# LatticeCopiesΒΆ

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Many geometries like photonic crystals are constructed by a replication of a unit cell geometry at certain positions of a lattice. The following figure shows such a geometry with several circles copied to the lattice positions of a square lattice while omitting some lattice points (see the example in the GeoTutorial Lattice Copies):

A lattice is defined by two lattice vectors and , the structures is replicated at positions displaced by

with integers and . The lattice vectors are defined by their lengths (LatticeVectorLengths) and the angle between them (LatticeAngle), that is

The lattice positions where the replicated geometry is actually placed can be defined in sub-sections Positions.