- 1,456

- 44

- Problem Statement
- Say that we have a convex quadrilateral, and then draw a finite number of lines inside of it. Then, it's clear that the quadrilateral is now made up of a finite number of, say, ##n## polygons. Let ##s_i## be the number of sides of polygon ##n##. Is it possible that ##\sum s_i > 4n##?

- Relevant Equations
- N/A

I can construct examples that are less than or equal to ##4n## quite easily, but for the life of me I cannot come with example where it's greater than