Karyotyping is a method used to visualize an organism's chromosomes in homologous pairs, which aids in identifying genetic abnormalities. The process involves preparing karyotypes from cultured white blood cells during mitosis, where chromosomes are stained, photographed, and arranged. It reveals information such as chromosome number, sex chromosome content, and the presence of structural abnormalities, with specific examples including human male and female karyotypes, polyploidy, and common trisomy conditions.