The round-headed Oblio has had to wear a pointed hat since birth to conceal his "pointless" condition from his pointy-headed peers. However, Oblio is accepted in the town despite his nonconformity, until one day, when the son of an evil count is unwittingly dishonored by Oblio. The count's son challenges Oblio to a one-on-one game of Triangle Toss, where participants catch triangles on their heads. Oblio wins with the help of his dog Arrow. In a fit of rage, the count, who wants his son to rule the land one day, confronts the good-hearted but timid king to reaffirm the law of the land, which states that those who are pointless must be banished from the kingdom and into the Pointless Forest. A jury reluctantly convicts both Oblio and Arrow, leaving the king with no choice but to send the pair away.