Transformations #1

Mystery

Our task consist on discover what this new tool does. The questions will guide your exploration.

Apply the tool to the point that appears on the screen.

What's going on? If you drag the point, what happens to the second point?

Can you apply this tool to any point on the plane?

Are there points that transform in themselves? (Fixed points)

How many fixed points are there in this transformation? Do they comply with any particular condition?