论文标题
斐波那契直接产品变化砖
Fibonacci direct product variation tilings
论文作者
论文摘要
两个斐波那契瓷砖的直接产物可以描述为具有四个原型的真正石膨胀规则。该规则承认各种修改，这导致了48种不同的通货膨胀规则，称为直接产品变化。它们都导致斜利在理论上是由halmos-von neumann Therorem衡量的同构。它们可以描述为在二维欧几里得内部空间中具有特征性窗口的切割和项目集。在这里，我们对它们进行了进一步分析和分类，特别是在拓扑结合方面。
The direct product of two Fibonacci tilings can be described as a genuine stone inflation rule with four prototiles. This rule admits various modifications, which lead to 48 different inflation rules, known as the direct product variations. They all result in tilings that are measure-theoretically isomorphic by the Halmos--von Neumann theorem. They can be described as cut and project sets with characteristic windows in a two-dimensional Euclidean internal space. Here, we analyse and classify them further, in particular with respect to topological conjugacy.
