I just remembered another plant I've propagated from small, very flat pieces: Homalocladium platycladon, "tapeworm plant". I guess these are technically stems, and all that's required to get a new plant is a piece with one node (very localized). I propagated these a few years ago; my mom has a big plant nearby.
The little guys with leaves are new plants.

The little guys with leaves are new plants.
Homalocladium platycladum -- Ribbon Plant
www.strangewonderfulthings.com
