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FOTD 20-12-01 (HyperMandel Madness [5])
by JimMuth＠aol.com 20 Dec '01

20 Dec '01

FOTD -- December 20, 2001 (Rating 5) Fractal visionaries and enthusiasts: On Tuesday, Jon K. posted a letter to the Fractint list, commenting on the FOTD of December 17, which is a scene in the hypercomplex Mandelbrot set. In the letter he asked whether an easy way exists to find the locations of the top layer and bottom layer in the hypercomplex set. This question is more complex than it seems. To start, the appearance of different layers in the FOTD of December 17 is an illusion. The hypercomplex M-set is 4-dimensional indeed, but only a single 2-dimensional slice of it can ever be displayed by the hypercomplex formula. (The julibrot formula can display 3-dimensional slices.) What is happening in the 12-17 image is that the hypercomplex figure has been sliced in an area where different parts of it are merging, actually trying to occupy the same points of hyperspace, with the higher-iteration features being obliterated by the lower-iteration features. In the 12-17 image, we are not looking through an eroded Mandelbrot shaped hole at features that lie on the other side, we are seeing all that remains of the higher-iteration features, the rest having been obliterated by the surrounding low-iteration stuff. Jon asked whether I know of an easy way to find scenes such as 12-17's. The answer is no. Both 'layers' move in an unpredictable manner as the parameters are changed. The only way I know to find such scenes is to track them down by trial and error bracketing and to fine-tune the image with the Fractint evolver. As I noted in the 12-17 discussion, the hypercomplex formula of Fractint does not draw all possible slices of the hypercomplex Mandelbrot set. The formula I wrote for today's image draws more, though not all slices. Today's formula has a drawback however in that the periodicity must be shut off in order for it to work correctly. The p3 parameter of today's HyperMandelbrot formula works the same as the cj and ck parameters of the hypercomplex formula. (I have no idea what the unused parameters of the hypercomplex formula are eventually supposed to be used for.) The p1 parameter of today's HyperMandelbrot formula works roughly the same as varying the initial Z parameters of the Mandelbrot set. The p2 parameter does strange things indeed, things that are almost unbelievable. Since it alters the effect of the other parameters, it is changed only at the risk of the user. Enjoying risk, I set it to 0.5 for today's image, and when I set p3 to 0.008, just look at what it did to our Mandelbrot set. I named today's image "HyperMandel Madness" as a poetic description, and rated it at an average 5. With a running time of 12 seconds, today's parameter file is virtually instantaneous. As always, the completed GIF image is also available at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> With a little more sun and a little less wind, the fractal weather Wednesday was somewhat improved over the day before, but the dynamic duo still would have preferred a temperature of 77F 25C rather than the 54F 12C that actually happened. They were in a surly mood until the sound of some stray cats fighting somewhere in the brush sent them dashing to their lookout shelf by the window, where they spent more than an hour. Then, when their evening mealtime arrived, they completely forgot their troubles. It's now time to accomplish something a bit more practical. Until next time, take care, and don't get hyper. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ HyperMandelMadness { ; time=0:00:12.14--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot center-mag=-0.546672/1\ .33227e-015/0.9318636 params=0/0/0.5/0/0.008/0 float=y maxiter=480 inside=0 logmap=yes periodicity=0 colors=000KAcKAbKAaKA`KA_KAZJAYIAXHAWGAVFAUEATDASC\ ARBAQAAP9AO8AN7BM6AL6AK000AQlBSlCTlDVlEWlFYlGZlG`l\ HblIclJelKflLhlMilNklNllR`lVPmZDmb1ma4na6n`8n`Ao`C\ o_Eo_Go_IpZKpZMpZOpYRqYTqXVqXXrXZrW`rWbrWdsVfsVhsV\ jsShpPgmMfjJegGdeDcbAb_7aX4`U2_S3aQ4cO4eM5gK6iI6kG\ 7mF8oD8qB9s9Au7Aw5By3Bz2Ew5Gu7Is9KpBMnDOlFRiITgKVe\ MXcOZ`Q`ZScXVeUXgSZiQ`kObmLdpJgrHitEkvCmxAom8qcSoP\ RpUQpPPpKOpFNpKMpGLpIKpKJpMIpOHpQGpSFpUEpWDpYCp_Bp\ aBpcEneGlgIjiKhkMfmOdoQbqT`sVZuXXwZVy`TzbRzdPzfNzg\ PzgQzhSzhTziVziWzjYzjZzk`zkazlczldzgbzcaz__zWZzRYz\ NWzJVzFUzKRzPOzTLzYJzaGzfDzjBzfDzcEz`FzYGzVHzSJzPK\ zMLzJMzGNzFRzFUzEYzE`zDdzDgzDjzFhzHgzJfzLezNdzOczQ\ bzSazU`zW_zXZzZ_z`_zb_zd_zf_zh_zj_zk_zm`zo`zq`zs`z\ u`zw`zy`zz`zz_zz_zzZzzZzzWzzTzzQzzNzzKzzHzzEzzBzz8\ zz5zz2zz0zzBzzLzzVzzdzzbzz`zzZzzXzzVzzUzzSzzQzzOzz\ MzzLzzFzzPzzQzzRzzSzzTzzU } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END 20.0 PAR-FORMULA FILE==================================

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Re: (fractint) Re: Comments Re: FOTD 11-12-01 (Cosmic Lyres [5])
by bmc1＠airmail.net 19 Dec '01

19 Dec '01

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Fractal Art FAQ
by Jean-Pierre Louvet 19 Dec '01

19 Dec '01

The new version (1.6) of the FAQ is on the following servers: http://fractals.iuta.u-bordeaux.fr/f-art-faq/ http://www.fractalus.com/fractal-art-faq/ and it will be soon at http://www.fractovia.org/F-art-faq/ If you have suggestions to improve the FAQ, to add new information... you are welcome. Mail me at: F-art.FAQ(a)hse.iuta.u-bordeaux.fr ------------------------------------------------------------------------- J.P. Louvet | Phone : (33)05-56-84-58-35 IUT Universite Bordeaux 1 | 33405 Talence CEDEX France | email : louvet(a)hse.iuta.u-bordeaux.fr ------------------------------------------------------------------------- Fractales sur serveur Web IUT Universite Bordeaux 1 : http://fractals.iuta.u-bordeaux.fr -------------------------------------------------------------------------

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FOTD 19-12-01 (7-Up [5])
by JimMuth＠aol.com 19 Dec '01

19 Dec '01

FOTD -- December 19, 2001 (Rating 5) Fractal visionaries and enthusiasts: I recently belittled the high-order Mandeloids, and fractals in general of high order. Despite the harsh words of a few days ago, I ventured yesterday into the Z^7+C Mandeloid to convince myself it actually holds nothing worthwhile. To my surprise, I found a fractal worth being declared FOTD for December 19. There is not much to be said about the scene, which is just another midget, (midgets are sometimes called 'atoms'), in a fractal brimming with easy-to-find midgets. The midgets are so plentiful in fact that seven smaller ones are clearly visible around the large central midget. Because of its humdrum, routine appearance, today's image can be rated no higher than a 5, and even the rating of 5 is stretching the image's worth. But it's still worth a quick glance. The name of "7-Up" is totally whimsical, and based entirely on the exponent of Z. It has no connection to the well-known soda. The render time of 13 minutes is a bit too slow to make running the parameter file the best way to see the image. A more practical way is to download the completed GIF image from the W.W.Web at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Tuesday here at Fractal Central was partly sunny but very windy. The temperature of 54F 12C felt much chillier in the winds, which reached 45mph 70kph in gusts. The fractal cats stuck their noses outside only long enough to hear the wind roaring in the bare trees, feel the chill, and realize that they would not enjoy life outdoors. They forgot their troubles in long afternoon naps by their favorite radiators. The temperature is about the same today, but with less wind, the dynamic duo should be happier. As for me, I'll be happier when the work is finished, and to get the work finished it must first be started. Until tomorrow's FOTD, take care, and keep your head in the stars but your feet on the ground. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ 7-Up { ; time=0:13:28.01--SF5 on a P200 reset=2002 type=formula formulafile=slices.frm formulaname=MandelbrotN7 passes=1 center-mag=+0.12\ 398229846480030/+0.95007839467855430/8.435287e+011 params=0/0/0/0 float=y maxiter=64000 inside=0 colors=000EbfF`eHZcJXaKV`MTZNRYPPWRMUSKTUIRVGQXEOZ\ CM_ALa8Jb6Id4Ge2F`BIXJKTRMO_OKgQGoSDhUBbW9XY6R_4La\ 2Fc4Id5Ke6Mf8Og9QgAShCUiDWjEZjF`kHblIdmJfmLhnMjoNl\ pOnpNknMilLgkKeiJbgI`fHZdGXbFVaFS_EQZDOXCMVBKUAHS9\ FQ8DP7BN79MADPDHRFKUIOWKRZNV`PYcSaeVehXij_nmarodwr\ fztbuoZqjVleShaOdXKaSGYNDVJ9RE5O92L5AI8IFAQCCX9Fd6\ Hl3Js0Lq1Qo2Vm3Zl4cj5gh6lg6p`7lV8hO9dI9`KDWLGRNJMO\ NHQQCRT7SW3NQEIKODFZ89r44z88tBCpEGlHJiLNfORcRUdUYe\ Yaf`dgchhflgjofmsepwdszdqvcprbonank`mg_kc_j_ZiXYhT\ XgPWeLWdIVcEUbATa6S`3Sa6Rb8QcBPdDPeGOfINgKNhNMiPLj\ SKkUKlXJmZIn`IoZOoYTpXYpVbqUgqTlqSqnUrkWrhYre_rbar\ _crXdrUfrRhrOjrLlrInrFprDqrCrpCrnCrlCrjCriCsgCseBs\ cBsaBs`BtZBtXBtVBtTBtSGjZKaeOSlSJrVIsYHs_GsbFseEsg\ EsjDsmCsoBsrAstAspFkmJcjNWfROcVG`Z9ZYDXYGVYJUXNSXQ\ QXTOXWNW_LWbJWeHWhGVlEVoCVrBVuGRrKOoPLlTIjXFgaCde9\ ai6_cCVYIRSONMUJG_FAeBCdh } frm:MandelbrotN7 {; Jim Muth z=p1, c=p2+pixel: z=z*z*z*z*z*z*z+c, |z| <= 16 } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] FOTD 17-12-01 (Inside-Out Midget [7])
by the_juggernaut＠juno.com 18 Dec '01

18 Dec '01

> I named today's image "Inside-Out Midget". I decided on the > name because the inside of the almost-midget is composed of > outside material. Wouldn't that make it an outside-in midget? ;) > With time enough, I could have found parameters that would have > had a smaller midget appear inside the larger midget. How would one do that? I've seen similar midgets in the hypercomplex M-set, and I've noticed that simply changing cj and ck shifts the "top layer" horizontally and vertically. Is there an easy way to find the locations of the "top layer" and "bottom layer" in the regular M-set? I especially enjoy julibrot, hypercomplex, and other higher-dimensional fractals. In case you take requests for fotd, I would like to see more of these types. BTW, this one should have been an 8. jon k. ________________________________________________________________ GET INTERNET ACCESS FROM JUNO! Juno offers FREE or PREMIUM Internet access for less! Join Juno today! For your FREE software, visit: http://dl.www.juno.com/get/web/.

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FOTD 17-12-01 (Inside-Out Midget [7])
by JimMuth＠aol.com 18 Dec '01

18 Dec '01

FOTD -- December 17, 2001 (Rating 7) Fractal visionaries and enthusiasts: I named today's image "Inside-Out Midget". I decided on the name because the inside of the almost-midget is composed of outside material. The midget itself is located in the East Valley area of a larger midget, which lies on a north filament of the main bud of the M-set. The midget's pattern starts out well enough around the edges, but is overwhelmed by intruding foreign matter before the midget itself appears. The spot where the midget should be found is apparent, but no midget is there. What has happened is that the scene does not lie in the classic M-set, but rather in the Hypercomplex M-set, which is a four-dimensional slice of an eight-dimensional Julibrot. Though it cannot be visualized, this hyper-M-set can be sliced in many places and in many directions. (Not all slices and directions can be drawn by the Fractint hypercomplex Mandelbrot formula as it is presently written.) Some of these slices cut the hyper-set in places where it pinches off, causing different parts to appear to overlap. When features with different iteration values overlap, the features with the lesser value will always prevail. In today's image, the lesser-valued outer elements of the midget prevail until the iterations exceed the value of the elements that are overlapping, at which point the intruding elements take over. (The intruding elements are from a point close to the shoreline at the northeast side of the main bay of the M-set.) As a result, we have a midget on a filament of the main bud of the M-set with a different part of the M-set showing through its open center. With time enough, I could have found parameters that would have had a smaller midget appear inside the larger midget. Unfortunately, press time is here, and that surprise will have to wait until another day. But the image as it stands is worth a 7 IMHO, and its render time of 19 minutes can be escaped by downloading the completed GIF image from the W.W.Web at either: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather was mostly cloudy and chilly Sunday here at Fractal Central. The mood of the fractal cats was just as chilly when they came to me, complaining about the temperature of 43F 6C and their inability to be comfortable outdoors. I told them that I was not responsible for outdoor conditions, but they did not forgive me until I treated them to an unexpected dish of tuna. The hour has now come for me to get busy on other things. So until next time, take care, and see you in 24 hours. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Inside-Out_Midget { ; time=0:19:19.09--SF5 on a P200 reset=2002 type=hypercomplex function=sqr passes=1 center-mag=-0.45685252523046350/+0.379672166837133\ 40/5.758829e+008/1/-170/-7.55939936529503864e-007 params=0/0/0/-0.8 float=y maxiter=10000 inside=0 logmap=354 colors=00000700800900A00B01C02D03E04F05\ G06G07H08H29I5AI8BJBDJEFKHHKKJKPLQTNXXPd`Wgdcohjql\ mzchnV_hNSIHOFBKC5G90D7KWAbnCSoTIpi8pyIsrSvkaxdXqh\ TkkPenLZqHTtDNw9HzCVoEhdGuVEk_CbdATh8Km7BqFDkNFeVH\ _bIU`HQ_GNYFKXEHWDEUCBTB8SA5_lHekKjjMpiOuiQrcQpYQm\ SQkMQhGQfBQZT_SiiLzsJmmHagFPaEDXU_PhvIVuKUxFOpNIhU\ C``PYd`VhmSlyPpzSlzVhzYdz_`xXdwUguSjtPnrNqqKtpIwgH\ kZH_QHOIHDdPFzWHYMX5Ck9PnCapFmrNlsUlt`ktgkunjvujvq\ dqnZlkTggNbdHYaBTZ6PXEWVLbTSiSZpYcrchsimuorvuvwqvs\ mvoivkewhhsejnblh`n`YpUWnUTmUQlUNkUKiUHhUEgTBfS9ZK\ 5SD1JRVBcxDenEfdFgVGhLHiBJjKLkSNl_PmgQnoWej`YfgK`m\ kVtrPzxJngHbRFRBEJSOCgY5wg6tb7rZ8oV9mRAjMBhICeECcA\ GbFKbJOaOSaSfeXth`taWtVRtONtHItADt39o5Fk6Kg7Pc8UMB\ mZ9ZVAcRBh2MH8JQDHYIEeZFAWEK1IH1834BE7EOAHYDKgGNqH\ QiHTbHVWIYPI_IIbBId4L`9OXDQTHTQLWMPYIT`EXbB`nBkyBu\ 3hyAejHbXO_JVY5YXH_WTbWcdVofVzcWp`Xf } END PARAMETER FILE=========================================

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FOTD 18-12-01 (Old Lace [6])
by JimMuth＠aol.com 18 Dec '01

18 Dec '01

FOTD -- December 18, 2001 (Rating 6) Fractal visionaries and enthusiasts: It's 10am Tuesday and all is well here in Fractal Land. The sun is shining, the dynamic duo is sleeping, and the neighborhood is at peace. It's a good day. Not a single thing has gone wrong. Of course, we have not yet had time for much to go wrong, so we must not be prematurely optimistic that it will still be a good day when nightfall arrives. The fractal of the day, which I found Monday evening, is a modest success. I named it "Old Lace", intentionally leaving out the arsenic. I chose this name when I noticed the dusty colors and appearance of loosely draped lace cloth. The parent fractal is an indescribable, multi-lobed thing standing on its nose, with an arc of bizarre midgets along the outer perimeter of an area of chaos on its east side. Today's scene is located in a valley of the most prominent of these midgets. The rating of 6 might be a bit conservative, but a 6 I have decided on, and a 6 it shall remain from today until the last red dwarf star stops shining. Then, if I'm still around, I might raise the rating to a 7. The render time of almost 17 minutes is rather slow, making the image download the wise choice. The download can be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Monday remained cloudy and chilly, with a maximum temperature of 52F 11C, which is actually a few degrees above the normal for this time of year. The fractal cats, who neither know nor care about normals and prefer their temperatures summer-like, were unhappy. They would prefer that I install a heat-lamp on the porch, but they'll have to settle for tuna or turkey. For now, it's time to tackle the tail end of the pre-holiday rush, and get it out of the way. Until next FOTD, take care, and if only we knew all the things we don't know . . . Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Old_Lace { ; time=0:16:55.74--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.47095225017754700/-0.000290787801752\ 98/82093.39/1/-142.499999992056587/-8.026038100100\ 71861e-008 params=-1/-14.44/-10/-1.444/0/525 float=y maxiter=4200 inside=0 logmap=273 colors=0000CO1DP4FQ7GSAITDJXGLYJM_MO`PPaSQcVSdYTf_\ Vi`XjcYmd_of`riasjcvldxofzpgzrizujzvlzxmzvjzvizugz\ udzuczsaxs`vsYurXrrVprTopQlpPjpOioMfoJdoIcmG`mF_mC\ YlAVl9Tl7SlAXlD`mGdmJioMmoProSvpVzpYzp`zsXzuTzvPzx\ MzyIzzFzzCzz7yz4yz0xz0vz0vz0uz0uz0vz0xz0yz3zz6zzAz\ zDzzIzzMzzPzzTzzXzy`zyczxfzxizvjvvmoupiurcroaolali\ ajgagd`da`c```Y`YV_XT_TQ_QO_PMYMJYJGYIFYLIXMJVOLVP\ MTSOSTQSVSQXTQ_VP`XOa_Oc`MfaLgcLidJjfJsgYzilzjzzjz\ zizugzjgz`fzQfzGdz7dzDfuIgpMglQigVja_jYclTgmPlmLpo\ FupAyp6zr1zr0yl6rgFjaMaYVVScOOjJGcG9XD3QDG_DSgDcpD\ oyJirPclVYf`S`fMVjIPlJQmJSmJSoJTpJVpLVrLXsLYsLYuL_\ vM`vM`xMayMcyMcvP`uS_sVXrYVp`SocQmfOlgMz0Ay07x04v0\ 1u00s00r00p00o00o00JO70rQ0sP0uO4vOAxMGyLMzLSzJYzIc\ zIizGozFuzFzzDzzDxzJrzPlzTdz__zdTziMzoGzuAzyzzMzzS\ zzYyzaxzgvzmszrrzxpzzGzzVzzazxizupzszzmzzizzfyzcuz\ `ozYjzVfzTazSyzmvzluzlrzj } 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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Fractint and fractdev list migration
by Tim Wegner 17 Dec '01

17 Dec '01

I have completed adding all the fractint and fractdev and corresponding digest members to the new mailman software at xmission. Please send all new posts to the new list (fractint(a)mailman.xmission.com and fractdev(a)mailman.xmission.com) The majordomo list will go away very soon. I am investigating options for what to do with the old archives. I'll make sure they are not lost. You should have gotten an email with the password for your list configuration web page. You can change your password, but don't re- use an important password since this password provides only mild security! One thing that is a little different is that the digests are not separate lists. Some of you subcribed to both the regular list and the digest. You can select which you want on your list configuration web page. I tried to set up previous digest members to get the digest. For a short time I hereby declare that questions about the list software and how to use it are ON topic. However if you notice particular things that need configuring, I suggest emailing me directly and not bothering the list. I have already changed the reply-to from the message poster to the list. For our list I believe it works best for most replies to go to the list. Let me know if you are having any problems. Tim Wegner

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FOTD 17-12-01 (Inside-Out Midget [7])
by JimMuth＠aol.com 17 Dec '01

17 Dec '01

FOTD -- December 17, 2001 (Rating 7) Fractal visionaries and enthusiasts: I named today's image "Inside-Out Midget". I decided on the name because the inside of the almost-midget is composed of outside material. The midget itself is located in the East Valley area of a larger midget, which lies on a north filament of the main bud of the M-set. The midget's pattern starts out well enough around the edges, but is overwhelmed by intruding foreign matter before the midget itself appears. The spot where the midget should be found is apparent, but no midget is there. What has happened is that the scene does not lie in the classic M-set, but rather in the Hypercomplex M-set, which is a four-dimensional slice of an eight-dimensional Julibrot. Though it cannot be visualized, this hyper-M-set can be sliced in many places and in many directions. (Not all slices and directions can be drawn by the Fractint hypercomplex Mandelbrot formula as it is presently written.) Some of these slices cut the hyper-set in places where it pinches off, causing different parts to appear to overlap. When features with different iteration values overlap, the features with the lesser value will always prevail. In today's image, the lesser-valued outer elements of the midget prevail until the iterations exceed the value of the elements that are overlapping, at which point the intruding elements take over. (The intruding elements are from a point close to the shoreline at the northeast side of the main bay of the M-set.) As a result, we have a midget on a filament of the main bud of the M-set with a different part of the M-set showing through its open center. With time enough, I could have found parameters that would have had a smaller midget appear inside the larger midget. Unfortunately, press time is here, and that surprise will have to wait until another day. But the image as it stands is worth a 7 IMHO, and its render time of 19 minutes can be escaped by downloading the completed GIF image from the W.W.Web at either: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather was mostly cloudy and chilly Sunday here at Fractal Central. The mood of the fractal cats was just as chilly when they came to me, complaining about the temperature of 43F 6C and their inability to be comfortable outdoors. I told them that I was not responsible for outdoor conditions, but they did not forgive me until I treated them to an unexpected dish of tuna. The hour has now come for me to get busy on other things. So until next time, take care, and see you in 24 hours. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Inside-Out_Midget { ; time=0:19:19.09--SF5 on a P200 reset=2002 type=hypercomplex function=sqr passes=1 center-mag=-0.45685252523046350/+0.379672166837133\ 40/5.758829e+008/1/-170/-7.55939936529503864e-007 params=0/0/0/-0.8 float=y maxiter=10000 inside=0 logmap=354 colors=00000700800900A00B01C02D03E04F05\ G06G07H08H29I5AI8BJBDJEFKHHKKJKPLQTNXXPd`Wgdcohjql\ mzchnV_hNSIHOFBKC5G90D7KWAbnCSoTIpi8pyIsrSvkaxdXqh\ TkkPenLZqHTtDNw9HzCVoEhdGuVEk_CbdATh8Km7BqFDkNFeVH\ _bIU`HQ_GNYFKXEHWDEUCBTB8SA5_lHekKjjMpiOuiQrcQpYQm\ SQkMQhGQfBQZT_SiiLzsJmmHagFPaEDXU_PhvIVuKUxFOpNIhU\ C``PYd`VhmSlyPpzSlzVhzYdz_`xXdwUguSjtPnrNqqKtpIwgH\ kZH_QHOIHDdPFzWHYMX5Ck9PnCapFmrNlsUlt`ktgkunjvujvq\ dqnZlkTggNbdHYaBTZ6PXEWVLbTSiSZpYcrchsimuorvuvwqvs\ mvoivkewhhsejnblh`n`YpUWnUTmUQlUNkUKiUHhUEgTBfS9ZK\ 5SD1JRVBcxDenEfdFgVGhLHiBJjKLkSNl_PmgQnoWej`YfgK`m\ kVtrPzxJngHbRFRBEJSOCgY5wg6tb7rZ8oV9mRAjMBhICeECcA\ GbFKbJOaOSaSfeXth`taWtVRtONtHItADt39o5Fk6Kg7Pc8UMB\ mZ9ZVAcRBh2MH8JQDHYIEeZFAWEK1IH1834BE7EOAHYDKgGNqH\ QiHTbHVWIYPI_IIbBId4L`9OXDQTHTQLWMPYIT`EXbB`nBkyBu\ 3hyAejHbXO_JVY5YXH_WTbWcdVofVzcWp`Xf } END PARAMETER FILE=========================================

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Default Reply...
by Paul N. Lee 16 Dec '01

16 Dec '01

I notice that when replying, it goes to the originator and not to the List. The Headers have the REPLY-TO and FROM fields with the same value, the Sender. Sincerely, P.N.L. -------------------------------------------------------------- http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go

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