Why don't any animals have wheels?

Animals have developed loads of different ways to move around, but why never wheels? We humans have mastered the wheel and feel quite technologically advanced, but if wheels are such a no-brainer, why doesn’t any animal use them?

To define the question a bit better, I don’t mean animals that just roll like a tumbleweed that is just shaped like a ball and gets rolled around by the wind. No I mean actual wheels with an axle. And that’s where we get our first problem with finding wheels on animals, because to have a wheel that is separated from the axle takes some skill. How can a living wheel be completely separated from the rest of the animal and still receive nutrients? Alright then maybe make the wheel from dead material like nails or hair? But then how would you get it in the right shape if it would be separated from the body?

Nevertheless for wheels to be useful you would need a flat surface since they are of no use on rough terrain, so you’d need roads. Animals are capable of building quite ingenious structures, think about nests and dams. However these structures are built for personal needs only. Animals put energy and time in building these structures, if they’d build roads other animals would be able to use these as well since there is no way of protecting them. Then other animals would profit from you making the roads and have time left for reproducing while you put your valuable time and effort into making it. Let’s also not forget that you were smart enough to make that road, but because it took so much time you have less time to reproduce and pass those genes on when other just using your road do have the time for reproducing, thus the road-builders will die out. Concluding, building roads is just not selfish enough.

Therefore we must be thankful that humans have learned to work together due to the invention of the wheel. And I mean wheel-y thankful.