Panagiotis T. Krasopoulos,  Kronecker's approximation theorem and a sequence of triangles,
Forum Geometricorum 8 (2008) 27--37.

Abstract: We investigate the dynamic behavior of the sequence of nested triangles with a fixed division ratio on their sides. We prove a result concerning a special case that was not examined in Ziv, Forum Geom., 2 (2002) 115--128. We also provide an answer to an open problem posed by D. Ismailescu and J. Jacobs

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