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- Plane_symmetry abstract "Plane symmetry means 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: Reflection groups. These are plane symmetry groups that are generated by reflections, possibly limited to reflections in lines through the origin. Rotation groups. These groups consist of rotations around a point. Translation groups. 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.↑".
- Plane_symmetry wikiPageID "4039330".
- Plane_symmetry wikiPageLength "1372".
- Plane_symmetry wikiPageOutDegree "11".
- Plane_symmetry wikiPageRevisionID "597014488".
- Plane_symmetry wikiPageWikiLink Axis_of_symmetry.
- Plane_symmetry wikiPageWikiLink Category:Euclidean_geometry.
- Plane_symmetry wikiPageWikiLink Circle_group.
- Plane_symmetry wikiPageWikiLink Euclidean_plane.
- Plane_symmetry wikiPageWikiLink Geometric_shape.
- Plane_symmetry wikiPageWikiLink Geometrical_figure.
- Plane_symmetry wikiPageWikiLink Group_(mathematics).
- Plane_symmetry wikiPageWikiLink Rectangle.
- Plane_symmetry wikiPageWikiLink Reflection_group.
- Plane_symmetry wikiPageWikiLink Rotational_symmetry.
- Plane_symmetry wikiPageWikiLink Square.
- Plane_symmetry wikiPageWikiLink Square_(geometry).
- Plane_symmetry wikiPageWikiLink Swastika.
- Plane_symmetry wikiPageWikiLink Translation_(geometry).
- Plane_symmetry wikiPageWikiLink Translation_group.
- Plane_symmetry wikiPageWikiLink Two-dimensional_space.
- Plane_symmetry wikiPageWikiLinkText "plane symmetry".
- Plane_symmetry hasPhotoCollection Plane_symmetry.
- Plane_symmetry wikiPageUsesTemplate Template:Elementary-geometry-stub.
- Plane_symmetry wikiPageUsesTemplate Template:Reflist.
- Plane_symmetry subject Category:Euclidean_geometry.
- Plane_symmetry type Article.
- Plane_symmetry type Article.
- Plane_symmetry comment "Plane symmetry means 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.".
- Plane_symmetry label "Plane symmetry".
- Plane_symmetry sameAs m.0bdyty.
- Plane_symmetry sameAs Q7201020.
- Plane_symmetry sameAs Q7201020.
- Plane_symmetry wasDerivedFrom Plane_symmetry?oldid=597014488.
- Plane_symmetry isPrimaryTopicOf Plane_symmetry.