Most-Perfect Pandiagonal Magic Squares
Their construction and enumeration
by Kathleen Ollerenshaw and David Brée.
This book gives a method of construction and enumeration of all pandiagonal magic squares of a class known as 'most-perfect'. Pandiagonal magic squares have the integers in all rows, all columns and all diagonals adding to the same sum. Characteristically, all integers come in complementary pairs along the diagonals and the integers in any 2 x 2 block of four add to the same sum. This is the first time, in thousands of years of mathematical experience that a method of construction has been found for a whole class. Formulas are given for the enumeration of all most-perfect squares, however large. Published by the IMA.
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