Ammann bars are formed by segments (decorations) on the tiles of a tiling such that forming straight lines with them while tiling forces non-periodicity. Only a few cases are known, starting with Robert Ammann's observations on Penrose tiles, but there is no general explanation or construction. In this article we propose a general method for cut and project tilings based on the notion of subperiods and we illustrate it with an aperiodic set of 36 decorated prototiles related to what we called Cyrenaic tilings.

翻译：阿曼杆是通过在铺砌的瓦片上添加线段（装饰）而形成的，使得在铺砌时将这些线段连成直线会强制产生非周期性。目前已知的案例很少，始于罗伯特·阿曼对彭罗斯瓦片的观察，但缺乏通用的解释或构造方法。本文提出了一种基于子周期概念的截影铺砌通用方法，并通过一组与我们称为昔兰尼铺砌相关的36个装饰原型瓦片构成的非周期集合进行了说明。