November 2003 - Fractint - mailman.xmission.com

[Fractint] Horizontal line (and other) artifacts due to periodicity testing
by Hal Lane 07 Nov '03

07 Nov '03

################################################################# JoTz, What I understand of Periodicity Logic is that it is a speedup whose purpose is to decrease the calculation time of fractals by terminating a pixel's calculation early when Fractint detects that the values of the iterates have fallen into a repeating loop. This feature, which is on by default, operates on essentially all fractal calculations (probably not while calculating Iterated Function Systems) and can occasionally cause image artifacts most usually in the form of horizontal lines if the assumptions made for its correct operation are not met. Damien M. Jones notes that sometimes "'Holes' in an image while it is being drawn" can be an artifact caused by periodicity checking terminating an iteration too soon in certain circumstances. (See below.) Fortunately these problems seem not to happen too often -- since Mark Peterson's Periodicity Logic in Fractint has saved countless years while calculating fractals... :) >"...I think the effect looks rather cool..." The horizontal lines are really not supposed to be there. The lines are caused by the speedup algorithm going awry. However, one person's artifact can be another's nifty effect. I certainly have created some nice looking fractals with artifacts in them when writing my own code... If I am correct, you can only turn this off with the command line parameter PERIODICITY=no (described below). There is no parameter on the V, X, Y or Z pages to turn this off. [Aside: A quick way to add a command line parameter to a calculation is with Robin Bussell's tiny (15kB) Windows 'front end' to DOS Fractint, called Paste 'n' Go. http://web.ukonline.co.uk/robin.b2/pastengo.htm You can specify any command line parameter in his Setup page as a 'Custom parm'. And of course you can paste (or type in) Fractint parameters and formulas into the text windows. Clicking 'Launch' copies the parameters and formulas to files which it 'feeds' to Fractint in an appropriate way. I use this program (under Win98) often and really like it a lot. Further Aside: I keep viewwindows=4/0.75/yes/0/0 as one of my custom parameters and always have it enabled so any fractal I start calculating appears in a 1/4 screen size viewing window to let me quickly see if things are going well. Then a quick 'v', 'n', 'Enter' starts drawing the fractal at full screen size. I am able to type all three characters without waiting for the text mode View Window Options screen to appear. Thanks again for a great program, Robin!] Note that PERIODICITY=no and PERIODICITY=0 do not do the same thing. Also, note that Ken Shirriff's inside coloring option 'Periodicity' (on the 'X' page and as a command line parameter - see below) determines pixel coloring. This setting/parameter does NOT turn on or off periodicity checking during the calculation of the fractal: "Inside=period colors pixels according to the period of their eventual orbit..." Btw, JoTz, Lee's recommendation of turning periodicity checking off while calculating your 'zoom2' fractal removed the horizontal lines from the image. JoTz's web site is at: http://www.sonic.net/~jot/ Click "The UlÂimaÂe FracÂal Video ProjecÂ!" link at the bottom of the page to see the animations he mentions in the message I quote at the bottom of this email. I am able to see this artifact in both 'Eye Of Hell #2' (very clearly) and 'Triskaidekaphobia'. Although I have not used them, JoTz appears to have written some very nice utilities for use with Fractint. JoTz, If you recalculate an image from one of your zooms would you please let me know whether turning periodicity checking off removes the horizontal lines from the image? Thanks... <--<< Also, what software do you use to combine Fractint's .gifs into an .wmv or .avi animation? <--<< Btw, your http://www.sonic.net/~jot/ufvp.html page is wider than my IE 6.0 browser set to full screen in 1024 x 768 screen size using 'Medium' (default) size characters. It only appears to exceed the screen width where PenÂaGoÂh, KaLieÃesÃope and PyraMid appear side by side in a horizontal row not too far from the top of the page. Nice web site! Here is some info from the Fractint 20.0 docs about periodicity: - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ====================== Fractint 20.0 Docs =========================== 8.2.1 Periodicity Logic The "Mandelbrot Lake" in the center of the M-set images is the traditional bane of plotting programs. It sucks up the most computer time because it always reaches the iteration limit -- and yet the most interesting areas are invariably right at the edge the lake. [Note: 'Lake' ares in other fractals have this same problem - Hal] (See The Mandelbrot Set (p. 35) for a description of the iteration process.) Thanks to Mark Peterson for pointing out (well, he more like beat us over the head until we paid attention) that the iteration values in the middle of Mandelbrot Lake tend to decay to periodic loops (i.e., Z(n+m) == Z(n), a fact that is pointed out on pages 58-61 of "The Beauty of Fractals"). An intelligent program (like the one he wrote) would check for this periodicity once in a while, recognize that iterations caught in a loop are going to max out, and bail out early. For speed purposes, the current version of the program turns this checking algorithm on only if the last pixel generated was in the lake. (The checking itself takes a small amount of time, and the pixels on the very edge of the lake tend to decay to periodic loops very slowly, so this compromise turned out to be the fastest generic answer). ... PERIODICITY=no|show|nnn Controls periodicity checking (see Periodicity Logic (p. 153)). "no" turns it off ... Type lambdafn function=exp needs periodicity turned off to be accurate -- there may be other cases. [And you seem to have found one in your 'zoom2' fractal and your Julia Set zooms -- Hal] ... Note that fractint normally uses periodicity checking to speed up bifurcation computation. However, in some cases a better quality image will be obtained if you turn off periodicity checking with "periodicity=no"; for instance, if you use a high number of iterations and a smooth colormap. ... "Holes" in an image while it is being drawn: Little squares colored in your "inside" color, in a pattern of every second square of that size, in solid guessing mode, both across and down (i.e., 1 out of 4), are a symptom of an image which should be calculated with more conservative periodicity checking than the default. See the Periodicity parameter under Image Calculation Parameters (p. 116). ... inside=atan colors by determining the angle in degrees the last iterated value has with respect to the real axis, and using the absolute value. This feature should be used with periodicity=0 ... Periodicity is a new inside coloring option. Thanks to Ken Shirriff. ... 5.9 Color Parameters INSIDE=nnn|bof60|bof61|zmag|attractor|epscross|startrail|period|fmod|atan Set the color of the interior ... Inside=period colors pixels according to the period of their eventual orbit. ... ====================== Fractint 20.0 Docs =========================== ################################################################# >Date: Sun, 2 Nov 2003 10:24:01 -0500 >From: "JackOTradez" <JackOTradez(a)email.msn.com> >Subject: [Fractint] Re: Hal Lane;"zoom2"" >To: <fractint(a)mailman.xmission.com> >Message-ID: <000a01c3a155$5929ce70$06ec8041@skynet> >Content-Type: text/plain; charset="iso-8859-1" >Hal, >I have seen this effect quite often over the past year; it is quite common >in some Julia Set zooms, when you zoom into the black lake multicolored >horizontal lines appear and finally the lake is filled with color. This can >be seen in some of my animations, such as Eye Of Hell #2 and >Triskaidekaphobia, and especially "Star Gate", which is no longer on my site >(I can put it back up if anyone wants to see it). I also noticed it with >some of the "multifractals" and other "unusual" fractals I have been playing >with. >Up till now I assumed it was a normal, if not understood, fractal >phenomenon, and I have been pulling my hair out trying to figure it out. In >animation sequences, it looks not unlike a "bifurcation" effect. Actually, I >think the effect looks rather cool, especially with zoom animations. >It never occured to me that it could be a "bug", or due to a fractint >version, or a parameter tweak, as Lee suggested. I still don't know that it >is. I will try Lee suggestions; I have not played much with periodicity >setting, so I can tell you nothing about that. However, lowering the >iteration count will often generate a fractal that looks completely >different. >BTW, I made an animation on a variation of the "Julia Rectangle" image, it >is called Bad Trip and it is now on my site. >Stay Amazed! >JoTz ################################################################# --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.534 / Virus Database: 329 - Release Date: 10/31/03

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FOTD 05-11-03 (Total Sorcery [6])
by Jim Muth 05 Nov '03

05 Nov '03

FOTD -- November 05, 2003 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image is a whimsical thing created by adding a lot of just plain Z to a little bit of Z^11. The resulting fractal appears as a tiny Mandeloid surrounded by a galaxy of even tinier satellite Mandeloids. Today's midget is located in one of these satellites in the southeast suburbs of its parent. The midget is quite 'disconnected', or cut off from the main body of its parent, which makes the traditional 'equal-iteration- band' rendering rather dull, and at the same time makes the other 'outside' options worth a look. The 'outside' option that works the best with today's scene is the 'fmod', with the proxim- ity set to a rather high 1.9. This rendering creates a scene of terraces, which for some reason I have named "Total Sorcery". The rating of a 6 might be a bit liberal. Real sorcery, like real magic, is all in the mind, a fact that all true sorcerers admit. But that doesn't make it any less real. Sorcery, which need not be used only for evil purposes, involves a different kind of reality, and it is up to its practi- tioners to shift their awareness to the reality where sorcery is a true fact of nature. (Is not the mind a part of nature?) Fractals are also a true fact of nature, and like sorcery, they exist in a different kind of reality -- the reality of the world of numbers. Luckily, this world of numbers has been made visi- ble through the modern computer. One of these days, someone just might devise a way for computers to make visible the world in the mind where sorcery exists. And then . . . who knows . . . magic might become as real as fractals. It is almost magical that today's image renders in a mere 53 seconds. That is even faster than the time required to download the already-rendered image from one of 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 weather was perfect all day Tuesday here at Fractal Central. The light winds, sunny skies, and high temperature of 80F 26.5C that prevailed are most unusual in early November. The fractal cats took full advantage of the perfection by romping in the yard and sleeping on the porch. Tippy even made a leap at a bird that landed on the railing, but the bird was far too quick, and Tippy went without his tidbit. A bit of tuna eased his disappointment. Today is starting much less perfect. The heavy clouds, fog, and drizzle that moved in overnight are firmly ensconced. The rain that is due later this afternoon will make things only worse. The cats will likely have a bad day. But, if the moderate amount of work now before me goes smoothly, I will finish by 2pm, and my day will be acceptable, especially if I have a good evening in Fractal Land. Check back tomorrow to see how things go. Until then, take care, and where is nowhere? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Total_Sorcery { ; time=0:00:53.66--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-1.008324354763536/-0.2658996081493412/\ 4.908143e+007/1/-97.5/2.4234396733824326e-007 params=1/11/11/1/-0.8/0 float=y maxiter=275 inside=0 proximity=1.9 outside=fmod periodicity=10 colors=000nWPmVQlURkTSjSTiRUhQVhPWhOXhMZhL_gK`gIbg\ HcgFegEfgDggBifAjf9kf7mf6nf5of3qf2re0tgAqiLmlVin_f\ mcbmcZmdekbciaag__eZYcXWbWV`UTZTRXRPVQNTOLSNKQLIOK\ GMIEKHCIFAGD8IGAIHAIIAHKAHLAHMAHNBGPBGQBGRBFTBFUBF\ VBFWCEYCEZCE_CE`CDbCDcDDdDCfDCgDChDCiDBkDBlEBmEBnE\ ApEAqEArE9tFAnFAjGAfHAbJAZKAVLBVNAVLBVKBVKCVJCVJDV\ IEVIEWHFWHFWGGWFHWFHWEIWEIXDJXDJXCKXCLXBLXAMXAMY9N\ Y9OY8OY8PY7PY7QY6RZ5PY7PY8PY8PY9PZAPZAPZBPZBP_CP_D\ P_DP_EP`EP`FP`GP`GPaHPaHPaIPaJQbJQbKQbLQbLQcMQcMQc\ NQcOQdOQdPQdPQdQQeRQeRQeSQeSQfTQfUQfUQfVRgWRf_TfeV\ fkXfqZewZevYduXctXcsWbrVaqV`pU`oT_nTZmSYlRYkRXiQWh\ PVgPVfOUeNTdNScMSbLRaLQ`KP_JPZJOYINWHMXHMUGLTFKSFJ\ REJQDIPDHOCGNBGMBFLAEK9DI9DH8CG7BF7AE6AD59C58B47A3\ 7936825714525726827928928A29B2AB2AC2AD2AD2AE2AF2AF\ 2AG2BH2CI2DI2EJ2FK2GK2HL2IM2JM2KN2LO2MO2NP2OQ2PR2Q\ R2RS2ST2TT2UU2VV2WV2XW2YX } 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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FC2E CD
by Tim Wegner 05 Nov '03

05 Nov '03

I have uploaded an ISO image of the companion CD to "Fractal Creations 2nd Edition" here: http://www.fractint.org/ftp/iso The CD is for personal use, the same as if you had gotten the CD with the book. The offer of sending a copy of the CD to anyone who sends me a self- addressed stamped mailer with a blank CD still holds. Several people have taken advantage of this. My address is in the fractint online help under "Contacting the Authors". To those who mirror www.fractint.org: the main html file has changed, and there's a new ISO directory. The mirror of fractint.org now takes up a lot more space. :-) I have yet to update my own mirror. Tim

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FOTD 04-11-03 (Fractal Arrowheads [7])
by Jim Muth 04 Nov '03

04 Nov '03

FOTD -- November 04, 2003 (Rating 7) Fractal visionaries and enthusiasts: Today's image reminds me of the indian (Native American in PC language) artifacts that are sometimes found in the Fractal Central area. Lots of these are still lying around the area, waiting to be discovered. But it is not a matter of going out and picking up a relic. The difficulty lies in distinguishing the artifacts from the natural stones. It takes an expert to pick out an old arrowhead among the pebbles littering a river bank. There is no such difficulty in today's image. The reddish- orange bits that fill the image and seem to be swirling around the small midget in the center could easily be old arrowheads that have been lying in the ground for hundreds if not thousands of years. They could be, but they are actually fractals. I named the image "Fractal Arrowheads accordingly. The formula Z=(-1*(Z^1.1))+(11*(Z^(-1.11)))+1/C was iterated to create the parent fractal, which consists of two Mandeloids -- a rather intact one on the left, and a rudimentary one on the left, which is partly cut off. Today's scene lies in what remains of the East Valley of the left Mandeloid. Today's scene is unusual in that almost all the outside options work well with it. I chose the 'summ' option because that one impressed me the most when I saw at thumbnail size how it worked. The rating of today's image lies somewhere between 7 and 8. Feeling conservative, I rated it at a 7, though an 8 would have been nearly as accurate. The render time of 11 minutes borders on the excessive. The better way to see the orange arrowheads in today's image is to download it from one of 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> Monday started perfect and stayed perfect all day here at Fractal Central. Cloudless skies, balmy south winds and a temperature of 81F 27C kept the dynamic fractal cats coming and going from 11am until sunset, which comes at 5pm in this part of the world at this time of year. It might be winter in Minnesota, but it's summer in Maryland. Today looks to be another perfect one. The cats are waiting with anxious anticipation. As for me, I've got a couple hours of work to wrap up before I return to Fractal Land. The next FOTD will appear in 24 hours. Until then, take care, and could a fractal ever be complex enough to be considered alive? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fractal_Arrowheads { ; time=0:11:75.43--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.07936380134388553/-0.063807105970711\ 40/2.109278e+009/1/175/-3.97646805857798658e-005 params=-1/1.1/11/-1.11/0/525 float=y maxiter=1800 inside=0 outside=summ logmap=250 periodicity=10 colors=000KDJNEKQFLTGMWHNZIOaJPdKQgLRjMTmNVpOXsP_u\ QbwReyShzUkzWnzYqz_tzawzcwzcwzcwzawzawz_wz_wzYtzYq\ zWnzWkzUgzUczSazSZzSVzVRzYPz`LzcGyaBw_9wY4wU0wR0uP\ 0nS0fS0_S0SS0JS0AU0AW0QZ0Ua0Yd0ag0ej0im0mn0il0ej0a\ i4Yf7UdBQcGMaLH_N0YR2YV4WZ7U`AScCQgEOkHLnJJqLHtLCo\ OHvOJwOLwOOwOSwOUwOWwJ_wOYwQYwSWwWWwYUw_UwcUwdSwfS\ wjQwlQwnQwrOwtOvuLtyLqzJnzJkzJgzHczHazEZzEVzCVzETz\ HRzJPzLNzOLyOIuQGtSEqUBlW9iY7dY4a_1Ya0Uc0Sd0Of0Jf0\ Ei0Aj04l00n00n0Hr0Wu0jy0wz0zy0zz0zz0wz1rz7lzBdzG_z\ LWzRUzPUzNUzLSzISzGSzESzBQz9Qz9Qz7Oz4Oz1Oz0Oz0Lz0L\ z0Lz0Sz0Lz0Ez0Az02z00z10z40z70zE0zL4zPCzVHyZOwcUti\ Yrncqrflvljwqiwnjwnlwnnwlqwlrwlrwltwjuwjwwjyvjyviz\ viztiztfzrfzrfzrfzqdzqdzodzodzoazk_zgYzfWzaUzZQzXO\ zTLzRJzNHzICzGAzB7z74z42z00z04z0Az1Ez4Jz7Oz9SzBWzE\ _zGczIfzLjzNnzPrzRuyTyyVzyXzyZzy`zwazwczwfzwgzzfzz\ gzzizz0zz0zz0zz0zz0zz0zz0 } 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 03-11-03 (Retweaked Midget [8])
by Jim Muth 03 Nov '03

03 Nov '03

FOTD -- November 03, 2003 (Rating 8) Fractal visionaries and enthusiasts: When I opened my e-mailbox this morning, the usual load of junk was there, which I immediately discarded. But I also found a letter from the Fractint list, in which Hal Lane shows a midget that he found near yesterday's FOTD. Though the scene resembles yesterday's, the midget is quite attractive, and worth being touched up a bit to become the FOTD for today. But before discussing the image, I would like to answer the questions asked in Hal's letter. First, I find my color maps by using the 'enter' and function keys generously. Then, when a potentially good color map appears, usually by accident, I fine- tune the registers by hand. This can easily be done with the 256 colors of the GIF format. It is a bit more difficult, at least for me, with the gradients that must be used with true- color formats. Second, Hal's spell-checker is mis-informed. ;-) My name is correctly spelled 'Muth'. It is a German name. In Germany, it is pronounced 'moot'. In english-speaking countries, it can be pronounced mooth, to rhyme with tooth. It is not pronounced 'mewth' as the fractal cats address me, nor is it pronounced 'muhth' as though the final 'st' of 'must' were changed to 'th'. These two mispronunciations tell me that the voice on the phone is most likely a telemarketer trying to sell me something. To get today's image, I took Hal's image, did a modest outzoom and rotated the midget to the 'normal' position, with the main stem facing west. Then I noticed that several spurious holes appeared in the image. This could be corrected by resetting the logmap to 1, but doing this changes the colors too much. I decided instead to raise the proximity value from 0.4 to 0.53, which just barely closes the holes. Then I noticed a few minor irregularities in the color map, which I adjusted to make the map a bit smoother. I did this by equalizing the increments between bands by hand. The effect is subtle and is most noticeable where the yellow blends into the red and green. To conclude my tweaking, I reduced the maxiter to 1000, which cut the render time notably without degrading the definition of the midget. Since the scene is basically a repeat of yester- day's, I gave it yesterday's rating of an 8. The image is basically a tweak of a tweak, so I named it "Retweaked Midget". The 1-1/2 minute render time of the parameter file is very fast. But the download from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> might be a bit faster. The weather was absolutely perfect here at Fractal Central on Sunday. The sun shone brilliantly, the temperature reached 79F 26C, and the wind was light. True, in the afternoon, I was abducted and taken to one of the local antique emporiums, where we browsed for a couple hours, but with such a beautiful day surrounding me, even that was almost fun. The duo of fractal cats had a full morning and a late afternoon in the yard, so there were no complaints from them. The day ended peacefully, with everyone watching for more abductions on the sci-fi channel. The day is starting near perfectly once again. I have high hopes of it remaining so until evening. The next in the endless series of FOTD images will arrive in 24 hours, so until then, take care, and one good tweak is worth another. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Retweaked_Midget { ; Time=0:01:39.46--SF5 on a P200 reset=2002 type=formula formulafile=allinone.par formulaname=mandelbrotmix4 function=ident passes=1 center-mag=-2.03524527280745500/-0.010778095131324\ 12/941.8878/1/130/6.8422719449665e-006 params=1/2.\ 03/-0.2/2.97/0/0 float=y maxiter=1000 inside=0 proximity=0.53 outside=fmod periodicity=10 colors=000EKaGM`IO_KQZMSYOUWQWUSYSU_QWaOYcM_eKagIc\ iGekEilAlm1mm4ll6kj8khAjfDjdFibHi`JhZMhXOgVQgTSfRV\ fPXeNZeL`dJbdHdcFgcDibBkc9lb7ma5la3k`3j_4i_4hZ5gY6\ fX6eX7dW8cV8bV9aU9`TA_TBZSBYRCXQDWQDVPEUOFTOFSNGRM\ GQLHPLIOKINKIMJJMJJLNJOQIRUITXHW`HZcH`gGcjGfnGiqFk\ tFnwFptGmrGjoGhmGejHchH`eHZcHWaHTZHRWIOUIMRIJPIHMI\ EKJBHJ8FJ6CJ3AJ19J29I38I37H46H56G55G65G6CHDJIKQJRX\ KY_NabKc_HdWEeCBf38g58e78d98bA7`C7_E7YG7XI7VK7TM7S\ N6QP6OR6NT6LV6JX6IZ6G`6Fb6Dd6Bg10f6AeBJcGTbLaaQjZP\ iXOhUNgSNfQMeNLeLKdJKcGJbEIaCH`AH_8GZ6GZ3FY1EX6K_B\ QcFVfK`iPflTkoRhkQegOcdM``LYXJVTHSPGQLENHDKDBH9AF6\ AHBAJGAKLAMQANVAP_ARdASiAUmAVrDTqHQoKOnNLlRJjUGiXE\ g_Cf`CdaCcbBacB_eBZfBXgAVhAUiASjAQkAPlANnAMo9Kp9I`\ VGbUFaUF`VG_VGZWHYWHXXIWXIVYJUYJTYJSZKRZKQ_LP_LO`M\ N`MMaNLaNKaOJaOIbPHbPGcQFcQGbKFcPFeVEg_EieDkj5mmDo\ oMqgLshKphKnhJlhJjhIhhHfi } 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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Another midget in the FOTD for 03-11-02 (Nov 2,'03)
by Hal Lane 03 Nov '03

03 Nov '03

For those who like their Mandelbrot midgets more clearly defined I found a larger one near Jim Muth's Fractal of the Day for Nov 2, '03, 'Rainbow Vision'... This fractal calculates relatively quickly. Jim, That's quite a cheery color map! How did you happen to come up with that one? <--<< BTW, my spell checker says that you've been spelling your last name wrong all this time -- its actually supposed to be: 'Moth'... ;-) - Hal Lane START 20.02 PAR-FORMULA FILE================================ A_Bigger_Midget{ ; Another midget in the Nov 2,'03 FOTD ; Version 2002 Patchlevel 4 ; Hal Lane reset=2002 type=formula formulafile=_pastarc.frm formulaname=mandelbrotmix4 function=ident passes=1 center-mag=-2.03526564794305300/-0.01076099836157466\ /1216.695/1/157.4999928593476/1.06854042177251252e-0\ 05 params=1/2.03/-0.2/2.97/0/0 float=y maxiter=5000 inside=0 proximity=0.4 outside=fmod periodicity=10 sound=off colors=000Kph<3>IhhHfiHdi<3>E_iEZjE_iI`gLaeGcYSdU<3>\ ekEilAlm1mm4ll6<12>eIZeF`dDb<2>c5ib3kc0lb1m<22>NGRMG\ QLHPLIOKIN<2>JJL<4>`HZcH`gGc<3>tFnwFptGm<6>cHWaHTZHR\ WIO<3>MIEKJBHJ8FJ6CJ3AJ1<3>7H46H56G55G65G6<3>XKY_Nab\ Kc_HdWEeCBf38g<13>T6LV6JX6I<3>d6Bg10<3>bLaaQjZPi<8>E\ IaCH`AH_<3>1EX<3>K`iPflTko<5>JVTHSPGQL<2>BH9AF6AHB<3\ >ANVAP_ARd<2>AVr<3>NLlRJjUGiXEg_Cf<8>iASjAQkAP<3>p9I\ `VGbUF<17>LaNKaOJaO<2>GcQFcQGbK<4>Dej5TwDeoMugLsh } 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 20.02 PAR-FORMULA FILE================================== ######################### # hallane(a)earthlink.net # ######################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.534 / Virus Database: 329 - Release Date: 10/31/03

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Re: Hal Lane;"zoom2""
by JackOTradez 02 Nov '03

02 Nov '03

Hal, I have seen this effect quite often over the past year; it is quite common in some Julia Set zooms, when you zoom into the black lake multicolored horizontal lines appear and finally the lake is filled with color. This can be seen in some of my animations, such as Eye Of Hell #2 and Triskaidekaphobia, and especially "Star Gate", which is no longer on my site (I can put it back up if anyone wants to see it). I also noticed it with some of the "multifractals" and other "unusual" fractals I have been playing with. Up till now I assumed it was a normal, if not understood, fractal phenomenon, and I have been pulling my hair out trying to figure it out. In animation sequences, it looks not unlike a "bifurcation" effect. Actually, I think the effect looks rather cool, especially with zoom animations. It never occured to me that it could be a "bug", or due to a fractint version, or a parameter tweak, as Lee suggested. I still don't know that it is. I will try Lee suggestions; I have not played much with periodicity setting, so I can tell you nothing about that. However, lowering the iteration count will often generate a fractal that looks completely different. BTW, I made an animation on a variation of the "Julia Rectangle" image, it is called Bad Trip and it is now on my site. Stay Amazed! JoTz

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FOTD 02-11-03 (Rainbow Vision [8])
by Jim Muth 02 Nov '03

02 Nov '03

FOTD -- November 02, 2003 (Rating 8) Fractal visionaries and enthusiasts: I got quite a shock this morning when I opened my e-mail box. Among the hundred or so letters destined for immediate deletion I found one with the subject 'jamth, I met your mom last night xvztgsh hltbrs'. I was both shocked and elated. My mother has been dead over 10 years, which meant that spirit communication with the dead through the internet must have at last been achieved. But my wonderment did not last long. When I opened the letter, off-line of course, my web browser came up, and a message appeared telling me that the server could not be found. My disappointment was beyond words. The whole letter was just a ruse to lure me to a web site where someone wanted to sell me something I neither needed nor wanted. I drowned my sorrow in a glass of orange juice. ;-) Today's image however is no disappointment. It is a scene in the fractal that results when 0.2 parts of Z^2.97 are subtracted from Z^2.03 before C is added. In this fractal, the infinite splitting that normally occurs on the negative stem of a fractal such as Z^2.01+C occurs on a spurious stem that has magically appeared in the 'East Valley' area. This area of today's parent fractal is interesting enough when rendered with the normal equal-iteration-band method, but it is really outstanding when rendered as it has been in today's image, with the 'fmod' outside option with the proximity value set to 0.4. I named the image "Rainbow Vision" because of its rainbow-like palette of colors. The rating of 8 is justified, as will become obvious 2-1/2 minutes after the parameter file is started. And one of those 2-1/2 minutes can be knocked off the waiting time by going directly to Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or to Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> and downloading the completed image from there. Near perfect weather on Saturday made for near ideal cats. The sunny skies and temperature of 81F 27C were perfect for cats and man alike. Both enjoyed an afternoon of doing little in the yard. When evening came, (and it comes early at this time of year), the duo were ready to eat, and the man was ready to venture into Fractal Land. The day ended peacefully with a junky old sci-fi 'creature' movie on the TV. Today is starting just as pleasantly. If all goes well, the day will be as pleasant as yesterday. If not -- well, that's a different story. But regardless, 24 hours from now, another fractal will appear from nowhere. Until the next apparition, take care, and be kind to your fractals, for you might come face to face with one in the next world. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Rainbow_Vision { ; time=0:02:28.96--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-2.035785276340843/-0.01093006104338/10\ 0742.8/1/-122.5/-1.11086558701734e-009 params=1/2.\ 03/-0.2/2.97/0/0 float=y maxiter=500 inside=0 proximity=0.4 outside=fmod periodicity=10 colors=000KphKnhJlhIjhIhhHfiHdiGbiFaiF`iE_iEZjE_iI\ `gLaeGcYSdUWeQZgMbiIekEilAlm1mm4ll6lj8khAkeDjcFj`H\ iZJiWMhUOhSQgPSfNUfKXeIZeF`dDbdAec8gc5ib3kc0lb1ma2\ l`2k`3j_4iZ4hZ5gY6fX6eX7dW7cV8bU9aU9`TA_SBZSBYRCXQ\ DWQDVPEUOETNFSNGRMGQLHPLIOKINJJMJJMJJLNIOQIRUITXHW\ `HZcH`gGcjGfnGhqFktFnwFptGmrGjpGhmGekGchH`fHYcHWaH\ TZHRWIOUILRIJPIGMIEKJBHJ8FJ6CJ3AJ19I28I38H37H46H56\ G55G65G6CHDJIKQJRXKY_NabKc_HdWEeCBf38g57e77c97bB7`\ D7ZF7YG7WI7VK7TM7RO6QQ6OS6MT6LV6JX6IZ6G`6Eb6Dd6Bg1\ 0e6AdBJcGTbLaaQjZPiXOhVNgSNfQMeOLdLKcJKcHJbEIaCH`A\ H_7GZ5FY3EX1EX6K`BQcFVfK`iPflTkoRhkPegObcM`_LYWJVT\ HSPGQLENHDKDBH9AF6AHBAJGAKLAMQANVAP_ARdASiAUnAVrES\ pHQoKNmNLlRJjUGiXEg_CfaBdbBbcBadB_eBYfBXgBVhATiASj\ AQkAPmANnALoAKp9I`VGbUFaVG`VG_WHZWHYWIXXIWXJVYJUYJ\ TYKSZKRZLQ_LP_MO_MN`NM`NLaNKaOJaOIbPHbPGcQFcQGbKFc\ QFcVEd_EdeDej5TwDeoMugLsh } 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 01-11-03 (Rebirth of the FOTD [7])
by Jim Muth 01 Nov '03

01 Nov '03

FOTD -- November 01. 2003 (Rating 7) Fractal visionaries and enthusiasts: I named today's image "Rebirth of the FOTD". Actually the name is kind of a misnomer, for the FOTD has never really died. It merely slowed down a bit while I was catching up on the work that had fallen behind during the previous month. But the work is now up-to-date, and the FOTD is back on track. Today's rather baroque-looking fractal is a not-bad resumption. It is an 'evaporated' scene in the fractal that results when 9 parts of Z^(-0.9) are combined with one part of Z^(-9) and (1/C) is added rather than plain C. The scene is then 'evaporated' by raising the escape radius to one-googol, resulting in a screen of nothing but 'trapped' 'inside' points. The blank screen is then re-rendered with one of the dynamic inside-fill options. In today's case the 'bof61' inside fill works best. Trying to decide on a rating for the image was no problem. IMO, it is clearly fancy enough and different enough to be considered above average, which requires a rating of a 7. With a few interruptions, the FOTD has been ongoing for 6-1/2 years, but in that time I have never posted a fractal honestly worthy of a 10. I have posted a few 9's, and I did once post an image of the Mandelbrot set, which I rather artificially rated at a 10. The rating was justified. After all, the M-set is rather the perfect fractal, to which all others must be compared. But I have never posted another image that rated a 10. Perhaps I never will post an image that rates a 10. To rate an honest 10, an image must honestly be 'the best of all time'. Since rating fractals is such a subjective thing, and I want to avoid the 'grade inflation' like that which is afflicting so many of our schools, an image would need to be truly supercalli- fragillisticexpialidocious to move me to give it a rating of 10. But the goal of a perfect 10 still remains. And who knows? One of these days or years, I might achieve it. Today's image may be viewed by saving this letter as a text parameter file and then running it in Fractint and waiting 6 minutes, or by downloading the completed image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Friday was a near ideal Autumn day here at Fractal Central, with the blue of the sky being marred by only a few unusually dense cirrus clouds. Accompanied by light winds and a temperature of 70F 22C, these conditions gave the cats a comfortable afternoon in the yard. At one point, a small flock of starlings settled in a nearby tree. When Thomas saw them, he chattered at them, but the birds flew away and the day ended peacefully. Today is again starting near perfectly, with only a few scraps of work lying around waiting to be done. I should have plenty time to find a fractal to knock your socks off. But if I do, I'll then need to find one to put the socks back on. And I am currently reading a newly released book titled "Consciousness -- a user's guide". It should supply action on the philofractal list in the not-too-distent future. But before then, I shall return in 24 hours with fractal action. Until tomorrow, take care, and where will it all end? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Rebirth_of_theFOTD { ; time=0:06:34.64--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.95208506849724700/+1.024358072558484\ 00/259242.9/1/20.0000000007082015/-1.4442258847169\ 3203e-009 params=1/-9/9/-0.9/-0.9/1e+100 float=y maxiter=750 inside=bof61 periodicity=10 colors=000FjfHlcJn`LoZQjbUefYaiaXmeTpiOtmKwjOphRie\ UbcXWa_Qb`Tb`Wb`Yba`bacbaebbhbbkbbmaci`df_ecZf`YgY\ XhVWiSVjPUkMTlJSmGRnDQoAPo7NmHMkRLi`KgjJftLdrMcpNa\ nO`mPZkQYiRXgSVfTUdUSbVR`WQ_XPZXOYYNXYMXZLWZKV_JU_\ IU_HT`GS`FRaERaDQbCPbBObAOdGReLTfQVhWYi`_jeaZUjNIs\ MIrMIrMIrLIrLIrLIrKIrKIrKIrOGa`Y_ieQqmHyu8vp7tl7qh\ 6od6oe7of8og8oh9oiAojAojBokColComDonEooEopFopFmiGk\ cGjXGhRHgKHeEHd8H09V5FPALKFRFJWAMYDPZGR_JUaMWbOZcR\ adUcfXfg_hhakidnkgpljsmmunoYgjAafB_gCYhDWiDUjETkFR\ lGPmGNmHLnIKoJIpJGqKErLCsLBsOErQHqSKqUNpWQoZTo`Wnb\ Ynd`mfcliflkikmljoojqristioujkujhujduk`ukYukUulRul\ NulJumGumCum9umBrmDpmEnmGlmHjmJhmLfmMdmObmP`mRZmTX\ mUVmWTmXRm_UjaWgcZde`bgc_ieXkhUmjSlgQkdPjaNj_MiXLh\ UJgRIgPHkOGnOGrNFuNFpOGkPHgQIbRJZSKUTLQTMNQELO7jNX\ dR_ZVaTZdObfIfiCjk6nn1qp4pq6pr8psAptCpuEpvGpwIpwGk\ iEgWCcJBaMA`P9_S9eoBglDii } 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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