Groups Acting on Hyperbolic Space formatIsbn:Softcover 9783642083020 The papers included range from 9783642434266 The papers included range from theoretical issues to concrete applications with a certain emphasis on verification tools and the algorithms and techniques needed for their implementations The papers to be found herein include important new results in x ray crystallography by Nobel Laureate Herbert Hauptman This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3 manifold of constant curva ture 1 Bolyai and Gauß had observed that they do not satisfy the axiom of parallels