**Globalizing two-dimensional unstable manifolds of maps***by Bernd Krauskopf and Hinke Osinga*- This electronic document presents an algorithm for computing the
global two-dimensional unstable manifold of a normally hyperbolic
invariant circle of a three-dimensional map. The algorithm computes
intersections of the unstable manifold with a finite number of leaves
of a chosen linear foliation. This makes is possible to guarantee the
quality of the mesh on this manifold.
**A Tight Polyhedral Immersion of the Real Projective Plane with one Handle***by Davide P. Cervone.*- This multimedia paper describes a newly discovered tight
polyhedral immersion of the non-orientable surface of Euler
characteristic -1. The existence of this surface is surprising, since
it has been proven that no smooth tight immersion of this surface is
possible.
**Interactive Methods for Visualizable Geometry***by Andrew J. Hanson, Tamara Munzner, and George Francis.*- Interactive computer graphics methods provide new insights into
the world of pure geometry. This paper describes some recent attempts
to use computer graphics to understand deep problems in modern mathematics.
**Visualizing the Structure of the World Wide Web in 3D Hyperbolic Space***by Tamara Munzner and Paul Burchard.*- The World-Wide Web has so many interconnections that it is
difficult to visualize even a small part of it using conventional
graphs. This paper introduces a visualization technique that use
hyperbolic space and the WebOOGL software developed at the Geometry
Center for an innovative solution to this problem.
**Some planar isospectral domains***by Peter Buser, John Conway, Peter Doyle, and Klaus-Dieter Semmler.*- This paper answers the question, ``Can you hear the shape of a drum?''
**Homotopy Hyperbolic 3-Manifolds Are Hyperbolic***by David Gabai, G. Robert Meyerhoff, and Nathaniel Thurston.*- 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.

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Created: Jan 26 1995 ---
Last modified: Thu Sep 11 16:34:41 1997