论文标题

Ammann tilings的Ammann酒吧

Ammann Bars for Octagonal Tilings

论文作者

Fernique, Thomas, Porrier, Carole

论文摘要

Ammann条是由瓷砖瓷砖上的片段(装饰品)形成的,使得与它们形成直线时,同时瓷砖势力非周期性。从罗伯特·安曼(Robert Ammann)对Penrose瓷砖的观察开始,只有少数情况是知道的,但是没有一般的解释或构造。在本文中,我们提出了一种基于子周期概念的剪切和项目块状方法的通用方法,并使用与我们所谓的Cyrenaic Tilings相关的36个装饰原型的多个饰物集对其进行了说明。

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.

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