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Remove four points from R^3

Source: Germany Bundeswettbewerb Mathematik 2007, Round 2, Problem 3

July 18, 2008
geometry3D geometrytetrahedronvectorgeometry unsolved

Problem Statement

A set E E 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 T T denote the set of all vertices of a regular tetrahedron. Which points are in the set L(L(T))? L(L(T))?
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