# Finite subdivision rule

## Papers overview

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2012

2012

- 2012

Cannon, Swenson and others have proved numerous theorems about subdivision rules associated to hyperbolic groups with a 2â€“sphereâ€¦Â (More)

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2012

2012

- 2012

The hexahedral mesh (hex mesh) is preferred to the tetrahedral mesh (tet mesh) in finite element methods for numerical simulationâ€¦Â (More)

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2009

2009

- 2009

This paper is concerned with realizing LattÃ¨s maps as subdivision maps of finite subdivision rules. The main result is that theâ€¦Â (More)

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2007

2007

- 2007

This paper deepens the connections between critically finite rational maps and finite subdivision rules. The main theorem is thatâ€¦Â (More)

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2006

2006

- 2006

This paper gives applications of earlier work of the authors on the use of expansion complexes for studying conformality ofâ€¦Â (More)

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2006

2006

- 2006

This paper develops the basic theory of conformal structures on finite subdivision rules. The work depends heavily on the use ofâ€¦Â (More)

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2006

2006

- Symposium on Geometry Processing
- 2006

In this paper we describe an approach to the construction of curvature-continuous surfaces with arbitrary control meshes usingâ€¦Â (More)

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2001

2001

- 2001

We introduce and study finite subdivision rules. A finite subdivision rule R consists of a finite 2-dimensional CW complex SR, aâ€¦Â (More)

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2001

2001

- 2001

Suppose R is a finite subdivision rule with an edge pairing. Then the subdivision map ÏƒR is either a homeomorphism, a covering ofâ€¦Â (More)

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Highly Cited

2001

Highly Cited

2001

- 2001

According to the classical uniformization theorem, every smooth Riemannian surface Z homeomorphic to the 2-sphere is conformallyâ€¦Â (More)

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