Then there's all this business of designer dogs. It probably started with the labradoodle (Labrador retriever and poodle), possibly to shove some of the poodle's intelligence and (supposedly) hypoallergenic qualities into the nation's favorite breed.
Now you have all kinds of hybrid, such as the "Dorkie" (dachshund and Yorkshire terrier) or the "Puggle" (pug and beagle). And no kidding, a chihauhau/Pekingese hybrid is called a "Cheeks."
So it occurred to me that if you cross a Shih-Tzu with a Poodle, you'd get a redundancy.
It does exist. It's disappointingly called a Shih-Poo. Close.