The action of the story follows Sybil Gerard, a political courtesan and daughter of an executed Luddite leader; Edward "Leviathan" Mallory, a paleontologist and explorer; and Laurence Oliphant, a historical figure who, as is portrayed in the book, was a travel writer whose work was a cover for espionage activities "undertaken in the service of Her Majesty". Linking all their stories is the trail of a mysterious set of reportedly very powerful computer punch cards and the individuals fighting to obtain them.