If we have two things then we use "the other"
-Give me the other glove.

But if we have more than 2, would it be OK to use "other one" if we need to point out that this thing of a different kind

There are 10 flowers of three kinds.

- I have taken a rose already will you give me other one?

As I understand if we use "another one" here then it means another rose, but we need a flower different from the rose. It means that "another" isn't correct in this case. Would "other one" work?