On the Maximum Number of Non-intersecting Diagonals in an Array

Peter Boyland

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On the Maximum Number of Non-intersecting Diagonals in an Array

机译：关于阵列中不相交的对角线的最大数量

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We investigate the total number of diagonals that can be placed in the unit squares of a given grid in such a way that no two diagonals have a common point. We develop theoretical and computational results for square and rectangular shaped grids, and extend the problem to three-dimensional arrays. We pose some open questions for further investigation.

机译：我们调查可以放置在给定网格的单位正方形中的对角线总数，使得没有两个对角线具有公共点。我们开发了正方形和矩形网格的理论和计算结果，并将问题扩展到三维阵列。我们提出一些悬而未决的问题，以供进一步调查。

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《Journal of Integer Sequences》 |2017年第1期|共页
作者
Peter Boyland;
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中图分类数学;
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On the Maximum Number of Non-intersecting Diagonals in an Array

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