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Stellation

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…

Art, Stellating polyhedra & Kepler's definition

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Overview

Kepler's definition

Stellating polygons

Stellating polyhedra

Stellating polytopes

Naming stellations

Stellation to infinity

From mathematics to art

Advanced semantic analysis

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Map overview Semantic statistics

Stellation

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

How this topic connects Entity context

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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 Word statistics

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Important terminology

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

Entity relationships Subject–Predicate–Object triples

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

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    Min side: 3
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