Low Profile Bathroom Rugs Suggestions

For a small bathroom, what would you place directly outside of a shower, given the limitation that it must fit underneath a nearby swinging door? It is easy to find attractive bathroom rugs that are very cushioned, but the low profile ones often have a bit of a "white collar prison" look to them.

Requires would be that it does not easily slip on a tiled floor, has dimensions of approximately 90 cm (35 in) L 55 cm (22 in) W, 1.5 cm (1/2 in) H, and looks good (of course).