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Groups determined by rotation through any given rational part
Groups determined by one arbitrary mirror rotation
Groups determined by two rotations
13 other sections not shown
anti-equal antiaxis antiplane of symmetry antirotation antisymmetry axes axis of symmetry axis X3 belonging to group black tetrahedra Bravais lattices center of symmetry change of sign co:m coincides colored centering colored translation components considered consists corresponding cosines Crystall crystallographic groups depicted derived diagram dichromatic elements of symmetry Enantiomorphic figures equivalent example of figures faces Fedorov groups Figures belonging formula four-fold given group oo groups determined groups of mixed groups of series groups of symmetry intersecting inversion Kristall limiting group longitudinal planes main axis matrix mirror axis mirror rotation mixed polarity monoclinic mosaic oo:m oo/m oo/mm operations of symmetry perpendicular plane figures plane of symmetry point groups polar tensors position previously right-handed screw axis shown in Fig Shubnikov groups space groups sphere spherical triangle symbol symmetrical figure symmetrical operations symmetrical transformation symmetry groups tensors Theorem three-dimensional figures three-dimensional space three-fold axis two-fold axis uncolored vector white tetrahedra