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some one please help me with the following problem

Suppose that T_0 is the interior of a triangle in R^2 with vertices A,B,C. If T_1 is the interior of the trianlge whose vertices are midpoints of the sides of T_0, T_2 the intrior of the triangle whose vertices are midpoints of sides of T_1 and so on then what is in the set intersection(from j=0 to inf) T_j?

Thanks

Rakesh

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# Functional Analysis doubt

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