* [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 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 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 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 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
` (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).