We show that the seif-affine sets considered by McMullen [ 15 ] and Bedford [ 2 ] have infinite packing measure in their packing dimension θ except when all non-empty rows of the initial pattern have the same number of rectangles. More precisely, the packing measure is infinite in the gauge t θ |log t | −1 and zero in the gauge t θ |log t | −1−δ for any δ > 0.
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Yuval Peres (1994) studied this question.