Exploration tool

First: Make a guess
Try to guess how these four shapes interact. What will happen if you move blue points (they are stuck to rectangle edges)? Does rectangle shape mater?[br][br]Guessing is essential ingredient in scientific thought and it is very important that you don't skip this part.
Second: Make the construction
Try to make construction without the help. If you run into difficulties come back and take a look at the video below.
Third: Other ideas
Try to explore all the figures that are displayed above and see if you can come up with your own hypotheses. Can you prove them?[br][br]You will need to make your own construction, the one below is just to show general idea.

Information: Exploration tool