Most-perfect magic square

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  1. w:de:vollkommen perfektes magisches Quadrat
  2. w:en:most-perfect magic square
  3. w:fr:carré magique plus que parfait
  4. w:hi:आदर्श जादुई वर्ग
w:en:ISO 15924#List of codes · (Q16866)
w:en:Indian numerals · w:fr:numération indienne · Q2721451
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Contents

preliminary

#top
Information on most-perfect magic squares is available today at de:, en:, fr: and hi:. Beside this some four hundred pages where available but deleted at Meta; see m:project:Requests for deletion#multiscript collaboration.
Please help restore that content. Thanks in advance for your support! lɛʁi ʁɑjnhɑʁt (Leri Reinhart)
‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 07:34, 9 August 2015 (UTC)
The values for the 384 indistinguishable / mutually equivalent most-perfect magic squares are from the Chautisa Yantra in the Parshvanath Jain temple in Khajuraho. ‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 09:35, 9 August 2015 (UTC)
All most-perfect magic squares are 4n pandiagonal magic squares (diabolic squares).

feedback

#top

  1. Please see en:user talk:לערי ריינהארט#Text reading and translation request First responce. Thanks a lot Mahitgar! · ‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 15:17, 9 August 2015 (UTC)
  2. Thanks w:en:user:Cmglee · user:Cmglee! · 11 August 2015 (UTC)
  3. see #Guru: chiffres Gurmukhi plus proches de l'original + translittération + numération indienne Thanks fr:user:Anne Bauval · user:Anne Bauval! · ‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 14:47, 12 August 2015 (UTC)

theory and applications

c:project:Story (game) - multilingual interdisciplinary collaborative work · #Media (examples)

c:project:rakonto
w:en:…sandbox (text)
w:en:…sandbox (table)
different squares

tesseract (8-cell) 24-cell
SVG: file:Hypercubecentral.svg
SVG: file:Hypercube.svg
SVG: file:Hypercube cubes.svg
SVG: file:4dcube.svg
SVG: file:24 Cell Polytope.svg
SVG: file:24 Cell Polytopeb.svg
SVG: file:24-cell duals.svg
SVG: file:Versor action on Hurwitz quaternions.svg
8-cell.gif
24-cell.gif
 
Clarke's third law: Any sufficiently advanced technology is indistinguishable from magic.

24
384

As a result one can interpret the noncommutative group of the 384 mutually indistinguishable most-perfect magic square of order 4 as construct which is homomorphic with a cross product of a tesseract with a 24-cell in the 8 dimensional space.

restored from meta: (work prior to 2007)

template:4x4 type squarespecial:Prefixindex/template:4x4 type square

different representations of the reference square    revID: 344603 diff · PAGEID: 82332 links here · #focus · W3C CSS Validator   Purge ↺
 

transition T001
00 01 02 03
10 11 12 13
20 21 22 23
30 31 32 33
 →  * * * * * * * * * * * (*)
:|00|01|02|03|10|11|12|13|20|21|22|23|30|31|32|33|:
 

values 1 to 16
09 16 05 04
07 02 11 14
12 13 08 01
06 03 10 15
 →  * * * * * * * * * * * (*)
:|09|16|05|04|07|02|11|14|12|13|08|01|06|03|10|15|:
 

values 0 to 15
08 15 04 03
06 01 10 13
11 12 07 00
05 02 09 14
 →  * * * * * * * * * * * (*)
:|08|15|04|03|06|01|10|13|11|12|07|00|05|02|09|14|:
 

values -15 to 15
1 15 -7 -9
-3 -13 5 11
7 9 -1 -15
-5 -11 3 13
 →  * * * * * * * * * * * (*)
:|1|15|-7|-9|-3|-13|5|11|7|9|-1|-15|-5|-11|3|13|:
 
complement of last
-1 -15 7 9
3 13 -5 -11
-7 -9 1 15
5 11 -3 -13
 →  * * * * * * * * * * * (*)
:|-1|-15|7|9|3|13|-5|-11|-7|-9|1|15|5|11|-3|-13|:


see also

Other names: Nasik Square, Chautisa Yantra, more ???, strongly magic square ???

Should we reference to the square as "Khajuraho square" and / or "Khajuraho magic square"? [3] [4]
also reffered as: "Sri Rama Chakra[5]
note: the refference url is used twice on this page
‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 09:31, 16 August 2015 (UTC)

relevant talk pages at other WMF projects

#top

WMF resources

#top

Euler diagram of requirements of some types of 4×4 magic squares. Cells of the same colour sum to the magic constant.
* In 4×4 most-perfect magic squares, any 2 cells that are 2 cells diagonally apart (including wraparound) sum to half the magic constant, hence any 2 such pairs also sum to the magic constant.
Rakonto.jpg
DiabolicSquare-Order4.svg
15 10 3 6
4 5 16 9
14 11 2 7
1 8 13 12
15 10 6 3
4 5 9 16
1 8 12 13
14 11 7 2
generic abstract pattern 1. SVG file most-perfect
magic square
reversible variant


file:PanmagicSquare-Order4.png
3 10 15 6
13 8 1 12
2 11 14 7
16 5 4 9
3 10 6 15
13 8 12 1
16 5 9 4
2 11 7 14
PNG file 2. SVG file
(draft)
most-perfect
magic square
reversible variant


Ferningar storhundrad 001.svg
0 14 9 7
11 5 2 12
6 8 15 1
13 3 4 10
0 14 7 9
11 5 12 2
13 3 10 4
6 8 1 15
3. SVG file most-perfect
magic square
reversible variant


SVG file source code 01

#collapsed paragraphs
→→ #collapsed SVG file source code 01
modified SVG code
#collapsed paragraphs
→→ #collapsed modified SVG code
first step
#collapsed paragraphs
→→ #collapsed first step
participants

#top/invited

  1. לערי ריינהארט lɛʁi ʁɑjnhɑʁt (Leri Reinhart) You may reach me via the freenode channel kavehoyz where my username are gangleri|back, gangleri|away or similar gangleri|foobar or at Skype where my username is irelgnag
  2. user:Alkanot4ran freenode: fluktusduktus@irc.freenode.net
  3. (your signature)
stepwise improvements
#collapsed paragraphs
→→ #collapsed stepwise improvements
SVG interactive animation
#collapsed paragraphs
→→ #collapsed SVG interactive animatio

BiDi issues

m:template talk:Translatable template#BiDi issues

list of RTL and / or BiDi WMF subdomains:
m:BiDi workgroup · m:interwiki map · m:special:SiteMatrix
Arab: ar:, arz:, azb:, ckb:, dv:, fa:, glk:, ha: BiDi, ks:, ku: BiDi, lrc:, mzn:, pnb:, ps:, sd: BiDi, tk: BiDi ?, ug:, ur:, etc.
Aram: arc:
Hebr: he:, lad: BiDi, yi:, etc.
added: 18:44, 15 August 2015 (UTC)


Latn

#top template talk:4x4 type square#Latn

  1. w:de:vollkommen perfektes magisches Quadrat g
  2. w:en:most-perfect magic square g
  3. w:fr:carré magique plus que parfait g
X mark.svg search Unicode beside ASVII; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho
The bottom row shows the numeral glyphs as they appear in type in German incunabula (Nicolaus Kesler, Basle, 1486)


Magic square#Europe · Magic Square of Jupiter

This page from Athanasius Kircher's Oedipus Aegyptiacus (1653) belongs to a treatise on magic squares and shows the Sigillum Iovis associated with Jupiter

In 1300, building on the work of the Arab Al-Buni, Greek Byzantine scholar Manuel Moschopoulos wrote a mathematical treatise on the subject of magic squares, leaving out the mysticism of his predecessors.[6] ...

numerals in daily life

X mark.svg add collection of "Banknotes of foobar" images

Western Arabic numerals sans-serif
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Arabic numerals-de.svg

re: numerals 0..9 and their (Unicode) encoding
"Arabic numerals or Hindu-Arabic numerals or Indo-Arabic numerals are the ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9."
There should be a note about these glyphs. While Latn.a is a homoglyph of Cyrl.а the digits are coded the same way in Latn, Cyrl, Grec, secular Hebr and other ISO 15924 scripts. ar.Wikipedia is using Western Arabic numerals in years, paragraph counting, etc. while the number plates in some Arabic countries are using the digits from the Arab Unicode block.
A note about numeral encoding is missing in most articles about such scripts.

Roman numerals

#top template talk:4x4 type square#Latn/Roman
X mark.svg use UTF-8 and fonts; search Unicode; add relevant data / links / images; add improved wikitable code

Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
VII XII I XIV
II XIII VIII XI
XVI III X V
IX VI XV IV
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


binary

#top template talk:4x4 type square#Latn/binary

Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
0111 1100 001 1110
0010 1101 1000 1011
10000 0011 1010 0101
1001 0110 1111 0100
binary transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


quaternions

from w:en:Frénicle standard form:

Generalising the concept of essentially different squares

384

For each group of magic squares one might identify the corresponding group of automorphisms, the group of transformations preserving the special properties of this group of magic squares. This way one can identify the number of different magic square classes.

From the perspective of Galois theory the most-perfect magic squares are not distinguishable. This means that the number of elements in the associated Galois group is 1. Please compare {{OEIS2C|A051235}} Number of essentially different most-perfect pandiagonal magic squares of order 4n. with {{OEIS2C|A000012}} The simplest sequence of positive numbers: the all 1's sequence.

reversible variants

Melancholie I

Albrecht Dürer - Melencolia I (detail).jpg
16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
16 3 13 2
5 10 8 11
4 15 1 14
9 6 12 7
detail reversible variant most-perfect
magic square
Melancholie I
by Albrecht Dürer, 1514


Yang-Hui square also referred to as the Magic Square of Jupiter

一六
一一 一四
一五
一三 一二
16 5 9 4
2 11 7 14
3 10 6 15
13 8 12 1
16 5 4 9
2 11 14 7
13 8 1 12
3 10 15 6
Yang-Hui square transcription
reversible variant
most-perfect
magic square
Yang-Hui square also referred to as the Magic Square of Jupiter


arabic version of the Magic Square of Jupiter

w:en:File:Magic square 4x4 Shams Al-maarif3 (Arabic magics).jpg
٤ ١٤ ١٥ ١
٩ ٧ ٦ ١٢
٥ ١١ ١٠ ٨
١٦ ٢ ٣ ١٣
4 14 15 1
9 7 6 12
5 11 10 8
16 2 3 13
4 14 1 15
9 7 12 6
16 2 13 3
5 11 8 10
detail digital square transcription
reversible variant
most-perfect
magic square
arabic version of the Magic Square of Jupiter


comparision of some Magic Square of Jupiter versions

16 5 9 4
2 11 7 14
3 10 6 15
13 8 12 1
4 14 15 1
9 7 6 12
5 11 10 8
16 2 3 13
16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1
Yang-Hui square arabic version
Shams Al-maarif3
(Arabic magics)
Melancholie I
by Albrecht Dürer, 1514
comparision of some Magic Square of Jupiter versions


Deva

#top template talk:4x4 type square#Deva

  1. w:hi:आदर्श जादुई वर्ग g
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
१२ १४
१३ ११
१६ १०
१५
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
भारतीय अंकों

का ट्रांस्क्रिप्शन

आदर्श जादुई वर्ग


Guru

#top template talk:4x4 type square#Guru X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code

chiffres Gurmukhi plus proches de l'original + translittération + numération indienne Thanks fr:user:Anne Bauval · user:Anne Bauval!
https://pa.wikipedia.org/?curid=602#multiscript_collaboration
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
भारतीय अंकों

का ट्रांस्क्रिप्शन

आदर्श जादुई वर्ग


Sriramachakra

१६
११ १४
१२ १३
१० १५
9 16 5 4
7 2 11 14
12 13 8 1
6 3 10 15
see Sriramachakra
transcription of
the indian numerals

While the values 7, 2, 11 and 14 belong to a (broken) 2x2 subsquare of the Khajuraho square they form the second line of the Sriramachakra most magic square. It is evident that such a transformation is not a transformation specified in the definition of the Frénicle standard form: neither neighbour relations nor orthogonal relations are preserved. The transformation illustrates the necessity of a generalised concept of essentially different squares. ‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 08:46, 9 August 2015 (UTC)

Arab

#top template talk:4x4 type square#Arab
X mark.svg add all relevant Unicode blocks for Arab, list of WMF subdomains using Arab, Farsi more ? #Aran Arabic (Nastaliq variant) #Xpeo Old Persian cuneiform
search Unicode; add relevant data / links / images; add improved wikitable code

Arabic numerals-de.svg
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
ISO 15924: Guru
٧ ١٢ ١ ١٤
٢ ١٣ ٨ ١١
١٦ ٣ ١٠ ٥
٩ ٦ ١٥ ٤
ISO 15924: Arab
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
ISO 15924: Latn
transcription of
the Indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho, Rajasthan


Persia

X mark.svg Not done investigate
w:en: https:special:Prefixindex/file:Magic_square_4x4_Shams_Al-maarif

  1. w:en:file:Magic square 4x4 Shams Al-maarif (Arabic magics).jpg not used
  2. w:en:file:Magic square 4x4 Shams Al-maarif2 (Arabic magics).jpg|thumb|widthpx|Original script from the w:en:Shams al-Ma'arif.
  3. w:en:file:Magic square 4x4 Shams Al-maarif3 (Arabic magics).jpg|thumb|widthpx|Printed version of the previous manuscript Eastern Arabic numerals were used.


Arabia

X mark.svg Not done investigate

Aran

#top template talk:4x4 type square#Aran
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Arabic (Nastaliq variant)


Xpeo

#top template talk:4x4 type square#Xpeo
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Old Persian cuneiform


Armi

#top template talk:4x4 type square#Armi
Aramaic alphabet (d:26978) · Unicode range: U+ U+10840–U+1085F · Unicode numerals: N/A · Unicode alias: Imperial Aramaic

The Ancient Aramaic alphabet is adapted from the Phoenician alphabet #Phnx and became distinctive from it by the 8th century BCE. It was used to write the Aramaic language. The letters all represent consonants, some of which are matres lectionis, which also indicate long vowels
The Aramaic alphabet is historically significant, since virtually all modern Middle Eastern writing systems can be traced back to it, as well as numerous non-Chinese writing systems of Central and East Asia. This is primarily due to the widespread usage of the Aramaic language as both a lingua franca and the official language of the Neo-Assyrian Empire, and its successor, the Achaemenid Empire. Among the scripts in modern use, the Hebrew alphabet #Hebr bears the closest relation to the Imperial Aramaic script of the 5th century BC, with an identical letter inventory and, for the most part, nearly identical letter shapes.
Writing systems that indicate consonants but do not indicate most vowels (like the Aramaic one) or indicate them with added diacritical signs, have been called abjads by Peter T. Daniels to distinguish them from later alphabets, such as Greek, that represent vowels more systematically.
X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code


Phnx

#top template talk:4x4 type square#PhnxPhoenician alphabet

X mark.svg '


Syrc

#top template talk:4x4 type square#Syrc
Syriac alphabet

X mark.svg '


Syre

Syriac (Estrangelo variant)

see: #Syrc

Syrj

Syriac (Western variant)

see: #Syrc

Syrn

Syriac (Eastern variant)

see: #Syrc

Armn

#top template talk:4x4 type square#Armn

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
Է ԺԲ Ա ԺԴ
Բ ԺԳ Ը ԺԱ
ԺԶ Գ Ժ Ե
Թ Զ ԺԵ Դ
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Beng

#top template talk:4x4 type square#Beng

X mark.svg add links to Bengali and Asameese; search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
১২ ১৪
১৩ ১১
১৬ ১০
১৫
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho
  1. Bengali-Assamese numerals


Cyrl

#top template talk:4x4 type square#Cyrl

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Cyrs

#top template talk:4x4 type square#Cyrs

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Slavonic-numerals-en.svg


Grek

#top template talk:4x4 type square#Grek

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
Ζʹ ΙʹΒʹ Αʹ ΙʹΔʹ
Βʹ ΙʹΓʹ Ηʹ ΙʹΑʹ
ΙʹϚʹ Γʹ Ιʹ Εʹ
Θʹ Ϛʹ ΙʹΕʹ Δʹ
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Gujr

#top template talk:4x4 type square#Gujr

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
૧૨ ૧૪
૧૩ ૧૧
૧૬ ૧૦
૧૫
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


CJK · Hani · Hans · Hant · Jpan

#top template talk:4x4 type square#Hani

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code

[7] The Unidode numerals for the ISO 15924 script codes Hani, Hans, Hant and Jpan are using the same values
0: U+3007 :〇, 1: U+4E00 :一, 2: U+4E8C :二, 3: U+4E09 :三, 4: U+56DB :四,
5: U+4E94 :五, 6: U+516D :六, 7: U+4E03 :七, 6: U+516B :八, 9: U+4E5D :九
According to the Unicode standard version 3.0, these characters are called Hangzhou style numerals Suzhou numerals#Symbols. This indicates that it is not used only by Cantonese in Hong Kong. In the Unicode standard 4.0, an erratum was added which stated:

The digits of the Suzhou numerals are designated in the CJK Symbols and Punctuation block between U+3021 and U+3029, U+3007, U+5341, U+5344, and. U+5345.

CJK Unified Ideographs (d:Q796156) · Unicode range: see list above · Unicode numerals: see list above · Unicode alias: Hani

The Chinese, Japanese and Korean (CJK) scripts share a common background. In the process called Han unification the common (shared) characters were identified, and named "CJK Unified Ideographs". Unicode defines a total of 80,388 CJK Unified Ideographs.[8]
The terms ideographs or ideograms may be misleading, since the Chinese script is not strictly a picture writing system.
Historically, Vietnam used Chinese ideographs too, so sometimes the abbreviation "CJKV#CJKV is used. This system was replaced by the Latin-based Vietnamese alphabet in the 1920s.

→→ Hani: ZZZZ
→→ Hans: ZZZZ
→→ Hant: ZZZZ
→→ Jpan: Japanese numerals (d:Q1337084) · Japanese writing system (d:Q190502) · Japanese language (d:Q5287) · LANG xml:lang hreflanghreflang g HTML attribute ja, jpn · see: CJK, Kanji

X mark.svg add more details
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
十二 十四
十三 十一
十六
十五
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho

Please note that the Unicode encoding for the potential homoglyphs might differ between the Hans · Hant · Jpan etc. scripts. ‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 06:23, 17 August 2015 (UTC)

Hebr

#top template talk:4x4 type square#Hebr

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
ז׳ י״ב א׳ י״ד
ב׳ י״ג ח׳ י״א
ט״ז ג׳ י׳ ה׳
ט׳ ו׳ ט״ו ד׳
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Knda

#top template talk:4x4 type square#Knda

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
೧೨ ೧೪
೧೩ ೧೧
೧೬ ೧೦
೧೫
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Kore

#top template talk:4x4 type square#Kore

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
일곱 열둘 하나 열넷
열셋 여덟 열하나
열여섯 다섯
아홉 여섯 열다섯
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Lepc

#top template talk:4x4 type square#Lepc

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Lepcha alphabet (d:Q1481626) · Unicode range: U+1C00–U+1C4F · Unicode numerals: U+1C40–U+1C49 · Unicode alias: Lepcha
The Lepcha script, or Róng script is an abugida used by the Lepcha people to write the Lepcha language.
X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho
Lepcha numeralls


Maya

#top template talk:4x4 type square#Maya

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code

Maya script (d:Q1481626) · Unicode range: N/A · Unicode numerals: N/A · Unicode alias: N/A
MLaTeX (d:Q5310) · mathabx Mayan Digits page 72 table 200

Maya.svg
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho
: \maya{0}
: \maya{1}
: \maya{2}
: \maya{3}
: \maya{4}
: \maya{5}
\maya{0}
\maya{1}
\maya{2}
\maya{3}
\maya{4}
\maya{5}


Mlym

#top template talk:4x4 type square#Mlym

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
൧൨ ൧൪
൧൩ ൧൧
൧൬ ൧൦
൧൫
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Mymr

#top template talk:4x4 type square#Mymr

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
၁၂ ၁၄
၁၃ ၁၁
၁၆ ၁๐
၁၅
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho
  1. w:en:Burmese numerals


Orya

#top template talk:4x4 type square#Orya

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
୧୨ ୧୪
୧୩ ୧୧
୧୬ ୧୦
୧୫
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho
  1. Odia language


Runr

#top template talk:4x4 type square#Runr

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code; search fonts
100%
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Sinh

#top template talk:4x4 type square#Sinh

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
  1. Sinhala numerals
  2. Sinhala alphabet

Taml

#top template talk:4x4 type square#Taml

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
௧௨ ௧௪
௧௩ ௧௧
௧௬ ௧೦
௧௫
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Telu

#top template talk:4x4 type square#Telu

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
౧౨ ౧౪
౧౩ ౧౧
౧౬ ౧౦
౧౫
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Tibt

#top template talk:4x4 type square#Tibt

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code
Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
༡༢ ༡༤
༡༣ ༡༡
༡༦ ༡༠
༡༥
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


Xsux

#top template talk:4x4 type square#Xsux

X mark.svg search Unicode; add relevant data / links / images; add improved wikitable code; search fonts

Cuneiform, Sumero-Akkadian

Fleygletur a 01.png Fleygletur a 10.png Fleygletur a 13.png Fleygletur a 06.png
Fleygletur a 12.png Fleygletur a 07.png Fleygletur a 00.png Fleygletur a 11.png
Fleygletur a 02.png Fleygletur a 09.png Fleygletur a 14.png Fleygletur a 05.png
Fleygletur a 15.png Fleygletur a 04.png Fleygletur a 03.png Fleygletur a 08.png
Babylonian numerals
Ferningar storhundrad 002.png


Magic square at the Parshvanatha temple, Khajuraho.png
੧੨ ੧੪
੧੩ ੧੧
੧੬ ੧०
੧੫
7 12 1 14
2 13 8 11
16 3 10 5
9 6 15 4
transcription of
the indian numerals
Fleygletur a 07.png Fleygletur a 12.png Fleygletur a 01.png Fleygletur a 14.png
Fleygletur a 02.png Fleygletur a 13.png Fleygletur a 08.png Fleygletur a 11.png
Fleygletur a 16.png Fleygletur a 03.png Fleygletur a 10.png Fleygletur a 05.png
Fleygletur a 09.png Fleygletur a 06.png Fleygletur a 15.png Fleygletur a 04.png
Babylonian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho


to do

#top

X mark.svg 'update', expand / new / move done
search Unicode; add relevant data / links / images; add improved wikitable code
  • add google link to "foobar" as:
&nbsp;<code>foobar</code>="foo" <sup>[[google:{{URLENCODE:foobar|PATH}}|g]]</sup>

new bugs / feature requests

#top

→→ new bugs / feature requests at additional comments
  1. bug: <span dir="ltr" text: style="text-align:center"> does not work in thumbs in
    [[file:foo.bar|thumb|right|200px|<span dir="ltr" text: style="text-align:center">foo
    bar
    foobar]]</nowiki>
  2. bug: <br /> is rendered inside <brnowiki>... <br /> ...</nowiki>

  1. feature request: edits on special:MyPage should generate notifications same as already done on special:MyTalk

Yes check.svg Done

#top

  • added class="nowrap" nowrap g
  • added "LANG" LANG="foo" g
  • added "xml:lang" xml:lang="foo" g
  • added "hreflang" hreflang="foo" g
  • added "align-right" align-right g

new SVG animations

#top

  • about properties
  • about generation
  • about transformation
Albrecht Dürer - Melencolia I (detail).jpg
Abstrakt.svg
Abstract - Dürer.svg
exchanged cell 3,3 with cell 4,4
exchanged cell 3,4 with cell 4,3
exchanged cell 1,3 with cell 1,4
exchanged cell 2,3 with cell 2,4
exchanged cell 3,1 with cell 4,1
exchanged cell 3,2 with cell 4,2
The modified svg files contain now the patterns of these 4x4 types squares and include comments and hints for the transformation between c:File:Abstrakt.svg (for w:en:Most-perfect magic square) and the related/corresponding generic/abstract/general pattern of File:Albrecht Dürer - Melencolia I (abstrakt detail).svg like 4x4 squares
‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 18:08, 8 August 2015 (UTC)

mathematics of the most-perfect magic square

#top

to be added soon ‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 07:24, 17 August 2015 (UTC)


notes

#top

X mark.svg use references with <ref>foobar</ref>
  1. ^ T V Padmakumar (August 1997). "Strongly magic squares" (PDF). The Fibonacci Quarterly. 35 (3): 198–205. Retrieved 24 May 2013. 
  2. ^ "Self-taught mathematician unravels the mysteries of magic squares". Retrieved 24 May 2013. 
  3. ^ Stephan Berendonk, Providing the loneliness of the Khajuraho square, The Mathematical Gazette http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9589342
  4. ^ Inder Jeet Taneja, xxx, Equivalent Versions of "Khajuraho" and "Lo-Shu" Magic Squares and the day 1st October 2010 (01.10.2010) http://arxiv.org/pdf/1011.0451.pdf
  5. ^ T.V.Padmakumar: Arbeit über Quadrate des Typs „Sri Rama Chakra“ http://www.talent-kerala.net/previous/jul2002htm/10.htm
  6. ^ Manuel Moschopoulos – Mathematics and the Liberal Arts
  7. ^ Murray Bourne: Unicode characters for Chinese and Japanese numbers, 29 Nov 2008
  8. ^ Unicode Character Database PropList.txt


references

#top

X mark.svg find more descriptive references

  • {{MathWorld|urlname=MagicSquare|title=Magic Square}}
  • Nasik Square is a sort of redirect {{MathWorld|urlname=NasikSquare|title=Nasik Square}}
  • {{MathWorld|urlname=PanmagicSquare|title=Panmagic Square}}






other languages linked to most-perfect magic square (d:Q450098)

#top

X mark.svg verify
  1. ... your work ...

Thanks for any help! ‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 19:32, 8 August 2015 (UTC)

comments

#top

X mark.svg Not done
  1. ... your comments ...

collapsed paragraphs

#top

X mark.svg 'feature request:' anchor does not jump to the right paragraphs
is this reported already?

collapsed SVG file source code 01

#top · #WMF resources · #end of page

collapsed modified SVG code

#top · #WMF resources · #end of page

collapsed first step

#top · #WMF resources · #end of page

collapsed stepwise improvements

#top · #WMF resources · #end of page

c:project:Help desk#today this is a draft · how to improve the SVG file

collapsed SVG interactive animation

#top · #WMF resources · #end of page

end of page

#top