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Posts Tagged ‘circle inversion fractal’
Apollonian gaskets and circle inversion fractals
January 30, 2011
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Recall the definition of an iterated function system (IFS), and how on occasion, their attractors are fractal sets. What happens when we allow more general functions instead of mere affine maps?
The key to the design of this amazing fractal is in the notion of limit sets of circle inversions.
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In the news:
Math updates on arXiv.org
- Toeplitz algebra and Symbol map via Berezin transform on $H^2(\mathbb{D}^n)$
- Some notes on an identity of Frisch
- Mahonian Statistics and Vincular Patterns on Permutations over Multisets
- Reflections and maximal quotients in Coxeter groups
- Linear canonical space-time transform and convolution theorems
- Optimization with Temporal and Logical Specifications via Generalized Mean-based Smooth Robustness Measures
- Generalized Fractional Risk Process
- Homological Lemmas in a Non-pointed Context
- Two Combinatorial Interpretations of Rascal Numbers
- A convergence result for Mean Curvature Flow of totally real submanifolds
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Francisco Blanco-Silva 