Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Icosahedral_symmetry> ?p ?o. }
Showing items 1 to 24 of
24
with 100 items per page.
- Icosahedral_symmetry abstract "A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation. A regular dodecahedron has the same set of symmetries, since it is the dual of the icosahedron.The set of orientation-preserving symmetries forms a group referred to as A5 (the alternating group on 5 letters), and the full symmetry group (including reflections) is the product A5 × Z2. The latter group is also known as the Coxeter group H3, and is also represented by Coxeter notation, [5,3] and Coxeter diagram File:CDel node.pngFile:CDel 5.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png.".
- Icosahedral_symmetry thumbnail Icosahedral_reflection_domains.png?width=300.
- Icosahedral_symmetry wikiPageExternalLink books?id=i76mmyvDHYUC&pg=PA66.
- Icosahedral_symmetry wikiPageExternalLink The%20liquid-crystalline%20blue%20phases.pdf.
- Icosahedral_symmetry wikiPageExternalLink productCd-0471010030.html.
- Icosahedral_symmetry wikiPageID "2877844".
- Icosahedral_symmetry wikiPageRevisionID "602919234".
- Icosahedral_symmetry hasPhotoCollection Icosahedral_symmetry.
- Icosahedral_symmetry title "Icosahedral group".
- Icosahedral_symmetry urlname "IcosahedralGroup".
- Icosahedral_symmetry subject Category:Finite_groups.
- Icosahedral_symmetry subject Category:Rotational_symmetry.
- Icosahedral_symmetry type Abstraction100002137.
- Icosahedral_symmetry type FiniteGroups.
- Icosahedral_symmetry type Group100031264.
- Icosahedral_symmetry comment "A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation. A regular dodecahedron has the same set of symmetries, since it is the dual of the icosahedron.The set of orientation-preserving symmetries forms a group referred to as A5 (the alternating group on 5 letters), and the full symmetry group (including reflections) is the product A5 × Z2.".
- Icosahedral_symmetry label "Icosahedral symmetry".
- Icosahedral_symmetry sameAs m.088lml.
- Icosahedral_symmetry sameAs Q5986738.
- Icosahedral_symmetry sameAs Q5986738.
- Icosahedral_symmetry sameAs Icosahedral_symmetry.
- Icosahedral_symmetry wasDerivedFrom Icosahedral_symmetry?oldid=602919234.
- Icosahedral_symmetry depiction Icosahedral_reflection_domains.png.
- Icosahedral_symmetry isPrimaryTopicOf Icosahedral_symmetry.
!["A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation. A regular dodecahedron has the same set of symmetries, since it is the dual of the icosahedron.The set of orientation-preserving symmetries forms a group referred to as A5 (the alternating group on 5 letters), and the full symmetry group (including reflections) is the product A5 × Z2. The latter group is also known as the Coxeter group H3, and is also represented by Coxeter notation, [5,3] and Coxeter diagram File:CDel node.pngFile:CDel 5.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png."](?object=%22A%20regular%20icosahedron%20has%2060%20rotational%20(or%20orientation-preserving)%20symmetries%2C%20and%20a%20symmetry%20order%20of%20120%20including%20transformations%20that%20combine%20a%20reflection%20and%20a%20rotation.%20A%20regular%20dodecahedron%20has%20the%20same%20set%20of%20symmetries%2C%20since%20it%20is%20the%20dual%20of%20the%20icosahedron.The%20set%20of%20orientation-preserving%20symmetries%20forms%20a%20group%20referred%20to%20as%20A5%20(the%20alternating%20group%20on%205%20letters)%2C%20and%20the%20full%20symmetry%20group%20(including%20reflections)%20is%20the%20product%20A5%20%C3%97%20Z2.%20The%20latter%20group%20is%20also%20known%20as%20the%20Coxeter%20group%20H3%2C%20and%20is%20also%20represented%20by%20Coxeter%20notation%2C%20%5B5%2C3%5D%20and%20Coxeter%20diagram%20File%3ACDel%20node.pngFile%3ACDel%205.pngFile%3ACDel%20node.pngFile%3ACDel%203.pngFile%3ACDel%20node.png.%22%40en){kind=link}
