Sphere packing

Estimate for the fractal dimension of the Apollonian gasket in d dimensions

R. Farr, E. Griffiths

Physical Review E 81, 61403 (2010)

Techniques from random sphere packing predict the dimension of the Apollonian gasket, a fractal made up of non-overlapping hyperspheres.

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Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"
Image for the paper "Estimate for the fractal dimension of the Apollonian gasket in d dimensions"