I've just about given up.. I've gone in and out, turned on and turned off obelisks...a small hint would be appreciated :)
When you enter the room, some yellow banners appear on the wall for a short time. The banners show symbols for which obelisks you need to light. They are something like skull, moon, etc.
The warning when you enter the room tells you that if the banners fade away before you make note of what they are, then you just need to leave the room and "re-enter", and the banners will appear again briefly.
Just remember, they do this "a lot" in Krokotopia. Watch for those yellow banners...