It looks like a wood / marble arabesque inlay. Do you specifically want wood elements? I imagine contraction will make that less durable than all hard surface, finding this pattern isn’t that hard using a google search here’s an example:

https://www.tileclub.com/products/carrara-arabesque-tile-with-wooden-beige-lines?variant=29047576494173

Here's the tile; I'm not familiar with this company though. It says it's marble and dark porcelain. Here are the search results for shopping for wood inlay tile. There are lots of pretty patterns.