Fractal analysis provides an elegant way to describe complex natural geometries such as lava margins (Avnir et al., 1998;Mandelbrot, 1982). It may also hold substantial promise to constrain the rheology, emplacement dynamics, and chemical composition of flows. Bruno et al. (1992) and Gaonac'h et al. (1992) were the first to demonstrate that the geometries of lava flow margins are empirically fractal. That is, the apparent length of these margins, when measured at progressively coarser resolutions, approximately decreases by a power-law over some range of scales. Because fractal geometries naturally arise from nonlinear processes, the fractal analysis of lava margins was expected to provide direct insights into the fluid dynamics of lava flows (e.g.,