Finite subdivision rule

Known as: Finite subdivision rules, Cannon's conjecture, Combinatorial Riemann mapping theorem 
In mathematics, a finite subdivision rule is a recursive way of dividing a polygon or other two-dimensional shape into smaller and smaller pieces… (More)
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Papers overview

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2012
2012
Cannon, Swenson and others have proved numerous theorems about subdivision rules associated to hyperbolic groups with a 2–sphere… (More)
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2012
2012
The hexahedral mesh (hex mesh) is preferred to the tetrahedral mesh (tet mesh) in finite element methods for numerical simulation… (More)
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2009
2009
This paper is concerned with realizing Lattès maps as subdivision maps of finite subdivision rules. The main result is that the… (More)
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2007
2007
This paper deepens the connections between critically finite rational maps and finite subdivision rules. The main theorem is that… (More)
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2006
2006
This paper gives applications of earlier work of the authors on the use of expansion complexes for studying conformality of… (More)
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2006
2006
This paper develops the basic theory of conformal structures on finite subdivision rules. The work depends heavily on the use of… (More)
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2006
2006
In this paper we describe an approach to the construction of curvature-continuous surfaces with arbitrary control meshes using… (More)
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2001
2001
We introduce and study finite subdivision rules. A finite subdivision rule R consists of a finite 2-dimensional CW complex SR, a… (More)
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2001
2001
Suppose R is a finite subdivision rule with an edge pairing. Then the subdivision map σR is either a homeomorphism, a covering of… (More)
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Highly Cited
2001
Highly Cited
2001
According to the classical uniformization theorem, every smooth Riemannian surface Z homeomorphic to the 2-sphere is conformally… (More)
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