This document discusses different canopy types and structures for fruit trees, with an emphasis on geometry of planting. It describes several common tree shapes including columnar, pyramidal/conical, vase-shaped, round/oval, spreading/open, and weeping. It then discusses how pruning and training can be used to establish different tree forms to increase yield, enhance fruit quality, and optimize planting density. Several specific fruit tree forms are defined such as bush, standard, pyramidal, spindlebush, cordon, espalier, and fan. Yield and spacing recommendations are provided for different forms of apples, pears, and stone fruits. The document concludes with a discussion of tree shaping strategies for higher density mango orchards