构建一个以拉马努金数作为乘积的重复幻方。
Construction of a repetitive magic square with Ramanujan's number as its product.
作者信息
Dhandapani Prasantha Bharathi, Leiva Víctor, Martin-Barreiro Carlos
机构信息
Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore, Tamil Nadu, India.
School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile.
出版信息
Heliyon. 2022 Nov 29;9(1):e12046. doi: 10.1016/j.heliyon.2022.e12046. eCollection 2023 Jan.
In this article, we build a repetitive magic square by multiplying four elements. This square is a matrix with its corresponding elements. The elements of this matrix that take different values allow us to obtain Ramanujan's number 1729 as its multiplicative magic constant. The additive magic constant of the square is the number 40. The elements of these magic constants form an arithmetic progression. An algorithm to build magic squares is also proposed.
在本文中，我们通过将四个元素相乘构建了一个重复幻方。这个幻方是一个具有相应元素的矩阵。该矩阵中取不同值的元素使我们能够得到拉马努金数1729作为其乘法幻常数。该幻方的加法幻常数是数字40。这些幻常数的元素构成一个等差数列。还提出了一种构建幻方的算法。
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