Drawing some planar graphs with integer edge-lengths

In this paper, we study drawings of planar graphs such that all edge lengths are integers. It was known that such drawings exist for all planar graphs with maximum degree 3. We give a different proof of this result, which is based on a simple transformation of hexagonal drawings as created by Kant. Moreover, if the graph is 3-connected then the vertices have integer coordinates that are in O(n). We then study some other classes of planar graphs, and show that planar bipartite, seriesparallel graphs, and some other graphs also have planar drawings with integer edge lengths.