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MR2334955 (2008i:28014) 28A80 (28A78)
Liu, Qing-Hui; Xi, Li-Feng; Zhao, Yan-Fen Dimensions of intersections of the Sierpinski carpet with lines of rational slopes. Proc. Edinb. Math. Soc. (2) 50 (2007), no. 2, 411–427.
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