Investigating the Antimagic Square

J. Cormie1, V. Lineki 1, Sheng Jiang2, Rui-Chen Chen2
1 Department of Mathematics and Statistics University of Winnipeg Winnipeg, Manitoba, R3B 2E9 CANADA
2Department of Mathematics Yangzhou University Yangzhou, Jiangsu 225002 P. R. CHINA

Abstract

The magic square is probably the most popular and well-studied topic in recreational mathematics. We investigate a variation on this classic puzzle — the antimagic square. We review the history of the problem, and the structure of the design. We then present computational results on the enumeration and construction. Finally, we describe a construction for all orders.