Adiceam, FaustinDamanik, DavidGähler, FranzGrimm, UweHaynes, AlanJulien, AntoineNavas, AndrésSadun, LorenzoWeiss, Barak2017-12-192017-12-192016Adiceam, Faustin, Damanik, David, Gähler, Franz, et al.. "Open Problems and Conjectures Related to the Theory of Mathematical Quasicrystals." <i>Arnold Mathematical Journal,</i> 2, no. 4 (2016) Springer: 579-592. https://doi.org/10.1007/s40598-016-0046-6.https://hdl.handle.net/1911/98893This list of problems arose as a collaborative effort among the participants of the Arbeitsgemeinschaft on Mathematical Quasicrystals, which was held at the Mathematisches Forschungsinstitut Oberwolfach in October 2015. The purpose of our meeting was to bring together researchers from a variety of disciplines, with a common goal of understanding different viewpoints and approaches surrounding the theory of mathematical quasicrystals. The problems below reflect this goal and this diversity and we hope that they will motivate further cross-disciplinary research and lead to new advances in our overall vision of this rapidly developing field.engThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.Open Problems and Conjectures Related to the Theory of Mathematical QuasicrystalsJournal articleproblem setquasicrystalsconjecturestilingcut-and-project setsOpen-Problems-and-Conjectureshttps://doi.org/10.1007/s40598-016-0046-6