This challenge is extremely long. The reason for this is that there was a slight error in the drawing of the diagram. 1 line was misplaced. Apologies for the inconvenience. The diagram, when simplified to a graph, should have been rotationally symmetric. As it is, it is just barely not. because of this, the number of shapes is many times greater than it should have been. The solution to the challenge as it is will be posted nevertheless. We can label each section with letters A to L. We can then list the shapes by the sections they contain, like AB, CDG, and so on. All in all, there are 2037 shapes.