Nathaniel J. Thurston

Learn More
Section 0: Introduction This paper introduces a rigorous computer-assisted procedure for analyzing hyperbolic 3-manifolds. This technique is used to complete the proof of several long-standing rigidity conjectures in 3-manifold theory as well as to provide a new lower bound for the volume of a closed orientable hyperbolic 3-manifold. Theorem 0.1: Let N be a(More)
We have compared analgesic requirements, perceived pain, and self-assessment of 'health locus of control' for 72 h in 88 subjects after cholecystectomy, randomized to either a standard technique of self-administration of meperidine (patient-controlled analgesia, PCA) or to intramuscular injections on demand (i.m.). Multivariate analysis revealed no(More)
1. Introductio n The availability of high speed graphics engine s has opened new frontiers in mathematical visualiza-tion. Many interesting algorithms with geometric output can be programmed in only a few hundred lines of code (or less) but designing and programming a custom user interface is a daunting task. To conduc t effective research into(More)
  • 1