The diffraction pattern of quasicrystals can be misindexed in cases of
decorated hyperlattices (more than one hyperspace atomic motif per a
unit cell). The misindexing is fatal for proper determination of the a
tomic motifs. This warning is illustrated by a pedagogical 1D example
and a more realistic 2D example, which might be related to the decagon
al AlNiCo alloy.