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Apollonian tiling, ...
Apollonian tiling, the Lorentz group, and regular trees
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- Söderberg, Bo (författare)
- Lund University,Lunds universitet,Beräkningsbiologi och biologisk fysik - Genomgår omorganisation,Institutionen för astronomi och teoretisk fysik - Genomgår omorganisation,Naturvetenskapliga fakulteten,Computational Biology and Biological Physics - Undergoing reorganization,Department of Astronomy and Theoretical Physics - Undergoing reorganization,Faculty of Science
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(creator_code:org_t)
- 1992
- 1992
- Engelska 8 s.
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Ingår i: Physical Review A (Atomic, Molecular and Optical Physics). - 1050-2947. ; 46:4, s. 1859-1866
- Relaterad länk:
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http://dx.doi.org/10...
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https://lup.lub.lu.s...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- The Apollonian tiling of the plane into circles is analyzed with respect to its group properties. The relevant group, which is noncompact and discrete, is found to be identical to the symmetry group of a particular geometric tree graph in hyperbolic three-space. A linear recursive method to compute the radii is obtained. Certain modifications of the problem are investigated, and relations to other problems, such as the universal scaling of circle maps, are pointed out.
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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