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FOTD 29-11-02 (Venus Fly-Trap [7])
by Jim Muth 29 Nov '02

29 Nov '02

FOTD -- November 29, 2002 (Rating 7) Fractal visionaries and enthusiasts: The parent of today's image rather closely resembles a rocket flying east. The rocket is a large one, requiring several outzooms to shrink it enough so that it fits onto the screen. Today's midget is located near the tip of the southern fin of the rocket, in an area on the verge of fractal evaporation. I named the picture "Venus Fly-Trap". I gave it this name when the eight prominent elements surrounding the midget reminded me of the fly-catching leaves of a Venus fly-trap plant that I once kept as a kind of floral 'pet', feeding it assorted insects until it could eat no more. No flies are visible in today's image, though I am certain they are there, hiding in the lush growth of fractal mayhem. The iterated expression behind the image adds 0.7 parts of Z^(1.25) to 0.45 parts of Z^(-1.25), then adds 1/C instead of C. The escape radius has been reduced from the M-Mix4 default of 100 to 40, though I doubt that the reduction makes more than a tiny difference in the resulting fractal. The rating of 7 continues my current spate of above-average FOTD images. But I wonder how long the above-average images will continue, considering that in two days I will begin a month-long special of odd Julibrot slices and 4-D chatter. The 9-minute render time is a bit slow, but the image is worth the time spent. And as always, the pre-rendered image file is, or soon will be, available for download from Paul's site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> With a temperature of 36F 2C, the weather Thursday here at Fractal Central was quite chilly, but ample sun and lighter winds gave the dynamic cats a reasonably comfortable half-hour in the yard. In the evening a treat of left-over turkey made them forget any discomfort they might have experienced. This morning I find myself with a backlog of work, so I guess it's time to get busy. The next FOTD will appear in 24 hours. Until then, take care, and enjoy today's fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Venus_Fly-Trap { ; time=0:09:04.80--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.92194009192680730/-1.760409673682221\ 00/1.149573e+008/1/62.5/-3.4353342606152637e-006 params=0.45/-1.25/0.7/1.25/0/-60 float=y maxiter=1200 inside=0 logmap=77 periodicity=10 colors=000LN_POaSPcVQeYRg`SiaTkbUjeRgfOagLVhJPiGJj\ DCkA6k80t`5sbBsdHsfNrhTrjZrldrmikncdoYYoSRpMKpHJlG\ IhFHeEGaDGZDFVCERBDOACK9CH9DLBDPDDTEDXGD_IDcJDgLDk\ NDnOFjNHgMIdLK`LLYKNVJOSJaMC_H6YC0UE2OF4NG6MH7LI9K\ JBJKCJLEIMGHNHGOJFPLEQMDROCSQCTRBRSBPSAOSAMT9KT9JT\ 8HU8GU7EU7CV6BV69V68VAOTEbSHcVJcYMd`OdcQdePbaO`ZN_\ WMYTLXQKVNJUJISGHRDGPAFO7EM4DL1CK3BJ5BJ7AI99HB9HD8\ GF8GH6GH5HH4HH3HHHD`U9sVBrVCqVDpVEoVFnVHnVImVIlVJl\ VKkVLjVNiVOgVPeVQcVRaVT_VUZVVYVWXVXWLZVMYWMYXMYYNY\ ZNY_NY`OYaOYbOYcPYdPYePYfQYgQYhQYiRYjRYkRYlSYmSYnS\ YoTYpTYqTYrUYsUYtUYuVYvVYwVYxZ2yY7zXCzXGzWLzWPzVUz\ b8zaAzaBz`Dz`Ez_Gz_HzZJzZKzZLzYNzYOzXQzXRzWTzWUzVW\ zVXzK0zL2zL3zM4zM5zM7zN8zN9zOAzOBzODzPEzPFzQGzQHzQ\ JzRKzRLzSMzSOzSPzTQzTRzUSzUUzUVzVWzVXzCFzDGzEHzEHz\ FIzGJzGJzHKzILzILzJMzKNzKNzLOzMPzMPzNQzORzORzPSzQT\ zQTzRUzSVzSVzTWzIDzF9zD5z } 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: Autokey
by JackOTradez 28 Nov '02

28 Nov '02

Autokey script is tricky but useful if you know how to use it and tweak it. I used it succesfully to make very deep zooms like the last half of the 2 universe viddies posted on my web site. I also use it to convert a large batch of images to a different color palette. I can send you these scripts if you want. JackOfTradez

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FOTD 28-11-02 (Vision of the Unknown [4])
by Jim Muth 28 Nov '02

28 Nov '02

FOTD -- November 28, 2002 (Rating 4) Fractal visionaries and enthusiasts: Today's image takes us into the unknown. Do I believe in the unknown? Of course I do. It would be folly to claim that we know everything there is to know, just as it would be equally foolish to claim that we have already found every fractal that might possibly exist. But there are different varieties of the unknown, and some are more reputable than others. Our civilization is currently obsessed with the scientific way of discovering truth, a method that depends on rational thought and empirical testing. With a few exceptions, this method does not admit the existence of unknown things beyond the range of the senses and their instrumental extensions unless a math can be found that makes predictions which have a chance of being experimentally verified. In the world of science, if a thing such as the existence of ghosts cannot possibly be disproved, it cannot be taken seriously. This does not mean that it does not exist; it merely means that it is beyond the range of scien- tific investigation. Before science can consider something to be 'the unknown', some rational evidence is needed that the thing exists in the first place. Undiscovered things such as 'dark matter' are said to be 'unknown' because they have not yet been found and there is evidence that they do exist. At the same time, there are those people who rational thinkers consider credulous and gullible, because they are not limited by the need to conform to the doctrine of scientific correctness. These 'free-thinkers' consider those who follow the scientific way to be narrow-minded. They don't need evidence, since they have already decided that what they believe is true. In their world, things beyond the range of the senses are a part of everyday life. The position of the planets at the time of birth indicates a person's potential. When people die, they don't cease to consciously exist, but merely become invisible spirits. Such beliefs bring comfort, but this type of 'the unknown' is scientifically disreputable because there is neither evidence that it might be true nor a logical need for it to exist. I am on the undecided fence in all of this, constantly shifting back and forth, but slowly drifting toward the scientifically disreputable side. I am certainly not on the fence when it comes to fractals however. Today's fractal is of the reputable variety. I have named it "Vision of the Unknown". The name is a bit misleading, for actually the scene is very well known. Despite its puzzling appearance, it is nothing less that our old friend, the one and only "Seahorse Valley", seen from a new angle which I call the Oblate orientation. I introduce it at this time because I will make December the month of the fourth dimension, featuring new and unusual slices of the Z^2+C Julibrot and much discussion of the curiosities that exist in four-dimensional hyperspace. I could rate the image no higher than a 4, since among serious fractalists the scene is already well known. It has only the coloring to set it apart from what has gone before. Perhaps its best feature however is its sizzling render time of 55 seconds from the attached parameter file. The pre-rendered image is available on the W.W.Web at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather was cloudy and blustery here at Fractal Central on Wednesday. With the wind making so much noise, the dynamic cats ventured out of doors for only a few minutes. The chilly temper- ature of 39F 4C helped not a bit. A treat of tuna was necessary to keep the duo in good temperament. Today is starting even colder, but the sun is bright and the wind has died down. In addition, there will be lots of Thanks- giving Day turkey by late this afternoon. All this considered, the fractal cats should have a better day. If I survive the feasting, I'll return in 24 hours with the next FOTD. Until then, take care, and if you eat too much turkey and gain a few pounds, sue the turkey farmers for your weight problem. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ VisionOfTheUnknown { ; time=0:00:55.20--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=-6.66134e-016/2.91434e-016/0.9\ 50534/1/-30/-1.23373533611470521e-014 params=0/90/\ 2/0/0/0/-0.75/0 float=y maxiter=25000 inside=0 logmap=yes periodicity=10 colors=03003N03N03N03N03N13N23N43N63N83N93NB3ND3NG\ 3NJ3NN3NQ3NT3VX3W_3eb3lf3ti3zzx1zs2zp2zm2zi4zf4ta4\ qZ6pV6nU6lS8kQ8iN8gL9fK9fI9dG9bFBaBB_ABY8DX6DX4DV3\ ET3ER3EQ3GO3GN3GwK0tI1sG1qG1qF2pF2nD2nD4lB4kB4kA6i\ A6g86g88f68d68d48b39a39_39_3BY3BX3BX3DV3DT3DT3ER3E\ Q3EQ3GO3GN3GTXTgXdzn0zi0zf0zc0x`0tV0qS0nP0kL1gG2dD\ 4aA8Y69V3BR3DO3EJ3iL3gL3fL3fL3dL3dL3bL3aL3aL3_L3_L\ 3YL3YL3XL3VL3VN3TN3TN3RN3QN3QN3ON3ON3NN3NN3LN3JN3J\ N3IN3IN3Gzwixsgwrftnfsmdqibphbpeanc_l`_kZYiVXgUXfQ\ VfPVdNTbKRaIR_FQYDOXAOX8NV4LT3LR3JQ3IO3IN3GVDYTBXT\ AVT8VR6TR6RR4RQ3QQ3OQ3OQ3NO3LO3LO3JN3IN3IN3GTXTOUz\ NSzNQzNPzNNxNNwNLtNKsNIqNGpNGlNFkNDiNBgNAfNAdN8bN6\ aN4_N3YN3VN3TN3RN3QN3ON3NN3LN3JN3I4zk6zi6wg8sf8pd9\ nd9kbBhaBe_Ba_D`YDXXEUVEQVGNTGLRIIQIFQIBOJ8NJ6LL3L\ L3JN3IN3Gz3zz3zz3zz3zz3zx3xw3wt3ss3qp3pn3ll3kk3ii3\ gg3df3bd3ab3Y_3X632634834 } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================

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FOTD 26-11-02 (Mollusks [6])
by Jim Muth 27 Nov '02

27 Nov '02

FOTD -- November 26, 2002 (Rating 6) Fractal visionaries and enthusiasts: Now that I have found a way to eliminate the nuisance of un- wanted e-mail, I sometimes amuse myself by actually reading the pathetic junk. This morning for example, I found 23 unwanted letters in my e-mailbox. Of these 23, three would make me into a 'bigger' man, two had approved my non-existent mortgage appli- cation, and the remaining 18 offered a way I could earn a lot of money by doing next to nothing. Unfortunately, all of the money-making letters required me to spend money before I could find how to get rich by doing almost nothing. Another problem was that most of the letters failed to disclose the nature of the get-rich-quick business they were promoting. I lost track of how many times I read phrases such as 'unlimited demand' and 'this business'. By the time I had finished reading the junk, I was convinced that I could probably do better raising chinchillas or selling sensuous pizzas. Fractals will never make me rich, but at least, they are honest. The parent fractal of today's image combines portions of Z^(-1.313) and Z^(-13.13). Then, to turn the fractal rightside- out, 1/C has been added instead of the normal C. The result is a large Mandeloid with a scattering of smaller Mandeloids arranged in a broad ring extending to the east and south. One of these smaller Mandeloids appears to consist of two Mandelbrot sets partly merged. Today's image is located in a broad valley where the two sets come together. I studied today's image for several minutes before finding the name "Mollusks". I can give no logical reason for the name other than I felt like using it. And the eight dark red features surrounding the midget actually do vaguely resemble steamed lobster claws. (Is a lobster a mollusk?) I rated the image at a 6, which is a bit above average on my scale of fractal worth. It might have rated a 7, were it not for the 37-minute render time. But as always, the completed GIF image is available on the internet at the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The Monday weather here at Fractal Central was of the pleasant variety. Warm sun, light winds, and a temperature of 61F 16C kept the cats active and happy in the yard most of the afternoon. Tippy briefly eyed a nut-gathering squirrel, but decided to do nothing but watch. Thomas just watched Tippy. This morning is cloudy and colder, with a raw north wind. The duo will be much less happy, and a treat will likely be necessary. For me it promises to be a routine day -- do the work, then explore the fractal world. The next FOTD will appear in 24 hours. Until then, take care, and have a fractalish day. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Mollusks { ; time=0:37:20.57--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.557485952491174/-1.90680936623707/1.\ 591116e+010/1/147.500128621781585/-0.0001669339402\ 8475389 params=-5.5/-1.313/-7.8/-13.13/0/0 float=y maxiter=5000 inside=0 logmap=639 periodicity=10 colors=030mWaqV`oV`qUaqTcqTdqSeqSgqQgqQhqPjqNkqNmr\ MmrMnrLorLqrJrrIrrItrGvrGwrExvAwrExoIzmLzjNzgQzdTz\ aWzZZzWazTdzQgzOjzLmzIpzFszCuz8wz5wz2wz0wz0wz0wz0w\ z0wz0wz0wz0wz0wz1wz1wz2wz4wz4wz5wz7wz7wx8ww8wwAwvC\ wtCwrDwqFwoFwoGwnGwmIwkJwjJwjLwhMwgMweOwd4qeOwdewc\ wwarw`ow`kw`hw`dw`aw`Yw`Vw`Qw`Ow`Jw`Gw`Cw`8w`4w`1w\ `0wa0w`0wZ0wY0wW0wV0wT0wS0wQ0uP0tO0tM0sL0qJ0pI0pG0\ nF0mD0kC0kA1j81h71h51g41e21d11d01b01a01a07e4ChDIkM\ MnTQqaWuj`wqewzjwznwzkwzhwzewzcwz`wzZwzWwzTwzQwzOu\ zLtzJtzGszDqzApz7pz4nz2mz0kz0kz0jy0hw0gu0gt0dp0bn0\ aj0`g0Ze1Yc2Wa5TZ8SYAQVDPTFNQIMPJLMMILPGIQEGTDDVBC\ YA8Z50Z77V7LV7VV7VV7VV7VV7VY7Va50c50c50d50d51e52e5\ 5g57g5Ah5Ch5Dj5Gj5Ik5Jk5Mm5Om5Qn5Sn5To5Wo5Yq5`o5Zo\ 5Yo5Yo5Wo5Wo5Vo5Vo5To5To5So5Qo7Qo8PqAPqBOrDOrEMtGM\ tILvJJvLJwMIwPIxSGxVGzYGz`GzbJzeMzhPzkSznVznVznVzn\ VznVznVznVznVznVznVznVznV } 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 27-11-02 (A Real Quickie [6])
by Jim Muth 27 Nov '02

27 Nov '02

FOTD -- November 27, 2002 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal image might be the quickest of all time, not in terms of render time, though this is under 3 minutes, but in terms of the time I spent in finding the scene with its midget at the center. Running on fractal instinct alone, and using Fractint's evolver feature for the real(p1) and real(p2) parameters, I found a parent fractal that appeared as though it might be promising. With nothing to guide me but instinct, I chose an apparently non-critical area of chaos in the eastern suburbs of the parent, and, simply to see what might lie there, zoomed in at random. Though no signs of the two-way symmetry that indicates the basin of a midget appeared, I kept zooming. I cannot say what drove me onward, but I kept going. The new images came up very fast. Then, after only a minute and much to my surprise, there it was before me -- the unmistakable signs of a midget. Once I had found the rather unique midget, a few minutes of color cycling produced today's FOTD. I have no idea how I stumbled upon the midget. A quick trip back to the surface of the parent will show how unlikely its existence seems from up there. Intact midgets do not appear in non-critical fractals or non-critical-appearing fractal regions. I guess I was just lucky. The name, "A Real Quickie" refers to the time I spent in finding the midget, not the 2-3/4 minutes required to render the image. The rating of 6 is limited by the small effort that went into the coloring. With so much work before me, I had no time to put more effort into the coloring phase. For the convenience of those who would rather nor run parameter files, the completed GIF image is available on the W.W.W. at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Tuesday was a cloudy, chilly day here in Fractal Land, with a temperature that never topped 45F 7C. The fractal cats responded by being irritable when they found the outdoors not to their liking. But when they saw those chunks of tuna appear in their food dishes, their moods improved notably. My mood will improve notably when I take the work now before me and put it behind me. But that will take some effort, and unless I start I'll never finish. Until tomorrow's FOTD, take care, and anything worth having is worth waiting for -- but not waiting too long. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Real_Quickie { ; time=0:02:43.67--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.362481021121545/+0.00106306952839/77\ 2340.2/1/130/5.54621512625919e-007 params=-13/-1.4\ 14213562373/45/-14.14213562373/0/525 float=y maxiter=400 inside=0 logmap=48 periodicity=10 colors=000M9ZL7YK6XJ4VI3UH1TG0SR3OU5LX7JZ9HaBFcDDf\ FAhH8kJ6mL4pN2rP0qS2qV3pY5p_6pb8oe9ogBnjCnmEnoFmrH\ muImwJjsSho_fkgdgobdwdeteerfepgenhekieijegkeelebme\ `neZoeXpeVqeSreQseOteMueJveHweFxeDyeBx`IxXOwTUwP_w\ LevHkvDqv9wuAutBssCrrDpqEopEmoFkoGjnHhmIglJekJdjKb\ iL`hM_hNYgOXfOVePTdQScRQbSPaTNaTM_SNYSOWSPVSQTSQRR\ RQRSORTMRULRUJQVHQWFQXEQYCQYAPZ9P_7P`5Pa4Pa5R_6TY7\ VW8XU9ZSA`QBbOCdMDfKDgIEiGFkEGmCHoAIq8Js6Ku4Lw2Lx1\ Nu4Os6Pp8RnBSkDTiFVfIWdKXcMZcP_cR`cTbcWccYdc_fcbgc\ dhcfichfcidcjack_ckXclVcmTcnQcnOcoLcpJcqHcqIclIchI\ cdIc_IcWJdSJeNJfJJgFJhBIiCHjCGkCGlCFmCEoDDqDDsDCuD\ BwDAyEAzE9zE8zE7zE7zF6zF5zF4zF4zF7zHAzJDzLFzNIzPLz\ RNzSQzUTzWVzYYz_`zabzbazZ`zW_zTZzQYzNXzKWzHVzEUzBU\ z8VzAVzBVzCVzDVzEVzFVzGVzHVzIVzJVzKWzMWzNWzOWzPWzQ\ WzRWzSWzTWzUWzVWzWWzXZzYazZdz_gz`qz5dzLSz_GznFzlFz\ kFziFzhFzgFzeFzdFzbFzaFz` } 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] Re: Fractint and Windows XP
by BillatNY＠aol.com 25 Nov '02

25 Nov '02

Tony, Wow, I can't believe how much work you've put into this. I never dreamed when I posted my original query that it would lead to this. I hope some other folks besides me benefit from all your endeavors. Thanks! Bill

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Re: [Fractint] Text fixed?
by nick.grasso＠hrads.com 25 Nov '02

25 Nov '02

John Wilson wrote: >>>OK. My Outlook Express was set to send "Plain Text". In the sub-menu for text settings, "Mime" was set encode text using Base64. I've changed that to "None". Hopefully I'm now cured?<<< Yes, your posts are fine now! Nick

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Re: [Fractint] Re: Fractint and Windows XP
by BillatNY＠aol.com 25 Nov '02

25 Nov '02

Tony, I tried using the cwsdpmi.exe program in the way you suggested. I did get more video settings showing up in the fractint.cfg than I did before. Sorry to say, though, that none of this makes any difference to XP. Anyway, here's a little gift from my archives to show my appreciation for all your efforts (as well as everyone else's on this list). It's been a long time since I posted any of my formulas, so I hope this works. Bill Art Nouveau { ; Bill Rossi reset=2000 type=formula formulafile=fractint.frm formulaname=afract006 function=cabs/recip/asinh/cosxx center-mag=-0.01853102639296191/+0.00000000000000000/29831.8 float=y potential=256/200/1 periodicity=0 colors=000zWU<34>t4It3It2Ht1H<8>n0Fn0Fm1F<3>k1Fj1Fi1E<2>h1Eh1Eg1Ef1E<20>\ U4BU4BT4B<3>Q5Auu2<3>ed5a_6YW7UR8gYi<6>XLTWJQUHO<3>N9DTSdKHWA5NmkN<12>ZT\ AYR9WQ8<3>RJ3yN9<4>iI7eG7bF6<3>PA4s0G<9>Z3CW4CU4B<3>L69xy2<18>a_6`Z6ZX7<\ 3>UR8gYi<17>RDJQCHPBG<3>L69abl<14>JFVHEUGCS<3>A5N_tS<9>P_NNXNMVM<3>HMKtw\ 3sv3 afract006 (yaxis) {;Bill Rossi z = pixel,c=z / (z-1): z = z + c, z = fn1(z) + fn2(z), z = fn3(z) / fn4(z), |z| <= 4 }

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FOTD 24-11-02 (Gills [7])
by Jim Muth 25 Nov '02

25 Nov '02

FOTD -- November 24, 2002 (Rating 7) Fractal visionaries and enthusiasts: The color flap on the Fractint list appears to be winding down. Not surprisingly, it turned out that we were all saying much the same thing in different words. Like the sound of the tree falling in the forest, the answer to the question of whether color exists before it is observed depends on the meaning given to the word 'color'. Today's emerald-colored image, which is surprisingly three- dimensional, vaguely resembles many things. I could have given it many names, but the name I decided on is "Gills". I rendered this otherwise routine scene with the outside set to < tdis >, which colors the points according to the total distance travelled before escaping. The normal equal-iteration-band rendering of the same scene draws a worthwhile image, but one that is not nearly as striking as today's < tdis > version. The parent fractal was created by adding 3.7 parts of Z^(-6.5) to 4.9 parts of Z^(-1.83). It is a three-lobed thing composed of mostly non-critical features. A small critical area does appear on the eastern end of the figure however, and in this area lies a bud with a curved filament extending from it. Today's image is located out near the tip of the filament, near one of the many nodes that lie on it. Due to its striking emerald coloration, I have, perhaps a bit liberally, rated the image at a 7. The render time of 5 minutes is within reason, which helps justify the rating. Those who want still more justice in the rating may download the completed GIF image from one of the two FOTD web sites. Paul's site can be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Scott's site can be found at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather was brisk here at Fractal Central on Saturday. The sun shone at intervals between scudding clouds, but the wind roared and the temperature stopped rising at 44F 6.5C. The cats, who could endure only a few minutes of such conditions, complained mildly, then settled by their favorite radiators. Today is starting better, though it's still a bit brisk. Time will tell how the day will turn out. Regardless of how things develop, I'll return in 24 hours with the next in the unending series of FOTD's. Until that eagerly awaited moment, take care, and if fractals are made of numbers, why not superstrings? I kind of like the idea of the universe being made of numbers, but if this is the case, where do the numbers come from? . . . . . . And what about those membranes of M-theory? . . . . . . Perhaps I ask too many questions. . . . Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Gills { ; time=0:05:26.59--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.18141305702516300/+0.114455945659029\ 40/1956272/1/-130/-1.086988873910677e-008 params=4.9/-1.83/3.7/-6.5/0/0 float=y maxiter=1800 inside=0 outside=tdis periodicity=10 colors=000OIjPKiRLhSNfTOeUQdWScXTbYV`ZW_`YZaZYb`Xc\ aW_cYXdZUe_Rf`OgaLhbIicFjdCke9lfH4ONITTWXZi`cwdavc\ `ubZtbYsaWs`Vr`Tq_SpZRpZK`WDMT67RJuzIrvIosIloHjlHg\ hHdeGbaG_ZGXVFVSFSOFPLENHEKEEHAEF73C17E3AG4EH5HJ6L\ L7OM8RO9VQAYRBaTCdVDhWEkYFnZGk_Kh`NeaQbbT_cWXd_Ueb\ RfeOghLhkIhnG`gFU`DNUCGOEOLGVJIaHKiEMpCOwAczCZwDXt\ EUpFSlGQgHHdIH`JGZIGYHGVGGUFFSFFREFPDFOCFNCDR9CV7B\ Y4Aa29d0Cf2Fg4Ii6Kj7Nl9QmBToDVpEYrG`sIcuKzzzzzzzzz\ zzzzzzzzzzzzewJcvHauG`uEZtDXsBVs9Tr8Rq6Qq5X8wTDqPI\ lMNfISaFXXEVVETTERSDPQDNODLNCJLCHJCFIAIL9KO8MQXCUu\ 3Xt6Ts9QsCMrFJrIFqLCqN9dP9TR9HS9IX7Ia6Ie5Jj4Jo3Js2\ Mm6Ph9ScDVZGYUK`PNcKRfFUiAYl5`o0cj5VeAM`FDXK4RTCMa\ JGiRBrY6zdKtXYnQVgXSacPVjMPqKJxNLuQNsTPqWRnZTlaVjd\ XhgZej`cmbaod_mealeckfeiffhghggjegldhmchoaiq`is_it\ ZepYblX_hWWdVTaUQYTMUSJQRGMRDJXCMbBPhASnAVlEZkHajK\ diOhhRkgUnfYre`uKDnMFlNHk } 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 25-11-02 (Just Another Midget [5])
by Jim Muth 25 Nov '02

25 Nov '02

FOTD -- November 25, 2002 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal, which mixes fractional parts of Z^(101) and Z^(-1.5), is a picture of another midget lying in a valley of its parent. And the parent is another indescribable fractal with a critical area filled with bits and pieces of Mandel- material, where the midgets are found. In response to these undeniable facts, I have named the image "Just Another Midget". I rated it at only an average 5. I know of no reason for the merely average rating. The colors might be a bit too brilliant, but fractals can look good with bright colors. I am simply dis-satisfied in some way. Why do I feel this vague dis-satisfaction with today's image? Nothing is wrong with midgets, (Minibrots, atoms). They are among the most interesting of fractal objects. But though their number is infinite, they comprise only a tiny part of the vast universe of fractals. Could I finally be becoming bored with midgets? A couple years ago I went an entire month without featuring a midget in the FOTD. Perhaps I need another such break. Perhaps I need to return to the preoccupation with four-dimen- sional figures and the curiosities of four-dimensional space that filled the FOTD discussions a couple years ago, when I posted many images of odd slices of the 4-D Julibrot figure. The Seahorse Valley area of the Mandelbrot set is perhaps the richest area of that best-known of all fractals. Its Julia sets are among the finest the M-set has to offer. But in addition to Julia sets, the four-dimensional Seahorse Valley area can be sliced to create Oblate sets, Rectangular sets, Elliptic sets and Parabolic sets. These less-familiar sets illustrate slices through Seahorse Valley in the remaining four mutually-perpendi- cular directions of 4-D space, and they are quite rich in an entirely new way. I think I will make December the month of the fourth dimension. The images will feature odd slices of the Z^2+C Julibrot, and the discussions will tell of the curiosities of 4-D space. Mini- brot lovers need feel no concern. When the new year arrives, the Minibrots will return, though not in the nearly exclusive manner of the past year or so. Today's image, which I have almost forgotten in my hyperspace ramblings, renders in under 10 minutes on my tired old fractal- workhorse P-200 machine. The file of the completed GIF image downloads in only a minute from one of the following two web sites: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Sunday here in the Fractal Central part of the world was near perfect, with full sun, light breezes, and a tempera- ture of 59F 15C. The cats were happy and so was I. No treats were needed. Today is promising to be a repeat, except that I now have a pile of work before me. Actually, it's a virtual pile, since the work is contained on a computer disk. When the work is finished, the fractals will appear, and one of them will be the FOTD for tomorrow. Until that serene moment, take care, and beware of rogue fractals lurking in the shadows. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ JustAnotherMidget { ; time=0:09:35.84--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.71809236052173200/-0.114940189613520\ 40/88703.96/1/172.5/1.31302241301867184e-009 params=0.26/101/0.4/-1.5/0/0 float=y maxiter=1500 inside=0 logmap=73 periodicity=10 colors=0006PQ6P06Q06R0AS0FT0KU0PV0UW0ZX0cY0hZ0m_0r\ `1wa3x`2wZ2wY2vW2vV2uT1uS1tQ1tP1sN1sM0rK0rJ0qH0qG0\ mcwncvocvpcuqdurdttdsudsverwmrxmqymqxfpwmovgnummuh\ lthksijriiriinjfkkdhlbem_anYZoWWpTTqRQrPPpROnTOmVN\ kXNjZMh`MgbLedLdfKbhKajJ_lJZmK`jKahKceKdcKe`KgZKhW\ KiUKkRKlPKmMKoKKpHKqFKsCKtAKu7Kw5Kx2Ky0Mx1Nw1Pv1Qu\ 1Ru1Tt1Us1Vr1Xq1Yq1Zp1`o2an2bn2dm2el2fk2hj2ij2ji2l\ h2mg2ng2anRD3XC4XB5XA6X97X88X79X6AX5BX3DV4CX5CY6BZ\ 7B`8Aa9AbA9cB9eC8fD8gE7hE7jF6kG6lH5mI5oJ4pK4qL3rM3\ tN2uO2vO2w`JKaMMbPOcSQdVReYTf`VgcWhfYii_jl`koblrdm\ tehsadrZ`qWWpTSoPOnMJmJFlG6qCBkDbfELaEeXFhRGiMGiHH\ j7JiCHkGFpKEnOCpSBrW9s`7uc6wg4yn2xk3xh3xf4wc4wa4wZ\ 5wX5vU6vS6vP6uM7uK7uH8uF8tC8tA9t79w28t59r8ApABmDCk\ GDiIEgLFdOGbQH`TIYWJWYKU`LScMPeNNhOLkPImQGpREsSCuS\ EvVFwYHx_IybKzeLzgNzjOzmRzqPzoOzmNzkLzjKzhJzfHzdGz\ cFzaDz_CzYBzX9zV8zT7zR7zS } 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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