“…In this context, a variety of geometries have been studied that exhibits more, less or different couplings between macrospins. Among these are asymmetric Ising-like systems with an as-grown ordering and emergent magnetic monopoles [315][316][317][318] , quasi-crystalline arrays with local transient states and frustration [319][320][321] , ordering in glass-like arrays 322 , the 'tetris', 'shakti', 'cairo', 'brickwork' or rewritable-square-ice lattice that exhibit reduced dimensionality, phase transitions, topological measures and local manipulability 268,278,311,[323][324][325][326][327][328] , arrays with an emergent chirality and artificial ferromagnetism [329][330][331] , implementations of artificial ferrimagnetism 332 , the presence of a phase coexistence described in relation to the Potts model 333,334 , 'anti'-spin-ice systems 335,336 , interaction-modified arrays 337,338 , interconnected variants 308,[339][340][341][342][343] or the coupling to additional functional layers 344 .…”