Generate random shape polygon

Question

It's possible to generate polygon with random shape, filled and with outline? Something like this:

Link to image: https://image.ibb.co/kWAWk5/solid1.png

I mean what algorithm can be used? What programming language it uses doesn't matter.

Answer 1

Given a number of vertices v where v > 2,

1. Draw a straight edge e_x between vertices v₀ and v₁, and add it to a list of edges e.
2. For each of the remaining vertices v₂ through v_n-1,
   1. Randomly select one of the edges (e_y) from e.
   2. Randomly pick another point p that's not along e_y.
   3. Replace e_y with 2 new edges: 1 from e's starting point to p, and 1 from e's ending point to p.
3. For the final vertex v_n-1, add an edge from it to v₀.
4. Fill the path.