  In this work we develop the first theory to model self assembling mixtures of
single patch colloids and colloids with spherically symmetric attractions. In
the development of the theory we restrict the interactions such that there are
short ranged attractions between patchy and spherically symmetric colloids, but
patchy colloids do not attract patchy colloids and spherically symmetric
colloids do not attract spherically symmetric colloids. This results in the
temperature, density and composition dependent reversible self assembly of the
mixture into colloidal star molecules. This type of mixture has been recently
synthesized by grafting of complimentary single stranded DNA [Feng et al.,
Advanced Materials 25 (20), 2779-2783 (2013)] As a quantitative test of the
theory, we perform new monte carlo simulations to study the self assembly of
these mixtures; theory and simulation are found to be in excellent agreement.
