Now, rather than using arbitrary terms like 'lamia' or 'drider', we should just generalize the category of centaurs to n-taurs. Thus, 0-taurs, 8-taurs, and so on. This generalization allows us to further expand the definition to encompass more than just whole numbers, such that we can, from careful analysis, derive the properties of 1/2-taurs, 3/7-taurs, i-taurs, and even τ-taurs.