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- Tetrahedral_symmetry abstract "A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.The group of all symmetries is isomorphic to the group S4, symmetric group, as a permutations of four objects, since there is exactly one such symmetry for each permutation of the vertices of the tetrahedron. The set of orientation-preserving symmetries forms a group referred to as the alternating subgroup A4 of S4.".
- Tetrahedral_symmetry thumbnail Tetrahedral_reflection_domains.png?width=300.
- Tetrahedral_symmetry wikiPageExternalLink productCd-0471010030.html.
- Tetrahedral_symmetry wikiPageID "2904472".
- Tetrahedral_symmetry wikiPageRevisionID "602919240".
- Tetrahedral_symmetry hasPhotoCollection Tetrahedral_symmetry.
- Tetrahedral_symmetry title "Tetrahedral group".
- Tetrahedral_symmetry urlname "TetrahedralGroup".
- Tetrahedral_symmetry subject Category:Finite_groups.
- Tetrahedral_symmetry subject Category:Rotational_symmetry.
- Tetrahedral_symmetry type Abstraction100002137.
- Tetrahedral_symmetry type FiniteGroups.
- Tetrahedral_symmetry type Group100031264.
- Tetrahedral_symmetry comment "A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.The group of all symmetries is isomorphic to the group S4, symmetric group, as a permutations of four objects, since there is exactly one such symmetry for each permutation of the vertices of the tetrahedron. The set of orientation-preserving symmetries forms a group referred to as the alternating subgroup A4 of S4.".
- Tetrahedral_symmetry label "A4 (Gruppe)".
- Tetrahedral_symmetry label "Tetrahedral symmetry".
- Tetrahedral_symmetry sameAs A4_(Gruppe).
- Tetrahedral_symmetry sameAs m.08bkz4.
- Tetrahedral_symmetry sameAs Q280222.
- Tetrahedral_symmetry sameAs Q280222.
- Tetrahedral_symmetry sameAs Tetrahedral_symmetry.
- Tetrahedral_symmetry wasDerivedFrom Tetrahedral_symmetry?oldid=602919240.
- Tetrahedral_symmetry depiction Tetrahedral_reflection_domains.png.
- Tetrahedral_symmetry isPrimaryTopicOf Tetrahedral_symmetry.
