Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Geometric magic square

A geometric magic square, often abbreviated to geomagic square, is a generalization of magic squares invented by Lee Sallows in 2001. A traditional magic square is a square array of numbers (almost always positive integers) whose sum taken in any row, any column, or in either diagonal is the same target number. A geomagic square, on the other hand, is a…

History, Culture & Measurement

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Geometric magic square. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

History

Édouard LucasParallelogramCharles AshbacherJournal of Recreational MathematicsPeter Cameron
8 related topics

Geomagic squares in popular culture

Macau
1 related topics

Relation to traditional magic squares

Jean-Paul DelahayePour la ScienceScientific American
3 related topics

Special types

Panmagic squareBroken diagonalsSelf-tiling tile set
3 related topics

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Examples

History

Methods of construction

Relation to traditional magic squares

Special types

Geomagic squares in popular culture

Sources

  • ISBN ISBN (identifier)

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.

Map overview Semantic statistics

Geometric magic square

Nodes31
Edges30
Triples20
Avg. degree1.94
Density0.064516
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Geometric magic square

Top relations

related to Sources · 13
Geometric magic square → April, Challenging New Twist Using, Colored Shapes Instead, Dover Publications, Geometric Magic Squares, ISBN, Lee, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Numbers, Sallows, Wikisource-logo

Important terminology Word statistics

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

Important terminology

square geomagic squares magic pieces target figure shapes using distinct example every numbers shape numerical traditional one sallows row diagonal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
seen belowinstance ofThis is achieved by means of an algebraic template0.80text
the distinct variables in which are then interpreted as different shapes to be either appended to or excised from the initial piecesinstance ofThis is achieved by means of an algebraic template0.80text
depending on their sign.Figure 4 illustrates such a geometrical interpretation of the template in which k is interpreted as a small square shapeinstance ofThis is achieved by means of an algebraic template0.80text
while ainstance ofThis is achieved by means of an algebraic template0.80text
binstance ofThis is achieved by means of an algebraic template0.80text
cinstance ofThis is achieved by means of an algebraic template0.80text
d represent the protrusionsinstance ofThis is achieved by means of an algebraic template0.80text
Geometric magic squarerelated to SourcesSallows0.60section
Geometric magic squarerelated to SourcesLee0.60section
Geometric magic squarerelated to SourcesGeometric Magic Squares0.60section
Geometric magic squarerelated to SourcesChallenging New Twist Using0.60section
Geometric magic squarerelated to SourcesColored Shapes Instead0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.