It would seem to me that most any perennial flower or bulb, which bloom once a year, would be a lot of work (and waiting while it grows) for the little return of flowers you get. If you want to grow something on a patio that you will be able to cut flowers from more than once (i.e. throughout the season), I would choose annual flowers, like zinnias. When you cut off a flower from an annual, more will be produced.
