How do we burnish travertine and what equipment might be needed.
I don't know what you mean by burnish travertine.
From my limited knowledge about burnishing, it is the process of polishing a VCT floor that has been waxed with a burnishing pad and burnishing chemical.
I've never heard of travertine being burnished. I never recommend applying a wax to travertine or any natural stone.
If you want to polish your travertine tile, you will need to know how to polish with polishing powders and need equipment like floor machines, and wet vacuums.
This is usually left to the professionals as polishing floors takes a lot of practice.
I hope this helps. I would call a local stone professional for help on polishing your travertine floor.