  We explore the behavior of two-dimensional patchy colloidal particles with 8
or 10 symmetrically arranged patches by employing Monte-Carlo simulations. The
particles interact according to an isotropic pair potential that possesses only
one typical length. The patches lead to additional attractions that are
anisotropic and depend on the relative orientation of two neighboring
particles. We investigate the assembled structures with a special interest in
quasicrystals. We found that the patch width is of great importance: Only in
case of narrow patch widths we are able to observe metastable octagonal and
decagonal quasicrystals, while dodecagonal quasicrystals can also occur for
broad patches. These results are important to understand the role of
interactions with preferred binding angles in order to obtain quasicrystals.
Our findings suggest that in case of sharp binding angles, as they occur in
metallic alloys, octagonal and decagonal symmetries might be observed more
often than in systems with less sharp binding angles as it is the case in soft
matter systems where dodecagonal quasicrystals dominate.
