Trees are models of various structures in computing and it is not surprising that considerable efforts have been made toward effective drawing algorithrns for them. This paper discasses drawing algorithms for "free trees", that is, trees with no special root. The aim of these algorithms is to provide a drawing which satisfies several aesthetic criteria, such as avoiding edge crossings, minimizing variance in edge length, and keeping vertices a reasonable distance apart. In this paper we measure the cffectiveness of the algorithrns presented by proving or disproving that they achieve such eriteri a,