  Designing particles that are able to form icosahedral quasicrystals (IQCs)
and that are as simple as possible is not only of fundamental interest but is
also important to the potential realization of IQCs in materials other than
metallic alloys. Here we introduce one-component patchy-particle systems that
in simulations are able to form face-centred IQCs that are made up of
interconnected icosahedra. The directional bonding of the particles facilitates
the formation of a network of bonds with icosahedral orientational order and
hence quasiperiodic positional order. The assembled quasicrystals have similar
energies to periodic approximants but are entropically stabilized by phason
disorder. Their long-range quasiperiodic order is confirmed by a
higher-dimensional analysis. Promising routes to realize these IQCs
experimentally include via protein design and DNA origami particles.
