Considerations of the compactness and aesthetics of electoral districts have loomed large in the litigation surrounding the last round of US redistricting. For a variety of reasons, we expect that there will be increasing pressure on Canadian electoral cartographers to provide opportunities for protected minorities to be represented in the country's federal legislature. As a result, we expect that future electoral maps may well embody a tradeoff between compactness and other representational and cartographic desiderata, We look for evidence of this in an exploratory analysis of the last two federal electoral maps (adopted in 7 987 and 1996) and in so doing we offer the first country-wide assessment of the compactness of Canadian federal electoral districts (FEDs). The results demonstrate the importance of natural boundaries in the achievement of district compactness. Strong evidence of a decline in the compactness of FEDs between the two maps is not forthcoming, however. Thus there is relatively little sign that Canadian electoral districts will be open to the kind of aesthetically-based legal challenges that American Congressional Districts faced in the 1990s. However, the analyses we report establish an important baseline against which the next electoral map, to be produced following the 2001 census, can be compared.