This book is something of a compendium of examples, processes, construction techniques and models of finite translation planes. A translation plane is an affine plane that admits a group of translations acting transitively on its points. The guiding principle of the authors is to present an atlas of translation planes. The tremendous variety of translation planes makes any attempt at classification rather difficult. So the authors provide a combination of descriptions and methods of construction to give an explanation of various classes of planes. Since interest in certain translation planes arises primarily from their place within certain classification results, the authors also provide comprehensive sketches of the major classification theorems together with outlines of their proofs. The bulk of the book is a comprehensive treatment of known examples of the planes in more than 800 pages and 105 chapters, culminating with the atlas of planes and construction processes.