We construct nine lines in the plane over the integers having the property that for any three general points in the plane over any field, at last one of the constructed lines avoids the three points. We then show that nine lines is the fewest number possible having this property.
Skjelnes, Roy Mikael
"Nine lines are needed to avoid any three general points,"
The Mathematics Enthusiast: Vol. 15
, Article 5.
Available at: https://scholarworks.umt.edu/tme/vol15/iss3/5