I have always wondered about such a thing myself. My son is an insurance agent, and one of his customers claim to have a half bobcat-half housecat cross, and I've seen the pics. According to them, they had seen a bobcat hanging around their farm, and then saw it "playing" with one of their barn cats. Several months later, kittens were born that resembles the bobcat. The pictures I've seen are of a grey spotted cat with a bobtail and a head that looks like a bobcat. A friend of mine caught a cat in a live trap several years ago, that looked very similar to the other cat, and was the wildest thing he'd ever seen. I googled the question "can a bobcat mate with a domestic cat", and got several hits that say it has happened. Whatever the case is, I cannot imagine that such a critter would make a good pet.