(botany, anatomy, also figurative) A branching-out, the act or result of developing branches; specifically the divergence of the stem and limbs of a plant into smaller ones, or of similar developments in blood vessels, anatomical structures etc.
(figurative, often in the plural) An offshoot of a decision, fact etc.; a consequence or implication, especially one which complicates a situation.
(mathematics) An arrangement of branches.