November 2015 - Fractint - mailman.xmission.com

mail problem ?
by sciwise＠ihug.co.nz 09 Dec '15

09 Dec '15

Just wondering if I'm still on the fractint mailing list.

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I just discovered that the list serve removed some important...
by Hal Lane 26 Nov '15

26 Nov '15

I just discovered that the list serve removed some important text from my last post -- a control key combination. It seems to have started deleting characters when I included angle brackets. Here's another attempt to post the info: "The key combination Control-'n' where 'n' is the number of the tab, switches to displaying that tab's contents. As an example, I put these three images in my browser's first three tabs: (You can drag the tabs to the left if they're not there already.) http://www.emarketingiseasy.com/TESTS/Fractals/VltLtIndex07.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VltLtIndex08.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VltLtIndex09.jpg (Don't forget to click each image...) I then held the Control key down and quickly typed: 1, 2, 3, 1, 2, 3, 1,... to see the relationship between areas of the fractal with 7, 8, and 9 iterations." I've found that this works in most Windows browsers. - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Volterra Lotka ph ex
by sciwise＠ihug.co.nz 24 Nov '15

24 Nov '15

Using Hal Lane's formula , where p and h are settable parameters try : p 1.768736 h 0.5013054 use the default values forcorners. Top Left X 0 y 4.5 Bot-r X 6 y 0

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V-HeunPH a limited region
by sciwise＠ihug.co.nz 21 Nov '15

21 Nov '15

The images that you are generating from my simple formula. in the p , h plane are fascinating ; perhaps you can do a similar treatment using these parameters. top left X 0.0025031289111390 y 0.8188647746243739 bottom right x 1.9949937421777222 y -0.6755031853255635 ----- vhpp.par ------------- test { reset=2004 type=formula formulafile=fractint.frm formulaname=V-HeunPH center-mag=0.998748/0.0716808/1.338358 float=y maxiter=2048 inside=bof61 outside=0 logmap=yes colors=(a)blues.map } --------- end par ------- I wasn't expecting the p , h plane ,to be overly complicated , however you can never tell when fractals are involved. The next step is to take the V-HeunPH values and use them with V-Heun. Using the vhpp.par file we obtaim a type of curve that's at the boundary between the unstable outside and the ultra stable inside ; values from this region are what I may initially use for V-Huen , however your explorations are suggesting other possibilities.

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Images from sciwise's corrected Volterra Lotka 'V-HeunPH' formula:
by Hal Lane 20 Nov '15

20 Nov '15

Images from sciwise's corrected Volterra Lotka 'V-HeunPH' formula: Anti-aliased. Click image to remove browser resampling, if needed. [Investigations]: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS03.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS04.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS05.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS06.jpg http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS07.jpg [Art Image]: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS08.jpg - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Load par file.
by sciwise＠ihug.co.nz 20 Nov '15

20 Nov '15

xfractint 20.04.10 Correction to load a *.par file I use the key sequence : @ F6 . And then select appropriate directory and file.

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FW: Volterra Lotka PH -- Error in formula corrected
by Hal Lane 19 Nov '15

19 Nov '15

Sorry for the long post... When sciwise posted the Volterra Lotka (VL) formula here Nov. 7th, 2015 (his post is forwarded below) he later mentioned to me in a private email (that he likely intended to be posted to the [Fractint] list) that he inadvertently cut off the last few characters. He got the original formula from (and posted his BASIC code) at FreeBASIC.net on this page: http://www.freebasic.net/forum/viewtopic.php?f=8&t=24016 I'll repeat here the original source post from that page below. My previously posted VL images were made with the originally posted formula with the missing bailout test code. I've found that it's hypersensitive to maxiter value, which makes sense if you think about it. Using the code with the missing bailout test I made several fractals with the same parms, except for different maxiter value & confirmed this. I show a quick look at the corrected formula's images below. Notes on the original *freebasic.net* source post below: -------------------------------------------------------- - Look at the "18 Aug 93" date! - There are 2 formulas: "V-Euler" and "V-Heun" -- the one which is similar to the one sciwise previously posted with the last few characters (the bailout test) cut off. I put more about this below. - A set of parameters is provided for a "V-Heun" image. - "BOF" = "The Beauty of Fractals" ... "[is an award-winning] 1986 book by Heinz-Otto Peitgen and Peter Richter which publicises the fields of complex dynamics, chaos theory and the concept of fractals. It is lavishly illustrated and as a mathematics book became an unusual success." - https://en.wikipedia.org/wiki/The_Beauty_of_Fractals You can look a few pages of the book here: http://tinyurl.com/Beauty-of-Fractals-Images-of or: http://www.amazon.com/The-Beauty-Fractals-Complex-Dynamical/dp/3642617190 I'm hoping to locate my copy somewhere in my storage shed... Original FreeBASIC.net source post: ------------------------------------------------ =================================================== received from Ramiro Perez <RPEREZ(a)EARN.UTPVM1> 18 Aug 93 Path: unixg.ubc.ca!news.mic.ucla.edu!library.ucla.edu!europa.eng.gtefsd.com!darwin .sura.net!paladin.american.edu!auvm!VAXB.MIDDLESEX.AC.UK!DAVID1 Comments: Gated by NETNEWS(a)AUVM.AMERICAN.EDU Newsgroups: bit.listserv.frac-l Via: uk.ac.mdx.vaxa; Mon, 27 Jun 1994 00:09:14 +0100 Message-ID: <FRAC-L%94062619112203(a)GITVM1.GATECH.EDU> Date: Mon, 27 Jun 1994 00:10:00 GMT Sender: "\"FRACTAL\" discussion list" <FRAC-L(a)GITVM1.BITNET> From: DAVID1(a)VAXB.MIDDLESEX.AC.UK Subject: Ramiro Perez Volterra .FRM Lines: 33 These are the Volterra-Lotka Formulas p 125 BOF received from Ramiro Perez: comment={received from Ramiro Perez <RPEREZ(a)EARN.UTPVM1> 18 Aug 93 } V-Euler{ x=real(pixel), y=imag(pixel), h=real(p1)/2: u=x-x*y, w=-y+x*y, c=x+h*(u+u), d=y+h*(w+w), x=c, y=d, z=x+flip(y), |z|<=p2 } V-Heun{ x=real(pixel), y=imag(pixel), p=real(p1), h=imag(p1)/2: u=x-x*y, w=-y+x*y, a=x+p*u, b=y+p*w, c=x+h*(u+(a-a*b)), d=y+h*(w+(-b+a*b)), x=c, y=d, z=x+flip(y), |z|<=p2 } Regards David Walter London england. VHeun { ; Volterra-Lottka reset=2004 type=formula formulafile=fractint.frm formulaname=V-Heun corners=0.000150015/6.00015/0/4.5 params=0.73899999999999999/0.73899999999999999/64/0 float=y maxiter=2048 inside=bof60 logmap=yes colors=(a)blues.map } ================================================== The above parm file "VHeun" (likely later than 1993) (with "frm:" added to the two formulas) creates: http://www.emarketingiseasy.com/TESTS/Fractals/VHeun00.gif which looks to be the built-in default Fractint VL fractal. NOTE: The original 1993 post above has this formula code: -------------------- V-Heun { . . . x=real(pixel), y=imag(pixel), p=real(p1), h=imag(p1)/2: -------------------- while sciwise's previously posted formula code has this code, which swaps the initialization of x & y with p & h 's initialization and vice versa: -------------------- V-HeunPH { . . . x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): --------------------- The rest of the two formulas' (V-Heun/V-HeunPH) code is the same. Using: - Sciwise's corrected formula code (with his initialization mod above), - the same parm values as in the original 1993 post, - centered at (0, 0) with magnification 1.0, - with periodicity set to zero (to guarantee an accurate image -- at the expense of speed), produces this (anti-aliased) image: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS00.jpg (Click image to defeat browser resampling if needed.) And with a Paul Carlsonesque color map (taken from one of Albrect's parm files, I believe) the same image looks like this: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS01.jpg This is the par file and formula used for the above VHeunS00.jpg image: ---------------------------------------------------------------------------- -- VHeunS00 { ; sciwise's Volterra Lotka formula (with modified initialization) ; and bailout repair used. ; p, h variable. ; ; pars - taken from post with the 1993 V-Heun formula. ; frm - sciwise's modified ver of 1993 V-Heun formula: "V-HeunPH", repaired. ; reset=2004 type=formula formulafile=fractint.frm formulaname=V-HeunPH center-mag=0.0/0.0/1.0 params=0.73899999999999999/0.73899999999999999/64/0 float=y maxiter=2048 inside=bof60 logmap=yes colors=(a)blues.map } frm:V-HeunPH { ; Sciwise's FRM REPAIRED BY RESTORING BAILOUT TEST -HHL ; Also parameterized on initialization and bailout values. -HHL x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z|<=p2 } ---------------------------------------------------------------------------- ---------------------- Sorry for the over-long post. I think this is correct now. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ======================================================= -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of sciwise(a)ihug.co.nz Sent: Saturday, November 7, 2015 11:49 PM To: fractint(a)mailman.xmission.com Subject: [Fractint] Volterra Lotka PH This is the second part of the Volterra Lotka formulas , in this instance we are selecting an initial condition and varying the parameters p & h across the plane. There's now another FreeBASIC file to obtain the sequences from the map generated by V-HeunPH.frm . The coordinates I used were : Top left corner . -2.0 1.5 Bottom right corner . 2 -1.5 ---------------------------------------------------------------------------- ------- comment{Volterra Lotka , p , h variable . V-HeunPH.frm initial condition [ x = 0.8 , y=0.8 ], this initial condition might be determined from the V-Heun map . [ p , h ] varied over plane . x' = x - x*y y' = -y + x*y } V-HeunPH { x=0.8 y=0.8 p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z| _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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Long lines in the Fractint parm file in my last post wrapped.
by Hal Lane 19 Nov '15

19 Nov '15

I noticed that some long lines in the Fractint par file in my last post wrapped while being emailed/posted. They make Fractint unhappy trying to read them if you just grab them & paste them into a file. I shortened the lines below and they test as correct. For correct "final" images, be sure to use periodicity set to zero on the Passes Options screen -- type: <P> to set periodicity. (And set passes=1, too.) I added "periodicity=6" to the parms since I found I was getting Fractint's default periodicity=1 and an *inaccurate* image -- all too easily. - Hal ----- Corrected info & parm files -------------------------- Using: - Sciwise's corrected formula code (with his initialization mod above), - the same parm values as in the original 1993 post, - centered at (0, 0) with magnification 1.0, - with //periodicity set to zero// (to guarantee an accurate image -- at the expense of speed), produces this (anti-aliased) image: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS00.jpg (Click image to defeat browser resampling if needed.) And with a Paul Carlsonesque color map (taken from one of Albrect's parm files, I believe) the same image looks like this: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS01.jpg This is the par file and formula used for the above VHeunS00.jpg image: --- Start of PAR file --------------------------------------------- VHeunS00 { ; sciwise's Volterra Lotka formula ; (with modified initialization) ; and bailout repair used. ; p, h variable. ; ; pars - taken from post with the 1993 V-Heun formula. ; frm - sciwise's modified ver of 1993 V-Heun formula: ; "V-HeunPH", repaired. ; reset=2004 type=formula formulafile=fractint.frm formulaname=V-HeunPH center-mag=0.0/0.0/1.0 periodicity=6 params=0.73899999999999999/0.73899999999999999/64/0 float=y maxiter=2048 inside=bof60 logmap=yes colors=(a)blues.map } frm:V-HeunPH { ; Sciwise's FRM REPAIRED BY RESTORING BAILOUT TEST -HHL ; Also parameterized on initialization and bailout values. -HHL x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z|<=p2 } ----- End of PAR file ------------------------------------- Here's my parms with a Paul Carlson-esque color map: This is the par file and formula used for the VHeunS01.jpg image: http://www.emarketingiseasy.com/TESTS/Fractals/VHeunS01.jpg --- Start of PAR file --------------------------------------------- VltLotk1 { ; My parms w Carlsonesque color map reset=2004 type=formula formulafile=mfr_14.frm formulaname=V-HeunPH passes=1 center-mag=0.0/0.0/1.0 periodicity=6 params=0.8/0.8 float=y maxiter=512 inside=zmag periodicity=0 sound=off colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0\ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<12>110 } frm:V-HeunPH { ; Sciwise's FRM REPAIRED BY RESTORING BAILOUT TEST -HHL ; Also parameterized on initialization and bailout values. -HHL x=real(p1) y=imag(p1) p=real(pixel) h=imag(pixel): u=x-x*y w=-y+x*y a=x+p*u b=y+p*w c=x+h*(u+(a-a*b)) d=y+h*(w+(-b+a*b)) x=c y=d z=x+flip(y) |z|<=p2 } ----- End of PAR file ------------------------------------- - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus

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String World
by Albrecht Niekamp 19 Nov '15

19 Nov '15

Some time ago I presented the Bubble Universe, now here is the String World. 3 images using the manipulating features of MFR14. Images Nr. 23-25 https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b93… ; Albrecht ; --------------------------start Par--------------------------------------------------- 21547-26 { ; String World 1 ; Mandel-Secant-ManyMods-Manowar-Newton ; Time 0.10.00.10 Reso 1280/1024 Bootstick ; Colors SG reset=2004 type=formula formulafile=mfr14.frm formulaname=mfr_14_1 function=zero/ident/ident/ident passes=t center-mag=-0.50000020517775400/+0.62012988982442040/1.629366e+012/1/-52\ .4965746794954669/-0.000239043566757760062 params=-0.05825983458967864/0.3785210730307932/21547.6459571202/14523.49\ 11030602/152048.0404808041/384.16048940221/384.00482000595/128.100768300\ 1/256.1007683001/384.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=0002pVjwbkuQVYXAvg1BcvaXAlWvkl0YmIcAJeKbAVXmJ10t2UFstUkp4bKzIUCrD\ E98SSzeNOlwwGlD9N7X0bcmNB0jQMoq1Ofw`ZSL6Nf7gE_FMuciyBgoNtOpiQ4Tf_`boRYad\ zBq5KaOmfCDYqZxwo3P6uttXig07PCEqKAGoJoAeLUbD541RcXyjVjcylFw4cXZ61KtxAqM7\ feWKB7YeVJY19kDWjlK54oeFOHioHrvLVJPsKjf5Ccbb6lSYnFoQWQSeC_9wOi2_gHphRDKZ\ 8i5WxAQX65AxcpKJr`8ASx2zKtDRJo9UEkIsj1Iyv04RrmX_RaxapfYqPvuMa4Qoyc6Dc5VO\ f98NT30MOqS_IeIS2QN_ja70_GkHFefDj7twbZKCrMrijNGzYpm3yB2yaRy3Yje4bmwDCToz\ d5syZnfm97SNWfZGLlz010PRU3gfkEagMPyLVvCYfZQNXpZQvOowdRjsg8i1hZWs0lQkTv0_\ QDTs_lxPIN4MjBHg5jnU_XP2lKoVx8KeDmsoDRh_crkXEQ6JOIAO0FUpGrU_1H92NnoXYXax\ y`eVL8n711EbDQiPFTIK_Evn4bU7HKTBU_GNNQDXEv`roR5DuYlKbp_47UDKbcqHe8fYXVcp\ 3ruY47RJbt3GF4Gu8Na`HxKeJvbc6amLC`1dhwQAxa24Q2cJ_9G8RGHKQ2UOQ4gHDYwyu0ec\ u25uCniCZZxnt61bGgIljLomQ6l1Sri6b0K6f_vZ01j9sghPSah2Pt5 } 21547-28 { ; String World 2 ; Mandel-Secant-ManyMods-Manowar-Newton ; Time 0.10.19.00 Reso 1280/1024 Bootstick ; Colors SG reset=2004 type=formula formulafile=mfr14.frm formulaname=mfr_14_1 function=zero/ident/ident/ident passes=t center-mag=-0.50000020517818930/+0.62012988982377440/1.512454e+013/0.999\ 9/-62.5153264683909953/-0.0375564993000660971 params=-0.05825983458967864/0.3785210730307932/21547.6459571202/14523.49\ 11030602/152048.0404808041/384.16048940221/384.00482000595/128.100768300\ 1/256.1007683001/384.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=0002pVjwbkuQVYXAvg1BcvaXAlWvkl0YmIcAJeKbAVXmJ10t2UFstUkp4bKzIUCrD\ E98SSzeNOlwwGlD9N7X0bcmNB0jQMoq1Ofw`ZSL6Nf7gE_FMuciyBgoNtOpiQ4Tf_`boRYad\ zBq5KaOmfCDYqZxwo3P6uttXig07PCEqKAGoJoAeLUbD541RcXyjVjcylFw4cXZ61KtxAqM7\ feWKB7YeVJY19kDWjlK54oeFOHioHrvLVJPsKjf5Ccbb6lSYnFoQWQSeC_9wOi2_gHphRDKZ\ 8i5WxAQX65AxcpKJr`8ASx2zKtDRJo9UEkIsj1Iyv04RrmX_RaxapfYqPvuMa4Qoyc6Dc5VO\ f98NT30MOqS_IeIS2QN_ja70_GkHFefDj7twbZKCrMrijNGzYpm3yB2yaRy3Yje4bmwDCToz\ d5syZnfm97SNWfZGLlzni0PRU3gfkEagMPyLVvCYfZQNXpZQvOowdRjsg8i1hZWs0lQkTv0_\ QDTs_lxPIN4MjBHg5jnU_XP2lKoVx8KeDmsoDRh_crkXEQ6JOIAO0FUpGrU_1H92NnoXYXax\ y`eVL8n711EbDQiPFTIK_Evn4bU7HKTBU_GNNQDXEv`roR5DuYlKbp_47UDKbcqHe8fYXVcp\ 3ruY47RJbt3GF4Gu8Na`HxKeJvbc6amLC`1dhwQAxa24Q2cJ_9G8RGHKQ2UOQ4gHDYwyu0ec\ u25uCniCZZxnt61bGgIljLomQ6l1Sri6b0K6f_vZ01j9sghPSah2Pt5 } 21547-30 { ; String World 3 ; Mandel-Secant-ManyMods-Manowar-Newton ; Time 0.10.18.85 Reso 1280/1024 Bootstick ; Colors SG reset=2004 type=formula formulafile=mfr14.frm formulaname=mfr_14_1 function=zero/ident/ident/ident passes=t center-mag=-0.50000020517821460/+0.62012988982378010/1.400421e+013/1.000\ 5/-62.5979189790724107/0.099222572141416332 params=-0.05825983458967864/0.3785210730307932/21547.6459571202/14523.49\ 11030602/152048.0404808041/384.16048940221/384.00482000595/128.100768300\ 1/256.1007683001/384.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 sound=off colors=000cU7IKTCU_HNNRDXFv`soR6DuZlKcp_57UEKbdqHf8fZXVdp3suY57RKbt4GF5G\ u9NaaHxLeJwbc7amMC`2dhxQAya25Q2dJ_AG8SGHLQ2VOQ5gHEYwzu0fcu35uDniDZZynt71\ bHgImjLpmQ7l1Tri7b0L6f`vZ01jAsgiPSbh2Qt53pVkwbluQWYXBvg2BcwaXBlWwkl1YmJc\ AKeKcAVYmJ20t3UFttUlp4cKzJUCsDEA8STzeOOlxwGmD9O7X1bcnNB1jQNoq2Ofx`ZTL6Of\ 7hE_GMudiyCgoOtOqiQ5Tf``bpRYbdzCq5LaOnfCEYq_xwp3P7utuXih07QCErKAHoJpAeMU\ bE542RcYyjWjczlFx4cYZ62KtyAqN7ffWKC7YfVJZ19lDWklK64ofFOIioIrvMVJQsKkf5Dc\ bc6lTYnGoQXQSfC_AwOj2_hHpiRDLZ8j5WyAQY65BxcqKJs`8BSx3zKuDRKo9VEkJsj2Iyw0\ 4SrmY_RbxaqfYrPvvMa5Qozc6Ec5WOfA8NU30NOqT_IfIS3QN`ja80_HkHGefEj7uwb_KCsM\ rjjNHzYqm3zB2zaRz3Yke4cmwECTpzd6sy_nfn97TNWgZGMlz010QRU4gflEahMPzLVwCYgZ\ QOXp_QvPoweRjtg8j1h_Ws0lQlTv1_QETs`lxQIN5MjCHg6jnV_XQ2lLoVy8KfDmtoDSh_dr\ kYEQ7JOJAO0FUqGrV_1I92OnoYYXbxyaeVM8n811FbDRiPGTIL_Ewn4 } ----------------------------------------------------End---------------------------------

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test
by sciwise＠ihug.co.nz 18 Nov '15

18 Nov '15

Some of my previous messages to the group appear to have gone astray. sciwise

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