private List <Point> ConstructMidpoints(Point end1, Point end2, int level)
{
List <Point> middlePoints = new List <Point>();
// Recursive Base Case
if (level == NUM_MID_SEGMENT_POINTS)
{
return(middlePoints);
}
Point midpoint = PointFactory.GeneratePoint(end1.Midpoint(end2));
//
// Recursively construct all points between
//
middlePoints.AddRange(ConstructMidpoints(end1, midpoint, level + 1));
middlePoints.Add(midpoint);
// Add to the list of midpoints clauses (for instantiation during figure synthesis).
midpoints.Add(new Midpoint(new InMiddle(midpoint, new Segment(end1, end2))));
middlePoints.AddRange(ConstructMidpoints(midpoint, end2, level + 1));
return(middlePoints);
}
