Unicorns are exceedingly rare, of course, which makes a unicorn baby an even more elusive sight. Babies are born without horns, but their horns begin growing after a year and continue growing for as long as the gentle unicorn lives. Characteristics: This baby unicorn’s horn is just longer than its ears, and its mane and tail feature colorful ribbons. The small creature is gracious and regal, befitting its ancestors.