Lohans de Oliveira Miranda

An Infinite Family of Near-Magic Squares of Squares: the 9p4 Conjecture

Whether a 3 ×3 magic square can be built from nine distinct perfect squares is a celebrated open problem of LaBar and Gardner. Relaxing it by one line yields Lee Sallows’ classical near- miss: nine distinct squares whose three rows, three columns and one diagonal share the common...

An Infinite Family of Near-Magic Squares of Squares: the 9p4 Conjecture

The existence of a 3 ×3 magic square whose nine entries are distinct perfect squares is a celebrated open problem. Relaxing the requirement by one line yields Lee Sallows’ classical example, a 3 ×3 array of nine distinct squares whose three rows, three columns, and one diagonal s...