On some new simple perfect squared squares

AbstractTransformation techniques due to Federico and Willcocks are applied to obtain the first known simple perfect squared square of order 24 from Duijvestijn's computer results for lower order. Similarly, twelve new simple squared squares of order 25 are added to the existing eight found by Federico and Wilson. Our emphasis is on four simple perfect squared squares of order 25 and common reduced side 540. They have 12 elements in common but have pairwise identical elements differently arranged