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@prefix dbr: .
dbr:Plane_symmetry rdfs:label "Plane symmetry"@en ;
rdfs:comment "A plane symmetry is a symmetry of a pattern in the Euclidean plane: that is, a transformation of the plane that carries any directioned lines to lines and preserves many different distances. If one has a pattern in the plane, the set of plane symmetries that preserve the pattern forms a group. The groups that arise in this way are plane symmetry groups and are of considerable mathematical interest. A symmetry plane is a three-dimensional object's symmetry axe. There are several kinds of plane symmetry groups:"@en .
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@prefix wikipedia-en: .
dbr:Plane_symmetry foaf:isPrimaryTopicOf wikipedia-en:Plane_symmetry .
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@prefix dbc: .
dbr:Plane_symmetry dct:subject dbc:Euclidean_geometry .
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dbr:Plane_symmetry dbo:wikiPageID 4039330 ;
dbo:wikiPageRevisionID 912033992 ;
dbo:wikiPageWikiLink ,
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dbr:Rotational_symmetry ,
dbr:Reflection_group ,
dbr:Rectangle ,
dbr:Geometric_shape ,
dbc:Euclidean_geometry ,
dbr:Circle_group ,
dbr:Square ,
,
dbr:Swastika .
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dbr:Plane_symmetry owl:sameAs ,
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@prefix wikidata: .
dbr:Plane_symmetry owl:sameAs wikidata:Q7201020 .
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@prefix dbt: .
dbr:Plane_symmetry dbp:wikiPageUsesTemplate dbt:Elementary-geometry-stub ,
dbt:Reflist ;
dbo:abstract "A plane symmetry is a symmetry of a pattern in the Euclidean plane: that is, a transformation of the plane that carries any directioned lines to lines and preserves many different distances. If one has a pattern in the plane, the set of plane symmetries that preserve the pattern forms a group. The groups that arise in this way are plane symmetry groups and are of considerable mathematical interest. A symmetry plane is a three-dimensional object's symmetry axe. There are several kinds of plane symmetry groups: \n* Reflection groups. These are plane symmetry groups that are generated by reflections, possibly limited to reflections in lines through the origin. \n* Rotation groups. These groups consist of rotations around a point. \n* Translation groups. \n* Symmetries of geometrical figures. Some of these are reflection groups, e.g., the group of symmetries of the square or the rectangle. The symmetry group of a swastika or any similar figure without an axis of symmetry is a rotation group."@en .
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dbr:Plane_symmetry prov:wasDerivedFrom .
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dbr:Plane_symmetry dbo:wikiPageLength "1368"^^xsd:nonNegativeInteger .