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- Plane_of_rotation abstract "In geometry, a plane of rotation is an abstract object used to describe or visualise rotations in space. In three dimensions it is an alternative to the axis of rotation, but unlike the axis of rotation it can be used in other dimensions, such as two, four or more dimensions.Mathematically such planes can be described in a number of ways. They can be described in terms of planes and angles of rotation. They can be associated with bivectors from geometric algebra. They are related to the eigenvalues and eigenvectors of a rotation matrix. And in particular dimensions they are related to other algebraic and geometric properties, which can then be generalised to other dimensions.Planes of rotation are not used much in two and three dimensions, as in two dimensions there is only one plane so identifying the plane of rotation is trivial and rarely done, while in three dimensions the axis of rotation serves the same purpose and is the more established approach. The main use for them is in describing more complex rotations in higher dimensions, where they can be used to break down the rotations into simpler parts. This can be done using geometric algebra, with the planes of rotations associated with simple bivectors in the algebra.".
- Plane_of_rotation wikiPageExternalLink books?id=AlvTCEzSI5wC.
- Plane_of_rotation wikiPageExternalLink books?id=NpJRkQfgtwUC.
- Plane_of_rotation wikiPageExternalLink books?id=kOsybQWDK4oC.
- Plane_of_rotation wikiPageID "25935424".
- Plane_of_rotation wikiPageRevisionID "563141547".
- Plane_of_rotation hasPhotoCollection Plane_of_rotation.
- Plane_of_rotation subject Category:Geometric_algebra.
- Plane_of_rotation subject Category:Orientation.
- Plane_of_rotation subject Category:Rotation_in_three_dimensions.
- Plane_of_rotation subject Category:Rotational_symmetry.
- Plane_of_rotation comment "In geometry, a plane of rotation is an abstract object used to describe or visualise rotations in space. In three dimensions it is an alternative to the axis of rotation, but unlike the axis of rotation it can be used in other dimensions, such as two, four or more dimensions.Mathematically such planes can be described in a number of ways. They can be described in terms of planes and angles of rotation. They can be associated with bivectors from geometric algebra.".
- Plane_of_rotation label "Plane of rotation".
- Plane_of_rotation sameAs m.0b6h8hh.
- Plane_of_rotation sameAs Q7201016.
- Plane_of_rotation sameAs Q7201016.
- Plane_of_rotation wasDerivedFrom Plane_of_rotation?oldid=563141547.
- Plane_of_rotation isPrimaryTopicOf Plane_of_rotation.