Most-perfect magic square

${\displaystyle 2^{n}\cdot ({\frac {n}{2}}!)^{2}\cdot \beth (e_{1},...,e_{M})\,}$ different squares
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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.
‫·‏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

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:rakonto
w:en:…sandbox (text)
w:en:…sandbox (table)
${\displaystyle 2^{n}\cdot ({\frac {n}{2}}!)^{2}\cdot \beth (e_{1},...,e_{M})\,}$ different squares

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

24
384
${\displaystyle 384=2^{7}\cdot 3\,}$
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)

different representations of the reference square    revID: - 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|:

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]
‫·‏לערי ריינהארט‏·‏T‏·‏m‏:‏Th‏·‏T‏·‏email me‏·‏‬ 09:31, 16 August 2015 (UTC)

WMF resources

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.
 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

 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

 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
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
stepwise improvements
#collapsed paragraphs
→→ #collapsed stepwise improvements
SVG interactive animation
#collapsed paragraphs
→→ #collapsed SVG interactive animatio

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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 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

add collection of "Banknotes of foobar" images

Western Arabic numerals sans-serif

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
use UTF-8 and fonts; search Unicode; add relevant data / links / images; add improved wikitable code

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 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

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

 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 五 九 四 二 一一 七 一四 三 十 六 一五 一三 八 一二 一
 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

 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 9 6 14 15 1 7 12 11 8 2 3 13
 16 5 10 3 2 13 11 8 7 12 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

1. w:hi:आदर्श जादुई वर्ग g
 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ७ १२ १ १४ २ १३ ८ ११ १६ ३ १० ५ ९ ६ १५ ४
 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 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
 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 7 12 1 14 2 13 8 11 16 3 10 5 9 6 15 4
भारतीय अंकों

का ट्रांस्क्रिप्शन

आदर्श जादुई वर्ग

Sriramachakra

 ९ १६ ५ ४ ७ २ ११ १४ १२ १३ ८ १ ६ ३ 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
add all relevant Unicode blocks for Arab, list of WMF subdomains using Arab, Farsi more ? #Aran Arabic (Nastaliq variant) #Xpeo Old Persian cuneiform

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
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

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

Not done investigate

Aran

#top template talk:4x4 type square#Aran
add all relevant Unicode blocks for Aran, list of WMF subdomains using Aran, Farsi more ?

Arabic (Nastaliq variant)

Xpeo

#top template talk:4x4 type square#Xpeo
add all relevant Unicode blocks for Xpeo, list of WMF subdomains using Xpeo, Farsi more ?

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.

'

'

see: #Syrc

see: #Syrc

see: #Syrc

Armn

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ৭ ১২ ১ ১৪ ২ ১৩ ৮ ১১ ১৬ ৩ ১০ ৫ ৯ ৬ ১৫ ৪
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho
1. Bengali-Assamese numerals

Grek

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ૭ ૧૨ ૧ ૧૪ ૨ ૧૩ ૮ ૧૧ ૧૬ ૩ ૧૦ ૫ ૯ ૬ ૧૫ ૪
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho

CJK · Hani · Hans · Hant · Jpan

[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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 七 十二 一 十四 二 十三 八 十一 十六 三 十 五 九 六 十五 四
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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ೭ ೧೨ ೧ ೧೪ ೨ ೧೩ ೮ ೧೧ ೧೬ ೩ ೧೦ ೫ ೯ ೬ ೧೫ ೪
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho

Kore

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 일곱 열둘 하나 열넷 둘 열셋 여덟 열하나 열여섯 셋 열 다섯 아홉 여섯 열다섯 넷
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho

Lepc

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.
 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 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

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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ൭ ൧൨ ൧ ൧൪ ൨ ൧൩ ൮ ൧൧ ൧൬ ൩ ൧൦ ൫ ൯ ൬ ൧൫ ൪
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho

Mymr

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ၇ ၁၂ ၁ ၁၄ ၂ ၁၃ ၈ ၁၁ ၁၆ ၃ ၁๐ ၅ ၉ ၆ ၁၅ ၄
 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

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ୭ ୧୨ ୧ ୧୪ ୨ ୧୩ ୮ ୧୧ ୧୬ ୩ ୧୦ ୫ ୯ ୬ ୧୫ ୪
 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

100%
 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 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

Taml

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ௭ ௧௨ ௧ ௧௪ ௨ ௧௩ ௮ ௧௧ ௧௬ ௩ ௧೦ ௫ ௯ ௬ ௧௫ ௪
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho

Telu

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ౭ ౧౨ ౧ ౧౪ ౨ ౧౩ ౮ ౧౧ ౧౬ ౩ ౧౦ ౫ ౯ ౬ ౧౫ ౪
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho

Tibt

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 ༧ ༡༢ ༡ ༡༤ ༢ ༡༣ ༨ ༡༡ ༡༦ ༣ ༡༠ ༥ ༩ ༦ ༡༥ ༤
transcription of
the indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho

Xsux

 ੭ ੧੨ ੧ ੧੪ ੨ ੧੩ ੮ ੧੧ ੧੬ ੩ ੧० ੫ ੯ ੬ ੧੫ ੪
 7 12 1 14 2 13 8 11 16 3 10 5 9 6 15 4 transcription ofthe indian numerals
most-perfect magic square from
the Parshvanath Jain temple in Khajuraho

to do

'update', expand / new / move done

new bugs / feature requests

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

Done

• 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

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

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

notes

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

find more descriptive references
• Kathleen Ollerenshaw, David S. Brée: Most-perfect Pandiagonal Magic Squares: Their Construction and Enumeration, Southend-on-Sea : Institute of Mathematics and its Applications, 1998, 186 pages, ISBN 0-905091-06-X
• T.V.Padmakumar, Number Theory and Magic Squares, Sura books, India, 2008, 128 pages, ISBN 978-81-8449-321-4

• {{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)

verify

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

Not done

collapsed paragraphs

collapsed stepwise improvements

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