  A virtual doodle is an equivalence class of virtual diagrams under an
equivalence relation generated by flat version of classical Reidemesiter moves
and virtual Reidemsiter moves such that Reidemeister moves of type 3 are
forbidden. In this paper we discuss colorings of virtual diagrams using an
algebra, called a doodle switch, and define an invariant of virtual doodles.
Besides usual colorings of diagrams, we also introduce doubled colorings.
