Krank is a foul, monstrous creature who lords over the inhabitants of a small island; Krank's emotional being is every bit as ugly as his physical personage, largely because he does not have the ability to dream. However, he has developed a machine that can drain the dreams of others from their heads, and he devotes himself to kidnapping children from a nearby harbor town so that he can steal their pleasant dreams. Denree is one of the children who has been spirited off to the island; Krank discovers that he's an even bigger problem than he imagined when his big brother One, a harpoon-wielding mountain of a man, sets out on a rescue mission. Once he arrives on Krank's island, One encounters a brain in a fish tank that has learned to talk, a group of clones who can't decide who is the original, a pair of Siamese twins, an octopus that guides a group of orphaned thieves, and a girl named Miette who says she can guide One to Denree.