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Magic squares have been well explored here on Earth [1], but there appears tohave been little-to-no examination of $\textit{lunar}$ magic squares. Somekinds of magic squares exist on the moon (i.e. under lunar arithmetic) but noton Earth (i.e. under traditional arithmetic). Other types of magic squares aredifficult to construct here on Earth but are plentiful in the lunar terrain.Examples of such are given here.

There is a $3\times3$ Magic Square of Squares on the Moon - A Lot of Them, Actually