A triploid nucleus cannot undergo meiosis because:
Many polyploids are infertile, depending on the number of chromosome sets they have inherited. If the individual has inherited an odd number of chromosome sets (3n, 5n, etc), they are usually infertile. This is because the chromosomes cannot pair up correctly during meiosis and thus no functional gametes are produced. If the individual has an even number of chromosome sets, they are usually fertile. This is because the chromosomes can still pair up during meiosis and produce functional gametes.