Constructing Magic Squares 3 Build a Most-Perfect 4x4 Jaina-type square using a Graeco-Latin Square

This video leads you through the construction steps to build a 4x4 Magic Square. The Magic Square is called a Most-perfect or a Strongly Magic Square because of its extraordinary symmetries. It is of the same family as the magic square built into the 10th-century Jain temple at Khajuraho in Madhya Pradesh, India which is one of the oldest known Magic Squares.
The construction depends on a recipe using a 4x4 Graeco-Latin square.
The video contains an animation illustrating the 40 different ways that the magic sum of 34 appears - a truly astonishing display of numerical symmetry!
The construction method and more information appears in an article published in The Monist (Vol 16 No1 January 1906 www.jstor.org/stable/27899639?seq=14#metadata_info_tab_contents).
W.S.Andrews refers to this construction in his book Magic Squares and Cubes first published in 1917