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 | |
Publication status | Published - 1 Dec 2006 |
Keywords
- Cannon-Thurston map
- Fractal tessellation
- Hyperbolic once-punctured-torus bundle
- Planar symmetry group