Research any topic before you write.

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

Petrie polygon

In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every n – 1 consecutive sides (but no n) belongs to one of the facets. The Petrie polygon of a regular polygon is the regular polygon itself; that of a regular polyhedron is a skew polygon such that every two consecutive sides (but no three) belongs to one of…

History, The Petrie polygons of the regular polyhedra & Overview

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 Petrie polygon. 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.

The Petrie polygons of the regular polyhedra

Two tetrahedraCube and octahedronDodecahedron and icosahedronRegular dualsDual compounds
13 related topics

History

EgyptologistsHildaFlinders PetriePatrick du ValThe Fifty-Nine Icosahedra
7 related topics

Overview

DodecahedronSkew polygonDecagonGeometryRegular polytope
18 related topics

The Petrie polygon of regular polychora (4-polytopes)

TesseractOctagon3-sphere
3 related topics

Topics to explore

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

Overview

History

The Petrie polygons of the regular polyhedra

The Petrie polygon of regular polychora (4-polytopes)

The Petrie polygon projections of regular and uniform polytopes

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

Petrie polygon

Nodes49
Edges48
Triples41
Avg. degree1.96
Density0.040816
Components1

How this topic connects Entity context

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

Petrie polygon

Top relations

related to Further reading · 25
Petrie polygon → Abstract Regular Polytopes, Cambridge University Press, Chapter, Coxeter, Dover, Dover Publications, Egon Schulte, Essays, Flags, Geometry, ISBN, LCCN, Mathematical Recreations, McMullen, New York, Orthoschemes, Petrie, Petrie Polygons, Regular, Regular Polytopes
related to The Petrie polygons of the regular polyhedra · 6
Petrie polygon → In, Kepler, Petrie, Poinsot, The, The Petrie
related to External links · 4
Petrie polygon → Eric, MathWorld, Petrie, Weisstein
related to The Petrie polygon of regular polychora (4-polytopes) · 3
Petrie polygon → As, Petrie, The Petrie
related to Hypercubes · 2
Petrie polygon → Petrie, So
related to The Petrie polygon projections of regular and uniform polytopes · 1
Petrie polygon → The Petrie

Important terminology Word statistics

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

Important terminology

petrie regular polygon polygons polytopes coxeter sides skew every one surface faces consecutive polyhedra also dual polytope belongs plane graph

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Petrie polygonrelated to External linksWeisstein0.60section
Petrie polygonrelated to External linksEric0.60section
Petrie polygonrelated to External linksPetrie0.60section
Petrie polygonrelated to External linksMathWorld0.60section
Petrie polygonrelated to Further readingCoxeter0.60section
Petrie polygonrelated to Further readingRegular Polytopes0.60section
Petrie polygonrelated to Further readingNew York0.60section
Petrie polygonrelated to Further readingDover0.60section
Petrie polygonrelated to Further readingSec0.60section
Petrie polygonrelated to Further readingPetrie Polygons0.60section
Petrie polygonrelated to Further readingChapter0.60section
Petrie polygonrelated to Further readingThe0.60section

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.