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Apollonian gasket

Known as: Apollonian packing, Gasket (disambiguation) 
In mathematics, an Apollonian gasket or Apollonian net is a fractal generated from triples of circles, where each circle is tangent to the other two… 
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Related topics

Related topics

7 relations
Apollonian networkApollonian sphere packingFractalHausdorff dimension

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2013
Highly Cited
2013
On the Hausdorff dimension of the Rauzy gasket
In this paper, we prove that the Hausdorff dimension of the Rauzy gasket is less than 2. By this result, we answer a question… 
Highly Cited
2012
Highly Cited
2012
On the local-global conjecture for integral Apollonian gaskets
We prove that a set of density one satisfies the local-global conjecture for integral Apollonian gaskets. That is, for a fixed… 
Highly Cited
2008
Highly Cited
2008
Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
We obtain an asymptotic formula for the number of circles of curvature at most T in any given bounded Apollonian circle packing… 
Highly Cited
2008
Highly Cited
2008
Behaviour of deep immersed tunnel under combined normal fault rupture deformation and subsequent seismic shaking
Immersed tunnels are particularly sensitive to tensile and compressive deformations such as those imposed by a normal seismogenic… 
2007
2007
Controlling Infiltration Pressure of a Nanoporous Silica Gel via Surface Treatment
Energy absorption behaviors of a surface-treated nanoporous silica gel are investigated through a pressure-induced infiltration… 
Highly Cited
2003
Highly Cited
2003
Shortest paths in the Tower of Hanoi graph and finite automata
We present efficient algorithms for constructing a shortest path between two configurations in the Tower of Hanoi graph and for… 
Highly Cited
2003
Highly Cited
2003
Harnack inequality for stable processes on d-sets
We investigate properties of functions which are harmonic with respect to -stable processes on d-sets such as the Sierpi«ski… 
Highly Cited
2001
Highly Cited
2001
Beyond the Descartes Circle Theorem
The Descartes circle theorem states that if four circles are mutually tangent in the plane, with disjoint interiors, then their… 
2000
2000
Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions
AbstractThis paper gives $n$-dimensional analogues of the Apollonian circle packings in Parts I and II. Those papers considered… 
Highly Cited
1994
Highly Cited
1994
THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING
The fractal dimension of the Apollonian sphere packing has been computed numerically up to six trusty decimal digits. Based on… 
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