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DE-BUNDESWETTBEWERB 2007 Problem 7

  • Round 2

A set EE of points in the 3D space let L(E)L(E) denote the set of all those points which lie on lines composed of two distinct points of E.E. Let TT denote the set of all vertices of a regular tetrahedron. Which points are in the set L(L(T))?L(L(T))?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2007 official paper, page 1.

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