This room was painful. Sorry I can't see exactly what I did since the room isn't conquered and doesn't save demos automatically, but in general:
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×I pushed the mirror into the line of the first set of two aumtlichs then crossed. Once I was across, I pulled the mirror up with my sword and put it in the line of the next 2 aumtlichs. In the meantime, I gave the slayer the run around by manouvering between the diagonal aumtlichs lines and pushing him away with my sword. I repeated this process until I hit the end, restoring and hopping through diagonal gazes many, many times in the process.
This room was a lot of trial and error and a real pain. Good luck.