In a system and method for making a capped structure having a variegated cap layer a layer of cap materials is applied to a substrate and pin stripes are applied onto the cap layer through an extrusion die. After these materials exit the extrusion die they are passed through a single opening in a die plate to create a capped structure having a variegated appearance. This capped structure has a smooth surface that enables an embosser to create a consistent embossing pattern on the entire surface.