Measurements of perimeters, areas, and volumes of a set of landforms of known common origin but of disparate size often appear inconsistent with the fact of a common origin. For example, an atoll having twice the mean diameter of some similar atoll landforms may not have a perimeter which measures twice as large; usually the perimeters would be greater than a factor of two larger. Similarly, studies which use different measurement resolutions on a single morphologic feature may yield vastly different measured values for the perimeter. Apparent internal inconsistencies such as these have severely impeded numerical taxonomy, description, and modeling of landforms. Fortunately, the underlying internal consistency of measurements often can be reestablished through the introduction of the Hausdorff—Besicovich dimension into the analysis. This will be demonstrated by the example of perimeter—area ratio measurements made on some of the complicated ejecta deposits that surround many martian meteorite-impact craters.