In botany and dendrology, a rhizome is a modified subterranean plant stem that sends out roots and shoots from its nodes. Rhizomes are also called creeping rootstalks or just rootstalks. Rhizomes develop from axillary buds and grow horizontally. The rhizome also retains the ability to allow new shoots to grow upwards.
An antique spurge plant, Euphorbia antiquorum, sending out white rhizomes
Stolons growing from nodes from a corm of Crocosmia
Turmeric rhizome, whole and ground into a spice
A stem is one of two main structural axes of a vascular plant, the other being the root. It supports leaves, flowers and fruits, transports water and dissolved substances between the roots and the shoots in the xylem and phloem, photosynthesis takes place here, stores nutrients, and produces new living tissue. The stem can also be called halm or haulm or culms.
Stem showing internode and nodes plus leaf petioles
This above-ground stem of Polygonum has lost its leaves, but is producing adventitious roots from the nodes.
Climbing stem of Senecio angulatus.
Decumbent stem in Cucurbita maxima.