November 2005 - Fractint - mailman.xmission.com

Re: [Fractint] Re: quaternion product correction
by Russell Walsmith 18 Nov '05

18 Nov '05

Thanks Gerald, I'm beginning to get a bit of feel for what's going on in these formulas. Very ingenious! I marvel that you are so conversant with this type of programming. Is writing code then your profession? If so, what is your speciality? (Just curious, if such questions aren't too personal... I promise not to sell the info to telemarketers or junk-mailers. :-) BTW, could you give me some initial values for '3dJulibrot_simple' that generate a nice image? Thanks again. Ciao, Russell ----- Original Message ----- From: "Gerald K. Dobiasovsky" <gerald.dob(a)aon.at> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Re: quaternion product correction Date: Tue, 8 Nov 2005 09:16:01 +0100 > > > Russell Walsmith wrote: > > > I'm still stoked on this formula. Morgan Owens and Hiram Berry > > should see >this! > > Russ, > > There's really not much to it, provided one removes the additional stuff > like 3d rotations and the like (and if a certain formula author wouldn't > be too lazy to use comments in his "works" at all ;-)). > > One faces two problems in writing a formula for greyscale depth display: > > 1) The formula parser doesn't provide a direct way to assign a color to > the given pixel, only hardwired methods are available. > > 2) Each Fractint formula only has one main iteration loop, no constructs > for nested loops are part of the parser. > > 1) > The first point comes up in "standard" 2d fractal images as well, and > a number of ways to emulate the behaviour of a "color=..." keyword have > been worked out by different persons, often independently. > > The general idea is to (mis)use the given variable "z". > Through "z" Fractint tracks a pixel's orbit, checks for periodicity to > shorten calculations, tests for finite attractors, and uses its content > in some of the coloring methods. > > The coloring method I am exploiting is "summ". > By enabling it, Fractint uses iter + real(z) + imag(z) as the color index. > Now, to force a certain color number, I only need to put into "z" that > color number *minus the iteration count*. Since Fractint adds this count, > it effectively cancels it, leaving only the color index number (and the > imaginary part of "z" in this case is zero anyway, so no problem here). > > 2) > The second point comes up because of the 3d nature of the scene. > One has to step from near towards far clipping plane, at each step > iterating to determine if the point is still outside the fractal, > only stopping if either the fractal or the far clipping plane is reached. > This, however, is easily wrapped up into one loop. One only has to make > sure Fractint's own iteration count doesn't get in the way. > > --- > Below I have put a formula stripped of all the additional stuff that makes > it hard to see what's going on (and - cough - even put comments into it!) > > Random note: > Fractint allows color 1 to 255 for this type of outside coloring. > Since one background color is needed, 254 colors remain for the fractal. > Therefore the max. number of (depth) slices is 254. > > Ah, and see the change from "p3 >= i" to "p3 > i" (last line); > all the years(!) it didn't dawn on me it causes one iteration too many :-/ > > Regards, > Gerald > > ---------------------------- Formula follows ------------------------------- > > 3dJulibrot_simple {;periodicity=no, outside=summ > ;maxit > p3real*(p3imag+1) > ;(maxit = Fractint's Maximum Iterations on <x> screen) > ;----------------------------------------------------- > ;p1 : Far clipping Julia parameter c > ;p2 : Near clipping Julia parameter c > ;p3 real: Maxiter per slice > ;p3 imag: Number of slices - 1 > ;p4 real: Bailout > ;----------------------------------------------------- > stepnum = imag(p3) > delta = (p1-p2)/stepnum ;Complex step to add to current c for next slice > zz = pixel ;Initialize screen variable > c = p2 ;Start with near clipping Julia parameter c > j = m = i = 0: ;j ... overall loop count > ;m ... slice number > ;i ... loop count for each slice > zz = sqr(zz) + c ;Iteration formula > IF (p4 >= |zz|) ;Bailout condition test > i = i + 1 ;No bailout, increment slice loop count > ELSE ;Bailout, so... > i = 0 ; reset slice loop count > m = m + 1 ; increment slice number > c = c + delta ; update Julia c to next slice's value > zz = pixel ; re-initialize screen variable > ENDIF > z = m - j ;Feed slice number to Fractint display engine, > ; compensating for overall iterations. > j = j + 1 ;Increment overall loop count > stepnum >= m && p3 > i ;Keep going if not past last slice and if not > ; inside set (maxiter per slice not reached). > } > > ---------------------------- End of formula ------------------------------- > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Is the fractal program you use able to read Fractint formula and/or parameter files?
by Jim Muth 18 Nov '05

18 Nov '05

At 12:38 PM 11/17/05 -0500, Hal Lane wrote: >>I explore fractal worlds ... using another program >What program do you use? You are probably referring to the program I mentioned in the FOTD discussion for Nov 14. That image is from the late 1980's. Back then I experimented with several fractal programs before settling on Fractint. I think the "Very Early" image was created with a program named "Recursive Realm", which saved images in PCX format and has been out of print for many years. Today I use Fractint exclusively for my fractal exploration. Jim M.

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Is the fractal program you use able to read Fractint formula and/or parameter files?
by Hal Lane 17 Nov '05

17 Nov '05

>I explore fractal worlds ... using another program What program do you use? Is it able to read Fractint parameter and/or formula and/or color map files? I seem to remember that there are some fractal programs that have adapted Fractint file formats as a 'standard' way of describing fractal information. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### ##################################################################### >-----Original Message----- >From: Brian Prentice [mailto:bprentice@webenet.net] >Sent: Sunday, November 13, 2005 12:43 PM >To: philofractal(a)lists.fractalus.com >Subject: Re: [philofractal] FOTD 13-11-05 (A Julia Set for All-3 [7]) > >> Maybe the FOTD is nearing its last lap. > >Jim, > >I sincerely hope not. I enjoy exploring the fractal worlds that you >introduce us to and illustrate so well. Unfortunately I have to do so on >a fractint challenged computer using another program and sometimes use >more than one layer. > >Brian Prentice -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.362 / Virus Database: 267.13.3/173 - Release Date: 11/16/05

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Re: Russ Walsmith PAR
by JackOfTradeZ 17 Nov '05

17 Nov '05

""You might find this par interesting. Take real(p1) and/or 1mag(p1) through 360 to rotate the object, and real(p3) from 1 to 0 to morph it."" I won't bother with the rotation since you (or someone recently) already did it. However, the morph looks cool and it is currently rendering; may take a while cause these images take long to render. I'll post it when done. !!@#^&*()!# Every time I think I'm done with these things and start to get back to coding and gaming someone shows me a new freakin' fractal I gotta animate! :( JoTz

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FOTD 17-11-05 (A Mandel Set for All-3 [6])
by Jim Muth 17 Nov '05

17 Nov '05

FOTD -- November 17, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image subtracts a little Z^5 from some Z^3 before adding C. The result is midget not quite like any I have seen before. In fact, it's not only the midget that's weird. The whole area of the parent fractal in which the midget lies is kind of weird. It deserves more investigation, which I will likely give it in a day or two. The real p1 and p2 parameters are critical. Even a small change totally loses the scene. The rating of 6 seems about right for the image. The render time of 1-1/2 minutes is lightning fast, but a download of the finished image is more convenient. That download may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> While browsing the December issue of 'Scientific American' magazine recently, I came upon a speculative article stating that spacetime might be a kind of fluid much like the luminifer- ous ether of 19th century physics. If it were so, it would mean the end of 20th century ideas such as relativity and quantum mechanics, but since these theories are mutually incompatible, their time to fade into the past might be approaching anyway. I may have more to say about all this new stuff once I have read the article more carefully and given the topic more thought. Right now I will only wonder what the spacetime fluid is sup- posed to be made of. Wednesday was warm enough here at Fractal Central, but it was breezy, and there were frequent showers. The cats spent the afternoon sulking on their window shelf, watching the wind blow and the showers move over. My day was fairly routine, with only a minimum of sulking. The next FOTD will be posted in 24 hours. Until then, take care, and is the world of fractals good, evil, neutral; or is it whatever one makes of it? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AMandelSetForAll-3 { ; time=0:01:23.54--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.43154027465265790/+0.005072105040872\ 53/4.920411e+007/1/20/-2.57364112225821895e-006 params=0.965/3/-0.193/5/0/0 float=y maxiter=1200 inside=0 periodicity=10 colors=000GMNGNOHPQ8qqCnmFkjIhgMecPc`S`YVYVZVRaSOd\ QLgNIkKEnHBqE8tC5sH8sLBsQErUHrYKrbMrfPqjSqoVqsYqw_\ gsaZpcPldGif7fg7eh8eh9eiAeiAdjBdjCdkDdlDclEcmFcmGc\ nGbnHboIboJbpJaqAKo9HoCIlFIjIIhKIfNIdQIbTI_VIYYIW`\ IUcISeIQbFP`CPZAPX7OV4OT2OX8R_EUcJXfP`jUdm_hqdltjq\ wowztzlghgcfb`cYXaSTZNPXIMUDIS8EP3BN89KD8IH7GM6DQ5\ BV49Z36c24g12Z4EQ6PH9`8Bk0Dv8CsGBqNAnV9lb8ji7gq6ex\ 5ct9ZpDUlGPhKLdOG`RBXV6UY2clm_jjWigShdOfbKe_GdXCbV\ 8aS4`P1_N5fR9mUDsXDr_DqcDpgCtnDpjDlgDhdDeaDaYDYVEV\ SERPENLEKIEGFECCE99KKBQUCVcE`mFgxEewGNFuOGuPGtQGsR\ HrRHrSIqTIpUJpVJoWKnWKnXKmYLlZLk_Mk_Mj`NiaNibOhcOg\ dNhcOgcPfcQecRdbRcbSbbTabU`aU`aV_aWZaXY`XX`YW`ZV`_\ U`_U_ZT_YS_XRZWQZVPZUOYUNYTMYSLYRKXQJXPIXPHWOGWNFW\ MFWLEVKDVKCVJBUIAUH9UG8UF7TF6TE5TD4SC3SB2SA1UB0SA1\ RA1Q91P92O82N82M83L73J73I63H64G64F54E55D45C45B45C6\ 7C89DABDBCEDEEFGFHIFIJFKL } 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 PARAMETER FILE=========================================

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Re: [Fractint] Re: Fractint Digest, Vol 33, Issue 5
by Russell Walsmith 16 Nov '05

16 Nov '05

Jotz, You might find this par interesting. Take real(p1) and/or 1mag(p1) through 360 to rotate the object, and real(p3) from 1 to 0 to morph it. Ciao ----------------------------Par file------------------------------------ anime { ; Greyscale depth image ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=file.frm formulaname=tc-set passes=3 center-mag=-0.364862/-0.260263/0.4578239 params=0/0/-2/1/1/0/0/4/150/253 float=y maxiter=2000000000 outside=summ periodicity=0 colors=000100000000PPPzzzyzzzyzzyyyyyxyyyxzyxxxxxwxxxwyxwwwwwvwwwvxwvvvv\ vuvvvuwvuuuuutuuutvutttttstttsutsssssrsssrtsrrrrrqrrrqsrqqqqqpqqqprqpppp\ popppoqpooooonooonponnnnnmnnnmonmmmmmlmmmlnmlllllklllkmlkkkkkjkkkjlkjjjj\ jijjjikjiiiiihiiihjihhhhhghhhgihgggggfgggfhgfffffefffegfeeeeedeeedfedddd\ dcdddcedcccccbcccbdcbbbbbabbbacbaaaaa`aaa`ba`````_```_a`_____Z___Z`_ZZZZ\ ZYZZZY_ZYYYYYXYYYXZYXXXXXWXXXWYXWWWWWVWWWVXWVVVVVUVVVUWVUUUUUTUUUTVUTTTT\ TSTTTSUTSSSSSRSSSRTSRRRRRQRRRQSRQQQQQPQQQPRQPPPPPOPPPOQPOOOOONOOONPONNNN\ NMNNNMONMMMMMLMMMLNMLLLLLKLLLKMLKKKKKJKKKJLKJJJJJIJJJIKJIIIIIHIIIHJIHHHH\ HGHHHGIHGGGGGFGGGFHGFFFFFEFFFEGFEEEEEDEEEDFEDDDDDCDDDCEDCCCCCBCCCBDCBBBB\ BABBBACBAAAAA9AAA9BA9999989998A98888878887987777767776876666656665765555\ 5455546544444344435433333233324322222122213211111011102 } ----------------------------frm file------------------------------------ frm:tc-set {;periodicity=no, outside=summ ;maxit > p5real*(p5imag+1) ;-------------------------------------------- ;p1real: Rotation about x-axis (1st rotation) ;p1imag: Rotation about y-axis (2nd rotation) ;p2real: Far clipping plane ;p2imag: Near clipping plane ;p3real: t --> c morph ;p3imag: ---- ;p4real: z1(0) ;p4imag: Bailout ;p5real: Maxiter per slice ;p5imag: Number of slices - 1 ;-------------------------------------------- ; bailout = imag(p4), tiefnum = imag(p5) delta = (real(p2)-imag(p2))/tiefnum tmp = pi/180 rotXax = exp(flip(real(p1)*tmp)), rotYax = exp(flip(imag(p1)*tmp)) ; HPixXY = rotYax VPixZ = real(rotXax) VPixXY = flip(conj(rotYax)) NXY = VPixZ*VPixXY NZ = imag(conj(rotXax)) VPixXY = -NZ*VPixXY ; tmp = NXY*imag(p2) + HPixXY*real(pixel) + VPixXY*imag(pixel) cx = cx0 = real(tmp), cy = cy0 = imag(tmp) cz = cz0 = NZ*imag(p2) + VPixZ*imag(pixel) ;HPixZ -> 0 tmp = NXY*delta, dcx = real(tmp), dcy = imag(tmp) dcz = NZ*delta x1 = 0 y1 = 0 z1 = real(p4) j = m = i = 0: a = sqr(x1) + 2*y1*z1 b = sqr(z1) + 2*x1*y1 c = sqr(y1) + 2*x1*z1 x1 = real(p3)*a + (1-real(p3))*c + cx, y1 = b + cy, z1 = (1-real(p3))*a + real(p3)*c + cz IF (bailout >= (sqr(x1)+sqr(y1)+sqr(z1))) i = i + 1 ELSE i = 0 m = m + 1 cx = cx0 = cx0 + dcx cy = cy0 = cy0 + dcy cz = cz0 = cz0 + dcz x1 = 0, y1 = 0, z1 = real(p4) ENDIF z = m - j j = j + 1 tiefnum >= m && p5 >= i } ----------------------------end------------------------------------ ----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: Fractint Digest, Vol 33, Issue 5 Date: Tue, 8 Nov 2005 18:28:48 -0700 > > ""I'm still stoked on this formula. Morgan Owens and Hiram Berry should see > this! Oh yeah, and Lloyd Garrick (aka Jaçk Of TraÐeZ); > http://www.sonic.net/~jot/ufvp.html) should consider animating it, IMO..."" > > Exactly which formula are you refering to? There were many in the last > couple mailings and I will check it out after the current projects; I am > zooming into Jim Muth recently posted "squared" mandelbrot, the "diamond", > and also continuing the 2nd MuthZooM to the terminal minibrot at e+26, > almost done.

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FOTD 16-11-05 (A Mandel Set for All-2 [7])
by Jim Muth 16 Nov '05

16 Nov '05

FOTD -- November 16, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal combines negative portions of Z^2 and Z^3, then adds C. The resulting parent fractal is a Mandelbrot set with a few added frills and a lot more action in East Valley. Today's image is located rather deep in the added action of East Valley. I named the image "A Mandel Set for All-2", which is more a catalog listing than a proper name. The unusual effect was achieved by rendering the image with the outside set to 'fmod' and a proximity of 1.1. The mathtolerance entry in the para- meter file assures that the image is rendered at the right magnitude. The rating of a 7 indicates that I consider the image well worth the effort of rendering it. At the same time, the render time of 10-1/2 minutes is slow enough for the download to be the better choice. The completed GIF file may be found on the FOTD web site, ready for download. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds hung heavy all Tuesday morning here at Fractal Central, but the sun emerged in mid-afternoon and the temperature was warm enough for the cats to make the most of things. They spent the afternoon lurking (more likely sleeping) in the holly patch. Their day was made complete by a dish of tuna in the evening. My day was relatively uneventful. The next FOTD will appear here in 24 hours. Until that mystical moment arrives, take care, and enjoy the mystery. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AMandelSetForAll-2 { ; time=0:10:29.55--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.83507435707595210/+0.000000401545732\ 68/8.265932e+011/1/102.5/0 float=y params=-1.05/2/\ -0.21/3/0/0 maxiter=1250 periodicity=10 inside=0 proximity=1.1 outside=fmod mathtolerance=/1 colors=000WZuWZuX_uX_tX`tXatYasYbsYbsYcsZcrZdrZerZ\ eq_fq_fq_gp`gp`hp`ho`ioajoajnaknaknblmblmbmmanobmn\ bmmbmmbmlcmkcmkcljcljdlidlhdlhdlgelgekfekeekefkdfk\ dfkcfjbgjbgjagjagj`gj_hj_hiZhiYhiYiiXiiXiiWihVjhVj\ hUjhUjhTkhSkhSkgRkgRlgQlgPlgPlgOnhPlgOjfNheMgdMecL\ cbKaaK``JZ_IXZHVYHUXGSWFQVFOUENTDLSCJRCHQBGPAEPADO\ 9CO8BO7AO89O89O89O99O98O98O98OA8OA8OA8OA7PB7OB7PB7\ PB7PC6PC6QC6PC6QD6QD6QD5QD5RE5RE5RE5RE4SF4SF4SF4SF\ 4TG4TG3TG3TG3UH3UH3UH1VG3VH5WI7WJ8WJAXKCXLDYMFYMHZ\ NJ_OK_PM`PO`QPaRRbSTbSVcTWcUYdV_eV`eWbfXdfYfgYghZi\ h_ki`li`jQXf2Rh6Ui9WjCYlG_mJanMcoPeoOeqKjoNemPakRY\ iTUgVQfXLdZHb`D`b9Zd5Xi0Yg1Yf1Zd1Zc1_b1_`2`_2`Z2aX\ 2aW2bV3bT3cS3cR3dP3dO3dN4eL4eK4fJ4fH4gG5gF5hD5hC5i\ B5i96j86j76k56k46k36i58h69g7Ae9BdACcBDbDE`EF_FGZHI\ XIJWJKVLLUMMSNNRPOQQPPRQNTSMUTLVUJXVIYWHZXG`YEaZDb\ _CdaAeb9gd8jf7lh5ni4ql3sn } 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 PARAMETER FILE=========================================

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FOTD 15-11-05 (A Mandel Set for All-1 [6])
by Jim Muth 15 Nov '05

15 Nov '05

FOTD -- November 15, 2005 (Rating 6) Fractal visionaries and enthusiasts: We recently had a short series of Julia sets for all, so why not a similarly short series of Mandelbrot sets for all? Today's image is the first in the series, but it has a problem -- it looks nothing like a Mandelbrot set. It looks more like an apparition of a golden shield. A quick glance gives the impression that the image has L-R symmetry. But a second glance reveals that first appearances can be deceiving. The fractal has no symmetry. Today's image actually is the Mandelbrot set that results when portions of Z^(-0.7) and Z^(-1.7) are combined and (1/C) is added. Of course, to create the special effects I used a few tricks. Rendered in the usual manner, the Mandeloid is little more than a roughly circular empty hole, with a few bits of debris scattered about. The extra excitement was added by rotating the image minus 90 degrees and rendering it with the inside set to 'atan'. Several other inside fills also work satisfactorily, but I had to choose one, so I chose the 'atan' fill. The name of the image is "A Mandel Set for All-1". I might have done better if I had named it something like "Golden Shield" or "Sunburst", but a name is a name and today's name has been determined. The image renders in 4 minutes on my machine. It downloads in even less time from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday here at Fractal Central turned out to be another day with lots of sun and unusually warm temperatures. As a result, the cats behaved like angels. My day was about as close to average as it is possible to come. The next FOTD will appear right here in 24 hours. Until then, take care, and fractals might exist only in the mind, but from where did they enter the mind? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AMandelSetForAll-1 { ; time=0:04:01.07--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-19.0779/0/0.01902579/1/-90/-1.2337e-014 params=0.5/-0.7/0.25/-1.7/0/0 float=y maxiter=1500 inside=atan logmap=yes periodicity=10 colors=000cAUaAUYAUUAUTAUEAU7AU0AU4AU8AUAAUCAUCAUD\ ATDASDARDAQDAPDAPDAODANDAMDALD9LD9KD9ID9FD9CD99C96\ B93A90A80A70A60A50A40A30A20A10A00A00A00A00A009B0DB\ 0AA0A90A80A70A60A50A40A32A24A16A08A0AA0CA0EA0GA0ID\ 0KG3MJ6OM6QP5SS4UV6WY7Y`8_b9acBcdCeeDgfEihGkiHmjIo\ kJqlLsmMunNwoOxqQyrRzsSztTzuVzvWzwXzxZzu`zrazoczmd\ zjdzgezdezbez_fzXhzWizVjzVkzVlzVmzVozVqzUozUmzUkzU\ izUgzQezUczXaz__zc_zfZwiYtlYqiWngUkeTgcReaPb_O`YMY\ WLWUJTSHRQGOOEMMCJKBHI9EG8CICGKFKMJNOMRQQURTYTXaV_\ dXchZfk`joamr`kp`in`hl`fk`di`cg`ae`_d`Zb`X``VZ`UY`\ SW`QUZNV`PTaRRcTQdUOfWMgYLi_Jj`IlbGmdEofDpgBri9sk8\ vm6zn4zl5zk6zj7zi8zh8yg9xfAweBvdBvcCvbDvaErbEqaFp`\ Go_HnZHmYKmXMmWOm`QmcSmfUmiVlgWkfXjeYidZhc_hb`gaaf\ _beZcdYdcXecWfbVgaUh`Ti_RjZQkZPlYOmXNnWMoVLpVKqUMp\ TOpSQoRSoQUnPWnOYnN_mMamLclKelJgkIikHkkGmjFojEqiDs\ iCuhBwh9yjBxhDwgFvfHudJtc } 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 PARAMETER FILE=========================================

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Re: Fractint Digest, Vol 33, Issue 7
by Dorothy Gibbs 14 Nov '05

14 Nov '05

In message <E1EbLEx-0005TA-00(a)mailman.xmission.com>, fractint-request(a)mailman.xmission.com writes >Maybe the FOTD is nearing its last lap. NO NO NO ... it isn't! I look forward to it Jim. I noticed but knew you would correct it without any prompting from me. Dorothy -- Dorothy Gibbs (in Hertfordshire UK)

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FOTD 14-11-05 (Very Early [5])
by Jim Muth 14 Nov '05

14 Nov '05

FOTD -- November 14, 2005 (Rating 5) Fractal visionaries and enthusiasts: After the recent mistake I have decided to change the schedule of the FOTD. Instead of posting the FOTD around midday of its scheduled date, I will post it in the late evening of the day before or the very early morning of its scheduled date. Thus I am posting the FOTD for November 14 around midnight of the 13th. The image is a very old one -- from the late 1980's. It was originally in 16-color PCX format but I converted it to GIF to make it viewable in the Fractint program. Unfortunately, it was created by another fractal program, one that did not record parameters, so I cannot supply a parameter file. The only way to see the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I have already sent the image, so unless something else has gone wrong, which, with my current luck, is entirely possible, it will probably be posted by the time you read this. This is typical of the stuff I was doing when I started my fractal adventures around 17 years ago. The image is obviously a scene in a perturbed Mandelbrot set. At the time I was fascinated by the intricate spirals of the perturbed sets, and also by the fact that a ghost image of the true M-set remains in the background of the perturbed sets. It was also around this time when I realized that the Mandelbrot sets and Julia sets are sections of the same four-dimensional object sliced in totally perpendicular directions. Today's image is named "Very Early". Unable to decide on a rating, I settled on an average rating of a 6. A near perfect day (lots of sun and 68F 20C) here at Fractal Central on Sunday gave the cats exactly what they needed to display their best behavior. They spent the afternoon alternating between the mostly shaded porch and the well concealed holly thicket. When evening arrived, they came inside for their tuna without being called. My day consisted of raking leaves and trying to think of a reason to avoid the task. The next FOTD will appear with its parameter file in 24 hours. Until then, take care, and where would we be without fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com NO PARAMETER FILE AVAILABLE=============================

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