The runner is a long thin stem that usually grows horizontally along the ground and produces roots and shoots at widely spaced nodes, as in Oxalis, Cynodon (lawn grass), etc.
Offsets are similar to runners. They are also horizontal stems on the ground and give rise to roots and vertical branches at the nodes. These are one internode long runners. The given diagram represents Eichhornia which is an example of an offset. Bulbil is a condensed axillary bud. It acts as a reproductive structure and helps in vegetative reproduction.
Bulbil is seen in Agave.
Rhizomes may be horizontal, oblique or upright stems that grow underground. The stem is differentiated into nodes and internodes. For example, Ginger.
