Very basically, a haploid individual has one copy of every gene in its species genome, one set of chromosomes. You and I are diploid, we have two copies of every human gene (some of those copies are not identical, that is, we may have different alleles of those genes). Usually, sperm and eggs are haploid (unless you're an unusual species or something unusual is going on with your sperm or egg production). If you're triploid, you have three copies of every gene in your species genome. You'll have three sets of chromosomes and if you know much about meiosis, you'll be able to imagine the problems you'll face if you want to produce sperm or eggs! This is often the reason that parthenogens are hybrids (or looking at it from the other side, the reason that hybrids are sometimes parthenogens). Polyploidy is very common among parthenogens, tetraploidy apparently occurs from time to time in parthenogenetic Bynoe's Geckoes, through backcrossing to sexuals, with subsequent dropping of a set of chromosomes and a return to triploidy.