Symmetry and enumeration of self-similar fractals

DOI10.1112/blms/bdl031zbMath1148.28006OpenAlexW2099808781MaRDI QIDQ5297611

J. J. O'Connor, Kenneth J. Falconer

Publication date: 12 July 2007

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdl031

zbMATH Keywords

symmetryattractorsself-similarityfractalsiterated function systems

Mathematics Subject Classification ID

Fractals (28A80)

Related Items

Elementary fractal geometry. New relatives of the Sierpiński gasket ⋮ The group of isometries of a self-similar set ⋮ WEAK SELF-SIMILAR SETS IN SEPARABLE COMPLETE METRIC SPACES ⋮ Space-filling curves and geodesic laminations. II: Symmetries ⋮ Separation properties of finite products of hyperbolic iterated function systems ⋮ On boundaries of attractors in dynamical systems ⋮ On different forms of self similarity ⋮ On the structures of generating iterated function systems of Cantor sets ⋮ On the group of isometries of planar IFS fractals* ⋮ On properties of similarity boundary of attractors in product dynamical systems

Cites Work

• The Hausdorff dimension of general Sierpiński carpets
• Classification of Self-Affine Lattice Tilings
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