Subdivision Rules, 3-Manifolds, and Circle Packings

We study the relationship between subdivision rules, 3-dimensional manifolds, and circle packings. We find explicit subdivision rules for closed right-angled hyperbolic manifolds, a large family of hyperbolic manifolds with boundary, and all 3-manifolds of the E^3,H^2 x R, S^2 x R, SL_2(R), and S^3...

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Bibliographic Details
Main Author: Rushton, Brian Craig
Format: Others
Published: BYU ScholarsArchive 2012
Subjects:
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BYU
Online Access:https://scholarsarchive.byu.edu/etd/2985
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3984&context=etd