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Space group

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In mathematics, physics and chemistry, a space group is the symmetry group of an object in space, usually in three dimensions. The elements of a space group (its symmetry operations) are the rigid transformations of an object that leave it unchanged. In three dimensions, space groups are classified into 219 distinct types, or 230 types if chiral copies are considered distinct. Space groups are discrete cocompact groups of isometries of an oriented Euclidean space in any number of dimensions. In dimensions other than 3, they are sometimes called Bieberbach groups.

Space group - Wikipedia Jump to content From Wikipedia, the free encyclopedia Symmetry group of a configuration in space The space group of hexagonal H 2 O ice is P6 3 / mmc . The first m indicates the mirror plane perpendicular to the c-axis (a), the second m indicates the mirror planes parallel to the c-axis (b), and the c indicates the glide planes (b) and (c). The black boxes outline the unit cell. In mathematics , physics and chemistry , a space group is the symmetry group of a repeating pattern in space, usually in three dimensions . [ 1 ] The elements of a space group (its symme

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