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Magic square: History, Variations of the magic square & Magic squares in occultism

In mathematics, especially historical and recreational mathematics, a magic square is a square array of numbers, usually positive integers, where the sums of the numbers in each row, each column, and both main diagonals are the same. The order of a magic square is the number of integers along one side (n), and the constant sum is called the magic…

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Magic square topic overview

The analysis highlights History, Variations of the magic square and Magic squares in occultism as prominent areas in the source structure around Magic square.

Related topics
134
Source areas
11
Connected nodes
145
Extracted relationships
482
Concept neighborhoods
40
Bridge connections
145

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

History · 57 topics
Variations of the magic square · 21 topics
Magic squares in occultism · 15 topics
Some famous magic squares · 13 topics
Overview · 9 topics
Properties of magic squares · 5 topics
Solving partially completed magic squares · 4 topics
Special methods of construction · 4 topics
Transformations that preserve the magic property · 3 topics
Enumeration of magic squares · 2 topics
Classification of magic squares · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

History

Some famous magic squares

Properties of magic squares

Classification of magic squares

Enumeration of magic squares

Transformations that preserve the magic property

Special methods of construction

Solving partially completed magic squares

Variations of the magic square

Magic squares in occultism

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Magic square connects Entity context

The extracted context around Magic square shows recurring relationship patterns in the source. For example, Magic square → Abbe Poignard, Académie, Adam Riese, Agrippa, Agrippa's, Albrecht Dürer, An, Antoine Arnauld, Archidoxa Magica, Arithmetica Integra, Athanasius Kircher, Bachet, Bachet's, Benjamin Franklin, Bernard Frenicle, Bessy, Book II, By, Chapter, Claude Gaspard Bachet Another extracted example is Magic square → After Yang Hui, Ancient Mathematical Methods, Bao Qishou's Binaishanfang, BCE, Bright Hall, Byzantine, Cheng Dawei's Suanfa, China's, Chinese, Ching, Continuation, Da Dai Liji, Ding Yidong's Dayan, Elder Dai, Elucidating, European, Fang Zhongtong's Shuduyan, He, However, Indian. Use these groups to spot repeated connection types before inspecting the individual relationships.

Magic square

Top relations

related to Europe after 15th century · 69
Magic square → Abbe Poignard, Académie, Adam Riese, Agrippa, Agrippa's, Albrecht Dürer, An, Antoine Arnauld, Archidoxa Magica, Arithmetica Integra, Athanasius Kircher, Bachet, Bachet's, Benjamin Franklin, Bernard Frenicle, Bessy, Book II, By, Chapter, Claude Gaspard Bachet
related to China · 44
Magic square → After Yang Hui, Ancient Mathematical Methods, Bao Qishou's Binaishanfang, BCE, Bright Hall, Byzantine, Cheng Dawei's Suanfa, China's, Chinese, Ching, Continuation, Da Dai Liji, Ding Yidong's Dayan, Elder Dai, Elucidating, European, Fang Zhongtong's Shuduyan, He, However, Indian
related to Latin Europe · 42
Magic square → Abraham, Al-Andalus, Alfonsine, Alfonso, Arab, Arabia, Around, Astromagia, Book, Castille, Europe, European, Ezra, Greek Byzantine, Hire, However, Ibn Zarkali, Ibn Zarkali's, In, Influences
related to Middle East, North Africa, Muslim Iberia · 42
Magic square → Abu'l-Wafa, Ahmad, Algerian Ahmad, Ali, Although, Antaki, Arabia, Arabic, Around, Baghdad, Balances, Brethren, Buni, Buzjani, By, Egyptian Shabramallisi, Encyclopedia, From, Haytham, Hayyān's
related to Japan · 41
Magic square → After, Agrippa, Cheng Dawei's Suanfa, China, Chinese, Dokai-sho, Hojin Yensan, Hojin-Shin-jutsu, Hosino Sanenobu, Ichigen Kappo, In, In Jinko-ki, Isomura Kittoku, Japan, Japanese, Katahiro Takebe, Ketsugi-sho, Ko-ko-gen Sho, Kongenki, Kyushi Iko
related to history · 34
Magic square → Albrecht Dürer's Melencolia, Also, Another, Arabic, Around, Babylonians, Baghdad, BCE, Brethren, By, CE, China, Chinese, Egyptians, Emperor, Encyclopedia, Europe, Flies, For, Greeks
related to Magic squares in occultism · 26
Magic square → Agrippa's, Among, Angelis, Biblioteka Jagiellońska, Cambridge Univ, Codex, Counter-Reformation, De, De Occulta Philosophia, Europe, For, Heinrich Cornelius Agrippa, Hermetic, In, It, Lib, Liber, Magic, Marsilio Ficino, Mirandola
related to Classification of magic squares · 23
Magic square → All, An, Associative, Bordered, Composite, Franklin, However, Inlaid, Jain, Most-perfect, Multimagic, Nasik, P-multimagic, Pandiagonal, Panmagic, Self-complementary, Semi-magic, Simple, Such, The
related to Magic square in Parshavnath temple · 15
Magic square → Chautisa, Chautisa Yantra, English, European, India, It, Jain, Khajuraho, Nasik, Pandiagonal, Parshvanath, The, There, This, Yantra
related to Albrecht Dürer's magic square · 13
Magic square → Albrecht Dürer, As, But, China, Durer, Dürer's, European, It, Jupiter, Melencolia, The, This, Yang Hui's

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

magic squares square order also numbers rows columns even one century odd method two sum number given constant methods first

Magic square relationships Subject–Predicate–Object triples

TTTA extracted 482 structured relationships around Magic square. Examples in this analysis include Magic square → is a → square array of numbers and Magic square → is a → number of integers along one side. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Magic squareis asquare array of numbers0.90text
Magic squareis anumber of integers along one side0.90text
Magic squareis amultiple of the order of the smaller squares0.90text
in Ding Yidong's Dayan suoyininstance ofmagic squares frequently occur in Chinese mathematics0.80text
this one are not generally mathematically interestinginstance ofbut it has had the numbers in four of the cells reduced by 1.Trivial squares0.80text
only have historical significanceinstance ofbut it has had the numbers in four of the cells reduced by 1.Trivial squares0.80text
Magic squarehas methodOver0.60section
Magic squarehas methodThese0.60section
Magic squarehas methodSpecial0.60section
Magic squarehas methodThey0.60section
Magic squarehas methodThe0.60section
Magic squarehas methodAfter0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Magic square bring nearby vocabulary together. In this analysis, examples include Squares, Square and Order. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Magic square
    • Squares
    • Square
    • Order
    • Also
    • Interchanged
    • Constant
    • Numbers
    • One
    • Century
    • Even
    • Interchanging
    • Example
  • magic square
    • Squares
    • Square
    • Order
    • Columns
    • Rows
    • Also
    • Interchanged
    • Given
    • Constant
    • Numbers
    • One
    • Even
  • magic constant
    • Squares
    • Square
    • Sum
    • Order
    • Called
    • Row
    • Numbers
    • Also
    • Displaystyle
    • Constant
    • Magic
    • One
  • sagrada família magic square
    • Squares
    • Square
    • Order
    • Columns
    • Rows
    • Also
    • Interchanged
    • Given
    • Constant
    • Numbers
    • One
    • Even
  • associative magic squares
    • Squares
    • Square
    • Order
    • Also
    • Even
    • Century
    • Odd
    • Equivalent
    • Method
    • Constant
    • Numbers
    • One
  • pandiagonal magic squares
    • Squares
    • Square
    • Order
    • Also
    • Even
    • Century
    • Odd
    • Equivalent
    • Method
    • Constant
    • Numbers
    • One
  • most-perfect magic squares
    • Squares
    • Square
    • Order
    • Also
    • Even
    • Century
    • Odd
    • Equivalent
    • Method
    • Constant
    • Numbers
    • One
  • lo shu square
    • Columns
    • Rows
    • Squares
    • Interchanged
    • Given
    • Even
    • Sum
    • Interchanging
    • Example
    • Normal
    • Also
    • First

Connections between topic areas Semantic bridges

For Magic square, one of the stronger structural bridges in this analysis connects Magic square with History. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Magic square — History · splits 88 ⟂ 58
Magic square — Variations of the magic square · splits 124 ⟂ 22
Magic square — Magic squares in occultism · splits 130 ⟂ 16
Magic square — Some famous magic squares · splits 132 ⟂ 14
Magic square — Overview · splits 136 ⟂ 10
Magic square — Properties of magic squares · splits 140 ⟂ 6
Magic square — Special methods of construction · splits 141 ⟂ 5
Magic square — Solving partially completed magic squares · splits 141 ⟂ 5
Magic square — Transformations that preserve the magic property · splits 142 ⟂ 4
Magic square — Enumeration of magic squares · splits 143 ⟂ 3

Map overview Semantic statistics

Magic square

Nodes146
Edges145
Triples482
Avg. degree1.99
Density0.013699
Components1

Source & methodology

TTTA analyzes the structure around Magic square to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History, Variations of the magic square & Magic squares in occultism, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Magic square · EN edition · Analysis: TopicsToTalkAbout

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