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#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
·
·
:
Th
·
·
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
·
·
:
Th
·
·
email me
· 09:35, 9 August 2015 (UTC)
All most-perfect magic squares are 4n
pandiagonal magic squares
(diabolic squares).
feedback
#top
Please see
en:user talk:לערי ריינהארט#Text reading and translation request First responce
Thanks a lot
Mahitgar
· ·
לערי ריינהארט
·
·
:
Th
·
·
email me
· 15:17, 9 August 2015 (UTC)
Thanks
w:en:user:Cmglee
user:Cmglee
! · 11 August 2015 (UTC)
see
#Guru
chiffres Gurmukhi
plus proches de l'original + translittération + numération indienne
Thanks
fr:user:Anne Bauval
user:Anne Bauval
! · ·
לערי ריינהארט
·
·
:
Th
·
·
email me
· 14:47, 12 August 2015 (UTC)
theory and applications
rakonto 11
in
Esperanto
rakonto 12
in
Esperanto
rakonto 13
in
Esperanto
rakonto ydd
in
Esperanto
rakonto 01.png|binary square
rakonto ydd
in
Yiddish
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
tesseract
24-cell
Clarke's third law
Any sufficiently advanced technology is indistinguishable from magic.
24
384
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 square
special:Prefixindex/template:4x4 type square
different representations of the reference square
revID: -
diff
PAGEID:
82332
links
here
#focus
W3C CSS Validator
⧼code-rev-purge-link⧽ ↺
transition
T001
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values 1 to 16
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values 0 to 15
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values -15 to 15
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-7
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-3
-13
11
-1
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-5
-11
13
:|
15
-7
-9
-3
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complement of last
-1
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-7
-9
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11
-3
-13
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-1
-15
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-5
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-7
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|:
links
about
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WLH
384
patterns
examples
algebra
methods transitions morphisms
all
more
library
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2015
most-perfect magic square
see also
w:en:Sriramachakra
(also called Sri Rama Chakra, Ramachakra, Rama Chakra, or Ramar Chakra) is a mystic diagram or a yantra ...
en:Sriramachakra#Sri Rama Chakra as a strongly magic square
Strongly magic squares
w:en:pandiagonal magic square
pandiagonal magic square or panmagic square (also diabolic square, diabolical square or diabolical magic square)
w:en:broken diagonal
w:en:Frénicle standard form
→ "
generalising the concept of essentially different squares
Other names:
Nasik Square
Chautisa Yantra
, more ???,
strongly magic square
???
Should we reference to the square as "
Khajuraho square
" and / or "
Khajuraho magic square
"?
also reffered as: "
Sri Rama Chakra
note:
the refference url is used twice on this page
·
לערי ריינהארט
·
·
:
Th
·
·
email me
· 09:31, 16 August 2015 (UTC)
relevant talk pages at other WMF projects
#top
w:en:user talk:לערי ריינהארט#Text reading and translation request First responce
w:en:talk:Cyrillic script#encoding of numerals
w:en:Wikipedia:Reference desk/Language#multiscript collaboration
b:de:talk:SVG#Hilfe erbeten
m:template talk:Translatable template#BiDi issues
I noticed some BiDirectional issues related to the rendering of untranslated LTR type messages in RTL wikis: main example:
foo:bar:user:MediaWiki message delivery
. →→
additional comments
w:ar:نقاش_البوابة:رياضيات#multiscript collaboration
most-perfect magic square/invited#invitatiion text
m:project:Requests for deletion#multiscript collaboration
Global usage for "
File:2152085cab.png
[2]
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.
15
10
16
14
11
13
12
15
10
16
12
13
14
11
generic abstract pattern
1. SVG file
most-perfect
magic square
reversible variant
file:PanmagicSquare-Order4.png
first version
10
15
13
12
11
14
16
10
15
13
12
16
11
14
PNG file
2. SVG file
(draft)
most-perfect
magic square
reversible variant
14
11
12
15
13
10
14
11
12
13
10
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
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
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user:Alkanot4ran
freenode: fluktusduktus@irc.freenode.net
(your signature)
stepwise improvements
#collapsed paragraphs
→→
#collapsed stepwise improvements
SVG interactive animation
#collapsed paragraphs
→→
#collapsed SVG interactive animatio
BiDi issues
meta:BiDi workgroup
phabricator?
BiDi
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:
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BiDi
tk:
BiDi
ug:
ur:
, etc.
Aram:
arc:
Hebr:
he:
lad:
BiDi
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, etc.
added: 18:44, 15 August 2015 (UTC)
Latn
#top
template talk:4x4 type square#Latn
w:de:vollkommen perfektes magisches Quadrat
w:en:most-perfect magic square
w:fr:carré magique plus que parfait
search Unicode beside ASVII; add relevant data / links / images; add improved wikitable code
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
12
14
13
11
16
10
15
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.
...
numerals in daily life
add collection of "
Banknotes of foobar
" images
Western Arabic numerals
sans-serif
c:License plates
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.
is a homoglyph of Cyrl.
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
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
VII
XII
XIV
II
XIII
VIII
XI
XVI
III
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
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
to do:
Done
Jupiter versus Saturn
Done
Lo Shu
versus
Yang-Hui
Done
the original of
w:en:File:Magic square 4x4 Shams Al-maarif3 (Arabic magics).jpg
contains an error`: the value 4 is shown twice
Melancholie I
16
13
10
11
12
15
14
16
13
10
11
15
14
12
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
11
14
10
15
13
12
16
11
14
13
12
10
15
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
١٤
١٥
١٢
١١
١٠
١٦
١٣
14
15
12
11
10
16
13
14
15
12
16
13
11
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
11
14
10
15
13
12
14
15
12
11
10
16
13
16
13
10
11
12
15
14
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
w:hi:आदर्श जादुई वर्ग
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
१२
१४
१३
११
१६
१०
१५
12
14
13
11
16
10
15
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
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
12
14
13
11
16
10
15
भारतीय अंकों
का ट्रांस्क्रिप्शन
आदर्श जादुई वर्ग
Sriramachakra
१६
११
१४
१२
१३
१०
१५
16
11
14
12
13
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
·
·
:
Th
·
·
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
search Unicode; add relevant data / links / images; add improved wikitable code
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
ISO 15924:
Guru
global setting test
١٢
١٤
١٣
١١
١٦
١٠
١٥
ISO 15924: Arab
12
14
13
11
16
10
15
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
w:en:file:Magic square 4x4 Shams Al-maarif (Arabic magics).jpg
not
used
w:en:file:Magic square 4x4 Shams Al-maarif2 (Arabic magics).jpg
|thumb|widthpx|Original script from the
w:en:Shams al-Ma'arif
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 ?
search Unicode; add relevant data / links / images; add improved wikitable code
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 ?
search Unicode; add relevant data / links / images; add improved wikitable code
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.
search Unicode; add relevant data / links / images; add improved wikitable code
Phnx
#top
template talk:4x4 type square#Phnx
Phoenician
alphabet
Syrc
#top
template talk:4x4 type square#Syrc
Syriac
alphabet
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
search Unicode; add relevant data / links / images; add improved wikitable code
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
ԺԲ
ԺԴ
ԺԳ
ԺԱ
ԺԶ
ԺԵ
transcription
of
the
indian numerals
most-perfect magic square
from
the
Parshvanath
Jain
temple in
Khajuraho
Beng
#top
template talk:4x4 type square#Beng
add links to Bengali and Asameese;
search Unicode;
add relevant data / links / images; add improved wikitable code
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
Bengali-Assamese numerals
Cyrl
#top
template talk:4x4 type square#Cyrl
search Unicode; add relevant data / links / images; add improved wikitable code
Cyrs
#top
template talk:4x4 type square#Cyrs
search Unicode; add relevant data / links / images; add improved wikitable code
Grek
#top
template talk:4x4 type square#Grek
search Unicode; add relevant data / links / images; add improved wikitable code
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
search Unicode; add relevant data / links / images; add improved wikitable code
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
search Unicode; add relevant data / links / images; add improved wikitable code
CJKV ideograph
in
traditional
and
simplified Chinese character|simplified
Chinese
Korean
Vietnamese
and
Japanese
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.
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 "CJK
#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
hreflang
hreflang
HTML attribute
ja, jpn · see:
CJK
Kanji
add more details
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
·
·
:
Th
·
·
email me
· 06:23, 17 August 2015 (UTC)
Hebr
#top
template talk:4x4 type square#Hebr
search Unicode; add relevant data / links / images; add improved wikitable code
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
search Unicode; add relevant data / links / images; add improved wikitable code
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
search Unicode; add relevant data / links / images; add improved wikitable code
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
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
search Unicode; add relevant data / links / images; add improved wikitable code
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
12
14
13
11
16
10
15
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
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
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
12
14
13
11
16
10
15
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
search Unicode; add relevant data / links / images; add improved wikitable code
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
search Unicode; add relevant data / links / images; add improved wikitable code
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
၁၂
၁၄
၁၃
၁၁
၁၆
၁๐
၁၅
12
14
13
11
16
10
15
transcription
of
the
indian numerals
most-perfect magic square
from
the
Parshvanath
Jain
temple in
Khajuraho
w:en:Burmese numerals
Orya
#top
template talk:4x4 type square#Orya
search Unicode; add relevant data / links / images; add improved wikitable code
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
୧୨
୧୪
୧୩
୧୧
୧୬
୧୦
୧୫
12
14
13
11
16
10
15
transcription
of
the
indian numerals
most-perfect magic square
from
the
Parshvanath
Jain
temple in
Khajuraho
Odia language
Runr
#top
template talk:4x4 type square#Runr
search Unicode; add relevant data / links / images; add improved wikitable code; search fonts
100%
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
12
14
13
11
16
10
15
transcription
of
the
indian numerals
most-perfect magic square
from
the
Parshvanath
Jain
temple in
Khajuraho
Sinh
#top
template talk:4x4 type square#Sinh
search Unicode; add relevant data / links / images; add improved wikitable code
Sinhala numerals
Sinhala alphabet
Taml
#top
template talk:4x4 type square#Taml
search Unicode; add relevant data / links / images; add improved wikitable code
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
search Unicode; add relevant data / links / images; add improved wikitable code
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
search Unicode; add relevant data / links / images; add improved wikitable code
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
search Unicode; add relevant data / links / images; add improved wikitable code; search fonts
Cuneiform, Sumero-Akkadian
Babylonian numerals
੧੨
੧੪
੧੩
੧੧
੧੬
੧०
੧੫
12
14
13
11
16
10
15
transcription
of
the
indian numerals
Babylonian numerals
most-perfect magic square
from
the
Parshvanath
Jain
temple in
Khajuraho
to do
#top
update'
expand
new
/ move
done
search Unicode; add relevant data / links / images; add improved wikitable code
add google link to
"foobar"
as:
foobar="foo" [[google:{{URLENCODE:foobar|PATH}}|g]]
use google compatible link format; else add template with param
supersymmetry
(in algebra and geometry)
BiDi tests
Runr
and other scripts
Nepali is using Deva
appropriate font-size as font-size:150%, fonts, font family etc.
identification and correction of potential
homoglyphs
using different Unicode encoding
verify Hans · Hant · Jpan etc. scripts
add
file:Khajuraho Parshvanath temple 2010.jpg
, and related links (theory as text; youtube)
add
w:en:WP:GEO
d:Q10948883
Q10948883
to
w:en:Khajuraho Group of Monuments#Chronology
add
#top
to first level paragraphs only
add information from
w:en:Numerals in Unicode
new bugs / feature requests
#top
→→
new bugs / feature requests at
additional comments
bug:
does not work in thumbs in
[[file:foo.bar|thumb|right|200px|foo
bar
foobar]]
bug:
is rendered inside
...
...
feature request:
edits on
special:MyPage
should generate notifications same as already done on
special:MyTalk
Done
#top
added
class="nowrap"
nowrap
added
"LANG"
LANG
="foo"
added
"xml:lang"
xml:lang
="foo"
added
"hreflang"
hreflang
="foo"
added
"align-right"
align-right
new SVG animations
#top
about properties
about generation
about transformation
about relation to Melencolia type
d:Q1362177
(symmetrical/reversible) magical squares
2015.08.04: Looking at
c:file:Albrecht Dürer - Melencolia I (detail).jpg
and reminding the work of
Amit6
at
c:file:Abstrakt.svg
it was possible to create
file:Albrecht Dürer - Melencolia I (abstrakt detail).svg
making the following changes to the 4x4 square
c:file:Abstrakt.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
·
·
:
Th
·
·
email me
· 18:08, 8 August 2015 (UTC)
Can fonts be provided somehow in an SVG file? ·
לערי ריינהארט
·
·
:
Th
·
·
email me
· 21:37, 8 August 2015 (UTC)
mathematics of the most-perfect magic square
#top
w:en:mathematics
w:en:Portal:Cryptography
Q10857776
w:en:Wikipedia:WikiProject Mathematics
to be added soon ·
לערי ריינהארט
·
·
:
Th
·
·
email me
· 07:24, 17 August 2015 (UTC)
notes
#top
use references with foobar
T V Padmakumar (August 1997).
"Strongly magic squares"
(PDF)
The
Fibonacci Quarterly
35
(3):
198–
205
. Retrieved
24 May
2013
"Self-taught mathematician unravels the mysteries of magic squares"
. Retrieved
24 May
2013
Stephan Berendonk, Providing the loneliness of the Khajuraho square, The Mathematical Gazette
Inder Jeet Taneja, xxx, Equivalent Versions of "Khajuraho" and "Lo-Shu" Magic Squares and the day 1st October 2010 (01.10.2010)
T.V.Padmakumar: Arbeit über Quadrate des Typs „Sri Rama Chakra“
"Manuel Moschopoulos – Mathematics and the Liberal Arts"
. Archived from
the original
on 2012-04-25
. Retrieved
2015-08-10
Murray Bourne: Unicode characters for Chinese and Japanese numbers, 29 Nov 2008
Unicode Character Database PropList.txt
references
#top
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
Preface (Excerpts by Kathleen Ollerenshaw)
book review
Not done
T.V.Padmakumar,
Number Theory and Magic Squares
Sura books
Archived
2010-02-25 at the
Wayback Machine
, 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
}}
Harvey Heinz:
Most-perfect Magic Squares
Archived
2014-11-24 at the
Wayback Machine
T.V.Padmakumar:
Strongly Magic Squares
(PDF; 1,9 MB)
The 4×4 Pan-Magic Squares
Michael Dörmann:
A perfect magic square
(Online Generator - Magisches Quadrat 4×4 mit Javascript)
Inder Jeet Taneja:
Equivalent Versions of "Khajuraho" and "Lo-Shu" Magic Squares and the day 1st October 2010 (01.10.2010)
George P. H. Styan:
Some comments on old magic squares illustrated with postage stamps
, October 27, 2010
Ashish Jain:
Khajuraho Jain Temples Jain Square
, 2011
Amir Aczel:
Sex, Math, and Magic (PHOTOS)
PuzzleSolver
": [
Magic Square Puzzle}
c:project:Story (game) - multilingual interdisciplinary collaborative work#Historical_issues
Not done
Archived
2015-02-02 at the
Wayback Machine
Not done
Not done
other languages linked to most-perfect magic square (
d:Q450098
#top
verify
... your work ...
Thanks for any help! ·
לערי ריינהארט
·
·
:
Th
·
·
email me
· 19:32, 8 August 2015 (UTC)
comments
#top
Not done
... your comments ...
collapsed paragraphs
#top
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
SVG file source code 01
c:file:DiabolicSquare-Order4.svg
created by
Poccil
and last modified by
AnonMoos
"http://purl.org/dc/elements/1.1/"
xmlns:cc=
"http://web.resource.org/cc/"
xmlns:rdf=
"http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg=
"http://www.w3.org/2000/svg"
xmlns=
"http://www.w3.org/2000/svg"
version=
"1.0"
width=
"488.17239"
height=
"488.17239"
"metadata29"
""
image/svg+xml
"http://purl.org/dc/dcmitype/StillImage"
/>
"fill:none;fill-opacity:1;stroke:black;stroke-width:7.66391373;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
width=
"460"
height=
"460"
x=
"20"
y=
"20"
transform=
"matrix(1.043853,0,0,1.043853,-16.87706,-16.87706)"
/>
"fill:white;fill-opacity:1;stroke:black;stroke-width:4.5;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d=
"M 120,8.1723938 L 120,488.17239 M 240,8.1723938 L 240,488.17239 M 360,8.1723938 L 360,488.17239 M 0,128.17239 L 480,128.17239 M 0,248.17239 L 480,248.17239 M 0,368.17239 L 480,368.17239"
/>
"font-size:64px;font-style:normal;font-weight:bold;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Arial"
"24.9375"
y=
"88.1724"
15
"144.938"
y=
"87.3911"
10
"280"
y=
"88.1724"
"400"
y=
"88.1724"
"40"
y=
"438.172"
"280"
y=
"328.172"
"40"
y=
"208.172"
"167.156"
y=
"207.391"
"400"
y=
"328.172"
"160"
y=
"438.172"
"400"
y=
"208.172"
"150"
y=
"328.172"
11
"380"
y=
"438.172"
12
"264.938"
y=
"437.391"
13
"24.9375"
y=
"328.172"
14
"264.938"
y=
"207.391"
16
collapsed modified SVG code
#top
#WMF resources
#end of page
modified SVG code
...
"24.9375"
y=
"88.1724"
15
"144.938"
y=
"87.3911"
10
"280"
y=
"88.1724"
"400"
y=
"88.1724"
"40"
y=
"438.172"
"280"
y=
"328.172"
"40"
y=
"208.172"
"167.156"
y=
"207.391"
"400"
y=
"328.172"
"160"
y=
"438.172"
"400"
y=
"208.172"
"150"
y=
"328.172"
11
"380"
y=
"438.172"
12
"264.938"
y=
"437.391"
13
"24.9375"
y=
"328.172"
14
"264.938"
y=
"207.391"
16
...
As a simple "
hack
" only the cell contents / values have been changed. The positioning is odd because the numbers are not centered. 19:29, 10 August 2015 (UTC)
collapsed first step
#top
#WMF resources
#end of page
first step
text-anchor
url
of the latest variant at commons:
the values are reordered according to cell values a
1,1
, a
1,2
, a
1,3
, a
1,4
to cell values a
4,1
, a
4,2
, a
4,3
, a
4,4
alignment is achieved via:
"middle"
x=
"foo"
y=
"bar"
foobar
coordinates have been modified by guessing
...
"font-size:64px;font-style:normal;font-weight:bold;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Arial"
"middle"
x=
"71"
y=
"89"
"middle"
x=
"189"
y=
"89"
10
"middle"
x=
"309"
y=
"89"
15
"middle"
x=
"430"
y=
"89"
"middle"
x=
"71"
y=
"210"
13
"middle"
x=
"189"
y=
"210"
"middle"
x=
"309"
y=
"210"
"middle"
x=
"430"
y=
"210"
12
"middle"
x=
"71"
y=
"331"
"middle"
x=
"189"
y=
"331"
11
"middle"
x=
"309"
y=
"331"
14
"middle"
x=
"430"
y=
"331"
"middle"
x=
"71"
y=
"451"
16
"middle"
x=
"189"
y=
"451"
"middle"
x=
"309"
y=
"451"
"middle"
x=
"430"
y=
"451"
...
·
לערי ריינהארט
·
·
:
Th
·
·
email me
· 19:57, 12 August 2015 (UTC)
collapsed stepwise improvements
#top
#WMF resources
#end of page
c:project:Help desk#today this is a draft · how to improve the SVG file
stepwise improvements
the values of the square cells should be moved to a definition part of the source code
the values from 0 to 16 should be defined in an arrow indexed as number[0] to number [16] or whatever indexing makes sense
various UTF-8 values (single characters or multiple characters used also for binary encoding samples) should be defined in a source code block one for each supported script
blocks for unused scripts should be commented and deactivated using <-- and -->
for the position where the original numbers from 1 to 16 are placed one should use matrix cells as a[1,1] to a[1..4] for the first line up to a[4,1] to a[4,4] for the forth line
as a future request transformations should be supported; these are codings for matrix transformations cells as:
a[1,1] is relocated at cell a[4,2] etc. using a block of 16 lines
in the definition part it should be possible to define font families, fonts, font size and other parameter as praxis will show
multiple characters used also for binary encoding samples should support leading zeros
I suggest to use a fixed design should for
LTR only
. In order to avoid wrapping some sort of "nowrap" should be used.
Centering the different number strings might be different and
difficult
for all the mentioned scripts on this page.
background and font colors should be used as additional arrays; bold (yes|no} for each cell might be useful too
new:
coordinates should be specified in pixels (not in fractional numbers used for inches)
U12038 or Babylonian001
U1230B or Babylonian010
future thoughts:
usage of
symbol
for scripts as Maya, Xsux (cuneiform numerals), and others; see
#Xsux
where PNG files are used; one can imagine both the referencing of the files as
[3]
or the redefinition of the corresponding symbols (named Uabcd, the hexadecimal Unicode values or
Babylonian001
Babylonian010
) and referencing to it (via nested transformations)
encoding via additional arrays for "number - 1", "number div 8", "(number mod 8) div 4", "(number mod 4) div 2", "number mod 2"
missing language functionality operations will be implemented via inherent encoding
testing
and validation:
I am using Windows 10 And Mozilla Nightly with user agent Mozilla/5.0 (Windows NT 10.0; WOW64; rv:42.0) Gecko/20100101 Firefox/42.0. I noticed that Windows 10 supports many cuneiform characters and Tibetan script (Tibt) but my Samsung 3 does not rendewr these characters.
lists the square
1 8 11 14
12 13 2 7
6 3 16 9
15 10 5 4
These values can be used for another test. Another square from
Archived
2015-02-02 at the
Wayback Machine
can be used for transformation tests
1 8 10 15
12 13 3 6
7 2 16 9
14 11 5 4
Eight values preserve their position and the remaining values will be relocated at the symmetrical position relative of the center of the square.
lists the square
14 1 12 7
11 8 13 2
5 10 3 16
4 15 6 9
Please do not hesitate to provide feedback!
collapsed SVG interactive animation
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#WMF resources
#end of page
SVG interactive animation
The chessboard animation exchanges the position of the kings and the rooks (casteling).
please click
on the
upload directory link
of the image in order to see the animation
Valid for all most-perfect magic square (having all orders of 4n):
one can exchange two arbitrary columns having a distance of
2n
one can exchange two arbitrary rows having a distance of
2n
the two sample squares preserve the positions of the values 10, 6, 11 and 7
the values 4, 13, 16 and 1 are "
mirrored
" at the center of the value 11
the values 15 and 3 are changing places
the values 9 and 12 are changing places
This is an arbitrary verbose description.
Instead of
the values 4, 13, 16 and 1 are "
mirrored
" at the center of the value 11
one could write also:
the values 4 and 13 are changing places
the values 16 and 1 are changing places
·
לערי ריינהארט
·
·
:
Th
·
·
email me
· 19:29, 10 August 2015 (UTC)
sample gif animation
Once knowing techniques to animate transformations one could optimize GIF files.
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