 paths are there to
    the goal?<br />

2.  Explain briefly why the shortest path from one polygon vertex to any
    other in the scene must consist of straight-line segments joining
    some of the vertices of the polygons. Define a good state space now.
    How large is this state space?<br />

3.  Define the necessary functions to implement the search problem,
    including an function that takes a vertex as input and returns a set
    of vectors, each of which maps the current vertex to one of the
    