You are in fact a Cornish Rex Cat Breed

Cornish Rex Cat
A Cornish Rex is a breed of domestic cat. The Cornish Rex has no hair except for down. Most breeds of cat have three different types of hair in their coats: the outer fur or “guard hairs”, a middle layer called the “awn hair”; and the down hair or undercoat, which is very fine and about 1 cm long. Wikipedia
Scientific nameFelis catus
Did you knowCurly varieties like the Selkirk Rex, Devon Rex, Cornish Rex, and LaPerm often have whiskers that curl as well.