Replication property for magic squares
Date of Publication
1999
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This paper is an exposition of Daniel B. Shapiro's article A Replication Property for Magic Squares , published in Mathematics Magazine, Volume 65, Number 3, June 1992. A matrix A is said to have the Replication Property if its derived matrix A' equals a constant matrix plus a shifted version of A. This study presents a solution in finding m x n matrices that possess the Replication Property by using the concepts of matrices, complex numbers and vector spaces. The paper also shows that any array with the replication property is a linear combination of blow-ups of certain squares of sizes 1 x 1, 3 x 3 and 12 x 12.
Abstract Format
html
Language
English
Format
Accession Number
TU09226
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
89 leaves
Recommended Citation
Angeles, A. S., & Ramirez, A. D. (1999). Replication property for magic squares. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16558
