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Octagon

In geometry, an octagon (from Ancient Greek ὀκτάγωνον (oktágōnon) 'eight angles') is an eight-sided polygon or 8-gon.

Applications, Properties & Use

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

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Key facts & relationships

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

Dual polygon
Self
Edges and vertices
8
Internal angle (degrees)
135°
Properties
Convex, cyclic, equilateral, isogonal, isotoxal
Schläfli symbol
{8}, t{4}
Symmetry group
Dihedral (D8), order 2×8

Topics to explore

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Overview

Properties

Skew

Symmetry

Use

Derived figures

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

Octagon

Nodes101
Edges100
Triples112
Avg. degree1.98
Density0.019802
Components1

How this topic connects Entity context

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Octagon

Top relations

related to Use · 30
Octagon → Aachen Cathedral, Addis Ababa, Apulia, Architects, Athens, Basilica, Callam Offices, Canberra, Carolingian Palatine Chapel, Castel, Florence Baptistery, George's Cathedral, Germany, Intelsat Headquarters, Italia, John Andrews, Monte, Nidaros Cathedral, Norway, Ravenna
related to Symmetry · 14
Octagon → Cyclic, Dih1, Dih2, Dih4, Dih8, Full, John Conway, On, The, There, Z1, Z2, Z4, Z8
related to Dissectibility · 11
Octagon → A006245, Ammann, Beenker, Coxeter, For, In, OEIS, Petrie, The, These, This
related to Construction · 8
Octagon → AOE, Draw, EOG, FOB, GOA, GOC, HOD, Note
see also · 8
Octagon → Al Quds Star, Budapest, Bumper, Hizb, HungaryRub, Islamic, Octa Star, Oktogon
related to Petrie polygons · 5
Octagon → A7, B4, D5 Coxeter, Petrie, The
related to Diagonality · 4
Octagon → Long, Medium, Short, The
is a · 3
Octagon → closed figure with sides of the same length and internal angles of the same size, Petrie polygon for these higher-dimensional regular and uniform polytopes, skew polygon with eight vertices and edges but not existing on the same plane
related to Properties · 3
Octagon → As, Assuming, If
related to Regularity · 3
Octagon → It, Schläfli, The

Important terminology Word statistics

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Important terminology

regular octagonal square vertices symmetry truncated two edges length also sides eight angles side constructed faces one polygon skew area

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
OctagonDual polygonSelf1.00infobox
OctagonEdges and vertices81.00infobox
OctagonInternal angle (degrees)135°1.00infobox
OctagonPropertiesConvex, cyclic, equilateral, isogonal, isotoxal1.00infobox
OctagonSchläfli symbol{8}, t{4}1.00infobox
OctagonSymmetry groupDihedral (D8), order 2×81.00infobox
OctagonTypeRegular polygon1.00infobox
Octagonis aclosed figure with sides of the same length and internal angles of the same size0.90text
Octagonis askew polygon with eight vertices and edges but not existing on the same plane0.90text
Octagonis aPetrie polygon for these higher-dimensional regular and uniform polytopes0.90text
Stinstance ofThe octagonal plan has also been in church architecture0.80text
John Andrews have used octagonal floor layouts in buildings for functionally separating office areas from building servicesinstance ofsuch as the octagonal apse of Nidaros Cathedral.Architects0.80text

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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