The genus Brassica includes species with two levels of polyploidy: diploids that have replicated genomes and appear to be ancient polyploids, and allopolyploids that were recently derived from hybridization of the diploid species. Research on these species has provided evidence that polyploidy contributes to phenotypic variation through several mechanisms. Polyploidy increases the potential variation of dosage‐regulated gene expression, and this mechanism appears to affect flowering time variation through the effects of replicated copies of the flowering time gene FLC. Homoeologous chromosome transpositions occur in allopolyploids that alter allele composition, and this has created novel flowering time variation in newly formed Brassica allopolyploids. New allopolyploids also may have epigenetic changes or altered regulatory interactions that affect gene expression and phenotypic variation. Continued research on Brassica and other species should provide insight into the relative importance of these mechanisms for generating novel variation in polyploids.