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Stellation: Art, Stellating polyhedra & Kepler's definition

In geometry, stellation is the process of extending a polygon in two dimensions, a polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure. Starting with an original figure, the process extends specific elements such as its edges or face planes, usually in a symmetrical way, until they meet each other again to form…

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Stellation topic overview

The analysis highlights Art, Stellating polyhedra and Kepler's definition as prominent areas in the source structure around Stellation.

Related topics
73
Source areas
8
Connected nodes
81
Extracted relationships
123
Concept neighborhoods
32
Bridge connections
81

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.

Stellating polyhedra · 22 topics
Kepler's definition · 12 topics
Stellating polygons · 12 topics
From mathematics to art · 9 topics
Overview · 8 topics
Stellating polytopes · 5 topics
Naming stellations · 4 topics
Stellation to infinity · 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.

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

Kepler's definition

Stellating polygons

Stellating polyhedra

Stellating polytopes

Naming stellations

Stellation to infinity

From mathematics to art

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.

How Stellation connects Entity context

The extracted context around Stellation shows recurring relationship patterns in the source. For example, Stellation → Applet, Applet Archived, Archived, Beautiful MathFurther Stellations, Bulatov Polyhedra Stellation, Creation, DodecahedronStella, Enumeration, Eric, Facetting, George HartStellation, Icosahedron, Includes, John Lawrence Hudson The, Johnson, Mathematical Intelligencer, MathWorld, Number, OS, Polyhedra Stellations Another extracted example is Stellation → Acta Crystallographica A30, Bridge, Cambridge University Press, Coxeter, Du Val, Dual Models, Edition, England, Facetting, Flather, In, Inchbald, ISBN, Magnus, Messer, Petrie, Polyhedron Models, Regular, Stellations, Stradbroke. Use these groups to spot repeated connection types before inspecting the individual relationships.

Stellation

Top relations

related to External links · 30
Stellation → Applet, Applet Archived, Archived, Beautiful MathFurther Stellations, Bulatov Polyhedra Stellation, Creation, DodecahedronStella, Enumeration, Eric, Facetting, George HartStellation, Icosahedron, Includes, John Lawrence Hudson The, Johnson, Mathematical Intelligencer, MathWorld, Number, OS, Polyhedra Stellations
related to References · 25
Stellation → Acta Crystallographica A30, Bridge, Cambridge University Press, Coxeter, Du Val, Dual Models, Edition, England, Facetting, Flather, In, Inchbald, ISBN, Magnus, Messer, Petrie, Polyhedron Models, Regular, Stellations, Stradbroke
related to From mathematics to art · 17
Stellation → Alongside, Art, Basilica, Chaos, Contrast, Escher, Gravitation, Magnus Wenninger, Order, Paolo Uccello, Science, St Mark, The, The Italian Renaissance, Uccello's, Venice, Venice Biennale
related to Naming stellations · 10
Stellation → Cayley's, Conway, Coxeter, For, In, John Conway, Kepler, Poinsot, The, This
related to Other rules for stellation · 9
Stellation → As, Bridge, By, For, James Bridge, Miller, Miller's, Most, They
related to Miller's rules · 5
Stellation → In, Miller, The Fifty-Nine Icosahedra, These, Under Miller's
related to Stellation to infinity · 5
Stellation → By, However, The, Wenninger, Wenninger's
see also · 5
Stellation → Fifty-Nine IcosahedraList, List, Magnus Wenninger, Polyhedron Models, Wenninger
is a · 4
Stellation → process of extending a polygon in two dimensions, reciprocal or dual process to faceting, reciprocal or dual process to facetting, two-way process
related to Kepler's definition · 3
Stellation → For, In, Kepler

Important terminology

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

Important terminology

stellations polyhedra polyhedron icosahedron stellated new regular dodecahedron edges rules one process figure faces cells two original dual also polygon

Stellation relationships Subject–Predicate–Object triples

TTTA extracted 123 structured relationships around Stellation. Examples in this analysis include Stellation → is a → process of extending a polygon in two dimensions and Stellation → is a → reciprocal or dual process to faceting. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Stellationis aprocess of extending a polygon in two dimensions0.90text
Stellationis areciprocal or dual process to faceting0.90text
Stellationis areciprocal or dual process to facetting0.90text
Stellationis atwo-way process0.90text
its edges or face planesinstance ofthe process extends specific elements0.80text
usually in a symmetrical wayinstance ofthe process extends specific elements0.80text
until they meet each other again to form the closed boundary of a new figureinstance ofthe process extends specific elements0.80text
'stellated'instance ofThis allows a systematic use of words0.80text
'great'instance ofThis allows a systematic use of words0.80text
and 'grand' in devising names for the resulting figuresinstance ofThis allows a systematic use of words0.80text
Stellationrelated to External linksWeisstein0.60section
Stellationrelated to External linksEric0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Stellation bring nearby vocabulary together. In this analysis, examples include New, Called and Stellations. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Stellation
    • New
    • Called
    • Stellations
    • Polyhedra
    • Dual
    • Polyhedron
    • Figure
    • Two
    • Faces
    • Edges
    • Example
    • Face
  • stellation
    • New
    • Called
    • Stellations
    • Polyhedra
    • Dual
    • Polyhedron
    • Figure
    • Two
    • Faces
    • Edges
    • Example
    • Face
  • polyhedron
    • New
    • Planes
    • Dodecahedron
    • Edges
    • Form
    • Models
    • Stellated
    • Face
    • Cells
    • Icosahedron
    • Stellation
    • Dual
  • edges
    • Extending
    • New
    • Faces
    • Form
    • Planes
    • Process
    • Polyhedron
    • Called
    • Face
    • Original
    • Polygon
    • Figure
  • stellation diagram
    • New
    • Called
    • Stellations
    • Polyhedra
    • Dual
    • Polyhedron
    • Figure
    • Two
    • Faces
    • Edges
    • Example
    • Face
  • dual polyhedron
    • New
    • Planes
    • Dodecahedron
    • Process
    • Edges
    • Form
    • Models
    • Stellated
    • Face
    • Cells
    • Icosahedron
    • Stellation
  • kepler–poinsot polyhedra
    • Stellations
    • Great
    • Polyhedra
    • Icosahedron
    • Stellated
    • Dodecahedron
    • Rules
    • Stellation
    • Number
    • Polygons
    • Process
    • Example
  • stellation to infinity
    • New
    • Called
    • Stellations
    • Polyhedra
    • Dual
    • Polyhedron
    • Figure
    • Two
    • Faces
    • Edges
    • Example
    • Face

Connections between topic areas Semantic bridges

For Stellation, one of the stronger structural bridges in this analysis connects Stellation with Stellating polyhedra. 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
StellationStellating polyhedra · splits 59 ⟂ 23
StellationKepler's definition · splits 69 ⟂ 13
StellationStellating polygons · splits 69 ⟂ 13
StellationFrom mathematics to art · splits 72 ⟂ 10
StellationOverview · splits 73 ⟂ 9
StellationStellating polytopes · splits 76 ⟂ 6
StellationNaming stellations · splits 77 ⟂ 5

Map overview Semantic statistics

Stellation

Nodes82
Edges81
Triples123
Avg. degree1.98
Density0.02439
Components1

Source & methodology

TTTA analyzes the structure around Stellation to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Art, Stellating polyhedra & Kepler's definition, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Stellation · EN edition · Analysis: TopicsToTalkAbout

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