Icosahedron
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- | In [[geometry]], an '''icosahedron''' ({{IPAc-en|icon|ˌ|aɪ|k|ɵ|s|ə|ˈ|h|iː|d|r|ə|n}} or {{IPAc-en|aɪ|ˌ|k|ɒ|s|ə|ˈ|h|iː|d|r|ə|n}}; plural: -drons, -dra {{IPA|/-drə/}}; {{lang-el|εικοσάεδρον}}, from ''eikosi'' twenty + ''hedron'' seat) is a [[regular polyhedron]] with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five [[Platonic solid]]s. | + | In [[geometry]], an '''icosahedron''' is a [[regular polyhedron]] with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five [[Platonic solid]]s. |
It has five triangular faces meeting at each vertex. It can be represented by its [[vertex figure]] as ''3.3.3.3.3'' or ''3<sup>5</sup>'', and also by [[Schläfli symbol]] {''3,5''}. It is the [[dual polyhedron|dual]] of the [[dodecahedron]], which is represented by {''5,3''}, having three pentagonal faces around each vertex. | It has five triangular faces meeting at each vertex. It can be represented by its [[vertex figure]] as ''3.3.3.3.3'' or ''3<sup>5</sup>'', and also by [[Schläfli symbol]] {''3,5''}. It is the [[dual polyhedron|dual]] of the [[dodecahedron]], which is represented by {''5,3''}, having three pentagonal faces around each vertex. | ||
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In geometry, an icosahedron is a regular polyhedron with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five Platonic solids.
It has five triangular faces meeting at each vertex. It can be represented by its vertex figure as 3.3.3.3.3 or 35, and also by Schläfli symbol {3,5}. It is the dual of the dodecahedron, which is represented by {5,3}, having three pentagonal faces around each vertex.
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