

http://www.tootsietime.com/
The Chinese call this bamboo, Goddess of Mercy Bamboo. Worhippers do what you do, leave them in a vase, and the bamboo will be a permanent fixture. The worshippers believe that she is a vegetarian, so they offer plants and flowers and fruits as an offering. (I should post a photo taken from my sister in law's house.)
http://annkschin.blogspot.com/2008/12/sanderianaribbon-plant.html
When I was in Singapore, it was very artistic to use just cuttings without leaves and put them in a vase as a decor. In time, the new shoot grow. I experimented with this and the photo is the result. I also grew a lot of then in the gardening club allotment. I plant them for fun.
http://queenmothermamaw.blogspot.com/2009/11/sausage-balls-with-lemon-pepper-jelly.html
I was chatting with queenmothermamaw when I saw she has the same bamboo in Kentucky.