Connect the Pipes

I recommend beginners to start with the triangle board first, which is the easiest. The next easiest is the square board. Those looking for a challenge can try the other boards.

The game's inspiration is taken from many other similar puzzle games, particularly this one. As there hasn't been any attempts to generalise the game to any regular polygonal board yet, this version implements just that.

For those struggling with the game, here is a basic set of rules or observations:
1. Try to consider every single possible rotation of a polygon. This should be sufficient for most cases.
2. Each pipe ending must correspond to another one.
3. Those of you more familiar with graph theory will recognise that the formal goal of this game is to build a spanning tree between all "nodes", represented here by polygons.