Layout
"Exponential Tree" can also refer to a method of laying out the nodes of a tree structure in n (typically 2) dimensional space. Nodes are placed closer to a baseline than their parent node, by a factor equal to the number of child nodes of that parent node (or by some sort of weighting), and scaled according to how close they are. Thus, no matter how "deep" the tree may be, there is always room for more nodes, and the geometry of a subtree is unrelated to its position in the whole tree. The whole has a fractal structure.
In fact, this method of laying out a tree can be viewed as an application of the upper half-plane model of hyperbolic geometry, with isometries limited to translations only.
Read more about this topic: Exponential Tree