olymmath

IGO 2016 A5

  • Advanced

Do there exist six points X1,X2,Y1,Y2,Z1,Z2X_1,X_2,Y_1, Y_2,Z_1,Z_2 in the plane such that all of the triangles XiYjZkX_iY_jZ_k are similar for 1≤i,j,k≤21\leq i, j, k \leq 2 ? Proposed by Morteza Saghafian

Dataset text AI-MO AoPS. Quoted with source.

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