MathDB

18

Part of 2011 Sharygin Geometry Olympiad

Problems(1)

min and max no of parts that are angles so that n lines divide the plane

Source: 2011 Sharygin Geometry Olympiad Correspondence Round P18

4/6/2019
On the plane, given are nn lines in general position, i.e. any two of them aren’t parallel and any three of them don’t concur. These lines divide the plane into several parts. What is a) the minimal, b) the maximal number of these parts that can be angles?
geometrycombinatorial geometrylinesDissecting planeSharygin Geometry Olympiad