After painstakingly finding out that yes, the main character can climb through the vertical pipe in the leftmost area of the Sun Temple through a tight sequence of jumps, I've managed to jump my way to the horizontal pipe between the two topmost chambers. Yay.
However, when I jump from the pipe into the room, I can't quite manage to reach the gears for further exploration. I did try taking speed increasing items, but they haven't helped. When I land on the ground, all of the gears are out of reach (again, speed increasing item don't seem to help here.)
How do you get to the gears in the rightmost, topmost chamber of the suntemple and eventually reach the exit marker at the very top?
I'm not asking what the reward is for pulling this off.