Self-perpetuating amyloid-based protein isoforms (prions) transmit neurodegenerative diseases in mammals and phenotypic traits in yeast. Although mechanisms that control species specificity of prion transmission are poorly understood, studies of closely related orthologues of yeast prion protein Sup35 demonstrate that cross-species prion transmission is modulated by both genetic (specific sequence elements) and epigenetic (prion variants, or 'strains') factors. Depending on the prion variant, the species barrier could be controlled at the level of either heterologous co-aggregation or conversion of the aggregate-associated heterologous protein into a prion polymer. Sequence divergence influences cross-species transmission of different prion variants in opposing ways. The ability of a heterologous prion domain to either faithfully reproduce or irreversibly switch the variant-specific prion patterns depends on both sequence divergence and the prion variant. Sequence variations within different modules of prion domains contribute to transmission barriers in different cross-species combinations. Individual amino acid substitutions within short amyloidogenic stretches drastically alter patterns of cross-species prion conversion, implicating these stretches as major determinants of species specificity.