奇数阶泛对角线雪花幻方的构作

数学季刊 ›› 2004, Vol. 19 ›› Issue (2): 172-185.

奇数阶泛对角线雪花幻方的构作

College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China; Teaching and Research Section of Mathematics, the Ninth Middle School of Xinxiang, Xinxiang 453002, China

收稿日期:2002-09-02 出版日期:2004-06-30 发布日期:2024-03-19
作者简介:ZHANG Shi-de(1936-),male,native of Anyang,Henan,a professor of Henan Normal University, engages in combinatorial mathematics.

Constructing Pandiagonal Snowflake Magic Squares of Odd Order

College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China; Teaching and Research Section of Mathematics, the Ninth Middle School of Xinxiang, Xinxiang 453002, China

Received:2002-09-02 Online:2004-06-30 Published:2024-03-19
About author:ZHANG Shi-de(1936-),male,native of Anyang,Henan,a professor of Henan Normal University, engages in combinatorial mathematics.

摘要/Abstract

摘要： The constructional methods of pandiagonal snowflake magic squares of orders 4m are established in paper [3]. In this paper, the constructional methods of pandiagonal snowflake magic squares of odd orders n are established with n = 6m+l, 6m+5 and 6m+3, m is an odd positive integer and m is an even positive integer 9|6m + 3. It is seen that the number sets for constructing pandiagonal snowflake magic squares can be extended to the matrices with symmetric partial difference in each direction for orders 6m + 1 , 6m + 5; to the trisection matrices with symmetric partial difference in each direction for order 6m + 3.

关键词: pandiagonal magic squares, matrix with uniform partial difference in each direction, matrix with symmetric partial difference in each direction, trisection matrix with , uniform partial difference in each direction, semi-pandiagonal Latin square with the same
sum, pandiagonal Latin square, the property of snowfake

Abstract: The constructional methods of pandiagonal snowflake magic squares of orders 4m are established in paper [3]. In this paper, the constructional methods of pandiagonal snowflake magic squares of odd orders n are established with n = 6m+l, 6m+5 and 6m+3, m is an odd positive integer and m is an even positive integer 9|6m + 3. It is seen that the number sets for constructing pandiagonal snowflake magic squares can be extended to the matrices with symmetric partial difference in each direction for orders 6m + 1 , 6m + 5; to the trisection matrices with symmetric partial difference in each direction for order 6m + 3.

Key words: pandiagonal magic squares, matrix with uniform partial difference in each direction, matrix with symmetric partial difference in each direction, trisection matrix with , uniform partial difference in each direction, semi-pandiagonal Latin square with the same
sum, pandiagonal Latin square, the property of snowfake

中图分类号:

O156

张世德, 卢青文, 王际昭. 奇数阶泛对角线雪花幻方的构作[J]. 数学季刊, 2004, 19(2): 172-185.

ZHANG Shi-de, HU Qing-wen, WANG Ji-zhao . Constructing Pandiagonal Snowflake Magic Squares of Odd Order[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(2): 172-185.

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