The Arctic Curl is a new breed and is still quite rare, emerging only 10 years ago (2008). As such, the breed is under experimental stages. It is a unique cross between the Selkirk Rex and the Turkish Angora.
Penny Odell, the original British breeder organised an outcross in hopes of producing white cats having blue eyes. Indeed the Arctic cats have very similar features and personality as its parent, the Turkish Angora.
Though this breed is in its early stages, it is possible that it will eventually be a recognised breed. Then, a breed standard will have to be introduced. This whole process of establishing a new breed takes time and requires the hard work of multiple breeders.