A Group Action on Pandiagonal Lanna Magic Squares

Unyamanee Seanprom, Attapol Kaewkhao, Natee Tongsiri, Atichart Kettapun

Abstract

In this paper we use a concept of group action on subgroup of S16 to find the number of all pandiagonal Lanna magic squares generated from a set of Myanmar numbers found in a 4x4 non-normal Lanna magic square, called Buddha Khunnung 56 Yantra. Those numbers are 1-15 with repeated 8. This magic square is a talisman from Lanna Kingdom, an ancient kingdom of Thailand. The study found that there were 384 pandiagonal Lanna magic squares