About: Edge-contracted icosahedron

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In geometry, an edge-contracted icosahedron is a polyhedron with 18 triangular faces, 27 edges, and 11 vertices.

Attributes	Values
rdfs:label	Edge-contracted icosahedron (en) 邊收縮二十面體 (zh)
rdfs:comment	In geometry, an edge-contracted icosahedron is a polyhedron with 18 triangular faces, 27 edges, and 11 vertices. (en) 在幾何學中，邊收縮二十面體是一種凸多面體，是指將正二十面體的其中1條邊作邊收縮變換後所產生的多面體，由18個三角形面、27條邊和11個頂點構成，擁有四階的C2v循環群對稱性，屬於三角面多面體，是十八面體中的一個特例。雖然邊收縮二十面體的面分布得很均勻，但不具有球體的對稱性。一般来说，面分布均勻的多面體的形狀會接近球体，但邊收縮二十面體却不具有此種特性。此外，具有這種結構的嚴格凸多面体的邊不能等長，因為有部分頂點為6三角形的公共頂點，若其為正三角形，則會造成这6個面共面，而無法组成嚴格凸多面體。因此，邊收縮二十面體亦可歸類為擬詹森多面體。 (zh)
foaf:depiction
dcterms:subject	Polyhedra
Wikipage page ID	40146883 (xsd:integer)
Wikipage revision ID	1094117199 (xsd:integer)
Link from a Wikipage to another Wikipage	Pyramid (geometry) Johnson solid Polyhedron Elongated octahedron Equilateral triangle Geometry Convex polytope Antiprism Deltahedron Augmentation (geometry) Pentagon Ball-and-stick model Polyhedra Grand antiprism Hexagon Vertex figure Chemistry Edge (geometry) Edge contraction Triangle Sphenocorona Square (geometry) Circumscribed sphere Icosahedron Vertex (geometry) Face (geometry) Octadecahedron Polytope Triamond Closo Cyclic symmetry
Link from a Wikipage to an external page	http://www.interocitors.com/polyhedra/Deltahedra/Convex
sameAs	Edge-contracted icosahedron Edge-contracted icosahedron Edge-contracted icosahedron Edge-contracted icosahedron
vertex config	281 (xsd:integer)
dbp:wikiPageUsesTemplate	dbt:Chem2 dbt:Math dbt:Reflist dbt:Short_description dbt:Sub dbt:Sup dbt:Polyhedra dbt:Infobox_polyhedron
thumbnail	wiki-commons:Special:FilePath/Double_diminished_icosahedron.png?width=300
net	Double_diminished_icosahedron_net.png (en)
edges	27 (xsd:integer)
properties	Convex polytope Deltahedron
symmetry	order 4 (en)
type	Octadecahedron
vertices	11 (xsd:integer)
has abstract	In geometry, an edge-contracted icosahedron is a polyhedron with 18 triangular faces, 27 edges, and 11 vertices. (en) 在幾何學中，邊收縮二十面體是一種凸多面體，是指將正二十面體的其中1條邊作邊收縮變換後所產生的多面體，由18個三角形面、27條邊和11個頂點構成，擁有四階的C2v循環群對稱性，屬於三角面多面體，是十八面體中的一個特例。雖然邊收縮二十面體的面分布得很均勻，但不具有球體的對稱性。一般来说，面分布均勻的多面體的形狀會接近球体，但邊收縮二十面體却不具有此種特性。此外，具有這種結構的嚴格凸多面体的邊不能等長，因為有部分頂點為6三角形的公共頂點，若其為正三角形，則會造成这6個面共面，而無法组成嚴格凸多面體。因此，邊收縮二十面體亦可歸類為擬詹森多面體。 (zh)
faces	18 (xsd:integer)
gold:hypernym	Polyhedron
prov:wasDerivedFrom	wikipedia-en:Edge-contracted_icosahedron?oldid=1094117199&ns=0
page length (characters) of wiki page	3567 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Edge-contracted_icosahedron
is Link from a Wikipage to another Wikipage of	Elongated octahedron Deltahedron 600-cell Thomson problem Near-miss Johnson solid Octadecahedron Polyhedral skeletal electron pair theory VSEPR theory Dissected icosahedron Dissected regular icosahedron Edge-diminished icosahedron
is Wikipage redirect of	Dissected icosahedron Dissected regular icosahedron Edge-diminished icosahedron
is foaf:primaryTopic of	wikipedia-en:Edge-contracted_icosahedron

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