Duero, Jessa Camille C.Jessa Camille C.DueroKlaassen, BernhardBernhardKlaassen2026-02-142026-02-142023https://publica.fraunhofer.de/handle/publica/5066282-s2.0-85187128379In this paper, the existence of spiral structure in certain types of tilings is investigated. Following a question posed by Branko Grünbaum, it is demonstrated that all Archimedean tilings can be partitioned in a spiral like manner thereby fulfilling a definition given in 2017 for this visual effect. Furthermore, to show that this is not possible for every arbitrary periodic tiling, non “spirable” examples are constructed in the sense of this definition. Lastly, an intuitive result for one-armed spirals is established: one-armed spirals and periodic tilings cannot coexist.enfalseone-armed spiralperiodicspiral tilingtilingjournal article