regular polygons with diagonals
The octagon and dodecagon were constructed using only Microsoft Paint, a tool which sadly the Greeks ignored in favor of straightedge and compass.
regular octagon regular dodecagon regular 65-gon with diagonals The 2015 diagonals of the regular 65-gon make 677105 intersections, form 679056 regions, and cut themselves into 1356160 segments.
(It also makes great desktop wallpaper.)