Speciation by polyploidy
By definition, polyploidy just means that a cell or organism contains more than 2 pairs of homologous chromosomes (or is more than 2n). This is more common in plants than it is in animals. The plant, as shown below, undergoes failed meiosis, which means that the diploid (2n) cells never become haploid (n). As a result, a plant ends up with more than 2n when it self-polinates. The shown result is tetraploidy (4n), but there are other possible results (3n, 5n, etc).

 

Multiple plants within a population can end up with the same polyploidy number. They can then reproduce with each other but not with the original plants or any other plants. As a result, they become biologically isolated from the original group of plants and are considered a different species. It is a type of sympatric speciation, which means that it occurs without geographic isolation.