If you're having trouble completing the puzzle, it's a good idea to shoot the cubes that all the security lasers are coming from so that jumping from platform to platform is less dangerous.
Watch the video above to see an example of how to successfully complete the puzzle (I didn't receive loot in the clip because I already did it beforehand you can only get the chest's loot once per week). Once you successfully emote on all the plates in the correct order, the chest will spawn in front of you and will reward you with a piece of Europa gear (find out how else you can get Europa gear here). Repeat this process at the next platform.
This will illuminate one of the three triangles, indicating the direction of the next cross-platform to which you need to travel. To solve the puzzle, you'll need to emote (yes, emote) on the plate of the cross-platform that you spawned on. On each of the four cross platforms, there will be a circular plate surrounded by three triangles. It consists of four cross-shaped platforms that surround a large middle platform covered in Vex security lasers. The puzzle area hangs over the rest of Cadmus Ridge. There, you'll find a Vex energy interface (see above). To get started, head to the right of the location where Perdition Lost Sector in Cadmus Ridge is (don't miss our guide on where to find Europa's Lost Sectors) and look for a small crevice where a Vex pillar meets the ice. The final thing standing between you and your reward is a special puzzle in the Cadmus Ridge area.