Despite the wild variation between different types of goldfish, all goldfish belong to the same species, Carassius auratus auratus. Years of selective breeding have produced a wide variety of strains of goldfish and 4" MINI SPLIT RING PLIERS - MZFPM06; though all remain genetically compatible.Both the veiltail and the fantail goldfish have a number of traits in common. Both are considered "fancy" goldfish. This means that both strains are the result of selective breeding and they're different from the original, wild-type goldfish.the gold fish and veiltail have difference in there shape fin size and fin shape.