  In this paper, we study the area requirements of planar straight-line
orthogonal drawings of ternary trees. We prove that every ternary tree admits
such a drawing in sub-quadratic area. Further, we present upper bounds, the
outcomes of an experimental evaluation, and a conjecture on the area
requirements of planar straight-line orthogonal drawings of complete ternary
trees. Finally, we present a polynomial lower bound on the length of the
minimum side of any planar straight-line orthogonal drawing of a complete
ternary tree.
