Travertine tiles and slabs are popular because they come in a wide range of finishes. Therefore, you could opt for tiles that have a:

Glossy finish (or a polished or a shiny finish)
Honed finish (or matte finish)
Brushed finish or,
Textured finish (or tumbled finish)

Of these, the honed or matte finish is the most popular because it is flat and smooth. Good quality travertine will usually not require extensive polishing. Polishing helps the travertine stone become shiny, even as it reduces the number of holes or crevices in it. Brushed and tumbled travertine will be flat and textured, giving it an overall rough look. It will also have a number of holes and crevices in it. In addition, it will have rough and wavy edges and corners. People use tumbled travertine tiles when they do not want much reflection of light in their homes.

Travertine tiles also come in a wide range of colours – from gold to beige. These colours reflect the iron compounds and other impurities assimilated in the tile. This is why you will seldom find this naturally occurring stone in one solid colour.