Love this room, although I'm not 100% sure about the pattern breaking on the floor, mostly because it looks like half-tiles AND it's asymmetrical and it's irksome to my brain.
I like it where it's used horizontally between two objects (like between those two pillars) but it looks funky when it's next to the X pattern. Maybe go with a square pattern instead of the <<? Like, instead of >< you use <>