I'm not sure which tile this is, but the same photo can be found on the website for the Tile Shop--tileshop.com. Click on Wall tile, then Backsplash, and there it is. I like it too.

At first blush, it looks to be a green soapstone-like material in a 4" or 5" hexagon. I did find the following Danish tile that looks very much like it: https://www.mosaikhjornet.dk/produkt-kategori/fliser-og-klinker/vaegfliser/tisvilde/ This one is from Great Britain: file:///D:/Downloads/NEW_TERRACOTTA_DWT_Ceramic_Design.pdf With a more glossy finish, out of Minneapolis, MN: https://mercurymosaics.com/products/large-hexagon-1036w-bluegrass Another possibility with a sales office in San Francisco: https://www.moorishtiles.com/teal-blue-hexagon-tile.html Good luck - you have good taste!

I agree...looks like knitting to me in a very heavy cord.

Peperomia glabella Looks like yours might have in addition been one of the forms sold as "red stem" or "red stemmed".