On hyperbolic once-punctured-torus bundles II: Fractal tessellations of the plane

James W. Cannon; Warren Dicks

doi:https://doi.org/10.1007/s10711-006-9070-3

On hyperbolic once-punctured-torus bundles II: Fractal tessellations of the plane

James W. Cannon, Warren Dicks

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

We describe fractal tessellations of the complex plane that arise naturally from Cannon-Thurston maps associated to complete, hyperbolic, once-punctured-torus bundles. We determine the symmetry groups of these tessellations. © Springer Science + Business Media B.V. 2007.

Original language	English
Pages (from-to)	11-63
Journal	Geometriae Dedicata
Volume	123
DOIs	https://doi.org/10.1007/s10711-006-9070-3
Publication status	Published - 1 Dec 2006

Keywords

Cannon-Thurston map
Fractal tessellation
Hyperbolic once-punctured-torus bundle
Planar symmetry group

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https://doi.org/10.1007/s10711-006-9070-3

Cite this

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title = "On hyperbolic once-punctured-torus bundles II: Fractal tessellations of the plane",

abstract = "We describe fractal tessellations of the complex plane that arise naturally from Cannon-Thurston maps associated to complete, hyperbolic, once-punctured-torus bundles. We determine the symmetry groups of these tessellations. {\textcopyright} Springer Science + Business Media B.V. 2007.",

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AU - Dicks, Warren

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N2 - We describe fractal tessellations of the complex plane that arise naturally from Cannon-Thurston maps associated to complete, hyperbolic, once-punctured-torus bundles. We determine the symmetry groups of these tessellations. © Springer Science + Business Media B.V. 2007.

AB - We describe fractal tessellations of the complex plane that arise naturally from Cannon-Thurston maps associated to complete, hyperbolic, once-punctured-torus bundles. We determine the symmetry groups of these tessellations. © Springer Science + Business Media B.V. 2007.

KW - Cannon-Thurston map

KW - Fractal tessellation

KW - Hyperbolic once-punctured-torus bundle

KW - Planar symmetry group

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EP - 63

JO - Geometriae Dedicata

JF - Geometriae Dedicata

SN - 0046-5755

ER -

On hyperbolic once-punctured-torus bundles II: Fractal tessellations of the plane

Abstract

Keywords

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