MathDB
The greatest integer

Source: Chinese TST

April 5, 2008
geometry3D geometrytetrahedroncombinatorics proposedcombinatorics

Problem Statement

Determine the greatest positive integer n n such that in three-dimensional space, there exist n points P1,P2,⋯ ,Pn, P_{1},P_{2},\cdots,P_{n}, among n n points no three points are collinear, and for arbitary 1≤i<j<k≤n 1\leq i < j < k\leq n, PiPjPk P_{i}P_{j}P_{k} isn't obtuse triangle.
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