Offsets
Many houseplants produce plantlets or offsets from which new plants can be grown. Some send out runners or stolons from which new plants develop and root in the ground. Others develop roots where the stem touches the ground. Other plants develop plantlets (known as offsets) around and attached to the parent plant.
Trailing Offsets: produce small versions of themselves at the end of long arching stems (spider plants).
Detachable Offsets: Some plants have offsets that grow on the plant itself on the leaf surface or leaf edge or tip. (k. daigremontiana (DAY-gruh-mon-tee-ANN-ah) or Maternity Plant.