Alexei Myakishev, The M-configuration of a triangle,

Forum Geometricorum 3 (2003) 135--144.

Abstract: We give an easy construction of points A_a, B_a, C_a on the sides of a triangle ABC such that the figure M path   BC_aA_aB_aC consists of 4 segments of equal lengths. We study the configuration consisting of the three figures M of a triangle, and define an interesting mapping of triangle centers associated with such an M-configuration.

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