In this article we show the Art that hides in the distribution of numbers in the multiplication table modulo k. Journal of Humanistic Mathematics Vol 7, No 1, January 2017 Zoheir Barka 203 Conclusion In this note we have shown several of the symmetries that hide among the distribution of numbers in the multiplication table of positive integers. Using Excel, we created several images that display much symmetry and even fractal-like properties. All of the patterns can without much difficulty be explained by a thorough exploration of modular arithmetic and divisibility criteria. However we believe that displaying these symmetries using colors introduces a new facet of this well-known field of mathematics. These images and others created in similar ways may appeal to students of mathematics and the arts, and may lead to new collaborations. At the very least such images may, we hope, intrigue, amaze, and inspire.

中文翻译：

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乘法表的隐藏对称性

在本文中，我们将展示隐藏在乘法表以k为模的数字分布中的艺术。Journal of Humanistic Mathematics Journal第7卷，第1期，2017年1月，Zoheir Barka 203结论在本注释中，我们显示了隐藏在正整数乘法表中数字分布中的几种对称性。使用Excel，我们创建了几幅图像，这些图像显示出很多对称性，甚至具有分形特征。可以通过对模块算术和除数准则的深入研究来解释所有模式。但是，我们相信使用颜色显示这些对称性会为这个著名的数学领域带来新的面貌。这些图像和其他以类似方式创建的图像可能会吸引数学和艺术专业的学生，​​并可能导致新的合作。