private Geometry HandleClosedPaths(IImmutableList<Tuple<Coords, Coords, Direction>> combinedLineSegments, PathSegmentCollection segments)
        {
            var lastLineSegment = combinedLineSegments.Last();
            var firstLineSegment = combinedLineSegments.First();

            if (Equals(firstLineSegment.Item1, lastLineSegment.Item2))
            {
                // Only the 'O' tetra stick has a closed line.
                // The following code relies on the 'O' tetra stick
                // line going Up then Right then Down then Left.
                // Ideally, it should not rely on this but life is
                // too short!

                Debug.Assert(segments.Count%2 == 0);
                var halfLength = segments.Count/2;
                var innerSegments = segments.Skip(halfLength).ToList();
                var outerSegments = segments.Take(halfLength).ToList();

                var cornerSegments = new PathSegmentCollection();
                AddCornerDownThenRight(cornerSegments, lastLineSegment.Item2);

                outerSegments[0] = cornerSegments[0];
                innerSegments.RemoveAt(0);
                innerSegments.Add(cornerSegments[1]);

                var outerGeometry = new PathGeometry
                {
                    Figures = new PathFigureCollection
                    {
                        new PathFigure
                        {
                            StartPoint = CoordsToInsetLowerLeftVertical(lastLineSegment.Item2),
                            Segments = new PathSegmentCollection(outerSegments)
                        }
                    }
                };

                var innerGeometry = new PathGeometry
                {
                    Figures = new PathFigureCollection
                    {
                        new PathFigure
                        {
                            StartPoint = CoordsToInsetLowerRightVertical(lastLineSegment.Item2),
                            Segments = new PathSegmentCollection(innerSegments)
                        }
                    }
                };

                return new CombinedGeometry(GeometryCombineMode.Exclude, outerGeometry, innerGeometry);
            }

            return new PathGeometry
            {
                Figures = new PathFigureCollection
                    {
                        new PathFigure
                        {
                            StartPoint = GetStartingPoint(combinedLineSegments),
                            Segments = segments
                        }
                    }
            };
        }