Abstract

Suppose T1 (resp. Δ1) is an isosceles triangle with base length 1 and with height 122 (resp. 132). Let S be a square with a side parallel to the base of T1 (resp. Δ1) and let {Sn} be a sequence of the homothetic copies of S. We first determine the bound of sums of areas of squares from the sequence {Sn} that permits a parallel packing of T1 (resp. Δ1). Then we generalize the results about packing T1 (resp. Δ1) with squares to some other triangles. Finally, we consider the parallel packing of the right triangle T2′ (with leg lengths 1 and 2) with squares.

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