Large graphs are difficult to browse and to visually explore. This note adds up evidence that some graph drawing techniques, which produce readable layouts when applied to medium-size graphs, yield selfsimilar patterns when launched on huge graphs. To prove this, we consider the problem of assessing the self-similarity of graph drawings, and measure the box-counting dimension of the output of three algorithms, each using a different approach for producing orthogonal grid drawings with a reduced number of bends.