Bunyip Bluegum the koala sets out on his travels taking only a walking stick. At about lunchtime, feeling more than slightly peckish, he meets Bill Barnacle the sailor and Sam Sawnoff the penguin who are eating a pudding. The pudding is a magic one which, no matter how much you eat it, always reforms into a whole pudding again. He is called Albert, has thin arms and legs and is a bad-tempered, ill-mannered so-and-so into the bargain. His only pleasure is being eaten. The book is divided into four "slices" instead of chapters.