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Square

In geometry, a square is a regular quadrilateral. It has four straight sides of equal length and four equal angles. Squares are special cases of rectangles, which have four equal angles, and of rhombuses, which have four equal sides. As with all rectangles, a square's angles are right angles (90 degrees, or π/2 radians), making adjacent sides…

Characters & Applications

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

Explore this topic

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Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Area
side2
Edges and vertices
4
Internal angle (degrees)
π/2 (90°)
Perimeter
4 · side
Symmetry group
order-8 dihedral
Type
quadrilateral · regular polygon · hypercube · cross-polytope

Topics to explore

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Overview

Definitions and characterizations

Properties

Applications

Constructions

Related topics

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

Square

Nodes308
Edges307
Triples153
Avg. degree1.99
Density0.006494
Components1

How this topic connects Entity context

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Square

Top relations

has application · 25
Square → Ancient, Architectural, Buddhist, Cartesian, Chogha Zanbil, East Asian, Egyptian, Graph, Greek, In, India, Iran, JPEG, Latin, London, Mesoamerican, Norman, Paradise, Persian, Squares
is a · 13
Square → largest circle that can fit inside that square, most symmetrical of the quadrilaterals, octagon, polygon with four equal sides and four right angles, quadrilateral containing the largest area within a given perimeter, quadrilateral of least perimeter enclosing a given area, quadrilateral with successive sides a, regular quadrilateral, side length multiplied by itself, special case of a rhombus, square array of numbers, square of side length one, tangential quadrilateral
related to Inscribed and circumscribed circles · 13
Square → AB, ABCD, BC, Because, CD, DA, If, Its, PB, PD, PE, PH, The
related to Related topics · 11
Square → Arnold's, As, Hilbert, Other, Peano, Sierpiński, Space-filling, The, The Schläfli, The Sierpiński, The Z-order
related to Other geometries · 10
Square → An, Another, Both, By, Euclidean, In, One, Peirce, Small, These
see also · 9
Square → Black Square, Kazimir MalevichCovering, Lucas, Mathematics, Rado, Reuleaux, Russian, Shapes, Unicode
measured by · 8
Square → Babylonian, It, Reversing, Since, Squaring, That, The, This
related to Area and quadrature · 6
Square → Euclid's Elements, Greek, Hippocrates, In, Since, Some
related to Symmetry · 6
Square → All, Cartesian, Each, Eight, For, The
related to Inscribed squares · 5
Square → An, Every, For, It, The

Important terminology Word statistics

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Important terminology

squares displaystyle four sides area quadrilateral angles equal one length regular number right two plane side inscribed points vertices circle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
SquareAreaside21.00infobox
SquareEdges and vertices41.00infobox
SquareInternal angle (degrees)π/2 (90°)1.00infobox
SquarePerimeter4 · side1.00infobox
SquareSymmetry grouporder-8 dihedral1.00infobox
SquareTypequadrilateral1.00infobox
SquareTyperegular polygon1.00infobox
SquareTypehypercube1.00infobox
SquareTypecross-polytope1.00infobox
Squareis aregular quadrilateral0.90text
Squareis aside length multiplied by itself0.90text
Squareis apolygon with four equal sides and four right angles0.90text
Squareis aquadrilateral with successive sides a0.90text
Squareis aspecial case of a rhombus0.90text
Squareis aquadrilateral of least perimeter enclosing a given area0.90text
Squareis aquadrilateral containing the largest area within a given perimeter0.90text
Squareis amost symmetrical of the quadrilaterals0.90text
Squareis alargest circle that can fit inside that square0.90text
Squareis atangential quadrilateral0.90text
Squareis asquare of side length one0.90text
Squareis aoctagon0.90text
Squareis asquare array of numbers0.90text

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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