FOTD -- September 26, 2014 (Rating A-8,M-5)

Fractal visionaries and enthusiasts:

Today's image lies in the parent fractal that results when 4 parts of Z^(-1.4) are combined with 0.4 part of Z^(-12.6) before (1/C) is added on each iteration. This parent fractal vaguely resembles a Mandelbrot set rotated 180 degrees, with a double Seahorse Valley setting off the main bud.

This valley has two branches on both the north and south sides. On the north side the branches diverge as they approach their limits, but on the south side, the branches converge and merge into a single valley. Today's image lies in the area where the two branches merge.

The name "Briskly Efficient" can mean whatever the viewer decides. To me it refers to the rather brilliant coloring, which earned a rating of 8. The math is the decade-old MandAutoCritInZ stuff, so I could rate it no higher than a 5.

The image is a rather slow one, requiring up to 12 minutes to finish on today's average machine. To make life more rewarding, the web sites are always online.

Reap your reward by viewing the finished image 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>

Today dawned foggy here at Fractal Central, but the fog quickly cleared away, leading to a perfect day, with the usual photoshop blue skies, cottonpuff clouds, gentle winds and a temperature of 75F 24C. The three fractal cats and two fractal humans agreed.

The next FOTD will most likely but not certainly be posted in two days. Until whenever, take care, and I am strictly for religious freedom in the U.S. as long as it includes the freedom of all religions to worship their vision of the divinity.

Jim Muth jimmuth@earthlink.net

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FOTD -- September 25, 2014 (Rating A-8,M-8)

Fractal visionaries and enthusiasts:

While playing with old discarded formulas, I recently stumbled upon today's image, which must be seen to be believed. The image is a slice through a 'dividebrot' Julibrot at an angle only 0.02,0.02 degrees from the Julia orientation. The name "Intricate Web" comes close to describing the scene, but the word 'web' does not do full justice to it. The more delicate parts resemble a spider's web closely enough, while the more solid parts look more like floating blocks of concrete.

To find the best proportions I did stretch the image somewhat in the horizontal direction, though not enough to distort the image or change the overall effect.

The coloring is mostly accidental. Only a small part of it is my own creation.

The calculation time of 3-1/4 minutes will pass faster than expected once the details become apparent. Of course, the web sites are always available for even faster satisfaction.

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>

Today began with cloudy skies and light sprinkles here at Fractal Central. But by afternoon the rain ended and the sun appeared, making the fractal cats and humans quite happy. The temperature of 70F 21C could not have been better.

The next FOTD will be posted in time. Until the time arrives, take care, and the U.S. president, Mr. Obama, recently stated in an address to the United Nations that the cause of empire leads to the graveyard. Since, his country, the United States, has over 500 military bases scattered around the world, I wonder which nation he was talking about. And I'm a little on the conservative side.

Jim Muth jimmuth@earthlink.net

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FOTD -- September 22, 2014 (Rating A-7,M-7)

Fractal visionaries and enthusiasts:

Today's image is named "Eight Buttons" because eight buttons are in the image, seven around the minibrot, the eighth in the upper left corner. Actually, an infinity of similar buttons fill the frame, though they are too small to be visible at the magnitude of today's image.

The squashed-bug shaped Z^(1.57)+C parent fractal is the same one that held the most recent image. Today's scene lies in a jagged disconnected string of debris well inland from the southern branch of Seahorse Valley of the parent.

The art is nothing to write home about and the math is hardly new, so both the art and math aspects of the image rate an adequate 7.

The calculation time is the real winner however. At a fireball fast 30 seconds, the image will be finished, if anything, in too brief a time, so make things more interesting by visiting 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>

There was definitely a touch of autumn in the air today here at Fractal Central, with a brisk north wind, blue sky mixed with dark lumpy clouds, and a temperature of 64F 18C. The fractal cats enjoyed the outside from the inside, while the fractal humans found only a little in either place to enjoy.

The next FOTD will be posted in the not-too-distant future. Until whenever, take care, and stay alert for the next imminent threat.

Jim Muth jimmuth@earthlink.net

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FOTD -- September 21, 2014 (Rating A-6,M-8)

Fractal visionaries and enthusiasts:

Today's scene lies in the southern branch of the distorted Seahorse Valley of the amorphous parent that results when the expression Z^(1.57)+C is iterated 1.57 levels up the complex logarithmic hyperspiral. This parent somewhat resembles a squashed bug. I chose 1.57 because this is close to half the value of PI, and with the BranchCutGenHJ2 formula the branch cut hyperfractals are in a cycle of 2*PI.

The image was calculated with a maxiter of over one-million. This slows the calculation process notably, but is necessary to fully resolve the prominent minibrot, whose bright upper edge inspired the name "The Bright Side". This brilliant upper edge contains elements of extremely high iteration count, which makes the ridiculous maxiter necessary.

The art has nothing special to offer, so it rates a mere 6. The math rates an 8, mostly because of the ultra-high iteration stuff on the northern edge of the main bay of the central minibrot.

With a maxiter of 1,250,000, the image is slow, taking over 9 minutes to finish on a high speed SOTA machine, that is if one can be found that does not get constipated when it hears the word DOS and then needs an add-on program to get it moving. Luckily, the FOTD web sites are online to avoid the whole messy problem.

Much time may be saved by viewing 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 late taste of summer to Fractal Central, with partly cloudy skies, a gentle south wind and temperature of 82F 28C. The fractal cats were so eager to get outside that the humans discussed screening in the back porch to give them a safe outdoor catarium to enjoy.

The next FOTD will be posted in the proper time, which of late has been every two or three days. Maybe I should think of another name for the FOTD, since it no longer reliably appears every day. Until whenever, take care, and when things go wrong, look for a bright side and then expect to pay a small fortune to a psychotherapist.

Jim (Captain Negative) Muth jimmuth@earthlink.net

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FOTD -- September 18, 2014 (Rating A-8,M-6)

Fractal visionaries and enthusiasts:

Rational thinkers know that it is impossible to know the future. And science tells us that fortune telling is nothing more than taking the current situation, adding the logical and most likely future developments and claiming to have supernatural powers. Undoubtedly, this is how some fortune tellers operate, but how then can we explain the genuine prophet that appears in today's image, shining mystical enlightenment from heaven down to those on earth who are ready to receive it?

I have no answer. All I know is that today's image was created when I calculated the expression Z^(1.1)+C at a level PI turns up the hyperladder. The formula that I used, the new BranchCutGenHJ2, is the same as the previous BranchCutGenHJ formula but with a few parentheses removed. With the parentheses gone, the formula draws different and apparently more accurate branch cut images, all of which have X-axis symmetry at the PI level regardless of the exponent.

Today's parent fractal vaguely resembles a Mandelbrot set rotated 180 degrees with a broken 'East Valley' edge on the west and large period-2 bud on the east. Curiously, no higher order buds are in the parent fractal. Today's image is located in the arc of debris on the north side of the parent's main bay.

I named today's image "The Holy Prophet" when I felt the enlightenment streaming down from above. (Yeah, I know. It's all supposedly been shown to be brain chemistry.)

The art rates an 8, showing me in the fullest depths of my 'blue' period mood. The math rates only a 6, since we have been here often enough already.

The image calculates in about 6 minutes, just enough time to have a mystical revelation. But the revelation may be avoided and reason preserved by visiting the web sites.

Save time and rationality. 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>

Virtually perfect weather prevailed here at Fractal Central today, with photoshop blue skies decorated with cottonpuff clouds, light winds and a high temperature of 72F 22C. The fractal cats enjoyed the outside conditions from the inside, wishing they were back at old fractal central, where the old fractal cats enjoyed the outside from the outside.

The next FOTD will be posted in the proper time. Until whenever, take care, and we call terrorists cowards, but how cowardly is it for a person to strap a bomb on himself and blow himself to pieces for a cause he considers right?

Jim Muth jimmuth@earthlink.net

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FOTD -- September 16, 2014 (Rating A-8,M-6)

Fractal visionaries and enthusiasts:

At first glance it appears that the minibrot at the center of today's image is quadratic. At second glance however, things are seen to be not quite as they should be. The count of the surrounding elements is far from the expected 2,4,8... series, indicating that the minibrot is not quadratic, but of order 1.75.

The parent fractal is the slice through the hyperspiral at a level of 3 turns up the ladder. This parent resembles a squashed bug, with a smaller disconnected bug lying just northwest of the main body. Today's scene is located in a valley on the northeast shore line of this smaller bug.

I have named the image "Bogus Minibrot" because the central midget so closely resembles a quadratic one, yet is actually created by the expression Z^(1.75)+C.

The are rates an 8. I put about 20 minutes effort into the coloring. The math rating of a 6 lags behind because we have been here so often before.

The calculation time of 2-1/2 minutes is fair enough, and the remaining effort of running the parameter file may be eliminated by viewing the scene on one of the web sites.

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>

Near perfect weather prevailed here at Fractal Central today. The morning fog cleared off by 9am, leading to a day with tons of sun, enough clouds to make things interesting, and a temperature of 68F 20C. The fractal cats busied themselves watching the pigeons, while the fractal humans watched the work get done.

The next FOTD will be posted in a day or two or three. Until whenever this is, take care, and a few hundred years ago we survived without electricity. Now we would face imminent extinction if we ever lost the use of our hi-tech gadgets. Is this to be considered progress, and if it is, what is the goal?

Jim (Technology will save us.) Muth jimmuth@earthlink.net

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FOTD -- September 14, 2014 (Rating A-8,M-7)

Fractal visionaries and enthusiasts:

Today's image shows some of what happens when the expression Z^(1.75)+C is iterated in Mandelbrot mode a mere one-half level up the complex logarithmic hyperspiral. The parent fractal is little more than a shapeless blob somewhat resembling a squashed bug. Today's scene is located on a filament extending from the small period-5 bud on the southest side of the main bay.

The art rates an 8, mostly because of the unusual color scheme, which came about almost totally by accident. The effect of small terraces was achieved by rendering the scene with the outside set to 'tdis'.

The math rates a 7. I rated it because I was rather impressed with the near perfection of the central minibrot, which is quite well shaped, especially considering the chaotic shape of the parent fractal. In fact, the minibrot could almost pass for an everyday distorted quadratic minibrot.

The surprisingly undistorted shape of this minibrot inspired the name "Small But Impressive".

The calculation time of 2-1/4 minutes is well within reason, and the web sites are there to make the task even easier.

So join the trendy set. Check 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, the second Sunday in September, turned out pleasantly brisk here at Fractal Central, with a mix of sun and clouds, a bracing north wind and an afternoon high temperature of 64F 18C. At least the fractal cats must have thought so, since they checked the outside conditions from their window shelf almost constantly. The fractal humans meanwhile checked very little of anything.

The next FOTD will be posted in a day or two or three. Don't be surprised if it actually appears in one day. Until whenever, take care, and I can't wait to not buy the latest electronic gadget, though one of these days I might actually pick up one of those throw-away cell phones. As for now, how do I get along without a cell phone? . . . Actually quite well!

Jim Muth jimmuth@earthlink.net

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FOTD -- September 11, 2014 (Rating A-8,M-8)

Fractal visionaries and enthusiasts:

Today is the 13th anniversary of the 9-11 attack, so in honor of the grisly occasion I have found a fiery looking fractal. I named the image "Fiery Fingers" quite naturally.

The parent fractal is the Z^(1.00625)+C Mandeloid as it appears only one turn up the complex hyperspiral. This parent resembles the typical bullet that is so common in fractals in this range of exponents. In fact, the exponent of Z in today's image, 1.00625, is as close to unity as I have yet come.

In this ultra low range, very little chaos remains, but there is some, and the next FOTD will show a scene in this unlikely chaos. Today's scene shows no chaos, but rather a field of branch-cut discontinuities resembling a large fire.

The fiery effect is totally due to the coloring, which earns the image an artistic value of an 8. The math also earns an 8, due to the ridiculously low value of the exponent of Z, which produces a fractal anyway.

The calculation time is the big loser. The 9-1/3 minutes required to complete the image is far more than the scene is worth. But once again, the web sites rush to the rescue.

The official FOTD web site is now up and running. It may be accessed at:

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

The other sites are at:

<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 here at Fractal Central today was nondescript. The day brought some clouds, some sun, a few light sprinkles and a temperature of 81F 77C. It amounted to a day to soon be forgotten. The fractal cats forgot the day as soon as it began, with Lida and Jasmine chasing each other up and down the hallway most of the morning, while Nicholas watched the silly girls with curiosity.

The next FOTD, which will be very chaotic, will be posted in a day or two or three. Until the moment of revelation arrives, take care, and I want to be a version of me that exists in an alternate reality where total peace prevails.

Jim Muth jimmuth@earthlink.net

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FOTD -- September 08, 2014 (Rating A-7,M-8)

Fractal visionaries and enthusiasts:

Today's scene, which lies just beyond the range of perfect resolution, is named "Another First". The reason for the name is that the central minibrot is the first one I have stumbled upon that is so obviously divided into two separate parts.

The formula that created today's Mandeloid image is Z^(1.09)+C. I calculated this formula a mere 0.75 levels up the hyperspiral, which created a parent shaped like a bullet or torpedo diving to the southeast. This bullet shape is quite common in Mandeloids with an exponent of Z only a small amount greater than unity.

Today's scene lies in a large field of debris near the northwest limit of its parent. The image rates a 7 for its artistic value and an 8 for its math value. The calculation time of over 8 minutes is mercilessly slow, making a visit to the web sites the better choice.

Unfortunately, the official FOTD web site is temporarily down for repairs, but the finished image is or soon will be posted to the following three sites:

<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 temperature of 77F 25C here at Fractal Central today was near perfect, but too many clouds filled the sky to call the day absolutely perfect. The fractal cats agreed. Eleven-year-old all-black Nicholas watched curiously as one-year-old Jasmine and 4-month-old Lida chased each other up and down the fractal hallway until both ran out of steam and collapsed into exhausted heaps. The fractal humans, who must keep going even when the steam runs out, had a near normal but busy day.

The next FOTD will be posted whenever it is. (Yes, there will be more FOTD's. The current slowdown is due to renovations here at FC.) Until that cosmic moment of renewal arrives, take care, and keep abreast of the anachronistic FOTD. It's a real blast from the past!

Jim Muth jimmuth@earthlink.net

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FOTD -- September 04, 2014 (Rating A-7,M-8)

Fractal visionaries and enthusiasts:

If anyone is still checking the list, the fractals will continue coming, maybe not every day but often enough to make a quick check always worth the effort.

Today's image shows one of the more interesting minibrots I have yet found in a fractal with an exponent of Z between one and two. The exponent of Z in today's image is 1.77, and the complex logatithmic hyperspiral was sliced 2 turns from ground zero in the positive direction.

The parent fractal resembles a distorted Mandelbrot set rotated so that the large bud faces southeast, with the nascent East Valley on the northwest side of the main bay. Today's image with its central minibrot lies on the northeast shore line of this rudimentary valley.

I named the image "Island Universe" because the central minibrot, like all minibrots, contains an infinity of detail within its basin of attraction.

The art aspect rates a 7 since I could have done more work on the coloring. The math rates an 8 because of the unusual richness of the scene with its shoestrings around the minibrot.

The image calculates in 3 minutes -- about average for an everyday fractal. The image may also be enjoyed on the FOTD web sites.

The image is 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 sun and clouds with a temperature of 86F 30C made today an enjoyable one here at Fractal Central. The trio of fractal cats agreed. The 11-year-old cat Nicholas slept while the one-year-old kitten Jasmine and the four-and-one-half-month-old kitten Lida Rose kept each other busy playing.

The next FOTD will be posted in a day or so. Until whenever, take care, and when one side says 'We will stop bombing you when you stop terrorizing us' and the other side says 'We will stop terrorizing you when you stop bombing us', nothing gets done.

Jim Muth jimmuth@earthlink.net

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FOTD -- August 31, 2014 (Rating A-6,M-5)

Fractal visionaries and enthusiasts:

Today's fractal image is simply one end of a parent fractal, which is shaped like a bullet. (One outzoom will reveal the entire bullet.) I named the image "A Strange Scene", since it certainly is rather strange, but then, all fractals are strange in some ways. I could rate the themeless artistic aspect of today's image no higher than a 6, and the math, which has been used countless times before, rates only a mediocre 5.

The calculation time is an unusually slow 13 minutes, which definitely will lead to boredom and perhaps the mortal sin of rendering the image at thumbnail size to see if it is worth the effort of calculating at full size. Luckily, the web sites are there to eliminate such difficult decisions.

So eliminate tough decisions View 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>

A cloudy day with occasional showers and a temperature of 79F 26C passed quietly here at Fractal Central today. The fractal humans spent the day peacefully, while the three fractal cats had a relatively peaceful day also.

The next FOTD will be posted -- this much is for sure -- but who knows exactly when that magic moment will arrive. Until whenever, take care, and it appears to me that our western scientific paradigm has assumed the rigidity of a religious dogma, with its structure being held in place by the power of polarized language such as real/imaginary, exists/does not exist, objective/subjective, true/untrue, and so on. Oh well, as long as we are protected from the threat of belief in irrational superstition, I guess it doesn't matter.

Jim Muth jimmuth@earthlink.net

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