Arithmetics of 2-friezes
Arithmetics of 2-friezes
复制标题
2-楣板的算术
DOI：
10.1007/s10801-012-0348-2
复制
发表时间：
2011
影响因子：
0.8
通讯作者：
S. Morier
中科院分区：
文献类型：
--
作者：
S. Morier
我们考虑Coxeter-Conway Frieze图案的变体，称为2-Frieze。证明了当数组的宽度大于4时，存在无穷多个闭整2-曲折(即只包含正整数)，并引入了生成更大或更小的闭整2-曲折的运算。
We consider the variant of Coxeter–Conway frieze patterns called 2-frieze. We prove that there exist infinitely many closed integral 2-friezes (i.e. containing only positive integers) provided the width of the array is bigger than 4. We introduce operations on the integral 2-friezes generating bigger or smaller closed integral 2-friezes.