* [NTG-context] Kaktovik numerals
@ 2023-04-18 8:57 Henning Hraban Ramm via ntg-context
2023-04-18 9:23 ` Arthur Rosendahl via ntg-context
` (6 more replies)
0 siblings, 7 replies; 14+ messages in thread
From: Henning Hraban Ramm via ntg-context @ 2023-04-18 8:57 UTC (permalink / raw)
To: mailing list for ConTeXt users; +Cc: Henning Hraban Ramm
I just came across this thread about the base-20 system of the Inuit
people and the numerals invented for it in the 1990s:
https://mathstodon.xyz/@johncarlosbaez/110215432175491555
This makes simple calculations just beautiful.
Hraban
___________________________________________________________________________________
If your question is of interest to others as well, please add an entry to the Wiki!
maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context
webpage : https://www.pragma-ade.nl / http://context.aanhet.net
archive : https://bitbucket.org/phg/context-mirror/commits/
wiki : https://contextgarden.net
___________________________________________________________________________________
^ permalink raw reply [flat|nested] 14+ messages in thread* Re: [NTG-context] Kaktovik numerals 2023-04-18 8:57 [NTG-context] Kaktovik numerals Henning Hraban Ramm via ntg-context @ 2023-04-18 9:23 ` Arthur Rosendahl via ntg-context 2023-04-18 13:01 ` Hans Hagen via ntg-context ` (5 subsequent siblings) 6 siblings, 0 replies; 14+ messages in thread From: Arthur Rosendahl via ntg-context @ 2023-04-18 9:23 UTC (permalink / raw) To: Mailing list for ConTeXt users; +Cc: Arthur Rosendahl On Tue, Apr 18, 2023 at 10:57:14AM +0200, Henning Hraban Ramm via ntg-context wrote: > I just came across this thread about the base-20 system of the Inuit people > and the numerals invented for it in the 1990s: > https://mathstodon.xyz/@johncarlosbaez/110215432175491555 > > This makes simple calculations just beautiful. It is beautiful :-) Thanks for the pointer! Best, Arthur ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-18 8:57 [NTG-context] Kaktovik numerals Henning Hraban Ramm via ntg-context 2023-04-18 9:23 ` Arthur Rosendahl via ntg-context @ 2023-04-18 13:01 ` Hans Hagen via ntg-context 2023-04-18 13:52 ` Willi Egger via ntg-context 2023-04-19 12:29 ` Henning Hraban Ramm via ntg-context 2023-04-18 13:41 ` Willi Egger via ntg-context ` (4 subsequent siblings) 6 siblings, 2 replies; 14+ messages in thread From: Hans Hagen via ntg-context @ 2023-04-18 13:01 UTC (permalink / raw) To: Henning Hraban Ramm via ntg-context; +Cc: Hans Hagen [-- Attachment #1: Type: text/plain, Size: 682 bytes --] On 4/18/2023 10:57 AM, Henning Hraban Ramm via ntg-context wrote: > I just came across this thread about the base-20 system of the Inuit > people and the numerals invented for it in the 1990s: > https://mathstodon.xyz/@johncarlosbaez/110215432175491555 > > This makes simple calculations just beautiful. interesting ... quick hack attached Hans ----------------------------------------------------------------- Hans Hagen | PRAGMA ADE Ridderstraat 27 | 8061 GH Hasselt | The Netherlands tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl ----------------------------------------------------------------- [-- Attachment #2: meta-imp-kaktovik.pdf --] [-- Type: application/pdf, Size: 13815 bytes --] [-- Attachment #3: meta-imp-kaktovik.mkxl --] [-- Type: text/plain, Size: 4328 bytes --] %D \module %D [ file=meta-imp-kaktovik, %D version=2023.04.18, %D title=\METAPOST\ Graphics, %D subtitle=Kaktovik Numbers, %D author=Hans Hagen, %D date=\currentdate, %D copyright={PRAGMA ADE \& \CONTEXT\ Development Team}] %C %C This module is part of the \CONTEXT\ macro||package and is %C therefore copyrighted by \PRAGMA. See mreadme.pdf for %C details. %D Just a quick hack for Hraban (after a post on the mailing list). \startMPcalculation{simplefun} path kaktovik_glyphs[] ; def InitializeKaktovik = save p, d, u ; pair p[] ; numeric d ; d := .1 ; numeric u ; u := .15 ; % d := getparameterdefault "mpsfont" "d" .10 ; % u := getparameterdefault "mpsfont" "u" .15 ; p[0] := (0,1) ; p[1] := (1,0) ; p[2] := (2,1 - d) ; p[3] := (3,0) ; p[4] := (4,1 - 2d) ; p[5] := (4,1 + u) ; p[6] := (0,1 + 2u) ; p[7] := (4,1 + 4u) ; kaktovik_glyphs[0] := (1,1) { right } .. { left } (2,1/2) { left } .. { right } (3,1); for i= 1 upto 4 : kaktovik_glyphs[i] := p[0] for j=1 upto i : -- p[j] endfor ; endfor ; kaktovik_glyphs[ 5] := p[5] -- p[0] ; for i= 6 upto 9 : kaktovik_glyphs[i] := p[5] -- kaktovik_glyphs[i-5] ; endfor ; kaktovik_glyphs[10] := p[6] -- kaktovik_glyphs[ 5] ; for i=11 upto 14 : kaktovik_glyphs[i] := p[6] -- kaktovik_glyphs[i-5] ; endfor ; kaktovik_glyphs[15] := p[7] -- kaktovik_glyphs[10] ; for i=16 upto 19 : kaktovik_glyphs[i] := p[7] -- kaktovik_glyphs[i-5] ; endfor ; enddef ; vardef Kaktovik(expr i) = draw image ( draw kaktovik_glyphs[i] xscaled (10/20 -1/20) yscaled (25/20 -2/20) withpen (pencircle xscaled 1/20 yscaled 5/20) rotated -(2*20) % withpen (pencircle xscaled 1/40 yscaled 5/40) rotated -(2*20) % withpen (pencircle xscaled 2.5/40 yscaled 5/40) rotated -(2*20) ; ) shifted (2/20,2/20) enddef ; lmt_registerglyphs [ name = "kaktovik", units = 2, usecolor = true, width = 2, height = 2, depth = 0, preamble = "InitializeKaktovik" ] ; for i=0 upto 19 : lmt_registerglyph [ category = "kaktovik", unicode = 119488 + i, % "0x1D2C0" code = "Kaktovik(" & decimal i & ")" ] ; endfor ; \stopMPcalculation \startluacode interfaces.implement { name = "kaktoviknumerals", arguments = "integer", actions = function(n) local digits = { } local count = 1 while true do digits[count] = utf.char(0x1D2C0 + (n % 20)) n = n // 20 if n == 0 then break; end count = count + 1 end context("%t",digits) end } \stopluacode \unprotect \permanent\def\kaktoviknumerals#1{\clf_kaktoviknumerals\numexpr#1\relax} \defineconversion [kaktoviknumerals] [\kaktoviknumerals] \defineconversion [K] [\kaktoviknumerals] \definefontfeature [kaktovik] [metapost=kaktovik] \protect \continueifinputfile{meta-imp-kaktovik.mkxl} \definefontfeature [default] [default] [metapost=kaktovik] % [metapost={category=kaktovik,u=.25,d=.20,x=}] \setupbodyfont[dejavu] % \nopdfcompression \startTEXpage[offset=1ts,width=3es] \start \showglyphs KAKTOVIK \dostepwiserecurse{0}{19}{1}{\kaktoviknumerals{#1}\space } \stop kaktovik \start \red\glyphxscale 700 \dostepwiserecurse{0}{19}{1}{\kaktoviknumerals{#1}\space } \stop \startitemize[packed,K][color=orange,stopper=] \startitem first \stopitem \startitem second \stopitem \startitem third \stopitem \stopitemize KAKTOVIK \start \red \kaktoviknumerals{2023} -- \green\kaktoviknumerals{4} -- \blue \kaktoviknumerals{18} \stop KAKTOVIK \stopTEXpage [-- Attachment #4: Type: text/plain, Size: 496 bytes --] ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-18 13:01 ` Hans Hagen via ntg-context @ 2023-04-18 13:52 ` Willi Egger via ntg-context 2023-04-19 12:29 ` Henning Hraban Ramm via ntg-context 1 sibling, 0 replies; 14+ messages in thread From: Willi Egger via ntg-context @ 2023-04-18 13:52 UTC (permalink / raw) To: mailing list for ConTeXt users; +Cc: Willi Egger Hans, genial. Once you told to me “hoe krijg je het voor elkaar…”. Now I tell you, how do you get this done… the mail has not even had the time to “cool” down and you post this. I am astonished. Kind regards Willi > On 18 Apr 2023, at 15:01, Hans Hagen via ntg-context <ntg-context@ntg.nl> wrote: > > On 4/18/2023 10:57 AM, Henning Hraban Ramm via ntg-context wrote: >> I just came across this thread about the base-20 system of the Inuit people and the numerals invented for it in the 1990s: >> https://mathstodon.xyz/@johncarlosbaez/110215432175491555 >> This makes simple calculations just beautiful. > interesting ... quick hack attached > > Hans > > ----------------------------------------------------------------- > Hans Hagen | PRAGMA ADE > Ridderstraat 27 | 8061 GH Hasselt | The Netherlands > tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl > ----------------------------------------------------------------- > <meta-imp-kaktovik.pdf><meta-imp-kaktovik.mkxl>___________________________________________________________________________________ > If your question is of interest to others as well, please add an entry to the Wiki! > > maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context > webpage : https://www.pragma-ade.nl / http://context.aanhet.net > archive : https://bitbucket.org/phg/context-mirror/commits/ > wiki : https://contextgarden.net > ___________________________________________________________________________________ ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-18 13:01 ` Hans Hagen via ntg-context 2023-04-18 13:52 ` Willi Egger via ntg-context @ 2023-04-19 12:29 ` Henning Hraban Ramm via ntg-context 1 sibling, 0 replies; 14+ messages in thread From: Henning Hraban Ramm via ntg-context @ 2023-04-19 12:29 UTC (permalink / raw) To: Hans Hagen via ntg-context; +Cc: Henning Hraban Ramm Am 18.04.23 um 15:01 schrieb Hans Hagen via ntg-context: > On 4/18/2023 10:57 AM, Henning Hraban Ramm via ntg-context wrote: >> I just came across this thread about the base-20 system of the Inuit >> people and the numerals invented for it in the 1990s: >> https://mathstodon.xyz/@johncarlosbaez/110215432175491555 >> >> This makes simple calculations just beautiful. > interesting ... quick hack attached Thank you very much! I want to use this for paginations ;)) (Sorry for somewhat erratical response behavior – I’m quite busy preparing for the book fair in Leipzig…) Hraban ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-18 8:57 [NTG-context] Kaktovik numerals Henning Hraban Ramm via ntg-context 2023-04-18 9:23 ` Arthur Rosendahl via ntg-context 2023-04-18 13:01 ` Hans Hagen via ntg-context @ 2023-04-18 13:41 ` Willi Egger via ntg-context 2023-04-18 15:50 ` Rudolf Bahr via ntg-context ` (3 subsequent siblings) 6 siblings, 0 replies; 14+ messages in thread From: Willi Egger via ntg-context @ 2023-04-18 13:41 UTC (permalink / raw) To: mailing list for ConTeXt users; +Cc: Willi Egger Hi! dit is really interesting, I just spent two hours reading different sources. And yes, the SIL GentiumKatovik made the wikipedia show everything nicely! Thanks Hraban Willi > On 18 Apr 2023, at 10:57, Henning Hraban Ramm via ntg-context <ntg-context@ntg.nl> wrote: > > I just came across this thread about the base-20 system of the Inuit people and the numerals invented for it in the 1990s: > https://mathstodon.xyz/@johncarlosbaez/110215432175491555 > > This makes simple calculations just beautiful. > > Hraban > ___________________________________________________________________________________ > If your question is of interest to others as well, please add an entry to the Wiki! > > maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context > webpage : https://www.pragma-ade.nl / http://context.aanhet.net > archive : https://bitbucket.org/phg/context-mirror/commits/ > wiki : https://contextgarden.net > ___________________________________________________________________________________ ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-18 8:57 [NTG-context] Kaktovik numerals Henning Hraban Ramm via ntg-context ` (2 preceding siblings ...) 2023-04-18 13:41 ` Willi Egger via ntg-context @ 2023-04-18 15:50 ` Rudolf Bahr via ntg-context 2023-04-18 17:19 ` Otared Kavian via ntg-context ` (2 subsequent siblings) 6 siblings, 0 replies; 14+ messages in thread From: Rudolf Bahr via ntg-context @ 2023-04-18 15:50 UTC (permalink / raw) To: mailing list for ConTeXt users; +Cc: Rudolf Bahr Am Tue, Apr 18, 2023 at 10:57:14AM +0200 schrieb Henning Hraban Ramm via ntg-context: > I just came across this thread about the base-20 system of the Inuit people > and the numerals invented for it in the 1990s: > https://mathstodon.xyz/@johncarlosbaez/110215432175491555 > > This makes simple calculations just beautiful. > > Hraban > ___________________________________________________________________________________ Very nice, Hraban, thank you for posting it! Rudolf ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-18 8:57 [NTG-context] Kaktovik numerals Henning Hraban Ramm via ntg-context ` (3 preceding siblings ...) 2023-04-18 15:50 ` Rudolf Bahr via ntg-context @ 2023-04-18 17:19 ` Otared Kavian via ntg-context 2023-04-19 15:17 ` Willi Egger via ntg-context 2023-04-19 18:36 ` Willi Egger via ntg-context 6 siblings, 0 replies; 14+ messages in thread From: Otared Kavian via ntg-context @ 2023-04-18 17:19 UTC (permalink / raw) To: mailing list for ConTeXt users; +Cc: Otared Kavian [-- Attachment #1.1: Type: text/plain, Size: 1070 bytes --] Great indeed ! And the quick answer by Hans impressive, as usual… What a great community ! Best regards: Otared > On 18 Apr 2023, at 10:57, Henning Hraban Ramm via ntg-context <ntg-context@ntg.nl> wrote: > > I just came across this thread about the base-20 system of the Inuit people and the numerals invented for it in the 1990s: > https://mathstodon.xyz/@johncarlosbaez/110215432175491555 > > This makes simple calculations just beautiful. > > Hraban > ___________________________________________________________________________________ > If your question is of interest to others as well, please add an entry to the Wiki! > > maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context > webpage : https://www.pragma-ade.nl / http://context.aanhet.net > archive : https://bitbucket.org/phg/context-mirror/commits/ > wiki : https://contextgarden.net > ___________________________________________________________________________________ Otared Kavian e-mail: otared@gmail.com Phone: +33 6 88 26 70 95 [-- Attachment #1.2: Type: text/html, Size: 2371 bytes --] [-- Attachment #2: Type: text/plain, Size: 496 bytes --] ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-18 8:57 [NTG-context] Kaktovik numerals Henning Hraban Ramm via ntg-context ` (4 preceding siblings ...) 2023-04-18 17:19 ` Otared Kavian via ntg-context @ 2023-04-19 15:17 ` Willi Egger via ntg-context 2023-04-19 18:36 ` Willi Egger via ntg-context 6 siblings, 0 replies; 14+ messages in thread From: Willi Egger via ntg-context @ 2023-04-19 15:17 UTC (permalink / raw) To: mailing list for ConTeXt users; +Cc: Willi Egger Hi everybody, because I am not a mathematician, I looked on the internet for more explanations for the Katovik numerals. I found on YouTube films, worthwhile to enjoy: https://www.youtube.com/watch?v=fIZB4bRwxqI&ab_channel=Dave%27sMathVideos https://www.youtube.com/watch?v=ObRFHiU_r9I&ab_channel=TheFerret Willi > On 18 Apr 2023, at 10:57, Henning Hraban Ramm via ntg-context <ntg-context@ntg.nl> wrote: > > I just came across this thread about the base-20 system of the Inuit people and the numerals invented for it in the 1990s: > https://mathstodon.xyz/@johncarlosbaez/110215432175491555 > > This makes simple calculations just beautiful. > > Hraban > ___________________________________________________________________________________ > If your question is of interest to others as well, please add an entry to the Wiki! > > maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context > webpage : https://www.pragma-ade.nl / http://context.aanhet.net > archive : https://bitbucket.org/phg/context-mirror/commits/ > wiki : https://contextgarden.net > ___________________________________________________________________________________ ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-18 8:57 [NTG-context] Kaktovik numerals Henning Hraban Ramm via ntg-context ` (5 preceding siblings ...) 2023-04-19 15:17 ` Willi Egger via ntg-context @ 2023-04-19 18:36 ` Willi Egger via ntg-context 2023-04-19 18:58 ` Gavin via ntg-context 6 siblings, 1 reply; 14+ messages in thread From: Willi Egger via ntg-context @ 2023-04-19 18:36 UTC (permalink / raw) To: mailing list for ConTeXt users; +Cc: Willi Egger [-- Attachment #1: Type: text/plain, Size: 100 bytes --] Hi all, after playing around and watching YouTube the attached composition is made… Willi [-- Attachment #2: kaktovik-numerals-info.pdf --] [-- Type: application/pdf, Size: 28205 bytes --] [-- Attachment #3: kaktovik-numerals-info.tex --] [-- Type: application/octet-stream, Size: 5357 bytes --] % ConTeXT file % filename: kaktovik-numerals-intro.tex % W. Egger % 19-04-2023 \input meta-imp-kaktovik.mkxl \definefontfeature [default] [default] [metapost=kaktovik] \setupbodyfont[dejavu] \setuppagenumbering[location=footer] \setuplayout [header=0pt] \starttext \starttitle[title=Kaktovik-numerals] \startsubject[title=Intro] On 18-04-2023 Haraban Ramm posted on the mailing-list about the Kaktovik numerals. \blank https://mathstodon.xyz/@johncarlosbaez/110215432175491555 \blank The Inuit have a counting system based on the base 20. Back in 1994 in the local school at Kaktovik in Alaska students developed a counting system for the local language on the base 20. There is a subunit in the form of 5. The counting system with base 20 is known in different cultures. e.g. The Mayans (Mexico) used a system with dots and horizontal bars. Even in modern languages there are traces of the base 20 counting system. e.g. French express 80 as \quote{quatre-vingt} and 90 as \quote{quatre-vingt-dix}... \stopsubject \startsubject[title=Hans Hagen's implementation] A couple of hours after Hraban's post, Hans came already up with an implementation of the Kaktovik-numeral-shapes in \METAFUN. \blank meta-imp-kaktovik.mkxl \stopsubject \startsubject[title=Further information on the Kaktovik-numerals-system] https://www.youtube.com/watch?v=EyS6FfczH0Q&ab_channel=Artifexian https://www.youtube.com/watch?v=fIZB4bRwxqI&ab_channel=Dave%27sMathVideos https://www.youtube.com/watch?v=ObRFHiU_r9I&ab_channel=TheFerret \stopsubject \startsubject[title=The key to writing numbers in Kaktovik system] In order to understand how numbers are composed hereunder is the way in the decimal and in the Kaktovik system. \bTABLE \bTR \bTD[nx=4,align=center] Decimal \eTD \bTD \strut \eTD \bTD[nx=4,align=center] Kaktovik \eTD \eTR \bTR \bTD $10^3$ \eTD \bTD $10^2$ \eTD \bTD $10^1$ \eTD \bTD $10^0$ \eTD \bTD \strut \eTD \bTD $20^3$ \eTD \bTD $20^2$ \eTD \bTD $20^1$ \eTD \bTD $20^0$ \eTD \eTR \bTR \bTD 1 \eTD \bTD 0 \eTD \bTD 0 \eTD \bTD 0 \eTD \bTD \strut \eTD \bTD 8 \eTD \bTD 0 \eTD \bTD 0 \eTD \bTD 0 \eTD \eTR \eTABLE The following table shows the relation between the vertical bars (1 to 4) and the horizontal bars tuplets of 5 \blank \bTABLE \setupTABLE[r][each][frame=off,align=flushright] \setupTABLE[r][even][style=\tfxx] \setupTABLE[r][odd][style=\tfd] \setupTABLE[c][1][frame=on] \setupTABLE[r][1][frame=on] \bTR \bTD[frame=off] \kaktoviknumerals{0}\eTD \bTD \kaktoviknumerals{1}\eTD \bTD \kaktoviknumerals{2}\eTD \bTD \kaktoviknumerals{3}\eTD \bTD \kaktoviknumerals{4}\eTD \eTR \bTR \bTD 0\eTD \bTD 1\eTD \bTD 2\eTD \bTD 3\eTD \bTD 4\eTD \eTR \bTR \bTD \kaktoviknumerals{5}\eTD \bTD \kaktoviknumerals{6}\eTD \bTD \kaktoviknumerals{7}\eTD \bTD \kaktoviknumerals{8}\eTD \bTD \kaktoviknumerals{9}\eTD \eTR \bTR \bTD 5\eTD \bTD 6\eTD \bTD 7\eTD \bTD 8\eTD \bTD 9\eTD \eTR \bTR \bTD \kaktoviknumerals{10}\eTD \bTD \kaktoviknumerals{11}\eTD \bTD \kaktoviknumerals{12}\eTD \bTD \kaktoviknumerals{13}\eTD \bTD \kaktoviknumerals{14}\eTD \eTR \bTR \bTD 10\eTD \bTD 11\eTD \bTD 12\eTD \bTD 13\eTD \bTD 14\eTD \eTR \bTR \bTD \kaktoviknumerals{15}\eTD \bTD \kaktoviknumerals{16}\eTD \bTD \kaktoviknumerals{17}\eTD \bTD \kaktoviknumerals{18}\eTD \bTD \kaktoviknumerals{19}\eTD \eTR \bTR \bTD 15\eTD \bTD 16\eTD \bTD 17\eTD \bTD 18\eTD \bTD 19\eTD \eTR \eTABLE \stopsubject \startsubject[title=Examples] \starttabulate[|r|Mr|r|] \NC 20 \NC 1 \times 20^1 + 0 \times 20^0\NC \kaktoviknumerals{1}\kaktoviknumerals{0} \NC\NR \NC 30 \NC 1 \times 20^1 + 10 \times 20^0\NC \kaktoviknumerals{1}\kaktoviknumerals{10} \NC\NR \NC 40 \NC 2 \times 20^1 + 0 \times 20^0 \NC \kaktoviknumerals{2}\kaktoviknumerals{0} \NC\NR \NC 100 \NC 5 \times 20^1 + 0 \times 20^0\NC \kaktoviknumerals{5}\kaktoviknumerals{0} \NC\NR \NC 1000 \NC 2 \times 20^2 + 10 \times 20^1 + 0 \times 20^0 \NC \kaktoviknumerals{2}\kaktoviknumerals{10}\kaktoviknumerals{0}\NC\NR \NC 2023 \NC 5 \times 20^2 + 0 \times 20^1 + 3 \times 20^0 \NC \kaktoviknumerals{5} \kaktoviknumerals{0}\kaktoviknumerals{1}\kaktoviknumerals{3}\NC\NR \stoptabulate \blank So the date of today would be: \blank 19 - 4 - 2023 \blank \kaktoviknumerals{19} -- \kaktoviknumerals{4} -- \kaktoviknumerals{5}\kaktoviknumerals{0}\kaktoviknumerals{1}\kaktoviknumerals{3} \blank Frappant is the possibility to solve arithmetic visually with these Kaktovik-numerals. The approach is to look how patterns fit in the left and right part of the equation. \starttabulate[|Ml|l|][EQ={$\rightarrow$}] \NC \rm Decimal \NC Kaktovik \NC\NR \NC 2 + 2 = 4 \EQ \kaktoviknumerals{2} $+$ \kaktoviknumerals{2} $=$ \kaktoviknumerals{4} \NC\NR \NC 17 - 7 = 10 \EQ \kaktoviknumerals{17} $-$ \kaktoviknumerals{7} $=$ \kaktoviknumerals{10} \NC\NR \NC 1503 / 3 \EQ \kaktoviknumerals{3}\kaktoviknumerals{15}\kaktoviknumerals{3} $/$ \kaktoviknumerals{3} $=$ \kaktoviknumerals{1}\kaktoviknumerals{5}\kaktoviknumerals{1} \NC\NR \NC 364 / 3 \EQ \kaktoviknumerals{18}\kaktoviknumerals{4} $/$ \kaktoviknumerals{3} $=$ \kaktoviknumerals{6}\kaktoviknumerals{1} remainder \kaktoviknumerals{1} \stoptabulate \stopsubject \stoptitle \stoptext [-- Attachment #4: Type: text/plain, Size: 878 bytes --] > On 18 Apr 2023, at 10:57, Henning Hraban Ramm via ntg-context <ntg-context@ntg.nl> wrote: > > I just came across this thread about the base-20 system of the Inuit people and the numerals invented for it in the 1990s: > https://mathstodon.xyz/@johncarlosbaez/110215432175491555 > > This makes simple calculations just beautiful. > > Hraban > ___________________________________________________________________________________ > If your question is of interest to others as well, please add an entry to the Wiki! > > maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context > webpage : https://www.pragma-ade.nl / http://context.aanhet.net > archive : https://bitbucket.org/phg/context-mirror/commits/ > wiki : https://contextgarden.net > ___________________________________________________________________________________ [-- Attachment #5: Type: text/plain, Size: 496 bytes --] ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-19 18:36 ` Willi Egger via ntg-context @ 2023-04-19 18:58 ` Gavin via ntg-context 2023-04-19 20:45 ` Willi Egger via ntg-context 0 siblings, 1 reply; 14+ messages in thread From: Gavin via ntg-context @ 2023-04-19 18:58 UTC (permalink / raw) To: mailing list for ConTeXt users; +Cc: Gavin, Willi Egger Hi Willi, What fun! I think I found a couple math items to correct. 1) The second line of the tables at the top of page 2 should be: 1000' 100, 10, 1; 8000, 400, 20, 1 2) For the year conversion: 2023 = 5x20^2 + 1x20 + 3. (Your 0 should be my 1). This will give a three digit Kaktovik numeral. You have 4 digit Kaktovik numerals for 2023, with both a 0 and a 1. Gavin > On Apr 19, 2023, at 12:36 PM, Willi Egger via ntg-context <ntg-context@ntg.nl> wrote: > > Hi all, > > after playing around and watching YouTube the attached composition is made… > > Willi > <kaktovik-numerals-info.pdf><kaktovik-numerals-info.tex> > >> On 18 Apr 2023, at 10:57, Henning Hraban Ramm via ntg-context <ntg-context@ntg.nl> wrote: >> >> I just came across this thread about the base-20 system of the Inuit people and the numerals invented for it in the 1990s: >> https://mathstodon.xyz/@johncarlosbaez/110215432175491555 >> >> This makes simple calculations just beautiful. >> >> Hraban >> ___________________________________________________________________________________ >> If your question is of interest to others as well, please add an entry to the Wiki! >> >> maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context >> webpage : https://www.pragma-ade.nl / http://context.aanhet.net >> archive : https://bitbucket.org/phg/context-mirror/commits/ >> wiki : https://contextgarden.net >> ___________________________________________________________________________________ > > ___________________________________________________________________________________ > If your question is of interest to others as well, please add an entry to the Wiki! > > maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context > webpage : https://www.pragma-ade.nl / http://context.aanhet.net > archive : https://bitbucket.org/phg/context-mirror/commits/ > wiki : https://contextgarden.net > ___________________________________________________________________________________ ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-19 18:58 ` Gavin via ntg-context @ 2023-04-19 20:45 ` Willi Egger via ntg-context 2023-04-19 21:41 ` Hans Hagen via ntg-context 0 siblings, 1 reply; 14+ messages in thread From: Willi Egger via ntg-context @ 2023-04-19 20:45 UTC (permalink / raw) To: mailing list for ConTeXt users; +Cc: Willi Egger [-- Attachment #1: Type: text/plain, Size: 123 bytes --] Hello Gavin, thank you so much for your input. — Indeed you are right. Please find attached the corrected version. [-- Attachment #2: kaktovik-numerals-info.pdf --] [-- Type: application/pdf, Size: 28423 bytes --] [-- Attachment #3: kaktovik-numerals-info.tex --] [-- Type: application/octet-stream, Size: 5436 bytes --] % ConTeXT file % filename: kaktovik-numerals-intro.tex % W. Egger % 19-04-2023 \input meta-imp-kaktovik.mkxl \definefontfeature [default] [default] [metapost=kaktovik] \setupbodyfont[dejavu] \setuppagenumbering[location=footer] \setuplayout [header=0pt] \starttext \starttitle[title=Kaktovik-numerals] \startsubject[title=Intro] On 18-04-2023 Haraban Ramm posted on the mailing-list about the Kaktovik numerals. \blank https://mathstodon.xyz/@johncarlosbaez/110215432175491555 \blank The Inuit have a counting system based on the base 20. Back in 1994 in the local school at Kaktovik in Alaska students developed a counting system for the local language on the base 20. There is a subunit in the form of 5. The counting system with base 20 is known in different cultures. e.g. The Mayans (Mexico) used a system with dots and horizontal bars. Even in modern languages there are traces of the base 20 counting system. e.g. French express 80 as \quote{quatre-vingt} and 90 as \quote{quatre-vingt-dix}... \stopsubject \startsubject[title=Hans Hagen's implementation] A couple of hours after Hraban's post, Hans came already up with an implementation of the Kaktovik-numeral-shapes in \METAFUN. \blank meta-imp-kaktovik.mkxl \stopsubject \startsubject[title=Further information on the Kaktovik-numerals-system] https://www.youtube.com/watch?v=EyS6FfczH0Q&ab_channel=Artifexian https://www.youtube.com/watch?v=fIZB4bRwxqI&ab_channel=Dave%27sMathVideos https://www.youtube.com/watch?v=ObRFHiU_r9I&ab_channel=TheFerret \stopsubject \startsubject[title=The key to writing numbers in Kaktovik system] In order to understand how numbers are composed hereunder is the way in the decimal and in the Kaktovik system. \bTABLE \bTR \bTD[nx=4,align=center] Decimal \eTD \bTD \strut \eTD \bTD[nx=4,align=center] Kaktovik \eTD \eTR \bTR \bTD $10^3$ \eTD \bTD $10^2$ \eTD \bTD $10^1$ \eTD \bTD $10^0$ \eTD \bTD \strut \eTD \bTD $20^3$ \eTD \bTD $20^2$ \eTD \bTD $20^1$ \eTD \bTD $20^0$ \eTD \eTR \bTR \bTD 1000 \eTD \bTD 100 \eTD \bTD 10 \eTD \bTD 1 \eTD \bTD \strut \eTD \bTD 8000 \eTD \bTD 400 \eTD \bTD 20 \eTD \bTD 1 \eTD \eTR \eTABLE The following table shows the relation between the vertical bars (1 to 4) and the horizontal bars tuplets of 5 \blank \bTABLE \setupTABLE[r][each][frame=off,align=flushright] \setupTABLE[r][even][style=\tfxx] \setupTABLE[r][odd][style=\tfd] \setupTABLE[c][1][frame=on] \setupTABLE[r][1][frame=on] \bTR \bTD[frame=off] \kaktoviknumerals{0}\eTD \bTD \kaktoviknumerals{1}\eTD \bTD \kaktoviknumerals{2}\eTD \bTD \kaktoviknumerals{3}\eTD \bTD \kaktoviknumerals{4}\eTD \eTR \bTR \bTD 0\eTD \bTD 1\eTD \bTD 2\eTD \bTD 3\eTD \bTD 4\eTD \eTR \bTR \bTD \kaktoviknumerals{5}\eTD \bTD \kaktoviknumerals{6}\eTD \bTD \kaktoviknumerals{7}\eTD \bTD \kaktoviknumerals{8}\eTD \bTD \kaktoviknumerals{9}\eTD \eTR \bTR \bTD 5\eTD \bTD 6\eTD \bTD 7\eTD \bTD 8\eTD \bTD 9\eTD \eTR \bTR \bTD \kaktoviknumerals{10}\eTD \bTD \kaktoviknumerals{11}\eTD \bTD \kaktoviknumerals{12}\eTD \bTD \kaktoviknumerals{13}\eTD \bTD \kaktoviknumerals{14}\eTD \eTR \bTR \bTD 10\eTD \bTD 11\eTD \bTD 12\eTD \bTD 13\eTD \bTD 14\eTD \eTR \bTR \bTD \kaktoviknumerals{15}\eTD \bTD \kaktoviknumerals{16}\eTD \bTD \kaktoviknumerals{17}\eTD \bTD \kaktoviknumerals{18}\eTD \bTD \kaktoviknumerals{19}\eTD \eTR \bTR \bTD 15\eTD \bTD 16\eTD \bTD 17\eTD \bTD 18\eTD \bTD 19\eTD \eTR \eTABLE \stopsubject \startsubject[title=Examples] \starttabulate[|r|Mr|r|] \NC 20 \NC 1 \times 20^1 + 0 \times 20^0\NC \kaktoviknumerals{1}\kaktoviknumerals{0} \NC\NR \NC 30 \NC 1 \times 20^1 + 10 \times 20^0\NC \kaktoviknumerals{1}\kaktoviknumerals{10} \NC\NR \NC 40 \NC 2 \times 20^1 + 0 \times 20^0 \NC \kaktoviknumerals{2}\kaktoviknumerals{0} \NC\NR \NC 100 \NC 5 \times 20^1 + 0 \times 20^0\NC \kaktoviknumerals{5}\kaktoviknumerals{0} \NC\NR \NC 1000 \NC 2 \times 20^2 + 10 \times 20^1 + 0 \times 20^0 \NC \kaktoviknumerals{2}\kaktoviknumerals{10}\kaktoviknumerals{0}\NC\NR \NC 2023 \NC 5 \times 20^2 + 1 \times 20^1 + 3 \times 20^0 \NC \kaktoviknumerals{5} \kaktoviknumerals{1}\kaktoviknumerals{3}\NC\NR \stoptabulate \blank So the date of today would be: \blank 19 - 4 - 2023 \blank \kaktoviknumerals{19} -- \kaktoviknumerals{4} -- \kaktoviknumerals{5}\kaktoviknumerals{1}\kaktoviknumerals{3} \blank Frappant is the possibility to solve arithmetic visually with these Kaktovik-numerals. The approach is to look how patterns fit in the left and right part of the equation. \blank The presented examples are from: https://www.youtube.com/watch?v=ObRFHiU_r9I&ab_channel=TheFerret \starttabulate[|Ml|l|][EQ={$\rightarrow$}] \NC \rm Decimal \NC Kaktovik \NC\NR \NC 2 + 2 = 4 \EQ \kaktoviknumerals{2} $+$ \kaktoviknumerals{2} $=$ \kaktoviknumerals{4} \NC\NR \NC 17 - 7 = 10 \EQ \kaktoviknumerals{17} $-$ \kaktoviknumerals{7} $=$ \kaktoviknumerals{10} \NC\NR \NC 1503 / 3 \EQ \kaktoviknumerals{3}\kaktoviknumerals{15}\kaktoviknumerals{3} $/$ \kaktoviknumerals{3} $=$ \kaktoviknumerals{1}\kaktoviknumerals{5}\kaktoviknumerals{1} \NC\NR \NC 364 / 3 \EQ \kaktoviknumerals{18}\kaktoviknumerals{4} $/$ \kaktoviknumerals{3} $=$ \kaktoviknumerals{6}\kaktoviknumerals{1} remainder \kaktoviknumerals{1} \stoptabulate \stopsubject \stoptitle \stoptext [-- Attachment #4: Type: text/plain, Size: 2746 bytes --] Willi > On 19 Apr 2023, at 20:58, Gavin via ntg-context <ntg-context@ntg.nl> wrote: > > Hi Willi, > > What fun! I think I found a couple math items to correct. > > 1) The second line of the tables at the top of page 2 should be: > 1000' 100, 10, 1; 8000, 400, 20, 1 > > 2) For the year conversion: 2023 = 5x20^2 + 1x20 + 3. (Your 0 should be my 1). This will give a three digit Kaktovik numeral. You have 4 digit Kaktovik numerals for 2023, with both a 0 and a 1. > > Gavin > > >> On Apr 19, 2023, at 12:36 PM, Willi Egger via ntg-context <ntg-context@ntg.nl> wrote: >> >> Hi all, >> >> after playing around and watching YouTube the attached composition is made… >> >> Willi >> <kaktovik-numerals-info.pdf><kaktovik-numerals-info.tex> >> >>> On 18 Apr 2023, at 10:57, Henning Hraban Ramm via ntg-context <ntg-context@ntg.nl> wrote: >>> >>> I just came across this thread about the base-20 system of the Inuit people and the numerals invented for it in the 1990s: >>> https://mathstodon.xyz/@johncarlosbaez/110215432175491555 >>> >>> This makes simple calculations just beautiful. >>> >>> Hraban >>> ___________________________________________________________________________________ >>> If your question is of interest to others as well, please add an entry to the Wiki! >>> >>> maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context >>> webpage : https://www.pragma-ade.nl / http://context.aanhet.net >>> archive : https://bitbucket.org/phg/context-mirror/commits/ >>> wiki : https://contextgarden.net >>> ___________________________________________________________________________________ >> >> ___________________________________________________________________________________ >> If your question is of interest to others as well, please add an entry to the Wiki! >> >> maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context >> webpage : https://www.pragma-ade.nl / http://context.aanhet.net >> archive : https://bitbucket.org/phg/context-mirror/commits/ >> wiki : https://contextgarden.net >> ___________________________________________________________________________________ > > ___________________________________________________________________________________ > If your question is of interest to others as well, please add an entry to the Wiki! > > maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context > webpage : https://www.pragma-ade.nl / http://context.aanhet.net > archive : https://bitbucket.org/phg/context-mirror/commits/ > wiki : https://contextgarden.net > ___________________________________________________________________________________ [-- Attachment #5: Type: text/plain, Size: 496 bytes --] ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-19 20:45 ` Willi Egger via ntg-context @ 2023-04-19 21:41 ` Hans Hagen via ntg-context 2023-04-20 16:06 ` Willi Egger via ntg-context 0 siblings, 1 reply; 14+ messages in thread From: Hans Hagen via ntg-context @ 2023-04-19 21:41 UTC (permalink / raw) To: Willi Egger via ntg-context; +Cc: Hans Hagen [-- Attachment #1: Type: text/plain, Size: 1391 bytes --] On 4/19/2023 10:45 PM, Willi Egger via ntg-context wrote: > Hello Gavin, > > thank you so much for your input. — Indeed you are right. Please find attached the corrected version. > > > > Willi > >> On 19 Apr 2023, at 20:58, Gavin via ntg-context <ntg-context@ntg.nl> wrote: >> >> Hi Willi, >> >> What fun! I think I found a couple math items to correct. >> >> 1) The second line of the tables at the top of page 2 should be: >> 1000' 100, 10, 1; 8000, 400, 20, 1 >> >> 2) For the year conversion: 2023 = 5x20^2 + 1x20 + 3. (Your 0 should be my 1). This will give a three digit Kaktovik numeral. You have 4 digit Kaktovik numerals for 2023, with both a 0 and a 1. je kunt direct dat nummer converteren maar blijkbaar gaf ik de verkeerde volgorde uit: \useMPlibrary[kaktovik] % de officiele manier \definefontfeature [default] [default] [metapost=kaktovik] \setupbodyfont[dejavu] \starttext 2023 \kaktoviknumerals{5}\kaktoviknumerals{1}\kaktoviknumerals{3} \kaktoviknumerals{2023} % deze split dus voor je, order fixed \stoptext ----------------------------------------------------------------- Hans Hagen | PRAGMA ADE Ridderstraat 27 | 8061 GH Hasselt | The Netherlands tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl ----------------------------------------------------------------- [-- Attachment #2: meta-imp-kaktovik.mkxl --] [-- Type: text/plain, Size: 4363 bytes --] %D \module %D [ file=meta-imp-kaktovik, %D version=2023.04.18, %D title=\METAPOST\ Graphics, %D subtitle=Kaktovik Numbers, %D author=Hans Hagen, %D date=\currentdate, %D copyright={PRAGMA ADE \& \CONTEXT\ Development Team}] %C %C This module is part of the \CONTEXT\ macro||package and is %C therefore copyrighted by \PRAGMA. See mreadme.pdf for %C details. %D Just a quick hack for Hraban (after a post on the mailing list). \startMPcalculation{simplefun} path kaktovik_glyphs[] ; def InitializeKaktovik = save p, d, u ; pair p[] ; numeric d ; d := .1 ; numeric u ; u := .15 ; % d := getparameterdefault "mpsfont" "d" .10 ; % u := getparameterdefault "mpsfont" "u" .15 ; p[0] := (0,1) ; p[1] := (1,0) ; p[2] := (2,1 - d) ; p[3] := (3,0) ; p[4] := (4,1 - 2d) ; p[5] := (4,1 + u) ; p[6] := (0,1 + 2u) ; p[7] := (4,1 + 4u) ; kaktovik_glyphs[0] := (1,1) { right } .. { left } (2,1/2) { left } .. { right } (3,1); for i= 1 upto 4 : kaktovik_glyphs[i] := p[0] for j=1 upto i : -- p[j] endfor ; endfor ; kaktovik_glyphs[ 5] := p[5] -- p[0] ; for i= 6 upto 9 : kaktovik_glyphs[i] := p[5] -- kaktovik_glyphs[i-5] ; endfor ; kaktovik_glyphs[10] := p[6] -- kaktovik_glyphs[ 5] ; for i=11 upto 14 : kaktovik_glyphs[i] := p[6] -- kaktovik_glyphs[i-5] ; endfor ; kaktovik_glyphs[15] := p[7] -- kaktovik_glyphs[10] ; for i=16 upto 19 : kaktovik_glyphs[i] := p[7] -- kaktovik_glyphs[i-5] ; endfor ; enddef ; vardef Kaktovik(expr i) = draw image ( draw kaktovik_glyphs[i] xscaled (10/20 -1/20) yscaled (25/20 -2/20) withpen (pencircle xscaled 1/20 yscaled 5/20) rotated -(2*20) % withpen (pencircle xscaled 1/40 yscaled 5/40) rotated -(2*20) % withpen (pencircle xscaled 2.5/40 yscaled 5/40) rotated -(2*20) ; ) shifted (2/20,2/20) enddef ; lmt_registerglyphs [ name = "kaktovik", units = 2, usecolor = true, width = 2, height = 2, depth = 0, preamble = "InitializeKaktovik" ] ; for i=0 upto 19 : lmt_registerglyph [ category = "kaktovik", unicode = 119488 + i, % "0x1D2C0" code = "Kaktovik(" & decimal i & ")" ] ; endfor ; \stopMPcalculation \startluacode interfaces.implement { name = "kaktoviknumerals", arguments = "integer", actions = function(n) local digits = { } local count = 1 while true do digits[count] = utf.char(0x1D2C0 + (n % 20)) n = n // 20 if n == 0 then break; end count = count + 1 end table.reverse(digits) context("%t",digits) end } \stopluacode \unprotect \permanent\def\kaktoviknumerals#1{\clf_kaktoviknumerals\numexpr#1\relax} \defineconversion [kaktoviknumerals] [\kaktoviknumerals] \defineconversion [K] [\kaktoviknumerals] \definefontfeature [kaktovik] [metapost=kaktovik] \protect \continueifinputfile{meta-imp-kaktovik.mkxl} \definefontfeature [default] [default] [metapost=kaktovik] % [metapost={category=kaktovik,u=.25,d=.20,x=}] \setupbodyfont[dejavu] % \nopdfcompression \startTEXpage[offset=1ts,width=3es] \start \showglyphs KAKTOVIK \dostepwiserecurse{0}{19}{1}{\kaktoviknumerals{#1}\space } \stop kaktovik \start \red\glyphxscale 700 \dostepwiserecurse{0}{19}{1}{\kaktoviknumerals{#1}\space } \stop \startitemize[packed,K][color=orange,stopper=] \startitem first \stopitem \startitem second \stopitem \startitem third \stopitem \stopitemize KAKTOVIK \start \red \kaktoviknumerals{2023} -- \green\kaktoviknumerals{4} -- \blue \kaktoviknumerals{18} \stop KAKTOVIK \stopTEXpage [-- Attachment #3: Type: text/plain, Size: 496 bytes --] ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
* Re: [NTG-context] Kaktovik numerals 2023-04-19 21:41 ` Hans Hagen via ntg-context @ 2023-04-20 16:06 ` Willi Egger via ntg-context 0 siblings, 0 replies; 14+ messages in thread From: Willi Egger via ntg-context @ 2023-04-20 16:06 UTC (permalink / raw) To: mailing list for ConTeXt users; +Cc: Willi Egger Hans thank you very much for this update. Indeed now automatic conversion comes out correctly. Willi > On 19 Apr 2023, at 23:41, Hans Hagen via ntg-context <ntg-context@ntg.nl> wrote: > > On 4/19/2023 10:45 PM, Willi Egger via ntg-context wrote: >> Hello Gavin, >> thank you so much for your input. — Indeed you are right. Please find attached the corrected version. >> Willi >>> On 19 Apr 2023, at 20:58, Gavin via ntg-context <ntg-context@ntg.nl> wrote: >>> >>> Hi Willi, >>> >>> What fun! I think I found a couple math items to correct. >>> >>> 1) The second line of the tables at the top of page 2 should be: >>> 1000' 100, 10, 1; 8000, 400, 20, 1 >>> >>> 2) For the year conversion: 2023 = 5x20^2 + 1x20 + 3. (Your 0 should be my 1). This will give a three digit Kaktovik numeral. You have 4 digit Kaktovik numerals for 2023, with both a 0 and a 1. > je kunt direct dat nummer converteren maar blijkbaar gaf ik de verkeerde volgorde uit: > > \useMPlibrary[kaktovik] % de officiele manier > > \definefontfeature > [default] > [default] > [metapost=kaktovik] > > \setupbodyfont[dejavu] > > \starttext > 2023 \kaktoviknumerals{5}\kaktoviknumerals{1}\kaktoviknumerals{3} > > \kaktoviknumerals{2023} % deze split dus voor je, order fixed > > \stoptext > > > ----------------------------------------------------------------- > Hans Hagen | PRAGMA ADE > Ridderstraat 27 | 8061 GH Hasselt | The Netherlands > tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl > ----------------------------------------------------------------- > <meta-imp-kaktovik.mkxl>___________________________________________________________________________________ > If your question is of interest to others as well, please add an entry to the Wiki! > > maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context > webpage : https://www.pragma-ade.nl / http://context.aanhet.net > archive : https://bitbucket.org/phg/context-mirror/commits/ > wiki : https://contextgarden.net > ___________________________________________________________________________________ ___________________________________________________________________________________ If your question is of interest to others as well, please add an entry to the Wiki! maillist : ntg-context@ntg.nl / https://www.ntg.nl/mailman/listinfo/ntg-context webpage : https://www.pragma-ade.nl / http://context.aanhet.net archive : https://bitbucket.org/phg/context-mirror/commits/ wiki : https://contextgarden.net ___________________________________________________________________________________ ^ permalink raw reply [flat|nested] 14+ messages in thread
end of thread, other threads:[~2023-04-20 16:07 UTC | newest] Thread overview: 14+ messages (download: mbox.gz / follow: Atom feed) -- links below jump to the message on this page -- 2023-04-18 8:57 [NTG-context] Kaktovik numerals Henning Hraban Ramm via ntg-context 2023-04-18 9:23 ` Arthur Rosendahl via ntg-context 2023-04-18 13:01 ` Hans Hagen via ntg-context 2023-04-18 13:52 ` Willi Egger via ntg-context 2023-04-19 12:29 ` Henning Hraban Ramm via ntg-context 2023-04-18 13:41 ` Willi Egger via ntg-context 2023-04-18 15:50 ` Rudolf Bahr via ntg-context 2023-04-18 17:19 ` Otared Kavian via ntg-context 2023-04-19 15:17 ` Willi Egger via ntg-context 2023-04-19 18:36 ` Willi Egger via ntg-context 2023-04-19 18:58 ` Gavin via ntg-context 2023-04-19 20:45 ` Willi Egger via ntg-context 2023-04-19 21:41 ` Hans Hagen via ntg-context 2023-04-20 16:06 ` Willi Egger via ntg-context
This is a public inbox, see mirroring instructions for how to clone and mirror all data and code used for this inbox; as well as URLs for NNTP newsgroup(s).