An icon is a sign that stands for an object by resembling it, not merely visually, but by any means. Included in this category of sign are obvious examples like pictures, maps and diagrams and some not so obvious ones like algebraic expressions and metaphors. The essential aspect of the relation of an icon to its object is one of similarity, broadly defined.
Indexes refer to their objects, not by virtue of any similarity relation, but rather via an actual causal link between the sign and its object: smoke is an index of fire, a weather vane is an index of wind direction, a mark on a fever thermometer is an index of body