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FOTD 10-09-02 (Not at all Deep [6])
by Jim Muth 13 Sep '02

13 Sep '02

FOTD -- September 10, 2002 (Rating 6) Fractal visionaries and enthusiasts: At first glance, today's image gives the impression of a scene lying deep in the range of arbitrary precision math. But the impression is not accurate. A glance at the parameter file will reveal a magnitude of only 5x10^5, and arbitrary precision math doesn't even work with 'type=formula' fractals. The effect of great magnitude is created partly by the nature of the image itself and partly because the parent fractal, which resembles a lacework doughnut, is grossly enlarged. The large size of the parent fractal means that the scene in effect actually lies somewhat deeper than the magnitude indicates. The name I gave the image, "Not at all Deep", was inspired by this illusory impression of great magnitude. The midget at the center of today's image lies in the remote suburbs of a larger midget located in the northern part of the bloated doughnut area of the parent fractal. The formula, which combines iterated portions of Z^(-2) and (1/Z), is quite simple, but as I have often stated, in the world of fractals, simple formulae sometimes create incredible images. The rating of 6 appears about right for this image, which impresses me as being just the slightest bit above average. And as always, the 7-minute render time can be avoided by 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> The fractal weather Monday here at Fractal Central was once again perfect, with a temperature of 88F 31C and all other things that go with weather perfection. The intrepid house cats, Thomas and Tippy, behaved perfectly as they passed the afternoon in their lounge chairs on the porch, wishing only that it had been a few degrees less warm. I'll be perfectly happy only when I finish some work that now lies in semi-disarray on the shelf beside me. So until next FOTD on Sep 12, take care, and see you then. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Not_at_all_Deep { ; time=0:07:32.09--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+126.9237024889527/+137.1000969757893/5\ 30479.5/1/62.5/6.90942504423530668e-006 params=1/\ -2/0.3/-1/98/525 float=y maxiter=900 inside=0 logmap=156 periodicity=10 colors=000UhfRjePleMneJpeHreEteCue5x24v64t93rC3pG2\ nJ2lM2jQ1hT1fW0d_0bb0`eCYXOVP_SHjQ9`XARcBIjCJfDJcE\ J`FJYGJUHJRIJOJJLKJHLJEMJBNJ8OJ5PS8M`BKiDIrGGzIEzP\ GzVHz`IzfJzlKzrLuqJppIkoGgnFbmDYlCTkBPj9Ki8Fh6Ag56\ g47f58e69d6Ac7Bb8Ca8D`9E_9FZAGYBHXBIWCJVDKUDLTEMTE\ ORJPQNQORRNWTL_UKcVIhWHlXGpVJlULhTOeSQaRTYQVVPYRO_\ NNaKO`MP_OQZQRYSSXUTXWUWYVV_WUaXTcYTeXTfWUgWUgYXdZ\ _a_aZadWbgUciRelOfoLgqJUcRGRZ3Ee4Hd4Kc5Mb5Pb6Ra6U`\ 7W_7Z_8aZ8cY9fX9hXAkWAmVBpUBrUDoYEmaGjdHhhJelKcoM`\ sNZvQWtTUrWRqZPoaMndKlgIkfKgeMddNacPZbQWaSS`UP_VMZ\ XJYYG_ZEa_Cc`Aea8gb6ic4kd3kc8kbCkaHk`Lk_QkZUkYZkXb\ kWgkVkkVohPlfKjdFgbAe`5cZD_XLWVTSU`OShKQpGPxCOtGOp\ KOmOOiSOfVObZObbOcfOdjOemXftRgiLV_FcQGteKrgNqhQpiU\ njXmk_lmcjnfioihplgqhehec`aaTZhLWiDUjFTkHSlJQmLPoM\ OqONsQLuSKwUJyVIzXGzZFz`EzbDzcaznRzmHzmJzWKzELzGMz\ INzKOzMPzOQzQRzSSzUTzWUzY } 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 12-09-02 (A Somber Minibrot [7])
by Jim Muth 12 Sep '02

12 Sep '02

FOTD -- September 12, 2002 (Rating 7) Fractal visionaries and enthusiasts: Today's discussion will be brief. When one is in as sour a mood as I am, it's better to remain silent than to speak out and risk offending. Today's fractal is another of my evaporated ones. I colored it with a palette of dark blues and indigo, and named it "A Somber Minibrot". The rating of 7 might be a bit over-optimistic, but who cares. The outzoom will reveal a horseshoe crab floating in a lagoon -- but what the heck. The render time of 15 minutes is tiresome, but the download from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> is far more reasonable. The weather here at F.C. on Wednesday was sunny and pleasant enough, with a temperature of 81F 27C, but the high winds from a hurricane just off the coast made things too hectic for the fractal cats, who took a brief glance outdoors and promptly retired testily to their sofa beds. Now, there's work to be done, so before I get myself into any more trouble, take care, and keep your cool. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Somber_Minibrot { ; time=0:15:45.75--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.97716686787938/+0.408927981791538/3.\ 114496e+007/1/12.5000011564625524/-9.1327179283368\ 0873e-006 params=1/-1/0.1/-2/9/1e+100 float=y maxiter=350 inside=bof61 periodicity=10 colors=000xQQIJD2O26L48J69G8BE9DBB000G6EI4EJ2GL0IN\ 0JO0LQ0NR0OT0QV0QI9V4X_0sb0pf0ng0ki0ik0gl0dp0bq0as\ 0YzL`z1VxBQXLN4OIBEEGDBL98R62X40a10g00l00q00n20l60\ i92gD6fG8bJBaNE_QIXTLVXNR_QQbTOfXLi_JlaIkfLiiNilQg\ pRftVfxXdzYbzabzbazf_zg_zixzRzzBzzOzp_zaksOwpTxlXx\ k_xgdxdgzbkz_pzYszVwzRzzQzzNzzLzzRzzYzxbxwitwnqttl\ sziszdqzapzYpzXnzXnzVlzVlzVlzTkzTkzTkzRizRizQgxQgw\ QgtOfsOfsOfxN_zNTzLOzJIzIBzI6zYBznEzzJzzNzzLzpLz_L\ zLLz6LzBJzGJzJJzOJzTJzXJzaJwfJsiJpnJlsJiwJfzJbzJ_z\ JbzLfzNizNkzOnzQqzQtzRwzTzzTzzVzzXQd6Tb8Va8kgNzn_z\ slzpgznbzk_ziVzfQzdNzYLwTLnOLdJJXEJN9JE4Jb0Iz0GTL4\ 0k00n00q00t20x40z80z91xB1sB1nD1iD1dD1_E1VE1RE0OEzz\ zzzzixzRfg8NL0404NBIbNVsYbzRizLqzExz90xD6q9Bk8Gd6N\ Y2RR1XL0dd0kx0qz0zz4zxIznVzdgzVtzRtzOtsLtgItXEtLBt\ 98t06t29x8DzBGzGJzLNzOQzTTzXVzL_z9dz0iq0nk1qgDtfOx\ d_zbkzawz_zzYVz9bpEigIqYN } 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 08-09-02 (Bluebrot [6])
by Jim Muth 08 Sep '02

08 Sep '02

FOTD -- September 08, 2002 (Rating 5) Fractal visionaries and enthusiasts: Blue and orange -- my old high-school colors -- that's the color scheme of today's image, which adds just a bit of Z^3 to Z before adding C. It's not that I'm trying to regain some of that long-gone school spirit; it's that these particular colors make the most of a routine image of just another midget. The exact amount of Z and Z^3 is determined by the real(p3) parameter, and is extremely critical. The formula, like many formulae created by M-Mix4, actually behaves as though the real(p3) parameter brought the formula near an asypmtotic point, where the fractal undergoes a sudden drastic change. The name "Bluebrot" was not named after my high-school football team, which was called the "Engineers", and usually whipped the starch out of their rival team down the road, which went by the name of the "Knights". The image's name is simply the shortest and most appropriate descriptive name I could come up with after a few minutes pondering the image. I wish I could rate the image something above a boringly average 5, but honesty prevails here at Fractal Central, and I always give the images a rating that reflects my degree of satisfaction or dis-satisfaction. If the parameter file ran in a minute or two, the rating might have been higher. As it is, the 36-minute render time is a bit much for such a mediocre image . . . except for the curious, that is. But relief in the form of the completed GIF image is at hand. The image will soon be available on the two FOTD web sites found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Saturday here at Fractal Central was perfect, with not a cloud in the sky and a cat-pleasing temperature of 84F 29C. The cats in question were appropriately pleased. Tippy, the long-tailed tabby, actually thanked me for the wonderful day he had spent in the yard. Thomas, the overweight yellow-orange, said nothing, assuming that I already knew he was thankful. As for myself, it's once again Sunday, and I'll be pleased if I can get through the day without doing any serious work. But regardless, I'll still have a pleasant day. Until next FOTD on Sep 10, take care, and don't let a blue fractal give you a case of the blues. P.S. -- And don't forget that soon-to-appear FOTD CD! Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Bluebrot { ; time=0:36:11.98--SF5 on a P233 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.25621249906585860/+6.284024255056992\ 00/2.779084e+008/1/-112.5/-3.06632516054589077e-005 params=1/1/0.03/3/-0.003/0 float=y maxiter=6000 inside=0 logmap=698 periodicity=10 colors=000K0RM0UO0ZQ0cS0hU8mSIrSSwSazSizSszSzzSzzS\ zzSzzSzzIzz8sk0YL0B0000000000000100600B00G00L00P00\ U00_00d00i00n00s00p00n03n3DkINkYYfaUdfUakU_pUYuUUz\ SSzSPzSNzSLzSIzSfzSzzPzz3zz0xz0sz0nz0iz0dz0_z8UzIP\ zSLz_GziBzs6zp3sf0a_0_30_0Pz0sz0uz0uz0uz0uz0uz0uz0\ uz3xzBxzIxzNxzUxz_xzfxzkszipzinzfkzfizdfzddzaazafz\ YizSkzNnsIpiDs_8uP3d83P03L08G1DD3GD1DD1DD1DSz0Pz0N\ z0Lz0Ix0Nz0Sz0Yz0az3fzGkzSpzduzpzzzzzzzzzzzzz_zx8z\ u6zu3xs1ps1kp0dp0Yn0Sn0Lk0Dk08d0DY0GP0IL0LD0N60P00\ U00Y00_00a00d00f00a08_DLUSYSfiNuuLzzIPzsNxpNuzLskL\ niIifIfdIaaG__GUYDSUDNSBLPBGNBDLBDLDBLDBIDBID0zD0z\ D0zD0zD0zD0zD0zD0zD0zD0uD0sD0pD0kD0iD0fD08D0dD0_D0\ YD0UD0PD0ND0LD0GD0DD0BzfUzdSzaSzaSz_PzYPzYPzUNzSNz\ SNzPLzNLzNLxLIsIIpIInGGiDGfDGaBDYDLSGSNI_ILfDNn8Pu\ 3Sz0Uz0Yz0_z0_z0_z0Yz0Yz0Yz0Yz0Uz0Uz0Uz0Uz0Sz0Sz0S\ z0Sz0Pz0Pz0Pz0PzDSzGPzINz } 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 06-09-02 (Quatrain [6])
by Jim Muth 06 Sep '02

06 Sep '02

FOTD -- September 06, 2002 (Rating 6) Fractal visionaries and enthusiasts: Before posting my FOTD's, I always check the attached parameter files to see that they work. Almost without exception the files run as they should. However, when posting the most recent FOTD, the one for Sep. 4, I neglected for some reason to check the parameter file before clicking the send button. This oversight gave Murphy's law the chance it needed to work its mischief. When I finally did check the file later in the day, I found that a backslash was missing from the end of a broken line, causing an error message to appear when the file was run. My apologies for any inconvenience. Today's attached parameter file most definitely will run. The image it will draw will take 7 minutes to complete, and hope- fully will be worth the time spent. The image that will appear lies in the fractal that results when -1.1 parts of Z are com- bined with -1.1 parts of Z^20 before adding C. This parent fractal is actually a classic Mandelbrot set caught in the act of morphing into the Z^20 Mandeloid. Today's scene lies in a curving valley at the mouth of a small bay on the east edge of the distorted M-set. I named the image "Quatrain", though I can't say why. A quatrain is a four-line stanza of a poem. Maybe I noticed the nearly square olive-green feature around the obligatory central midget. Regardless, it's a striking image, which looks as good from a distance as it does up close. Not wanting to appear boastful, I rated it a 6, which is above average, though not by much. The trip back out of the parent fractal is interesting also. Those with a little time to spare might wish to change the logmap to 0, the passes to G and make the journey at thumbnail size. As always, the completed GIF file of the image will soon be available on the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Thursday here at Fractal Central was perfect beyond description, so I won't try to describe the indescribable other than to say that the temperature of 83F 28C pleased the cats so much that their sour dispositions turned cheerful after a couple hours in the yard. As for me, I've got a couple hours of work ahead of me, and my disposition won't improve until the work is behind me. The solution . . . get the work started. Until next time on Sunday the 8th, take care, and double check your figures. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Quatrain { ; time=0:07:30.39--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+1.57055877097165100/+0.538927007893349\ 20/4.321429e+007/1/15/3.82882488214608685e-007 params=-1.1/20/-1.1/1/0/0 float=y maxiter=1500 inside=0 logmap=132 periodicity=10 colors=000nOEqPBtR8vS5uV9pZDlaHgdKcgOZjSVlVQiUMfTH\ dTDaS8ZR4XR4UPTMlKOrBPx9Mw7Iw5Fw3Bw18w05w02wtnSoiP\ jeNeaLaYIXTGSPENMBJO9EQ79S4AU2SYDQWCPUBNSAMQAKP9JN\ 8HL8GJ7EH6DG6BE5AC48A47835724522311100Pe0IV0CL06Aj\ KTdHPZFLTCINAEH7AB57523G09D07B06905603402201qLTRG7\ PF6`iWakWcgYedZfa_hZ`iWakTbmPdnMepJfqGgsDhtAi100q9\ fn9dk8bh8_e7Yb7W`6TY6RV5PS5NP4KM4IJ3GH3DE2BB298165\ 14202I3pG2kE2fD2aB1X91S81O61J40E309104ij7fg6de6ab5\ _`5XY5VW4TT4QR4OO3LM3JJ2GH2EE2CC1991771440220xttuq\ qroopllmjjjggheeebbb```YYYWWVTTTRRQOONMMLJJIHHFEED\ CCA99777544222n0Yk0Wi0Uf0Td0Ra0P_0OY0MV0LT0JQ0HO0G\ L0EJ0CH0BE09C08906704403201V5bT4`c4Zc4Xc4Vc3Tc3Re3\ Qg3Oi2Mi2Ki2Ii2Gi1Ei1Di1Bi19q07z05z03z01xR1zD0zKUz\ YZzZHhcNNhLMmKLrJKvIIzHHzGGzEFzDDzCCzBBzAAz98z87z6\ 6z55z43z32z21z12zX1zT1zP1zM1zI0zE0zB0z70z3xzjkz`_z\ SOzICz95zcEzTKzQQzNWzKbzH } 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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Repost FOTD 04-09 Parameter file now runs
by JimMuth＠aol.com 04 Sep '02

04 Sep '02

FOTD -- September 04, 2002 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image mixes some Z^3 with some Z and produces a Mandelbrot set with a new open area caught in the act of opening on the X-axis some distance to the west. (This new area is quite sensitive to small changes in the real(p3) parameter.) The Mandelbrot set part of the parent holds pretty much the same features as the classic M-set, but the newly-opened area to the west contains some entirely new features. One of these new features is a double valley. In the classic M-set, Double valleys usually indicate a non-critical environment, but in the world of the M-Mix4 formula there are no hard and fast rules, so I decided to take a look into one of the several arms in this double valley, where I found an interesting environment, better viewed than described. Today's scene is located in the suburbs of a larger midget near the end of a filament in the double valley. The trip down, which is rather interesting, can be seen in reverse by changing the logmap setting to 0 and doing multiple outzooms. Unlike I do in most of my FOTD's, I did not rotate today's image to the normal position, with the main stem of the midget facing west. The reason is simple -- though I know it is there, I have never seen the midget at the center. Unfortunately, the midget is beyond resolution. The invisibility of the midget inspired the name "The Unseen Midget". The rating of 6, based on the pattern around the midget alone, seems fair. All is not lost however, for as the pattern indicates, today's midget lies in the suburbs of a larger midget, and this larger midget is nearly exactly the same as the unseen midget in today's image. (I can tell by the pattern.) So a trip out to see the larger midget will give a good idea of the appearance of today's unseen midget. The drawback to all this exploration is the slowness of the image, which takes nearly an hour to render on my machine, but if the passes is reset to <g> and the exploration is done at thumbnail size, the trip is do-able. As always, the completed GIF image will soon be available on Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and on Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Tuesday was summer-like here at Fractal Cen- tral. The hot sun and temperature of 88F 31C kept the dynamic cats satisfied, though not as active as they still occasionally are. In the evening, I found the remains of a half-eaten bird at the foot of the porch stairs. Both Thomas and Tippy pleaded innocent, so I have no idea how the bird got there. But I have a very good idea of how I'll get from busy to idle -- and that is to finish the work that needs to be done. And if I hope to finish, I must begin. So until the next FOTD on Friday September 6, take care, and accept no FOTD substitutes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ The_Unseen_Midget { ; time=0:55:10.80--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.00245214023728272/+1.268076105879121\ /1.714617e+011/1/90/3.88578058618804789e-016 params=1/3/1/1/-0.195/0 float=y maxiter=3600 inside=0 logmap=-1138 periodicity=10 colors=000H0_F0aD0cA0e80g60i80kA0mB0oD0qE1sG2uH3wJ\ 4yL5zM5zO4zP4zR3zS3zR6zRAzRDzRGzRKzRNzRQzRTmQXeQ_Y\ QbWQeTQiQQlNQoKQrIToGVmFXkEZhCafBcdAea8g_7jY6lV4nT\ 3pR2YhQ_gNagRehUhr_yzDxwGxwJxrMwmPwhSwcVvZYvU`vPcu\ KdtFesFfrIgqKhpNioPjnSjmVklXlk_mjanidohfpgiqfkq`gm\ WdjQ`fLYcGV`FS_EPZDMYCKXBHWAEV9CU89T76S74R95SB6TD7\ UF8UH9VJ9WLAXMBXOCYQDZSD_UE_WF`YGa_Hb`Hb_Ga_Ga_G`_\ F`_F__F__EZ_EZ_EZZGXZIWZKVZLTYNSYPRYRPYSOXUNXWLXYK\ XZJW`HWbGWdFWeER`HMXJHSMDOO8NR4NU0NW3PV6QV8SVBTUEV\ UGWUJYTMZTO`TRaSUcSWdSSeVOeYKf`GfcCgf8gi4hl1ho2di2\ ac2YZ2VT2RN2OI2KC2H62E1EQGQ`UalhlwvdtlXrbPpTHnJAl9\ FiJKgSPdaUbjZ`sKj`5sI8tLBuNDvPGwRIwTMtVPrWSoXVmZYj\ _ah`debgccj`dmZel`bka`jbZidXheVhfSggQfiOejMdkKdlIN\ h1KaX8YLbeE`bH_`JZZLYXNWUQVSSUQUTOWRLZQJ`PHbOFdMCg\ LAiK8kJ6mDNb7bS1rH3lK5gN6aP8XS9SUBMXDH_EBaG6dH1fLd\ SSgQYjPVgTTdWRaZOZaMWdKTg } 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 04-09-02 (The Unseen Midget [6])
by Jim Muth 04 Sep '02

04 Sep '02

FOTD -- September 04, 2002 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image mixes some Z^3 with some Z and produces a Mandelbrot set with a new open area caught in the act of opening on the X-axis some distance to the west. (This new area is quite sensitive to small changes in the real(p3) parameter.) The Mandelbrot set part of the parent holds pretty much the same features as the classic M-set, but the newly-opened area to the west contains some entirely new features. One of these new features is a double valley. In the classic M-set, Double valleys usually indicate a non-critical environment, but in the world of the M-Mix4 formula there are no hard and fast rules, so I decided to take a look into one of the several arms in this double valley, where I found an interesting environment, better viewed than described. Today's scene is located in the suburbs of a larger midget near the end of a filament in the double valley. The trip down, which is rather interesting, can be seen in reverse by changing the logmap setting to 0 and doing multiple outzooms. Unlike I do in most of my FOTD's, I did not rotate today's image to the normal position, with the main stem of the midget facing west. The reason is simple -- though I know it is there, I have never seen the midget at the center. Unfortunately, the midget is beyond resolution. The invisibility of the midget inspired the name "The Unseen Midget". The rating of 6, based on the pattern around the midget alone, seems fair. All is not lost however, for as the pattern indicates, today's midget lies in the suburbs of a larger midget, and this larger midget is nearly exactly the same as the unseen midget in today's image. (I can tell by the pattern.) So a trip out to see the larger midget will give a good idea of the appearance of today's unseen midget. The drawback to all this exploration is the slowness of the image, which takes nearly an hour to render on my machine, but if the passes is reset to <g> and the exploration is done at thumbnail size, the trip is do-able. As always, the completed GIF image will soon be available on Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and on Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Tuesday was summer-like here at Fractal Cen- tral. The hot sun and temperature of 88F 31C kept the dynamic cats satisfied, though not as active as they still occasionally are. In the evening, I found the remains of a half-eaten bird at the foot of the porch stairs. Both Thomas and Tippy pleaded innocent, so I have no idea how the bird got there. But I have a very good idea of how I'll get from busy to idle -- and that is to finish the work that needs to be done. And if I hope to finish, I must begin. So until the next FOTD on Friday September 6, take care, and accept no FOTD substitutes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ The_Unseen_Midget { ; time=0:55:10.80--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.00245214023728272/+1.268076105879121 /1.714617e+011/1/90/3.88578058618804789e-016 params=1/3/1/1/-0.195/0 float=y maxiter=3600 inside=0 logmap=-1138 periodicity=10 colors=000H0_F0aD0cA0e80g60i80kA0mB0oD0qE1sG2uH3wJ\ 4yL5zM5zO4zP4zR3zS3zR6zRAzRDzRGzRKzRNzRQzRTmQXeQ_Y\ QbWQeTQiQQlNQoKQrIToGVmFXkEZhCafBcdAea8g_7jY6lV4nT\ 3pR2YhQ_gNagRehUhr_yzDxwGxwJxrMwmPwhSwcVvZYvU`vPcu\ KdtFesFfrIgqKhpNioPjnSjmVklXlk_mjanidohfpgiqfkq`gm\ WdjQ`fLYcGV`FS_EPZDMYCKXBHWAEV9CU89T76S74R95SB6TD7\ UF8UH9VJ9WLAXMBXOCYQDZSD_UE_WF`YGa_Hb`Hb_Ga_Ga_G`_\ F`_F__F__EZ_EZ_EZZGXZIWZKVZLTYNSYPRYRPYSOXUNXWLXYK\ XZJW`HWbGWdFWeER`HMXJHSMDOO8NR4NU0NW3PV6QV8SVBTUEV\ UGWUJYTMZTO`TRaSUcSWdSSeVOeYKf`GfcCgf8gi4hl1ho2di2\ ac2YZ2VT2RN2OI2KC2H62E1EQGQ`UalhlwvdtlXrbPpTHnJAl9\ FiJKgSPdaUbjZ`sKj`5sI8tLBuNDvPGwRIwTMtVPrWSoXVmZYj\ _ah`debgccj`dmZel`bka`jbZidXheVhfSggQfiOejMdkKdlIN\ h1KaX8YLbeE`bH_`JZZLYXNWUQVSSUQUTOWRLZQJ`PHbOFdMCg\ LAiK8kJ6mDNb7bS1rH3lK5gN6aP8XS9SUBMXDH_EBaG6dH1fLd\ SSgQYjPVgTTdWRaZOZaMWdKTg } 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 02-09-02 (What Me Worry [4])
by Jim Muth 02 Sep '02

02 Sep '02

FOTD -- September 02, 2002 (Rating 4) Fractal visionaries and enthusiasts: Fractal buds come in all shapes and sizes, enclosing, as they do, areas of a particular periodicity. Most buds are of the quadratic variety, and therefore nearly circular, but some buds are true oddballs, such as the bud that appears in today's image. Today's bud is shaped more like a bowling pin than a Mandelbrot bud. And instead of smaller buds around its perimeter, it has various bits and pieces of entire M-sets. The apparent head of the bowling pin is actually a distorted and incomplete M-set, which is connected to the body of the bud. The connection forms the neck of the pin. The overall appearance of the distorted bud creates a feeling of humorous goofiness, much as does the face of the cartoon character who speaks the words that are the name of today's image -- "What Me Worry". The rating of 4 is a bit below average, because the image isn't really that great. But the image is a real curiosity, and if it is not quite worth the 1/2-hour render time from the parameter file, it is at least worth the download from Paul's 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> As always, give Paul and Scott a chance to render and post the image before visiting their FOTD sites. The weather Sunday here at Fractal Central featured steady rain and a temperature of 65F 18C . . . if such conditions can be considered a feature that is. The cats certainly did not enjoy their forced indoor confinement, and loudly let me know their displeasure. A treat of left-over turkey breast only partially relieved their distress. Today promises to be a far better day, with far less rain. On days such as this, it's best to do as little work as possible, so I'll make that my goal. Until next FOTD on Wednesday the 4th, take much care but not too much care. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ What_Me_Worry { ; time=0:28:19.89--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=+0.38671183426525360/+0.415903832256643\ 20/4381.013/1/87.5/-8.77794364972928065e-012 params=1/5/1/2/0/0 float=y maxiter=16000 inside=0 logmap=86 symmetry=none periodicity=10 colors=00051L62M73N94NA5OB6PC7PD8QF9RGARHBSICTJDTL\ EUMFVNDVOBWQ9VPAWPAXPBXPBYOCZOCZOD_OD_NE`NEaNEaNFb\ MFcMGcMGdMHdLHeLIfLIfLJgLJgKJhKKiKKiKLjJLkJMkJMlJN\ lINmIOnIOnIOoHPpHPpHQqHQqGRrGRsGSsGStFRuGStGSsGSsG\ TrGTrGTqGUpGUpGUoGUoGVnGVmGVmGWlGWlGWkGWjGXjGXiGXi\ GYhGYhGYgGYfGZfGZeGZeG_dG_cG_cG_bG`bG`aH``Ha`Ha_Ha\ _HaZHbYHbYHbXHcXHcWHcWHcVHdUHdUHdTHeTHeSHeRHeRHfQH\ fQHfPHgOHgOHgNHgNHhMHhLHhLHiKHiKHiJFkJHiJIhJJgJLfJ\ MeJNdJPcJQbJRaJT`JU_JVYJXXJYWJZVJ`UJaTJbSJdRJeQJfP\ JhOJiMJjLJlKJmJJnIJpHJqGJrFJtEJuDJvCJwBJvCIvDIvEIv\ EHvFHvGHvHGvHGvIGuJFuKFuKFuLFuMEuMEuNEuODuPDuPDtQC\ tRCtSCtSBtTBtUBtUBtVAtWAtXAsX9sY9sZ9s_8s_8s`8sa8sa\ 7sb7sc7rd6rd6re6rf5rg5rg5rh4ri4ri4rj4qk3ql3ql3qm2q\ n2qo2qo1qp1qq1pr0qs1qt1qu1qv2qw2rx2sy3tz3uz3vz4wz4\ xz4yz5zz5zz5zz5zz6zz6zz6zz7zz7zz7zz8zz8zz8zz9zz9zz\ 9zz9zzAzzAzzAzzBzzBzzBzzC } 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 30-08-02 (Curlers [7])
by Jim Muth 30 Aug '02

30 Aug '02

FOTD -- August 30, 2002 (Rating 7) Fractal visionaries and enthusiasts: Checking my e-mail box this morning, I found 23 messages, 18 of which were junk. I am not particularly annoyed by this junk mail, some of it is actually fun, especially those blatantly scam letters from the families of assassinated leaders I have never heard of in some unlikely African nations, who want to give me 8-million U.S. dollars if I send them my bank account number. And there is also the "very excite game" family of junk, which I have received hundreds of times, and delete immediately because they contains a virus. I simply delete most of this junk automatically. This morning however, when it took 20 minutes to download my queue of e-mail, I realized that things might be getting a bit out of control. I'm even getting undeliverable messages returned to me that I never sent. If the present trend continues, I might need to change my e-mail address in the not-too-distant future. But for the present, I'll stick with the 6-year-old 'jamth' address. Today's image existed for all eternity before I stumbled upon it yesterday afternoon. It is a scene in the fractal that results when 0.1 part of Z^12 is subtracted from Z^1.2 and 1/C is added. The fractal consists of a two-lobed Mandeloid with its main filament curling off to the east. The curl in this filament inspired the name "Curlers". Today's FOTD pictures a point far out on this curling filament, where a tiny midget lurks. Most of the impact comes from the coloring, on which I spent a few extra minutes. Thanks to the strong colors, the image, which otherwise would have rated a 6, rates a 7. The parameter file is unusually fast, running in the one-minute range on most machines. It will probably take longer to go online and download the completed GIF image file. But for those who will enjoy the trip, the completed image may be found online at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Thursday here at Fractal Central was of the fractal variety, as most everything in nature is, including the fractal cats, who endured 2 outdoor hours of heavy clouds and a tempera- ture of 70F 21C before surrendering to their need for food and coming in from the yard. As for me, I'd best get busy doing the things that need to be done here in the fractal shoppe. And that means work. So until the next FOTD three days from now on Sept 2, take care, and be of sound mind and nominally unsound fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Curlers { ; time=0:01:25.91--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.42455251587505830/+0.001585523072115\ 22/4.121986e+008/1/102.499999815637167/6.040707956\ 06759248e-008 params=1/1.2/0.1/12/0/0 float=y maxiter=280 inside=0 logmap=25 periodicity=10 colors=00000000000000000000000FA1KK5ON9RREUPIKXNNc\ SPjXSqaWyfXzl`zqaWzpZzjazecy`fwXjuSlsNpsKqqFupByn8\ zl3zj0zj0se5haEXZNNWXCSf3Pq0Lz3WzCczLnzWwzezzezzez\ wezpezhezaezWezPezIezCez6ez1ez0ez0ez0ez0In00P602K0\ 9N0FP0LR0SS0ZU0eW0lX0sZ0z`0za0zc1zZ6zWCzRIzNPzKWzF\ azChz9fzBezCczCazE`zEZzFXzFWzHUzISzIRzKPzKNzLLzLXz\ RfzWqz`zzczyfywhwujusnsqpqpqpnsnnwllyjjzhhzffzeezc\ czcczhflljRpn6sq0pn0nj0jf3hc8e`EcXI`UPZRUWN`UKeSFl\ RCsR9zP6zP3zW9zaFnhKapRRwXFza5zh0zn0j0FX6EKLC8`B0q\ 90z80yC0qF6jKEcNLXSURWaK`jEcnKhqRluWpyauzfyznzzszz\ wzsywnzqfzn`zhWze0hy0ls0pn0sh0wc0z`0zW0zR1zL2zH2zE\ 8zKEzRKzWRzaXzhcznjzuqzzlzzhzzczz`zzWzzSzzNzzKzzFz\ zCzz8zz5zz1zz0zz0zz0zz0zs0zl0zf0z`0zU0zP0zR0zS0zU0\ zW1zX2zZ3z`6z`8za9zcBzeEzfFzhHzjIzjNzhRzhUzhXzh`zh\ czffzfjzfzzfzzfzzezzezzezzezzezzZyzUuzPpzKjzEfz9az\ 5Xz1Uz0Nz0Iz0Ez09z05z00z0 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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FOTD 28-08-02 (A Thorny Issue [8])
by Jim Muth 29 Aug '02

29 Aug '02

FOTD -- August 28, 2002 (Rating 8) Fractal visionaries and enthusiasts: The parent fractal of today's image is closely related to the parent of the image of Aug 26th. Negative portions of Z^(-2) and Z^(-3) are combined before (1/C) is added. The resulting fractal consists of a large central bay with a non-critical cloverleaf-like island at the center. This cloverleaf holds little of interest, but the western shore of the bay features a very prominent sub-bay, with critical buds and filaments. The filaments are not the simple jagged lines of the M-set filaments, but are twisted into loops and rings that hold countless midgets. Today's midget lies in a branch of a tiny ring near the tip of a filament. Actually, the midget is not there at all, for the escape radius of a full googol has totally evaporated the outside material, leaving only a blank inside of trapped points. But all is not lost. The inside fill of bof61 has revealed the ghost of the midget that once was there but now has gone. Curiously, the bof61 inside fill is the only fill that produces such a fine image. I think the bof61 fill colors the inside points according to which iteration comes closest to the origin, but I'm not sure. Regardless, the image rates an exceptional 8, which is the highest rating in several months. The name I gave to the image, "A Thorny Issue", is totally whimsical. The phrase simply came into my head as I studied the scene. (I'll bet a psych-something or other could learn a lot about my secret unconscious life from the titles I sometimes half-consciously give to my FOTD's.) The 3-minute render time of the parameter file is fair enough. A download of the finished image is even fairer. The completed image may be found on Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and on Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather here at Fractal Central on Tuesday featured morning sunshine followed by increasingly thick afternoon clouds and a high temperature of 86F 30C. The duo of fractal cats must have approved, for they spent several hours prowling in the holly thicket at the bottom of the back yard, cleverly avoiding the burdock burrs and thistles that, despite all attempts at eradication, still grow there. And if I'm to avoid a late start in the morning, I must soon shut down the fractal shoppe and call it a night. Until the next mind-boggling FOTD appears on Friday the 30th, take care, and be as happy as the fractal duo. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Thorny_Issue { ; time=0:03:39.15--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-6.779241253387853/+2.975306275944614/2\ .396909e+008/1/-87.5/-1.68222442726295718e-005 params=-0.5/-2/-0.1/-3/0/1e+100 float=y maxiter=295 inside=bof61 logmap=40 periodicity=10 colors=000hhzhhzhhzhhzlRrU_EPV9TRARRASKAPGATDAaPJi\ _Srj`zuiirVUpHM_XYlcirjuwpnrlhmhahdWc`QZXJUTDPP7LM\ I`wSbs`dojfksghreeqcbpa`o_YnYVmWTlVQkTNjRLiPIhNFgL\ DfJAeH7dG5cFAbEEaDJ`CN_BSZAWY9`Y8dX9eX9fXAgXAhXBiX\ BjXCkXClXDmXDnXEoXEpXFqXFqVy4Xw8ZvC`uFatJcsNerQgqU\ hpYjo`lndnmholkmihmgemebmc`maYmZVmXSmVQmTNmRKmOHmM\ FmKCmI9mG6mE4mG5mI6mK6mM7mO8mQ8mR9mTAmVAoXBqZzs`zu\ bzwczx`zxYzyVzySzyPzzSzzVzzSzzPzzNzzKzzHzzFzzCzz9z\ z7zzCzzGzzKzzPzzTzzXzz`zzezzizzmzzqzzhzz`zzTzzUzzV\ zzWzzWzzXzzYzzZzzZzz_zz`zzazzazzczzezzgzzizzezzazz\ YzzUzzRzzNzzJzzFzzCzz6zz1zzFzzSzzPzzNzzLzzOzzRzzTz\ zWzzYzz`zzbzzezzhzzjzzmzzozzrzztzzwzzyzzuzzrzzozzl\ zzizzfzzczz_zzXzzUzzRzzOzzLzzIzzFzzGzzGzzGzzHzzHzz\ HzzIzzIzzIzzIzzUzzUzzUzzVzzVzzVzzWzzWzzWzzWzzXzzXz\ zXzzYzzazzYzzYzzZzzZzzZzzZzz_zz_zz_zz`zz`zz`zz`zza\ zzazzazzbzzbzzbzzbzzczzcz } 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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Last word on dead issue
by Jim Muth 29 Aug '02

29 Aug '02

At 07:29 PM 8/23/02 -0700, Ken Childress wrote: <I wrote> >>and the 'I'm an artist' crowd left the Fractint list >>to flock to the other program. > <Ken replied> >This sounds derogatory. Is that what you meant? To begin, I mentioned no program and no author, though the program to which I was referring was obvious, and I did comment that the program in question was a fine program. I did not state that the Fractint code had been stolen, though I did comment that some of it it might have supplied ideas, and in that way, have appeared in modified form in the other program. Finally, by my 'I'm an artist' comment, I implied that IMO it takes more than knowing how to use a computer program to be considered an artist. The word 'artist' implies creativity and originality. It does not imply doing the same things that the rest of the crowd is doing. Such people are better considered skilled craftsmen, which is what I consider myself. If you find this derogatory, I'm sorry. Jim M.

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