IGO 2016 Advanced/5

For discussing Olympiad level Geometry Problems
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Thamim Zahin
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IGO 2016 Advanced/5

Unread post by Thamim Zahin » Tue Jan 10, 2017 4:33 pm

5. Do there exist six points $X_1,X_2, Y_1,Y_2,Z_1,Z_2$ in the plane such that all of the triangles $X_iY_jZ_k$ are similar for $1 \le i, j, k \le 2$?
I think we judge talent wrong. What do we see as talent? I think I have made the same mistake myself. We judge talent by the trophies on their showcases, the flamboyance the supremacy. We don't see things like determination, courage, discipline, temperament.

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