Algebraic & Geometric Topology Volume 12, issue 4 (2012)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Constructing subdivision rules from polyhedra with identifications

Brian Rushton

Algebraic & Geometric Topology 12 (2012) 1961–1992

DOI: 10.2140/agt.2012.12.1961

Bibliography

1	E M Andreev, Convex polyhedra in Lobačevskiĭspaces (English transl.), Math USSR Sbornik 10 (1970) 413 MR0259734
2	J W Cannon, The combinatorial structure of cocompact discrete hyperbolic groups, Geom. Dedicata 16 (1984) 123 MR758901
3	J W Cannon, W J Floyd, W R Parry, Finite subdivision rules, Conform. Geom. Dyn. 5 (2001) MR1875951
4	J W Cannon, E L Swenson, Recognizing constant curvature discrete groups in dimension 3, Trans. Amer. Math. Soc. 350 (1998) 809 MR1458317
5	W J Floyd, tilepack.c, tilepackhistory.c, subdivide.c and subdividehistory.c, Software
6	P Haïssinsky, Empilements de cercles et modules combinatoires, Ann. Inst. Fourier (Grenoble) 59 (2009) 2175 MR2640918
7	C D Hodgson, I Rivin, W Smith, A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere, Bull. Amer. Math. Soc. 27 (1992) 246 MR1149872
8	G Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds arXiv:math.DG/0307245
9	B Rushton, Alternating Links and Subdivision Rules, dissertation, Brigham Young University (2009)
10	B Rushton, Creating subdivision rules from alternating links, Conform. Geom. Dyn. 14 (2010) 1
11	K Stephenson, Circlepack, Software