I have experimented with squared parks with 4 entrances at each side.
The first example shows just two paths crossing in the middle. A small round square is place at the intersection, which could be a square, rombus etc.
A second type of the park is where the regions are cut ellipses centred at the park corners. there is more place to fit something in the centre (a fountain, statue, flower beds etc.).
Bezier curves can alternatively be used to smooth the corners. Any degree can be used, determined by the number of points in the corner region.
Bezier curves also produce interesting results when the points control points are permuted randomly. Perhaps it may give a slight impression that a (human) designer has modelled it.