THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING
- BORKOVEC, M. Institute of Terrestrical Ecology, Federal Institute of Technology ETH, Grabenstrasse 3, 8952 Schlieren, Switzerland
- DE PARIS, W. Institute of Terrestrical Ecology, Federal Institute of Technology ETH, Grabenstrasse 3, 8952 Schlieren, Switzerland
- PEIKERT, R. Interdisciplinary Project Center for Supercomputing, Federal Institute of Technology ETH, Clausiusstrasse 59, 8092 Zürich, Switzerland
- 2011-11-20
Published in:
- Fractals. - World Scientific Pub Co Pte Lt. - 1994, vol. 02, no. 04, p. 521-526
English
The fractal dimension of the Apollonian sphere packing has been computed numerically up to six trusty decimal digits. Based on the 31 944 875 541 924 spheres of radius greater than 2−19 contained in the Apollonian packing of the unit sphere, we obtained an estimate of 2.4739465, where the last digit is questionable. Two fundamentally different algorithms have been employed. Outlines of both algorithms are given.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1142/s0218348x94000739
- ISSN 0218-348X
- Persistent URL
- https://folia.unifr.ch/global/documents/113901
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