http://www.bristol-aquarists.org.uk/goldfish/goldfish.htm
Type Description
1. Long Bodied: fish with the natural, wild-type body length
[indent]a) Single Tailed[/indent]
[indent]b) Double Tailed[/indent]
2. Short Bodied: shortened body length, double tail and double (divided) anal fin
[indent]a) Long Tailed (Veiltailed)[/indent]
[indent]b) Short Tailed (Fantailed)[/indent]
[indent]c) Short Tailed (Fantailed) WITHOUT Dorsal Fin[/indent]
[indent]d) Other Tailed: short-bodied, double-tailed types that do not fit into the above scheme (i.e. that are neither Veiltails nor Fantails)[/indent]
OTHER VARIETIES
There are some 20 varieties of goldfish described above, with variations between the Far Eastern and the Western versions adding to the count. In fact, in China there are considered to be about 300 varieties, encompassing nearly the full range of permutations.
