On the plane?

[the fundamental group]

[other surfaces]


In the figure we have represented two planar paths.

At the vertical bar we can select one of the following actions:

  • Move points: To modify the paths drag the marked points.
  • Close paths: Each path on the grid is completed by adding one shortest segment from the initial to the final points of the path.
  • See deformation: We can bserve a continuous deformation from one path to the other. To control this animation drag the point on the bar of the right.