/// <summary>
        /// This is a high-level function to cuts fixtures inside the given world, using the start and end points.
        /// Note: We don't support cutting when the start or end is inside a shape.
        /// </summary>
        /// <param name="world">The world.</param>
        /// <param name="start">The startpoint.</param>
        /// <param name="end">The endpoint.</param>
        /// <param name="thickness">The thickness of the cut</param>
        public static void Cut(PhysicsWorld world, Vector2 start, Vector2 end, float thickness)
        {
            List<Fixture> fixtures = new List<Fixture>();
            List<Vector2> entryPoints = new List<Vector2>();
            List<Vector2> exitPoints = new List<Vector2>();

            //We don't support cutting when the start or end is inside a shape.
            if (world.TestPoint(start) != null || world.TestPoint(end) != null)
                return;

            //Get the entry points
            world.RayCast((f, p, n, fr) =>
                              {
                                  fixtures.Add(f);
                                  entryPoints.Add(p);
                                  return 1;
                              }, start, end);

            //Reverse the ray to get the exitpoints
            world.RayCast((f, p, n, fr) =>
                              {
                                  exitPoints.Add(p);
                                  return 1;
                              }, end, start);

            //We only have a single point. We need at least 2
            if (entryPoints.Count + exitPoints.Count < 2)
                return;

            for (int i = 0; i < fixtures.Count; i++)
            {
                // can't cut circles yet !
                if (fixtures[i].Shape.ShapeType != ShapeType.Polygon)
                    continue;

                if (fixtures[i].Body.BodyType != BodyType.Static)
                {
                    //Split the shape up into two shapes
                    Vertices first;
                    Vertices second;
                    SplitShape(fixtures[i], entryPoints[i], exitPoints[i], thickness, out first, out second);

                    //Delete the original shape and create two new. Retain the properties of the body.
                    if (SanityCheck(first))
                    {
                        PhysicsBody firstFixture = BodyFactory.CreatePolygon(world, first, fixtures[i].Shape.Density,
                                                                            fixtures[i].Body.Position);
                        firstFixture.Rotation = fixtures[i].Body.Rotation;
                        firstFixture.LinearVelocity = fixtures[i].Body.LinearVelocity;
                        firstFixture.AngularVelocity = fixtures[i].Body.AngularVelocity;
                        firstFixture.BodyType = BodyType.Dynamic;
                    }

                    if (SanityCheck(second))
                    {
                        PhysicsBody secondFixture = BodyFactory.CreatePolygon(world, second, fixtures[i].Shape.Density,
                                                                             fixtures[i].Body.Position);
                        secondFixture.Rotation = fixtures[i].Body.Rotation;
                        secondFixture.LinearVelocity = fixtures[i].Body.LinearVelocity;
                        secondFixture.AngularVelocity = fixtures[i].Body.AngularVelocity;
                        secondFixture.BodyType = BodyType.Dynamic;
                    }
                    world.RemoveBody(fixtures[i].Body);
                }
            }
        }