Since we are still discussing this, I did some research. Non slip vinyl and rubber seem to be a much better alternative. Not to mention, much more sanitary.
http://www.ageinplace.org/Blog/Post/3583/Best-and-Worst-Bathroom-Flooring-for-Aging-in-Place-Safety
There are also anti slip tapes that you can apply to tile floors.
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Better. framed mirror.
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