The growth form (or corona limit) of a tiling is the limit form of its coordination shells, i.e. its set of tiles located at a fixed distance from some tile. We give an overview of current results, conjectures and open questions about growth forms, including periodic, multigrid, substitution, and hat tilings.

翻译：铺砌的增长形式（或称冠状极限）是指其配位壳层（即与某块铺砌单元保持固定距离的铺砌单元集合）的极限形态。本文系统综述了关于增长形式的现有研究成果、理论猜想及未解问题，涵盖周期铺砌、多重网格铺砌、替换铺砌及帽型铺砌等类型。