Dear John Bryan and others who have been following this thread: Aren't the concepts stolon and rhizome being conflated in this discussion? Although they have similarities, stolons form above ground and rhizomes form below ground. The structures mentioned so far in Eleocharis, Crocosmia, Crocus and Lilium are rhizomes, not stolons. In fact, now that I think about it, it makes no sense at all that any geophyte should have a stolon: since the bulb or corm or whatever is itself below ground, any peregrinating perenniating buds must form on what at first must be rhizomes. Jim McKenney Montgomery County, Maryland, USA, USDA zone 7, where I've been busy ripping out stolons of Pollia japonica (d*#@ weed) and rhizomes of Convolvulus arvensis (not without reason called devil's guts).