Keywords

#point_groups_in_three_dimensions

Point groups in three dimensions

Groups of point isometries in 3 dimensions

In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. It is a subgroup of the orthogonal group O(3), the group of all isometries that leave the origin fixed, or correspondingly, the group of orthogonal matrices. O(3) itself is a subgroup of the Euclidean group E(3) of all isometries.

Tue 3rd

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Point groups in three dimensions Point group Point groups in two dimensions Dihedral symmetry in three dimensions Point groups in four dimensions Schoenflies notation Space group List of spherical symmetry groups Cyclic symmetry in three dimensions Molecular symmetry
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