This is the opposite of what we find in animals. We find nested groups in which multiple characteristics of each of the nested groups sort on the same grouping. For instance, mammals differ from reptiles in that they have hair, four chambered hearts, diaphragm, high metabolism rate, mammary glands, single bone for the jaw, three middle ear bones etc. All mammals have these characteristics. See
http://www.austincc.edu/sziser/Biol 1413/1413 handouts/reptile vs mammals.pdf . If you divide animals by whether they have hair, or whether they have mammary glands, or whether they have 3 bones in their ears, you end up with basically the same groupings.