MathDB
set of k lines has 3 skew or 3 concurrent

Source: VJIMC 1999 2.1

July 30, 2021
geometrycombinatoricscombinatorial geometry3D geometry

Problem Statement

Find the minimal kk such that every set of kk different lines in R3\mathbb R^3 contains either 33 mutually parallel lines or 33 mutually intersecting lines or 33 mutually skew lines.