Point Groups of 3-Space
Point Groups are finite subgroups of the group O(3) of isometries of three-dimensional Euclidean space. They play a fundamental role in the study of symmetry in chemistry, crystallography, and geometry.
Overview
- Classification: Point groups are categorized into several infinite families and a finite set of exceptional cases.
- Graph Theory Link: The algebraic symmetry group of any 3-connected planar graph can be realized as the isometry group of a convex polytope, and thus corresponds to a point group.
- Results: See Some Classification Results for detailed findings.
