从穿孔光盘算术无限friezes
Arithmetic infinite friezes from punctured discs
摘要：
我们定义了正整数的无限中楣的概念作为Conway-Coxeter中楣模式的一种变体，并研究了它们的性质。我们介绍了有用的胶合和切割操作无限friezes。事实证明，一次穿孔圆盘的三角剖分会产生具有特殊性质的周期性无限中楣，一个值得注意的例子是每个对角线由一组等差数列组成。此外，我们制定了一个组合解释的条目的无限friezes相关的三角形的一次穿孔的光盘通过匹配号码为某些组合的对象，即周期性的三角形带。或者，我们考虑一个已知的算法，如我们所示，也计算这些条目。
英文摘要：
We define the notion of infinite friezes of positive integers as a variation of Conway-Coxeter frieze patterns and study their properties. We introduce useful gluing and cutting operations on infinite friezes. It turns out that triangulations of once-punctured discs give rise to periodic infinite friezes having special properties, a notable example being that each diagonal consists of a collection of arithmetic progressions. Furthermore, we work out a combinatorial interpretation of the entries of infinite friezes associated to triangulations of once-punctured discs via matching numbers for certain combinatorial objects, namely periodic triangulations of strips. Alternatively, we consider a known algorithm that as we show computes as well these entries.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
