1. A method for manufacturing endless material for security elements having micro-optical moiré magnification arrangements that exhibit a motif grid comprising a plurality of micromotif elements and a focusing element grid comprising a plurality of microfocusing elements for moiré-magnified viewing of the micromotif elements, the method comprising: a) providing a motif grid comprising an at least locally periodic arrangement of micromotif elements in the form of a first one- or two-dimensional lattice, b) providing a focusing element grid comprising an at least locally periodic arrangement of a plurality of microfocusing elements in the form of a second one- or two-dimensional lattice, c) specifying a pattern repeat of the motif grid and/or of the focusing element grid on the endless material, d) determining whether the lattice of the motif grid and/or the lattice of the focusing element grid repeats periodically in the specified pattern repeat, and if not, determining a linear transformation that distorts the first and/or the second lattice such that it repeats periodically in the specified pattern repeat, and e) for the further manufacture of the endless material, replacing the motif grid or the focusing element grid by the motif grid that is distorted by the determined linear transformation, or the focusing element grid that is distorted by the determined linear transformation, wherein, in step c), a pattern repeat q along the endless longitudinal direction of the endless material is specified, wherein, in step d), a lattice point P of the first and/or the second lattice is selected that lies near an endpoint Q of a vector ( 0 q ) given by the longitudinal pattern repeat, and a linear transformation V is determined that maps P to Q.