论文标题
瓦勒的一个基因单位
An aperiodic monotile for the tiler
论文作者
论文摘要
整个平面可以用一个迫使大气线的单个瓷砖铺设吗？这被称为EIN Stein问题（在德语中，Ein Stein的意思是一个瓷砖）。本文为泰勒派出了一个上的单一单一单动性。它基于泰勒和社交（通过主要是六边形的非连接瓷砖强迫其多个神经性）和基于基序的六边形瓷砖而开发的单托动物。提议的单托动物由两层组成。不需要图案就可以使单一的aperiodic进行。可以将其他图案添加到单托动物中，以提供一些见解。使用此类基序以使用这种图案证明。
Can the entire plane be paved with a single tile that forces aperiodicity? This is known as the ein Stein problem (in German, ein Stein means one tile). This paper presents an aperiodic monotile for the tiler. It is based on the monotile developed by Taylor and Socolar (whose aperiodicity is forced by means of a non-connected tile that is mainly hexagonal) and motif-based hexagonal tilings that followed this major discovery. The proposed monotile consists of two layers. No motif is needed to make the monotile aperiodic. Additional motifs can be added to the monotile to provide some insights. The proof of aperiodicity is presented with the use of such motifs.
