Magic square

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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: 131
Source areas: 11
Connected nodes: 142
Extracted relationships: 377
Related term clusters: 40
Bridge connections: 142

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 · 18 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.

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Magic square

5Mathematics · History of mathematics · Recreational mathematics

30Magic square · Associative magic square · Pandiagonal magic square

9Picatrix · Paracelsus · Albrecht Dürer

9Claude Gaspard Bachet de Méziriac · Bernard Frenicle de Bessy · Pierre Fermat

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

Multimagic square

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

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

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, Antoine Arnauld, Archidoxa Magica, Arithmetica Integra, Athanasius Kircher, Bachet, Bachet's, Benjamin Franklin, Bernard Frenicle, Bessy, Book II, Chapter, Claude Gaspard Bachet, Concentric, Construction Another extracted example is Magic square → Abraham, Al-Andalus, Alfonsine, Alfonso, Arab, Arabia, Around, Astromagia, Book, Castille, Europe, European, Ezra, Greek Byzantine, Hire, Ibn Zarkali, Ibn Zarkali's, Influences, Islamic, Italy. Use these groups to spot repeated connection types before inspecting the individual relationships.

Top relations

related to Europe after 15th century · 60

Magic square → Abbe Poignard, Académie, Adam Riese, Agrippa, Agrippa's, Albrecht Dürer, Antoine Arnauld, Archidoxa Magica, Arithmetica Integra, Athanasius Kircher, Bachet, Bachet's, Benjamin Franklin, Bernard Frenicle, Bessy, Book II, Chapter, Claude Gaspard Bachet, Concentric, Construction

related to Latin Europe · 39

Magic square → Abraham, Al-Andalus, Alfonsine, Alfonso, Arab, Arabia, Around, Astromagia, Book, Castille, Europe, European, Ezra, Greek Byzantine, Hire, Ibn Zarkali, Ibn Zarkali's, Influences, Islamic, Italy

related to China · 38

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, Indian, Lo Shu, Luo Shu

related to Japan · 37

Magic square → Agrippa, Cheng Dawei's Suanfa, China, Chinese, Dokai-sho, Hojin Yensan, Hojin-Shin-jutsu, Hosino Sanenobu, Ichigen Kappo, In Jinko-ki, Isomura Kittoku, Japan, Japanese, Katahiro Takebe, Ketsugi-sho, Ko-ko-gen Sho, Kongenki, Kyushi Iko, Mosei, Muramatsu Kudayu Mosei

related to Middle East, North Africa, Muslim Iberia · 35

Magic square → Abu'l-Wafa, Ahmad, Algerian Ahmad, Ali, Although, Antaki, Arabia, Arabic, Around, Baghdad, Balances, Brethren, Buni, Buzjani, Egyptian Shabramallisi, Encyclopedia, Haytham, Hayyān's, Ibn, Islam

related to history · 31

Magic square → Albrecht Dürer's Melencolia, Also, Another, Arabic, Around, Babylonians, Baghdad, BCE, Brethren, CE, China, Chinese, Egyptians, Emperor, Encyclopedia, Europe, Flies, Greeks, In India, India

related to Magic squares in occultism · 21

Magic square → Agrippa's, Among, Angelis, Biblioteka Jagiellońska, Cambridge Univ, Codex, Counter-Reformation, De, De Occulta Philosophia, Europe, Heinrich Cornelius Agrippa, Hermetic, Lib, Liber, Magic, Marsilio Ficino, Mirandola, Ms BJ, MS Dd, Pico

related to Classification of magic squares · 16

Magic square → Associative, Bordered, Composite, Franklin, Inlaid, Jain, Most-perfect, Multimagic, Nasik, P-multimagic, Pandiagonal, Panmagic, Self-complementary, Semi-magic, Simple, Ultra

related to Sagrada Família magic square · 12

Magic square → Antoni Gaudí, Barcelona, Jesus, Josep Subirachs, Lee Sallows, Melancholia, Passion, Sagrada Família, Structurally, Subirachs's, The Passion, Trivial

related to Magic square in Parshavnath temple · 11

Magic square → Chautisa, Chautisa Yantra, English, European, India, Jain, Khajuraho, Nasik, Pandiagonal, Parshvanath, Yantra

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 using

Magic square relationships Subject–Predicate–Object triples

TTTA extracted 377 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.

Subject	Predicate	Object	Confidence	Src
Magic square	is a	square array of numbers	0.90	text
Magic square	is a	number of integers along one side	0.90	text
Magic square	is a	multiple of the order of the smaller squares	0.90	text
in Ding Yidong's Dayan suoyin	instance of	magic squares frequently occur in Chinese mathematics	0.80	text
this one are not generally mathematically interesting	instance of	but it has had the numbers in four of the cells reduced by 1.Trivial squares	0.80	text
only have historical significance	instance of	but it has had the numbers in four of the cells reduced by 1.Trivial squares	0.80	text
Magic square	has method	Special	0.60	section
Magic square	has method	De	0.60	section
Magic square	has method	Loubere's	0.60	section
Magic square	has method	Starchey's	0.60	section
Magic square	has method	Bachet's	0.60	section
Magic square	related to Additive-multiplicative magic and semimagic squares	Additive-multiplicative	0.60	section

Related concept clusters Related term clusters

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
magic squares
- Squares
- Square
- Order
- Also
- Even
- Century
- Odd
- Equivalent
- Method
- Constant
- Numbers
- One

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 85 ⟂ 58

Magic square — Variations of the magic square · splits 124 ⟂ 19

Magic square — Magic squares in occultism · splits 127 ⟂ 16

Magic square — Some famous magic squares · splits 129 ⟂ 14

Magic square — Overview · splits 133 ⟂ 10

Magic square — Properties of magic squares · splits 137 ⟂ 6

Magic square — Special methods of construction · splits 138 ⟂ 5

Magic square — Solving partially completed magic squares · splits 138 ⟂ 5

Magic square — Transformations that preserve the magic property · splits 139 ⟂ 4

Magic square — Enumeration of magic squares · splits 140 ⟂ 3

Map overview Semantic statistics

Magic square

Nodes143

Edges142

Triples377

Avg. degree1.99

Density0.013986

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

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

Magic square topic overview

What this topic covers Research coverage

Key facts & relationships

Start with your topic. Discover where to go next.

Questions to explore

Explore all related topics Closing gaps

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

For the semantics nerds

Advanced semantic analysis

How Magic square connects Entity context

Magic square

Top relations

Important terminology

Important terminology

Magic square relationships Subject–Predicate–Object triples

Related concept clusters Related term clusters

Connections between topic areas Semantic bridges

Map overview Semantic statistics

Magic square

Source & methodology