  Aperiodicity and un-conventional rotational symmetries allow quasicrystalline
structures to exhibit unprecedented physical and functional properties. In
magnetism, artificial ferromagnetic quasicrystals exhibited knee anomalies
suggesting reprogrammable magnetic properties via nonstochastic switching.
However, the decisive roles of short-range exchange and long-range dipolar
interactions have not yet been clarified for optimized reconfigurable
functionality. We report broadband spin-wave spectroscopy and X-ray
photoemission electron microscopy on different quasicrystal lattices consisting
of ferromagnetic Ni81Fe19 nanobars arranged on aperiodic Penrose and Ammann
tilings with different exchange and dipolar interactions. We imaged the
magnetic states of partially reversed quasicrystals and analyzed their
configurations in terms of the charge model, geometrical frustration and the
formation of flux-closure loops. Only the exchange-coupled lattices are found
to show aperiodicity-specific collective phenomena and non-stochastic
switching. Both, exchange and dipolarly coupled quasicrystals show magnonic
excitations with narrow linewidths in minor loop measurements. Thereby
reconfigurable functionalities in spintronics and magnonics become realistic.
