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Showing 1 to 2 of 2 for “"face-pairings"”.
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Cycle-Free Twisted Face-Pairing 3-Manifolds
… topology, quotients of polygons by edge-pairings provide a rich source of examples of closed, connected, orientable surfaces. In fact, they provide all such examples. The 3-dimensional analogue of an edge-pairing of a polygon is a face-pairing of a faceted 3-ball. Unfortunately, quotients …
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Constructing Bitwisted Face Pairing 3-Manifolds
… and Parry, gives us a new method for finding face pairing descriptions of 3-manifolds. In this paper, I will describe the construction in a way suitable for a more general audience than the original research papers. Along the way, I will describe Dehn Surgery and a set of moves which allows us …