Is there a name for black white brown cats?

There isn't a specific breed name for black, white, and brown cats. This color combination is simply a tri-color pattern, often referred to as:

* Tricolor: This is the most common and general term for a cat with three colors.

* Calico: This term is specifically used for a tri-color cat with a white base and patches of black and orange or cream.

* Tortoiseshell: Similar to calico, this term describes a cat with black and orange/cream patches, but without a white base.

However, many breeds can have tri-color cats, including:

* American Shorthair

* Persian

* Siamese

* Ragdoll

So, while there's no specific name for the color combination itself, you can describe your cat as a tri-color, calico, or tortoiseshell, or specify the breed if you know it.