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Volumn 41, Issue 2, 2000, Pages 401-409

The densest packing of 12 congruent circles in a circle

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EID: 52849115032     PISSN: 01384821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (44)

References (14)
  • 1
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    • Bateman, P.; Erdos, P.: Geometrical extrema suggested by a lemma of Besicovitch. Amer. Math. Monthly 58 (1951), 306-314.
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  • 2
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    • Ausfüllungen eines Kreises durch kongruente Kreise in der hyperbolischen Ebene
    • Bezdek, K.: Ausfüllungen eines Kreises durch kongruente Kreise in der hyperbolischen Ebene. Studia Sci. Math. Hungar. 17 (1982), 353-356.
    • (1982) Studia Sci. Math. Hungar. , vol.17 , pp. 353-356
    • Bezdek, K.1
  • 3
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    • Sets of points with given maximum separation (Problem E1921)
    • Coxeter, H. S. M.; Greening, M. G.; Graham, R. L.: Sets of points with given maximum separation (Problem E1921). Amer. Math. Monthly 75 (1968), 192-193.
    • (1968) Amer. Math. Monthly , vol.75 , pp. 192-193
    • Coxeter, H.S.M.1    Greening, M.G.2    Graham, R.L.3
  • 4
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    • An improbable game of darts
    • Crilly, T.; Suen, S.: An improbable game of darts. Math. Gazette 71 (1987), 97-100.
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    • Crilly, T.1    Suen, S.2
  • 6
    • 52849088768 scopus 로고    scopus 로고
    • The densest packing of 19 congruent circles in a circle
    • to appear
    • Fodor, F.: The densest packing of 19 congruent circles in a circle. Geom. Dedicata, to appear.
    • Geom. Dedicata
    • Fodor, F.1
  • 7
    • 0007640144 scopus 로고
    • Packing of 14, 16, 17 and 20 circles in a circle
    • Goldberg, M.: Packing of 14, 16, 17 and 20 circles in a circle. Math. Mag. 44 (1971), 134-139.
    • (1971) Math. Mag. , vol.44 , pp. 134-139
    • Goldberg, M.1
  • 8
    • 84957535233 scopus 로고    scopus 로고
    • Dense packings of 3k(h + 1) + 1 equal disks in a circle for k = 1, 2, 3, 4 and 5
    • Proc. First Int. Conf. "Computing and Combinatorics" COCOON'95
    • Graham, R. L.; Lubachevsky, B. D.: Dense packings of 3k(h + 1) + 1 equal disks in a circle for k = 1, 2, 3, 4 and 5. In: Proc. First Int. Conf. "Computing and Combinatorics" COCOON'95, Springer Lecture Notes in Computer Science 959 (1996), 303-312.
    • (1996) Springer Lecture Notes in Computer Science , vol.959 , pp. 303-312
    • Graham, R.L.1    Lubachevsky, B.D.2
  • 9
    • 0031533781 scopus 로고    scopus 로고
    • Curved hexagonal packings of equal disks in a circle
    • Graham, R. L.; Lubachevsky, B. D.: Curved hexagonal packings of equal disks in a circle. Discrete Comp. Geom. 18 (1997), 179-194.
    • (1997) Discrete Comp. Geom. , vol.18 , pp. 179-194
    • Graham, R.L.1    Lubachevsky, B.D.2
  • 10
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    • Packing cylinders into cylindrical containers
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    • (1967) Math. Mag. , vol.40 , pp. 65-71
    • Kravitz, S.1
  • 11
    • 0001937729 scopus 로고
    • Densest packing of eleven congruent circles in a circle
    • Melissen, J. B. M.: Densest packing of eleven congruent circles in a circle. Geom. Dedicata 50 (1994), 15-25.
    • (1994) Geom. Dedicata , vol.50 , pp. 15-25
    • Melissen, J.B.M.1
  • 13
    • 84979328736 scopus 로고
    • Der Mindestabstand von n in der Einheitskreisscheibe gelegenen Punkten
    • Pirl, U.: Der Mindestabstand von n in der Einheitskreisscheibe gelegenen Punkten. Math. Nachr. 40 (1969), 111-124.
    • (1969) Math. Nachr. , vol.40 , pp. 111-124
    • Pirl, U.1
  • 14
    • 0007674172 scopus 로고
    • Dense packing of equal circles within a circle
    • Reis, G. E.: Dense packing of equal circles within a circle. Math. Mag. 48 (1975), 33-37.
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    • Reis, G.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.