The Crystallographic Point Groups

Steven Dutch, Professor Emeritus, Natural and Applied Sciences, University of Wisconsin - Green Bay

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This page describes the 32 crystallographic point groups. For general information on all three-dimensional symmetries, including non-crystallographic symmetries, see Three-Dimensional Point Groups.

Triclinic, Monoclinic and Orthorhombic Symmetries

Trigonal Symmetries

Hexagonal Symmetries

Tetragonal Symmetries

Isometric Symmetries

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Created 15 Sep 1997, Last Update 3 Oct 1997