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We find the numbers of $3 \times 3$ magic, semimagic, and magilatin squares,as functions either of the magic sum or of an upper bound on the entries in thesquare. Our results on magic and semimagic squares differ from previous ones inthat we require the entries in the square to be distinct from each other and wederive our results not by \emph{ad hoc} reasoning but from the generalgeometric and algebraic method of our paper "An enumerative geometry for magicand magilatin labellings". Here we illustrate that method with a detailedanalysis of $3\times3$ squares.

Six Little Squares and How Their Numbers Grow