the entropy the better the situation.

Jim Muth jimmuth@earthlink.net

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FOTD -- August 10, 2014 (Rating A-8,M-8)

Fractal visionaries and enthusiasts:

Today's image is named "Miracle Fractal". The miracle is that, with an exponent of Z of 1.05, it exists at all, and also that I was able to find it.

The parent fractal resembles an indian arrowhead, with small areas of chaos scattered along the edges. Today's image is located deep in one of these apparently barren areas of chaos on the northern edge of the large main open area.

Both the art and math rate an 8. The extra coloring effort earns the art rating. The unlikeliness of finding a minibrot at all in the parent fractal makes the math also worth an 8.

The calculation time of 7-1/4 minutes is a drag, but help is available at the web sites.

For convenience, the image has been calculated and posted to:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

Near perfect weather prevailed here at Fractal Central today. The sunny skies, temperature of 84F 29C, low humidity and gentle breezes made both the fractal cats and people happy. Fractal cat Jasmine, who has her one-year birthday in ten days, was especially frisky. When she jupmed from the couch onto Nico, he gave her a resounding hiss.

The next FOTD will be posted when it is ready. The FOTD's have been coming slower lately, but at least IMO, they are better. Until everything is ready, take care, and make progress.

Jim Muth jimmuth@earthlink.net

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FOTD -- August 11, 2014 (Rating A-7,M-8)

Fractal visionaries and enthusiasts:

Start with the number 5, extract the square root, add 1 and divide the sum by 2. The result is 1.618034... the Golden Ratio. This number is also the exponent of Z in today's image, which is why I named it "Golden Perfection".

To add to the interest, I calculated Z^(1.618034)+C one level up the complex logarithmic hyperspiral. At this not-so-lofty level, the parent fractal resembles a twisted Mandelbrot set rotated so that East Valley faces southwest and the large main-stem bud faces northwest. Today's scene lies on what should be the northern shore line of East Valley.

The art rates a 7, since I really could have done a little more with the colors. The math rates an 8. This minibrot is one of the most symmetrical I have yet found in the fractal exponent range between one and two.

The calculation time is 3-1/3 minutes, a time that could breed impatience. But this time may be saved by checking the FOTD web sites.

Be sure to visit the FOTD web sites at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

Morning and early afternoon were perfect today here at Fractal Central, with sunny skies, puffy clouds and a temperature of 82F 28C. But later in the afternoon, heavier clouds moved in, with rain expected tomorrow. The fractal cats, who expect nothing more than play and food, were unconcerned with the coming rain. The humans, who will be working inside tomorrow, had equally little concern.

The next FOTD will be posted in the appropriate time, whenever this might be. Until then, take care, and if religion is doing its job, why is the number one question of life, 'what happens to us after we die?'

Jim Muth jimmuth@earthlink.net

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FOTD -- August 07, 2014 (Rating A-7,M-8)

Fractal visionaries and enthusiasts:

NEW FORMULA!!

Today's formula is another new one. Forget about the ersatz 'new' formula posted on August 4th, which has already been discarded.

------------------------------------------------------------- BranchCutGen { ; Jim Muth Z=C=Pixel: Z=log(Z), Z=exp(real(p1)*(Z+flip(imag(p1))))+C, |Z|<36 } -------------------------------------------------------------

Given impetus by Hal Lane, I decided to see how much I could simplify the BC formulas and still get the same fractals. Today's formula is about as far as I could take the process. When I analyzed the old formulas, I was surprised at how many terms simply canceled out or had no effect. Today's new formula is the result. The by-product is a 33-percent increase in speed.

I named today's image "The FMOD Cycle" mostly because the image was rendered with the inside set to 'FMOD'. The cycle part of the name refers to the complex logarithmic hyperspiral of the Z^sqrt(2)+C fractal, which, starting at zero, repeats every 4.442... levels. Today's image is located 2.221... levels up the hyperspiral, which is exactly halfway back to the starting point and produces a parent fractal with X-axis symmetry.

The art worth of the image impresses me as a 7; the math rates an 8, which is perhaps overblown. After all, the basic math is old stuff. Only the streamlined formula is new.

Today's image is the actual parent fractal, made somewhat unrecognizable by the 'FMOD' inside fill. This is why it calculates in a matter of 22 seconds. If this is still too slow, the web sites can make things a bit speedier.

Check the finished images at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

A mix of puffy clouds and blue sky, a temperature of 79F 26C, a passing afternoon shower, refreshing low humidity, and a gentle north wind made today a day worth waiting for here at Fractal Central. The fractal cats missed much of the day when they slept all afternoon. The fractal humans had an uneventful though busy day.

The next FOTD will be posted in the appropriate time. Until whenever this might be, take care, and the governments tell the people what they can and cannot do, the big corporations tell the governments what to order the people to do, but who tells the big corporations what to tell the governments to order?

Jim Muth jimmuth@earthlink.net

]]>

FOTD -- August 04, 2014 (Rating A-8,M-5)

Fractal visionaries and enthusiasts:

NEW FORMULA ALERT!

-----------------------------------------------------

MandelbrotSqrt2BC { ; by several Fractint users p=p1, q=2*PI*(p/(2*PI)), r=p1-q, Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(1.414213562373*(Z+flip(q)))+C |Z|<36 }

-----------------------------------------------------

Today's formula is a new one, an addition to the 'BC'or 'branch-cut' group of formulas, which are supposed to draw the other fractals resulting from the multi-valued nature of the complex logarithm. Since Z^(sqrt(2)) is the exponent I use most frequently, I have simplified the formula, and in doing so, I have also speeded up the calculation a little.

But even from the beginning, the math of the 'BC' formulas has been questionable. The formula for the complex logarithm as listed in the second edition of "Fractal Creations" is . . .

(1/2)In(x^2+y^2)+i(arctan(y/x)+2kPI

where k can be any real positive or negative integer.

The value I have entered for 'k' in today's image, -9.42477, shows the math flaw, since it is not an integer, but despite the flawed math, this fractional value still creates a fractal. (I'll not even try to guess what errors might be created by the spurious trig functions that I sometimes use.)

The parent fractal of today's image is a chaotic indescribable thing with a long zig-zagging filament extending from its northeast side. Today's scene lies in the 'East Valley' area of a tiny minibrot on this filament.

I named the image "Squarely Rooted" because the exponent of Z is the square root of 2. The artistic aspect is a little better than most recent images and rates an honest 8. Except for the new formula, I could find nothing new in the math, which rates a boringly average 5. The calculation wait of 3-5/6 minutes may be avoided by checking the web sites.

Check the finished image on the FOTD web sites at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

Today brought a mix of clouds and sun, and a temperature of 81F 27C to Fractal Central, the historic center of fractal activity. After a relaxing week-end, the fractal humans got back to work; after a relaxing week-end, the fractal cats continued relaxing.

The next FOTD will be posted in a day or two, or maybe three. Until whenever, take care, and when watching the media news, try to separate the propaganda from the facts.

Jim Muth jimmuth@earthlink.net

]]>

FOTD -- August 01, 2014 (Rating A-7,M-7)

Fractal visionaries and enthusiasts:

Today's scene lies in the same parent fractal as the previous two FOTD images. It is located in a fractured spiral on the main bay side of the northwest branch of the valley serving as the gateway to the squashed bug's head. The view to the east from this point is water all the way to the horizon, which is why I named the image "An Ocean View".

The spiralling energies in the area are apparent, though with the fractional exponent of Z, which is 1.75, these arms are well broken up.

In my opinion, both the art and math aspects of the image rate a 7 -- good enough to earn FOTD status but not enough for the cigar.

The calculation time of 6 minutes definitely drags, but calculation may be avoided by checking the web sites.

For convenience, the image has been calculated and posted to:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

A mix of clouds and sun and a temperature of 84F 29C kept today on the pleasant side here at Fractal Central. The next FOTD will be posted in about two days. Until then, take care and beware.

Jim Muth jimmuth@earthlink.net

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FOTD -- July 31, 2014 (Rating A-7,M-5)

Fractal visionaries and enthusiasts:

Today's image lies in the same squashed-bug parent as yesterday's, but instead of being located in the bug's head, today's image lies in a valley of a large disconnected minibrot just northeast of the main body of the parent.

This valley has two totally dis-similar sides, a peculiarity that is reflected in today's image with its large sinuous areas and contrasting smaller areas of angular chaos.

The name "On the Other Side" refers to the location of the scene in the parent fractal. The art rating of a 7 shows that I consider today's image to be somewhat of an improvement over yesterday's, while the math rating of a 5 shows that the math trick is old hat.

The calculation time of a dragging 4 minutes may be eliminated by checking the web sites.

The finished image is posted at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

A mix of clouds and sun with a temperature of 81F 27C made today another rather pleasant one here at Fractal Central. The fractal cats and humans had an uneventful afternoon, which was pleasant to experience but makes boring reading.

The next FOTD will be posted sometime next month, maybe as soon as tomorrow. Until whenever, take care, and sometimes the losers of battles turn out to be winners.

Jim Muth jimmuth@earthlink.net

]]>

FOTD -- July 30, 2014 (Rating A-6,M-6)

Fractal visionaries and enthusiasts:

Today's fractional-value minibrot scene lies in the parent fractal that results when the expression Z^(1.75)+C is iterated 7 levels up the complex logarithmic hyperspiral. This parent resembles nothing more than a squashed bug with its head facing southwest, but not wanting to turn off potential viewers, I named today's FOTD "Countdown to Earth", which has little if anything to do with the appearance of the image.

The scene is located in a valley leading to a small bud on the southwest side of the bug's head.

The math and art aspects both rate a 6. I could find nothing really new in the image.

The calculation time of 3-1/4 minutes is rather slow. The web sites can speed up the viewing pleasure however.

Check the finished image at the web sites without the inconvenience of calculating it. The web sites may be accessed at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

A pleasant mix of sun amd clouds with an equally pleasant temperature of 77F 25C made today here at Fractal Central fit for a king. With no king in the vicinity, the day was enjoyed by the fractal cats and humans (cats always coming first, of course).

The next FOTD will be posted in the appropriate time. Until then, take care, and live with honor but don't get preachy.

Jim Muth jimmuth@earthlink.net

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FOTD -- July 28, 2014 (Rating A-7,M-7)

Fractal visionaries and enthusiasts:

Today's image lies at the northern edge of the parent fractal that results when 5.5 negative parts of Z^(-2.3) are combined with 1.6 negative parts of Z^(-6.1) and (1/C) is added on each iteration. This unlikely and admittedly whimsical combination produces a fractal that resembles a panda bear lying on its left side, with today's image located on the outer edge of its right ear.

I named the image "The Blues on Parade" not because I am in a particularly depressed mood but because of the preponderance of blue shades in the scene.

Most of the artistic effect was achieved by rendering the image with the 'tdis' outside option turned on, resulting in a rating of a 7. The math aspect also rates a 7 even though today's trick is over 12 years old.

The magnitude of 7*(10^12) is somewhat beyond the limit of perfect resolution, but at least in my opinion, the slight breakdown actually improves the appearance.

The image is a fast one, finishing in one minute or so on all but old leftover machines from the last century. Fractal fans with these technological anachronisms may enjoy the finished image on the FOTD web sites at:

The glorious finished image is posted online at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

A mix of clouds and sun, with a temperature of 77F 25C and a lively breeze from the west made today quite acceptable here at Fractal Central. The fractal cats enjoyed their comfort as they took turns sleeping and watching pigeons. The fractal people, with other things to do, had no time to sleep or watch pigeons.

The next FOTD will be posted in the near future. Until that moment of awe and wonder arrives, take care, and the news of the world's events is less stressful to experience when one has a neutral standpoint.

Jim Muth jimmuth@earthlink.net

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FOTD -- July 25, 2014 (Rating A-7,M-2)

Fractal visionaries and enthusiasts:

The low rating of the math part of today's image indicates that the expression Z^2+C, which creates the Mandelbrot set as well as today's image, is perhaps the oldest one in the fractal book. The scene lies in a minor valley of a small bud on the western edge of the large period-3 bud on the north shore of the main bay of the M-set.

The name "Peaches and Plums" refers mostly to the peach-like colors of the circular basins surrounding the central minibrot.

The calculation time of <30 seconds is true when the image is calculated with conventional math. Switching to arbitrary precision math produces an image with slightly better resolution, though instead of seconds, the calculation time will be hours. But as always, such monumental decisions may be avoided by viewing the finished image on the web sites.

The finished image is posted online at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

Another picture-postcard-perfect day passed quietly here at Fractal Central today. The fractal cats fully enjoyed the temperature of 77F 25C, while the fractal humans enjoyed the photoshop blue skies and white cottonpuff cumulus clouds.

The next FOTD will be posted before the world's oldest and most difficult question is answered. Until whenever, take care, and that question is why an all-good, all-powerful and all knowing god permits bad things to happen to good people.' Denying that God exists is an evasion of the question, not an answer.

Jim Muth jimmuth@earthlink.net

]]>

FOTD -- July 24, 2014 (Rating A-7,M-6)

Fractal visionaries and enthusiasts:

After studying today's image for a few seconds, I decided that it appears to be filled with pillows. Maybe it is, maybe not, but whatever, I named it "Soft Landing".

The generating expression mixes 0.125 part of Z^(-2.5) with Z^2 before adding (1/C) on each iteration. This combination produces an oversized Mandeloid that resembles nothing as much as a kidney bean or a peanut, with the East Valley on the west side and the small, almost invisible main spike pointing east. Today's scene lies on the north shore line of the 'east' valley.

The art rates a 7. After all, I did put some extra effort into the coloring. The math rates only a 6. Today's math trick is over 10 years old.

The calculation time of 4-3/4 minutes borders on slowness. To save time and effort, check the finished image on the FOTD web sites.

The finished image is posted at:

<http://www.crosscanpuzzles.com/Archives.html>

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

<http://www.Nahee.com/FOTD/>

<http://user.xmission.com/~legalize/fractals/fotd/about.html>

Near perfect conditions prevailed here at Fractal Central today, with photoshop (aka kodachrome) blue skies, cotton-candy white clouds and a temperature of 77F 25C. Both the fractal cats and humans enjoyed the conditions as much as possible. The next FOTD will be posted soon. Until 'soon' arrives, take care, and be wise.

Jim Muth jimmuth@earthlink.net

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