Approach the edge of the platform and hang from the right side. Traverse to the right if necessary.

Release twice to grab the lowest plank below and traverse to the right.

Jump to the right across the chasm to grab the plank on the other structure that supports the platform you are headed to.

Traverse to the right around the corner and jump up to grab the plank above.

Shimmy right around the corner and climb on the next plank above. Finally, climb on the platform.