I wouldn't put anything up. It looks clean and crisp as is. Putting up shelves and fiddly little bits will detract from the clean lines.

BTW, the chairs to the right look uncomfortable and out of scale, perhaps replacing with a more substantial chair or two will both fill that space and provide more comfort. I see electrical wires in that cormer and I really hope you are not planning on putting a tv there...

Put tv across from couch.

I agree with mirrors. IF you don't like the look you can take down and return! ;-) Plus they will make the room look/feel larger.

Can you post photos showing the entire room?

I was going to suggest just lights on the wall to keep the fireplace the focal point. Painting the wall around it a darker shade would also pop it out more.

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I would paint the wall there in one of the darker grays from the marble/tile and keep it simple with nothing or next to nothing.

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Wow! Your room is beautiful, and the fireplace is beautiful.

I agree with the first commenter. You need to be very careful about putting up shelves, or anything that could easily ruin the fireplace as the focal point.

With shelving also goes what to put on the shelves.

The pattern of the fireplace is so fabulous against the walls. You would have to be VERY careful about scale, especially, not mention, subject, color, material (glass, metal, wood?) Scale is so important, and most people, even if they are aware of needing size, buy too small.

Taking one look at your room, it is so outstanding, it really deserves the help of a decorator, and some very special artwork that will not diminish the expensive look of the fireplace, and should be professionally hung.

It may sound expensive, and I'm sure your fireplace was not cheap, but decorating requires a lot of expertise in some cases, and it can be worth it in the long run.

P.S. I'm not a decorator! And it may take a couple of interviews, if you consider using one, to find someone you are comfortable with.

I think floating shelves would be quite lovely.:)