Well we know it is natural travertine (and not porcelain). And we know it is "brown" rather than pink/peach. And we know it is a random size - possibly made up of multiple types of travertine that have been cobbled together to produce a magnificently high-end floor. A top-level tile and stone company would be able to help you find a product that is similar to your photos. I would start with the luxury tile/stone shops that are rather expensive. They will have a very strong understanding of how to achieve this look.

The "exact" product may not be available in your area (depending on where you are vs. where the inspiration photos are from). But you can come really really close with the top retailer in your area.

The armoire looks to be walnut burl and the rest of the dark cabs have been STAINED to match. The armoire is the inspiration piece and the rest is there to mimic it.

And I would guess that a glaze has been added to the cabinets to make them appear antique. The white crackled finish on the island also has a glaze. Again another way to give an instant sense of age.

Without knowing the manufacturer of the kitchen it would be very difficult to tell the species of wood from some downloaded photos.