Ki-lin

A mythical being of Chinese mythology, comparable
with the western unicorn.
Ki-lin
personifies all that is good, pure, and peaceful. It lives
in paradise and only visits the world at the birth of a
wise philosopher.
The
unicorn, which can become one thousand year old, is portrayed
as a deer with one horn, the tail of an ox, the hooves of
a horse, and a body covered with the scales of a fish. It
is one of the four Ssu Ling.
from:
http://www.pantheon.org/mythica/articles/u/unicorn.html