The metal transitions were not my idea.
I think this statement implies that the OP was expecting some criticism. I will say from a layman's perspective- the install looks good. From my perspective and I have done this more times than I am willing to admit; I get off the floor and at some point between laying the last piece and walking out the door I say to myself that I could have done this or that better and kick myself out the door hoping I've learned something.
What I have learned when dealing with repeating patterns is that culling or sorting by pattern in the preparation phase is critical to a superior install. I would look over my job and if i discover the same pattern being so close together it would bug the crap outta me.
I find that pulling tile from different pile patterns helps to deter from getting close repeats that might be objectionable, even if only to me.
Beside that, I might question the balance. I won't be too critical on this point because I don't know the dimensions but I would prefer a larger piece in front of the hearth at least the width of the border. I think the border there over-powers the cut size of the tile.
No disrespect intended.