November 2003 - Fractint - mailman.xmission.com

FOTD 19-11-03 (Mandelbrot-07 [6])
by Jim Muth 19 Nov '03

19 Nov '03

FOTD -- November 19, 2003 (Rating 6) Fractal visionaries and enthusiasts: (Please direct any non-fractal comments to the philofractal list.) Too many years ago, when I was a curious young boy, (age 13 or so), I found my share of unbelievable claims in columns and books such as Ripley's 'Believe it or Not'. I remember one claim in particular -- that the botfly can fly 808 miles per hour, which is faster than sound. I wondered where the tiny fly found the energy. As it turned out, that particular claim was false, but many of the things that appeared in the column, such as the 'Pyramid of Hanoi', are true. At that time, as today, the newsstand shelves were filled with publications dealing with things such as lucky charms and Astrology. Being a reasonably intelligent young fellow, I felt proud that I was too smart to believe in such nonsense. Of course, when I grew older I found that things such as lucky charms and Astrology are only a mild form of nonsense compared to the super-nonsense (we call it non-intuitive stuff) seriously considered nowadays by physicists and to a lesser degree by cognitive scientists. The acceptance of the nonsensical is where science is inexorably leading us. If it is seen as superstitious to believe in the real but invisible worlds and the invisible spirit beings of occultism, why should it not be seen as even more superstitious to believe in the infinity of real but invisible parallel universes and the infinity of alternate versions of ourselves which are being seriously considered by physicists? And, is it truly so absurd to wonder if the scientific and occult views of other worlds are merely two different aspects of the same thing? The modern-day realization that the world is non-sensical is amazing, but the most amazing thing that has come about in the past quarter century is IMO the development of computers and the means to rapidly calculate fractals, which led to the discovery of their infinite richness. This is something which neither occultist nor scientist could have imagined back at the time I was reading 'Believe it or Not'. The best known and most basic of all fractals is the Mandelbrot set. And the best known area of the Mandelbrot set is perhaps Seahorse Valley. Today's FOTD takes us to the bud side of the north branch of the valley to view a midget that lies there. With its many seahorse-like twists and whorls, the image fairly reeks of 'Seahorse Valley', though it is still a rather pleasant scene to see. Because the area has been explored to the point where it is becoming boring, I could rate the image no higher than a 6, but what could one expect from an image that renders in 35 seconds? The alternate way of seeing the image is to download it from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> A raw, cloudy, damp, chilly day here at Fractal Central on Thursday kept the cats confined to the porch. The temperature of 50F 10C and occasional drizzle made their confinement a short one. After 20 minutes they were back indoors, asking for tuna. Today is starting milder but still cloudy. And rain is due. I expect sulky cats before the day ends. But before the sulking begins, I must finish the work. Until next time, take care, and watch out for that invisible dark matter and energy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-07 { ; time=0:00:35.37--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-0.7659\ 7715297031940/+0.09328995436879066/2.980249e+011/1\ /-177.5/-0.0303889026000893486 params=0/0 float=y maxiter=6000 inside=0 logmap=808 periodicity=10 colors=0500IAf6_r6Xv6VyE_sKajQddViYalSfoMnsFtv9zy1\ zz0zz0zz0zz0zz0zz0zz1zz4wz6tz9ozAlzDiyFfyShzcizpkz\ zkzvnzrozlrzgtzawzYxzSzzOzzIzzDzz7zz3zz0zz0zz3zzCz\ zLxvTtrcnlligudcz__zVVzXSzXQvXPrXOmXLgXJcXI_XGTYDP\ YCJYAFY9Al64f40e30b14aJDX`MFpOIoPKmQLlQOjSQiTRgTUf\ VVdXXcX_aYa`_b__d_aicdnggrliwplzuozypzzrzxrrssiosa\ juTfuKavBYv5Tv5Ps5Tp6YmCalIfiOjfUoc_saev`Xx_QyYIzX\ BzV5zT5zX5xY8r_El`KfaO`dUVf_PgeJikDjo7olGriOufVseS\ sdQrbPrbMpaLp_Jp_ImUQjQ_gKfdFoa9x`5zc5vd5of5gi5_j5\ Sl5Lo5Cp54r50v5Ay5Oz5`z5mz5zz5zzBJzCMzEOzFPzFQzHSz\ ITzIVzKXzL_zL`zNazOczOdzQfzRgzRiuX`oaSgfLakCXo4Yr3\ Yt3Yu3Yw3_z3_z3_z3_z3`z3`z3`z3`z3az6cz7dz9fzCgzDiz\ FjzGlzJmzLozMpzOmzLjzJgzGfzFizDlzCmzApz9sz7uz6xz4y\ z3zz1zz0zz0zz0zz0zz4zzCzzIzzPzzVzzazzizzozzvzzzizs\ Qzj6za0zT0za0zi0zp1zy6zz9zzDzzGzpLzdOzTMzQLzPLzMJz\ LJzIIzGczmfzjjzimzfrzcuza } END PARAMETER FILE=========================================

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FOTD 18-11-03 (Mandelbrot-06 [6])
by Jim Muth 18 Nov '03

18 Nov '03

FOTD -- November 18, 2003 (Rating 6) Fractal visionaries and enthusiasts: I just heard an item on the radio, which for some reason strikes me as unbearably funny. The enlightened city council of our fair city, which recently ordered the police commissioner to crack down on crime but stop harassing the criminals, has just suggested an ordinance making it illegal for homeless people (in non-PC language, bums) to ask for a handout unless they sing or dance, or perform some other form of entertainment. The penalty would be a 50-dollar fine or a month in jail. To help the homeless in their plight, I suggest we give every homeless person a lap-top computer and a copy of Fractint, so they can entertain the gathered crowd with fractals. Nothing could be more entertaining. Besides, homeless people do not have 50 dollars to pay the fine, and, with winter coming, might actually appreciate a month in a warm jail. (This situation is not politics; it is comedy!) While I'm trying to figure that one out, we have another fractal to discuss. Today's scene is located on a filament extending out from the large midget at -1.75. It is located just beyond the point where the filament changes from a jagged, totally chaotic line to a rather straight line with occasional zigzags. At this point on the filament, there are still occasional areas of chaos, but they are disconnected. This characteristic is reflected quite well in today's image, and is made even more clear by half an outzoom. Once again, I can find nothing in the image to earn it a rating over a 6, which equals just a little above average. And there is no mistake in the render time -- the image actually renders in 6 seconds. But there are those who prefer their fractals pre-rendered. These fractalists can find the completed GIF image ready for download on the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Monday started foggy here at Fractal Central. The fractal cats watched the outside conditions carefully, but did not ask to go out until the fog burned off shortly before noon. When they did go out, the sun and temperature of 61F 16C made their afternoon enjoyable. Today is starting cloudy, with rain threatening by the afternoon. The cats might not like this. I have a bit of work to do before I can dive into the Mandelbrot set in search of tomorrow's FOTD, and have a clear conscience. Until that cosmic moment arrives, take care, and gosh, how the old CD that came with the second edition of "Fractal Creations" brings back memories! Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-06 { ; time=0:00:06.26--SF5 on a P200 reset=2002 type=mandel center-mag=-1.7778134544542\ 82/+0.0075774298300826/1.079544e+012/1/-121.11035/\ 0 params=0/0 float=y maxiter=600 passes=1 bailout=9 inside=0 logmap=122 periodicity=10 mathtolerance=/1 colors=0002N`3QY4SV5US6WP7ZM8aJ9fHJkJTnLgpMssOzzPz\ nWmYb`OiMFoOFgPF_RFTSFLUFDVF6SD5PB5N94K74I53F33D13\ BAAAJH9SN8`c7nm3Vg0Go8LlGPjOThWXfb`daYb`V`_TZZQXYN\ VXLTWIRVGPXFTYFWZFZ_Fa`FeaFhbFkcFnXeAZ_Q`UdYXeWZfU\ agSchPeiNhjLjkJlkIklHkmHknGkoFjpFjqEjrEjsDltDnuCou\ CqvCrvPlx`fyl`zgbqcch_e_WfSShJOiAKj2Pd8U_DZVIcQNhL\ SmGX`L5_NH_OSZPbZQmZRxYStYTpXUlXUhXVdWW`WXXWXUPePI\ mKCuGVvMHl2Nf6S`AXWEaQIgKMlFQq9Uv4Yj7UZAQNDMBFJLHG\ UIEbJBkK9WEPG8d12shJl_OfSTaJYWBbRCXQCSPDMODHOHLLKO\ INRGQVDTYBW`8Zc6abCcaHf`Nh_SkZYmYboYgjzhfziazjYzkU\ zlPzmLznHzoJzkKzgMzdNz`OzXQzURzQSzNPzLNzJKzHIzFFzD\ DzCzzcHz8TzCSzdAzN8zH5zB3z55zC7zJ_zBlzQxzcnzLdz2gz\ fez`dzVbzPazJLz4Pz6Sz8VzAYzC`zEyzpvzkszfpzbnzYkzTh\ zPezK_zw`zoazhazabzUczNZzv5znEzeNzXWzOqzalzUgzNwzu\ szlozdkzWgzOPzRXzLez4dz7dzAczDizWgzQezL3zcGzWSzO2z\ tFzfSzTXz5Yz7lz7`zFPzMDzU } END PARAMETER FILE=========================================

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FOTD 17-11-03 (Mandelbrot-05 [6])
by Jim Muth 17 Nov '03

17 Nov '03

FOTD -- November 17, 2003 (Rating 6) Fractal visionaries and enthusiasts: When I began my series of Mandelbrot images 6 days ago, I said that I would use arbitrary precision math as little as possible. I did not say that I would not use it at all. Today, I inten- tionally enter the range of arbitrary math to demonstrate a point. With today's image we are in the dark and mysterious world of the depths of the Mandelbrot set, a world where tiny things are exaggerated. In these remote depths, one of the things that becomes exaggerated is the size of the basin of attraction surrounding the midgets. With a magnitude of 7x10^23, today's scene lies in the shallowest range of arbitrary precision math, but even at this mildly-extreme depth, the basin of attraction around the midget in the image would be about 100 meters across if displayed at the same scale as the image on the screen. The scene lies in the basin of attraction of a larger midget, which lies in the basin of a still larger midget, etc. I have forgotten the exact count of midgets, but repeated outzooms will end up in a filament extending from a midget on the main stem of the M-set, a little to the east of the large midget at -1.75. A quick glance at today's scene will reveal that the number of elements surrounding the midget resets itself several times as the midget is neared. This resetting is typical of midgets that are part of the field of attraction of larger midgets. It will also become apparent that the elements around the midget are arranged in the form of circles. This is also typical of deep midgets. The rating of a 6 appears justified. The render time of 1-1/4 hours is harder to justify, but justice may be found by download- ing the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather was totally bland here at Fractal Central on Sunday, with a partly cloudy sky and a temperature of an average 55F 13C. To make things even more average, in the evening, a few drops of rain fell. The cats had an average day, doing average things. Today is turning milder; the work is under control; all is well. The next wonderful fractal will appear in 24 hours. Until next time, take care, and it will all work out in the end. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-05 { ; time=1:17:31.32--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-1.6341597430013676141250535918/0.00612\ 498599892884329038326681/7.325171e+023/1/132.5/3.8\ 8578058618804789e-016 params=0/0 float=y maxiter=3600 bailout=16 inside=0 logmap=770 symmetry=none periodicity=10 sound=off colors=000FETAGTAHSAGSAFRAFRAEQADPADOACNACMBBLCAJD\ AHE9FEP0IU0LZUPcQShMVmJZhLadMdbOgaPj_RmZSpXUsWVnV`\ iUeeTj`SpWRuSQzRStRTnRUhRVbQXYQYSQZMQ_GQ`BLZAGXABV\ 96T91S94RB7QDAPFCPHFOJINLLNNNMPQLRTLTWKVYJX`JZcI`f\ HbhHdfEWdBOc9Gf6Ti3el1rfAfaJWXSLS`AXbC`cEadGbdIbeK\ ceLceNdfPdfQefSfgUfgVghXghZhh_hialicoidqjarjZwkWxk\ TzkQphPmfOjdNhaMe_LbYK_VJYTJVRISOHPMGNKFKHEHFDFDDC\ SAAe78s4Bq8EpCGnGJmJLkNOjRRhVTgYWeaYde`bibalbam_Zk\ XWiUThSQfPNeMLcJIaHF`ECZB9Y86W64VG4PP4JV3G`2Ef2Cl1\ Aq18tV9wwAuvJsuRqtZosgmrokcwB2DNFBYS9hc7j_HkWRlT_f\ MYaFWcFZmFawFdzFgwFjmJccMYaPR_SLZVEXYzW`zRVzNPBJJF\ FDJB7N72RIJ`T_jbrtR00VC3ZO6b_9fkCiwEctJYrNToSNmWIk\ _T3XXBY`IZdP_hW`aTaWRaPPbJNbCLc6Lc0Oc7R_DUWKXSQ_PX\ bLbeHhhEekGcnH`qIZtKWwLUzMOzKIzRCzX6zb1zh8zjFzkMzl\ SzmZznezolzprzqdzoRzmWzd`zWezNizEfzFdzGazG_zHXzIVz\ ISzJQzzNzzLzzIzzGzzEzzBzz } END PARAMETER FILE=========================================

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FOTD 16-11-03 (Mandelbrot-04 [5])
by Jim Muth 16 Nov '03

16 Nov '03

FOTD -- November 16, 2003 (Rating 5) Fractal visionaries and enthusiasts: There was no FOTD on Saturday, the 15th of November. This was because I found a small pile of unfinished graphic work, and wanted to get it out of the way before the week ended. As I learned recently when I fell a week behind in the work, small tasks left unfinished soon pile up, and merge into a large task that takes several weeks to clear away. Rather than start falling behind again, I decided to forego the daily FOTD and clear away the work. Now I can search for fractals without the feeling of guilt. I may occasionally miss other FOTD's in the future. If so, do not feel concern. I am not growing tired of doing the FOTD; I am merely tending to first things first. With today's fractal comes good news and bad news. The good news is that the image takes only 15 seconds to render. The bad news is that the image rates only an average 5. In search of the image, I went to a midget on a filament extending from a sub-bud on the northwest shore of the large period-3 north bud of the Mandelbrot set. I zoomed in on a point of the filament just beyond the end of the main stem of the midget. To no one's surprise, I found a midget there. Since the location of the second midget is just beyond the tip of the stem of a larger midget, the second midget, which appears in today's image, is surrounded by not-quite-connected sword- like elements quite accurately mirroring the overall location of the scene. (Four much larger 'swords' appear out beyond the borders of the screen, and can be seen by outzooming and turning off the logmap.) If I were giving the image a proper title rather than a catalog number, the name would be something such as "Sword Play". The pre-rendered GIF image is available on Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and on Scott's site at: But even a high-speed download cannot be faster than rendering today's image from the parameter file. <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The winds remained brisk Friday here at Fractal Central, but slacked enough in the afternoon for the fractal cats to venture into the yard. Tippy even managed to climb a few feet into a tree and sit there on the lowest branch, enjoying the sun and temperature of 46F 8C, and remembering the days when he could dash 20 feet up the trunk in a single bound. Thomas watched the action with disinterest. Saturday was sunny and warmer, with almost no wind, and a temper- ature of 55F 13C that made outdoor conditions quite pleasant for the duo. They spent several hours in the holly thicket, and needed to be coaxed indoors when the day ended. Today looks to be a not-so-sunny repeat. I'll try to take it reasonably easy today. If I try hard enough, I might even succeed. Until next FOTD and next trip into the infinite depths of the Mandelbrot set, take care, and where oh where did it all come from? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-04 { ; time=0:00:15.60--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-0.18985803257882940/+0.852822417465450\ 00/2.285195e+012/1/-102.5/0.00326419793650863793 params=0/0 float=y maxiter=1600 bailout=16 inside=0 logmap=332 periodicity=10 colors=000YuZYuaXueXuhWulWuoXtnXsnYrmYrmZqlZpl_ok_\ ok`nj`mj`mialiakhbjhbjgcigchfdgfdgeefeeedeedfdcfcc\ gbbgbbhaah`ai_`i_`jZ_jY_jYZkXZkWYlVYlVXlUXkTWkSWjS\ VjRViQUhQUgQUfRTeSTeTTeUSeVSeWSeXReYReZReZRe_Qf`Qg\ aQhbPicPjdPjeOkfOkfOlgOlhNmiNmjNnkMnlMomMonLonLooL\ opLoqKorKosKotJouJovJrwLpxKoxJmzJlzIkzHiyHhxGgwFeu\ FdsEcqDaoD`mC_kBYiBXgAWe9Uc9Ta8S_7QY7PX6OV5MU5LT4K\ R3IQ3HP2GO2EP5DP7CP9BPCAPE8QG7QJ6QL5QN2OJ3PM4QP5RS\ 6RV7SY8T`8Tc9UfAViBVlCWoDXrEZuDXuCWuCVuBUuBSuARu9U\ u9Zu8cu8hu7mz6mz6mz5mz5mz4mz3mz3mz2mz2mz1rz1wz2zz2\ zz2zz2zz2zz2zz3zz3zz3zz3zz3Gj3Hi3Hh4Ih4Jg4Jf4Ke4Ld\ 4Lc4Mb5Na5O`5O_5PZ5QY5QX5RW6SW6SV6oU6qT6rS6sR6sQ7s\ P7sO7rN7pM7nL7lK8iJ7fK7eK7dL7cL6bM6bM6cN6dN5fO5gO5\ hP5jP4kQ4kQ4kQ4lR3mRAnSFoSKrTPuTUwUZyUczVhzVmzWrzW\ wzWzzVzzVzzVzzUzzUzzUzzTzzTzzTzzSzzSzzSzzSzzRzzRzz\ RzzQzzQzzQzzPzzKzzOzzRzzV } END PARAMETER FILE=========================================

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No FOTD for 15-11-03
by Jim Muth 15 Nov '03

15 Nov '03

Fractal fans: Due to unexpected work, there will be no FOTD for November 15. The FOTD for Nov. 16 will appear on schedule. There is no problem. I merely want to avoid another work backlog. Jim M.

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FOTD 14-11-03 (Mandelbrot-03 [6])
by Jim Muth 14 Nov '03

14 Nov '03

FOTD -- November 14, 2003 (Rating 6) Fractal visionaries and enthusiasts: I realize that today's FOTD is late. During the wind-storm on Thursday we had another of our traditional power failures, which, though brief, was just long enough to put me behind in the graphics work. Wanting to avoid another work back-up situation, I spent the first part of today catching up on the work that should have been finished yesterday. Fortunately, when the work was caught up, I had good luck in my fractal quest. That quest took me out the negative stem of the Mandelbrot set to the East Valley of the large midget at -1.75, where I found a world quite similar to the East Valley area of the M-set itself, yet strangely different. The scene I found there reminds me of a display of caladium leaves, and I could easily have named it "Caladium", but I decided to stick with the bland but orderly consecutive 'Mbrot**' numbering system. The rating of 6 might be a bit conservative, but it's hard to give a fractal that has been found almost automatically a rating higher than 'a little above average'. The render time of 4-1/2 minutes is fast enough to make running the parameter file practical, and slow enough to make downloading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> more convenient. Tuesday was partly cloudy with a temperature of 46F 8C, but the wind gusted over 60mph (near 100kph) during most of the after- noon. The constant roar kept the intrepid duo very skittish, removing all thoughts of going outside from their heads. They passed the day on their shelves by the windows, watching the packs of empty trash cans clattering down the street. Today has been a bit on the busy side, but it is nothing that I cannot finish by later this evening. And then it's back to the Mandelbrot set to find tomorrow's FOTD. Until tomorrow, take care, and there will always be fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-03 { ; time=0:04:39.13--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-1.74999488467703500/-0.000000136207487\ 40/1.425142e+011/1/-100/-0.00196521785314480307 params=0/0 float=y maxiter=100000 bailout=16 inside=0 periodicity=10 colors=000ksalsdpsiqtlstpwtsxwwzwzzwzzxzzxzzxzzszz\ nzzizzdzx_zwVzsQxqLtpGslBqk6ni1lf0id0gd0gb0fb0fa0f\ a0d_0d_0d_0bY0bY0bX0bX0aX0aV0aV0_T0_T0_T0YR0YR0YQ0\ YQ0XQ0XO0XO0VN0VN0VL0VL0TL0TJ0TJ0RI0RI0RI0QG0QG0QE\ 0QE0OE0OD0OD0NB0NB0N90OB0NB0NB0NB0ND0ND0LD0LD0LE0L\ E0LE0LE0JG0JG0JG0JG0JI0JI0II0II0IJ0IJ0IJ0IJ0GL0GL0\ GL1GL1GL1GN2IN4JN6JN8LN9LNBNNDNNEOOGOOIQOJQOLRONRO\ OTOQVORVOTXQVXQXYQYYQ__Q__QaaQbaQdbRfbRgdRidRkfRlg\ RngRpiRqiRskTtkTwlTxlTznTznTzpTzpTzqQzsTzqVzqXzqYw\ q_sqapqblqdiqffqgdqiapkYplVpnRppOpqLpsIptEpwBpw8nx\ 9pxBpxBpxDqxEqxEqxGszIszIszJtzJtzLtzNwzNwzOwzQxzQx\ zRxzRxzTzzVzzVzzXzzYzzZzz`zzbzzbzzczzdzzezzfzzgzzh\ zzizzizzjzzjzykxxjztktpkqilkdkf_j_ViVOhOJgJEfD9e82\ d10d00d00d00d00d00d00d00d00d01d02d06d08d09c0Dc0Ec0\ Gb0Jb0Lb0Nb0Qb0Rb0Tb0Xb0Ya0aa0ba0da0ga0ia0ka0na0bi\ ObkQblQblQbnQbpQbpQfqVgqY } END PARAMETER FILE=========================================

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FOTD 13-11-03 (Mandelbrot-02 [6])
by Jim Muth 13 Nov '03

13 Nov '03

FOTD -- November 13, 2003 (Rating 6) Fractal visionaries and enthusiasts: Today's trip into the Mandelbrot set takes us to East Valley, which is sometimes known as Elephant Valley. The elephants do not appear in today's image however. Instead, the place we visit is the north shore of the valley and the 'star' at the tip of a filament extending from a bud with a periodicity of 24. The scene of today's image lies on a filament of the 'star'. The midget at the center of the image is surrounded by 8 groups of 24 radiating filaments, making 192 filaments in all that lead beyond the frame. This multitude of filaments blends the otherwise jagged iteration bands into a smooth color gradient that is not at all justified by the palette color itself. Naming the image was no problem. Since it is the second in the series of scenes in the Mandelbrot set, I named it "Mandelbrot- 02". Rating it was an equally simple task. The picture is just a little above average -- a perfect candidate for a rating of 6. I avoided the use of arbitrary precision math, thereby enabling the image to render in 3 minutes, at least on my antiquated 200mhz 80586 (P-200) unit. Since the magnitude of the image is close to the range where arbitrary precision math kicks in, I included the mathtolerance=/1 command in the parameter file. This prevents the program from shifting to arbitrary precision math and avoids unpleasant surprises, such as two-hour render times, when the image is calculated at resolutions higher than 640x480. All rendering problems may be avoided however by downloading the finished GIF image from either Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Heavy clouds and rain kept the fractal cats indoors all day Wednesday. The temperature reached 55F 13C, but the duo had no chance to test it. This morning is starting with lots of clouds but some sun. The winds are high however, and this will again put a damper on the cats' outdoor activity. Fractal cats dislike strong winds. I have about 4 hours work to finish before I will have a chance to look into the M-set. What I find there will be tomorrow's FOTD. Until then, take care, and be happy in your fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-02 { ; time=0:03:01.58--SF5 on a P200 reset=2002 type=mandel passes=1 mathtolerance=/1 center-mag=+0.26649584743215790/-0.003450374208644\ 80/6.476097e+012/1/-69.0025124098784488/-0.0022269\ 2079104778312 params=0/0 float=y maxiter=18000 inside=0 logmap=-3400 periodicity=10 colors=000qcUmcUmcUmcUmcUucUmcUmcUmcUucUocUpcUqdTr\ aSseQrcPpaNn`MmZLkXJiWIgUGeSFdREbPC`NBZL9XK8WI7UG5\ SF4QD2OB1NA0P93R86S89U7CV6EX6HY5K_5N`4Pb3Sc3Ve2Yf2\ _g6`hAaiEajIbkLblPcmTcnXdo`dpceqgerkfsoftsguvgspaq\ gXoURmKMk0Gi0BkKDlPEmUFoZGpcHqhJsmKtrLuwMzzNzzOzzO\ wxOuvPstPrsPqrQqqQppQpoRonRpmRqkSrjSsiStgTweTzbTz_\ U`XU_UUPMVZUVZVVXZXXaYXdZXe_Xf`XhbVicTjdRkePlfQkdR\ kcRkbSk`Sk_TkZTkXUkWUkVVlTVlSWlRWmSXmTXmUYmWYmXZmY\ ZmZ_m__m`YmaXmbWmcUmdUmeVmfWmgXmhYmiZmj_mk`mlammbm\ ncmodmpemqfmrgmshmtimujmvkmwlmxmmymmzmmzmmzmmzmmzm\ mzmmzmmzmmzmnzmnzmnzmnzmozmozmozmozmpzmpzmpzmpzmqz\ mqzmqzmqzmrzmrzmrzmrzmszmszmszmszmtzmtzmuzmuzmuzmv\ zmvzlvzgvzbwyYwxTwwOwvJwuEwt9wsBznDzjFzfHzbJzZKzXL\ zVMzTMzRNzQOzOOzMPzKQzIRzHRzFSzDTzBTzAczBbzDazF`zG\ _zI_zJZzLYzMXzOWzQWzRVzTUzUTzWTzXUzVUzUUzTUzSUzRUz\ QUzPUzOUzNUzMUzLNz_mzUmzU } END PARAMETER FILE=========================================

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FOTD 12-11-03 (Mandelbrot-01 [7])
by Jim Muth 12 Nov '03

12 Nov '03

FOTD -- November 12, 2003 (Rating 7) Fractal visionaries and enthusiasts: The Mandelbrot set was the first fractal I explored those many years ago when I found my first fractal program. (A blow-up of the large midget on the negative stem was the first zoom I ever made.) In all the years that have passed since that day, I have yet to find a fractal with more richness and variety of detail. In a way, the Mandelbrot set is the ultimate fractal, the fractal to which all others must be compared. In order to do justice to this king of all fractals, I have decided to devote the second half of November to the Mandelbrot set. To make things more interesting, more convenient, and more challenging, I will limit the magnitude of the images to the range of conventional math. This will avoid the render time of hours that often results when arbitrary precision math is used. And I will try to limit myself to the equal-iteration-bands method of coloring. I will however explore the high-iteration areas that were beyond the reach of the 8mhz machine I was using when I first ventured into the M-set. Today's image, the first of the Mandelbrot series, is named "Mandelbrot-01". This is more of a catalog number than a name. The succeeding images will be named -02, -03 and so on. I have rated the image at a 7. Despite being a scene in such a well- known fractal, it equals many of my more exotic MandelbrotMix4 images, and easily earns its rating. The midget in the image lies rather deep in a spiral in the bud side of the east branch of North Valley of the M-set. This valley has a more descriptive name, which I cannot remember at the moment. There is not much to be said about today's FOTD. The image speaks for itself. (Though not in words!) Despite the high iteration count of the image elements -- the logmap is 7740 and the maxiter is 45,000 -- the parameter file renders in a zippy 6-1/2 minutes on my tired old machine with the balky fan. The fastest machines will render it in only a minute or two. The rendering can be bypassed completely by letting Paul and Scott do the rendering and picking up the completed image from one of the following web sites: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Tuesday brought cloudy skies and showers to Fractal Central, and disappointment to the dynamic duo. The temperature of 57F 14C was mild enough, but the wet grass dampened the paws of the cats and their spirits as well. It took a feather on a string to get them out of their lethargy. Unfortunately, today promises to be even wetter. I hope the cats' spirits hold out. I have a bit of work to accomplish before returning to the Mandelbrot set. And the sooner I get started, the sooner I'll finish. Until 24 hours have passed, take care, and become one with the Mandy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-01 { ; time=0:06:21.73--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-0.1125\ 432147408424/+0.6501357215415452/1.112385e+010/1/\ -45/-4.45623187553881306e-005 params=0/0 float=y maxiter=45000 inside=0 logmap=7740 periodicity=10 colors=000m_npXqtUtwSwuRtsQqrPnpOloOimNfkMdjLahKZg\ KXhMWiOWjQWkRWlTWmVWnXWoYVp_VqaVrcVsdVtfVuhVviVVki\ 3lw5ku6ks8kq9koBkmCkkEkiFkgHjeIjcKjaLj_NjYOjWQjURj\ TWnW_rZdrahqdcnVZjLSfOMhRFjU9lWChYFe_HbaK_cMXePUgR\ RiUOkWLmZIo`FqcCse9uh6wj3xg5ue6sc7qa8oZAmXBkVCiTDf\ REdOGbMH`KIZIJXGKVJQ_LVdN_hLZfKZdIYbHYaFX_EXYDXXKU\ UKUUKUUKUUKUUKUUMUUGUUBUU5UU0VUcTmaPm`Lm_HmZDmXBgV\ AbU9YS8TQ6OP5JN4EM39N58N67N77O86O96OA5PB4PC4PD3QE3\ QF2QG1RH1RI0RJ0PM1NO1MQ1KS1JU2HW2GZ2E`2Db3Bd3Af38h\ 37j39l6An9KpCUsFcuImxLrzNmuRhpVcnPUlJRiEXh8bh3di4e\ i4fj5hj5ik6jk6ll7ml7nm8pm8qn9rn9toAuoAvoAugDt`GtUI\ sMLsFNp8Qn1Sj3Vf4Xb5Z`6UXAKZFK`KUbPc`UmZZwXczVhzTm\ zRrzNrzJrzFrzBwzDrzEmzFhzGczIG0JSXKT`LUcNVfOWiPXlQ\ YoSZiT_cU`ZVaTWbNXcIZdO`eUbf_djefkj6l8BmBGnEKoHPpK\ UqNYrPbsSgtVkuYpv`uwcyxezybzz_zzXzzVzzSzzPzzSzzSzz\ SzzSzzSzzWzzZzzazzdzzgzzk } END PARAMETER FILE=========================================

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[Fractint] Zoom into Lee Skinner's Dumbell.gif from the Fractal Creations 2nd Ed CD
by Hal Lane 11 Nov '03

11 Nov '03

######################################################################## This is a zoom into Lee Skinner's Dumbell.gif from the Fractal Creations 2nd Ed CD. Thanks again for the copy of the CD, Tim! The color map is from the image "Leather Gem" by Damascena Korwen, an entry in the Fractal-Art 1998 Contest: http://www.fractalus.com/contest98/entries/09-013.htm When I rotated the color map approximately 96 steps at a time I could watch the 'medallions' ('eyes' with spirals in them) be highlighted in the ring of 16 'eyes', then 32, 64, 128, 256, 512, and then 1024 'eyes' in a 1024 x 768 version of the image. I like to trace this 'period doubling' of features as they approach the Mandelbrot set. Btw, does anyone know if it has been determined if these miniature Mandelbrot Sets are exact copies of the full size Mandelbrot Set? - Hal Lane ######################### # hallane(a)earthlink.net # ######################### =================== FRACTINT PAR ===================== Medallion_Weave { ; Zoom by Hal Lane into Lee Skinner's Dumbell.gif - ; from the Fractal Creations 2nd Ed CD. ; Color map from "Leather Gem" by Damascena Korwin - ; an entry in the Fractal Art 98 contest. ; Version 2002 Patchlevel 5 reset=1720 type=mandel passes=1 center-mag=+0.25372693451716730/+0.00036640736338332/4.538746e+011/1/-37\ .5009262932441132/0.000734303369271584183 params=0/0 float=y maxiter=100000 inside=0 sound=off colors=000IbLJdMKfNLhM<5>bmDenBhoA<3>ts3wt1sr2<5>Zf8Vd9SbA<3>DVF<4>CPCCN\ BCMA<2>BI9BH8BH8<3>AE79D6DE6<3>UI9YJAaLBeMCgODjQF<9>tgGuiGvjG<2>ypGzrFzr\ K<3>yufxukxvqwww<3>rhh`F0`F0<5>UA0T90S80R80Q70P60<3>L30K30J20I10I10<16>U\ B2UB2VC2<3>YE3<3>Q82O61M41<3>Q71R81S91fM5<3>iO5jP5kQ6<9>UB3S92Q82<3>I109\ 31A00<3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0UC0O80H40<2>A4773A73C<3>56K4\ 7M48O39Q2AS<8>9QaASbATc<3>E`hFbiGdi<3>JklKmmJkj<7>CURBSOAQM<3>6GB5E86G9<\ 12>H`K } =================== FRACTINT PAR ===================== ######################################################################## --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.537 / Virus Database: 332 - Release Date: 11/6/03

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FOTD 11-11-03 (Triangles of Doom [7])
by Jim Muth 11 Nov '03

11 Nov '03

FOTD -- November 11, 2003 (Rating 7) Fractal visionaries and enthusiasts: I have named today's image "Triangles of Doom". I can give no logical reason for choosing such a name -- the triangular holes in the image certainly appear harmless enough -- I simply felt like naming the image that way. And there certainly are enough junky old sci-fi horror movies with similar names. The most likely reason for the name could be the doom the triangles would bring if the fractalist who found them were to become obsessed with them, and stare at them until he starved. The rating of an above-average 7 was earned by the coloring, most notably the effect of the translucent foreground features being illuminated from behind. This effect is achieved by filling the holes with the maximum value of blue, and varying the red and green only slightly from the maximum. This tricks the mind into thinking that it is actually viewing the sky through holes in trees. The parent fractal of today's image appears as a scattering of small Mandeloids and an assortment of other, more oddly shaped holes. The most prominent Mandeloid has both a negative stem that points northwest and a positive stem that points southeast. The positive stem springs from East Valley and terminates in an irregularly shaped hole that passes through the neck of many smaller hourglass-shaped holes on the way. Today's scene is found close to the point where this spurious stem terminates. When colored in my usual inside=0 outside=iter manner, today's scene is dull and flat. But rendering the image with the inside=bof61 and the outside=tdis, results in the interesting terraced effect seen in today's image. I am not an absolute purist when it comes to fractals, but when I work with them, I try to keep the simplicity that existed when I first discovered them some 16 odd years ago, and had only the Mandelbrot set to explore. Maybe one of these months I'll devote a month to scenes in the M-set, just to show that it is nowhere near being exhausted. The render time of 2-1/2 minutes is reasonably short. And this time can even be cut a bit more by downloading the completed GIF image from one of the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Monday featured nothing but blue skies and sun here at Fractal Central. The temperature of 50F 10C was a bit on the chilly side, but the fractal cats ignored the chill as they explored the holly thicket at the bottom of the yard. The day ended with happy cats sleeping soundly (Thomas snores). Today is starting sunny and promising to be warmer. The warmth is due to be temp- ered this afternoon however by clouds and perhaps a few showers. We'll just have to wait and see how it goes with the dynamic fractal feline duo. As for me, I have a bit of work to accomplish before the fractals can be found. Until next FOTD, take care, and don't take life too seriously. It won't last forever. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Triangles_of_Doom { ; time=0:02:23.90--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.72147391460799470/+2.077828375552933\ 00/16687.84/1/25/6.03698577933409197e-009 params=-1.5/-1/0.15/5/0/0 float=y maxiter=1250 inside=bof61 outside=tdis periodicity=10 colors=000Kt_MubOudQufSvhUvjWvuYwn_wpawrcwtcvrcuqc\ upctocsncsubnlajzafj`bi_Zh_Vgb_hedhhihknvrsznrzjre\ frcbq`ZqYVqWRpTNpQJpOFoLBoI4qDAtGAmJDiMGePIaRK`QL`\ PM`ON`NPXMQTLRSKSMJULIVKHWJGXIFZHE_FD`ECaDBcCAdB9e\ A8f97gC6gF6hH6hK6iM5iP5jR5lU5mX5oZ4pa4rc4rf4rh4ni6\ li8iiAgiCdiEbjG_jIYjKVjMTjOQjQOkSMkUKkWIkYGk_ElaCl\ cAle8lg6li4ljHkoUksTgrTdrS`rSYqRUqRRqRNpQKpQGpPDoP\ 9oP6oQ8nR9mSAmTBlTDkUEkVFjWGiXIiXJhYKgZLg_Nf`Oe`Pe\ aQdbSccTcdUbdVaeXafY`gZ_g__fRSeILd9Ed17f79gCAhHBiN\ CjSEkXFlbGmhHnmHnlIljJjhKhfKfdLcaMa_M_YNYWOWUOTRPR\ PQPNQNLRLJSHERJHSLJSNLTPOTRQUTSUVUVXXVZZW``WbbWcaX\ c`Xd_XdZXeYXeYXfXXfWYgVYgUYhUYhTYiSYiRYjQZjPZkPZkO\ ZlNZlMZmLZmLZeQVZVRR_NKdJCiF5mB6nF7nJ8nN9nRAnVAnYB\ naCneDniEnmEnnEnoGlnIkmJjkLijMghOfgPeeRddSbbUaaV`_\ X_ZYYX_XW`WUbVTcTReSQfROhQNmPGiPMePRbPWZP`VPeSPjOP\ oKPtHPyJRuKSqLTmMViVjUPoX } 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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