/// <summary>
    /// Utility function for creating a PlaneSurface through a Box.
    /// </summary>
    /// <param name="plane">Plane to extend.</param>
    /// <param name="box">Box to extend through.</param>
    /// <param name="fuzzyness">Box will be inflated by this amount.</param>
    /// <returns>A Plane surface through the box or null.</returns>
    internal static PlaneSurface ExtendThroughBox(Plane plane, BoundingBox box, double fuzzyness)
    {
      if (fuzzyness != 0.0) { box.Inflate(fuzzyness); }

      Point3d[] corners = box.GetCorners();
      int side = 0;
      bool valid = false;

      for (int i = 0; i < corners.Length; i++)
      {
        double d = plane.DistanceTo(corners[i]);
        if (d == 0.0) { continue; }

        if (d < 0.0)
        {
          if (side > 0) { valid = true; break; }
          side = -1;
        }
        else
        {
          if (side < 0) { valid = true; break; }
          side = +1;
        }
      }

      if (!valid) { return null; }

      Interval s, t;
      if (!plane.ExtendThroughBox(box, out s, out t)) { return null; }

      if (s.IsSingleton || t.IsSingleton)
        return null;

      return new PlaneSurface(plane, s, t);
    }