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Volumn 35, Issue 1, 2006, Pages 1-36

Apollonian circle packings: Geometry and group theory II. Super-apollonian group and integral packings

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EID: 30744443490     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-005-1195-x     Document Type: Article
Times cited : (37)

References (14)
  • 1
    • 0000860195 scopus 로고    scopus 로고
    • Geometric sequences of discs in the Apollonian packing
    • D. Aharonov and K. Stephenson, Geometric sequences of discs in the Apollonian packing, Algebra i Analiz 9(3) (1997), 104-140.
    • (1997) Algebra i Analiz , vol.9 , Issue.3 , pp. 104-140
    • Aharonov, D.1    Stephenson, K.2
  • 2
    • 30644467044 scopus 로고    scopus 로고
    • (English version: St. Petersburg Math. J. 9 (1998), 509-545.
    • (1998) St. Petersburg Math. J. , vol.9 , pp. 509-545
  • 4
    • 0037691992 scopus 로고    scopus 로고
    • Apollonian circle packings: Number theory
    • [eprint: arXiv math.NT/0009113]
    • R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks and C. Yan, Apollonian circle packings: number theory, J. Number Theory, 100(1) (2003), 1-45. [eprint: arXiv math.NT/0009113]
    • (2003) J. Number Theory , vol.100 , Issue.1 , pp. 1-45
    • Graham, R.L.1    Lagarias, J.C.2    Mallows, C.L.3    Wilks, A.4    Yan, C.5
  • 5
    • 30644467650 scopus 로고    scopus 로고
    • Apollonian circle packings: Geometry and group theory. I. The Apollonian group
    • DOI: 10.1007/s00454-005-1196-9. Eprint: arXiv math.MG/0010298
    • R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks and C. Yan, Apollonian circle packings: geometry and group theory. I. The Apollonian group, Discrete Comput. Geom. DOI: 10.1007/s00454-005-1196-9. Eprint: arXiv math.MG/0010298]
    • Discrete Comput. Geom
    • Graham, R.L.1    Lagarias, J.C.2    Mallows, C.L.3    Wilks, A.4    Yan, C.5
  • 6
    • 30744450495 scopus 로고    scopus 로고
    • Apollonian circle packings: Geometry and group theory. III. Higher dimensions
    • DOT: 10.1007/s00454-005-1197-8. Eprint: arXiv math.MG/0010324
    • R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks and C. Yan, Apollonian circle packings: geometry and group theory. III. Higher dimensions, Discrete Comput. Geom. DOT: 10.1007/s00454-005-1197-8. Eprint: arXiv math.MG/0010324.
    • Discrete Comput. Geom.
    • Graham, R.L.1    Lagarias, J.C.2    Mallows, C.L.3    Wilks, A.4    Yan, C.5
  • 7
    • 0036011581 scopus 로고    scopus 로고
    • Beyond the Descartes circle theorem
    • [eprint: arXiv math.MG/ 0101066]
    • J. C. Lagarias, C. L. Mallows and A. Wilks, Beyond the Descartes circle theorem, Amer. Math. Monthly 109 (2002), 338-361. [eprint: arXiv math.MG/ 0101066]
    • (2002) Amer. Math. Monthly , vol.109 , pp. 338-361
    • Lagarias, J.C.1    Mallows, C.L.2    Wilks, A.3
  • 9
    • 0010756933 scopus 로고
    • Sphere packings and hyperbolic reflection groups
    • G. Maxwell, Sphere packings and hyperbolic reflection groups, J. Algebra 79 (1982), 78-97.
    • (1982) J. Algebra , vol.79 , pp. 78-97
    • Maxwell, G.1
  • 12
    • 0010050835 scopus 로고
    • Apollonian tiling, the Lorentz group, and regular trees
    • B. Söderberg, Apollonian tiling, the Lorentz group, and regular trees, Phys. Rev. A 46(4) (1992), 1859-1866.
    • (1992) Phys. Rev. A , vol.46 , Issue.4 , pp. 1859-1866
    • Söderberg, B.1
  • 14
    • 0001138279 scopus 로고
    • Inversive geometry
    • (C. Davis, B. Grünbaum and F. A. Sherk, eds.), Springer-Verlag, New York
    • J. B. Wilker, Inversive Geometry, in The Geometric Vein (C. Davis, B. Grünbaum and F. A. Sherk, eds.), Springer-Verlag, New York, 1981, pp. 379-442.
    • (1981) The Geometric Vein , pp. 379-442
    • Wilker, J.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.