  We study the eikonal equation on the Sierpinski gasket in the spirit of the
construction of the Laplacian in Kigami [8]: we consider graph eikonal
equations on the prefractals and we show that the solutions of these problems
converge to a function defined on the fractal set. We characterize this limit
function as the unique metric viscosity solution to the eikonal equation on the
Sierpinski gasket according to the definition introduced in [3].
