There are complex patterns of inheritance beyond Mendel's laws: 1. Codominance occurs when both alleles are expressed in heterozygotes. 2. Incomplete dominance results in an intermediate phenotype between homozygotes. 3. Multiple alleles exist for some traits, increasing possible genotypes and phenotypes. 4. Sex-linked traits involve alleles on the X or Y chromosome. Examples include blood types (A, B, AB, O alleles) and Rh factor (Rh+ and Rh- alleles), which have medical implications for blood transfusions and hemolytic disease of the newborn.