SYMMETRY IN TWO DIMENSIONS: Point symmetry operations in two dimensions -- Coordinate systems and symmetry operations -- Translational symmetry: lattices and unit cells -- Allowed rotational symmetries of lattices -- Unit cell coordinates: describing structures -- Glide symmetry -- Two-dimensional space groups -- Construction and interpretation of space group symbols -- Using the International Tables -- THREE-DIMENSIONAL POINT GROUPS: Point symmetry operations -- Enumeration of the point groups -- Point groups by system -- Coordinate systems and the order of symbols -- THREE-DIMENSIONAL SPACE GROUPS: Three-dimensional lattices -- Glide and screw axes -- Three-dimensional space groups -- Using the International Tables -- Sub- and super-groups of space groups -- Symmetry and the quartz structure-a case study -- LATTICE GEOMETRY: Directions in a crystal -- Planes and Miller indices -- Relations between zones (directions) and planes -- Unit cell transformations -- Crystallographic calculations -- Drawing crystal structures and using cell transformations -- POLYHEDRA AND TILINGS: Polyhedra -- Polyhedral clusters -- Circle packings and tilings of the plane -- Layers of tetrahedra and/or octahedra: sheet silicates -- Aperiodic tilings and quasicrystals -- SPHERE AND CYLINDER PACKINGS: The densest packing of spheres -- Body-centered cubic (bcc) -- Sphere packings and relationships between them -- Sphere packings with cube and trigonal prism sites -- A summary of sphere packings -- Some packings of two kinds of spheres -- Cylinder (rod) packings -- NETS AND INFINITE POLYHEDRA: 3-connected nets -- 4-connected nets -- Nets and infinite polyhedra -- Rare and dense 4-connected nets -- Clathrate hydrates, foams and grains -- A summary of the simpler 4-connected nets -- Zeolite nets -- 5-connected nets -- Nets with mixed connectivity.
