The process of branching, or the development of branches or offshoots from a stem; also, the mode of their arrangement.

A small branch or offshoot proceeding from a main stock or channel; as, the ramifications of an artery, vein, or nerve.

ramus = a branch + facere = to make; branching.

the act of branching out or dividing into branches

a part of a forked or branching shape; "he broke off one of the branches"; "they took the south fork"

an arrangement of branching parts

the development of a twigging structure by a series of divisions of branches into twigs and twiglets

The repeated division of branches into secondary branches.

In mathematics, ramification is a geometric term used for 'branching out', in the way that the square root function, for complex numbers, can be seen to have two branches differing in sign. It is also used from the opposite perspective (branches coming together) as when a covering map degenerates at a point of a space, with some collapsing together of the fibers of the mapping.

Ramification, in botany, is the divergence of the stem and limbs of a plant into smaller ones, i.e. trunk into branches, branches into increasingly smaller branches, etc. Gardeners stimulate the process of ramification through pruning, thereby making trees, shrubs and other plants bushier and more dense.