References
D. W. Boyd, Lower bounds for the disc packing constant,Math. Comp. 24 (1970), 697–704.MR 43 # 3924
—, Osculatory packings by spheres,Canad. Math. Bull. 13 (1970), 59–64.MR 41 # 4387
—, On the exponent of an osculatory packing,Canad. J. Math. 23 (1971), 355–363,MR 42 # 6723
—, The disc-packing constant,Aequationes Math. 7 (1972), 182–193.MR 46 # 2557
—, Improved bounds for the disc-packing constant,Aequationes Math. 9 (1973), 99–106.MR 47 # 5728
—, The osculatory packing of a three dimenstional sphere,Canad. J. Math. 25 (1973), 303–322.MR 47 # 9430
—, An algorithm for generating the sphere coordinates in a three-dimensional osculatory packing,Math. Comp. 27 (1973), 369–377.MR 49 # 3700
—, A new class of infinite sphere packings,Pacific J. Math. 50 (1974). 383–398.MR 50 # 3118
—, The residual set dimension of the Apollonian packing,Mathematika 20 (1973), 170–174.Zbl. 286, 52010
H. G. Eggleston, On closest packing by equilateral triangles,Proc. Cambridge Philos. Soc. 49 (1953), 26–30.MR 14-679
P. Erdős andD. J. Newman, Exhausting an area with discs,Proc. Amer. Math. Soc. 45 (1974), 305–308.MR 50 # 8307
L. Fejes Tóth andJ. Molnár, Unterdeckung und Überdeckung der Ebene durch Kreise,Math. Nachr. 18 (1958), 235–243.MR 20 # 2669
A. Florian, Ausfüllung der Ebene durch Kreise,Rend. Circ. Mat. Palermo (2)9 (1960), 300–312.MR 27 # 5171
D. M. E. Foster, On the exponent of the Apollonian packing of circles,J. London Math. Soc. (2)3 (1971), 281–287.MR 43 # 2612
E. N. Gilbert, Randomly packed and solidly packed spheres,Canad. J. Math. 16 (1964), 286–298.MR 28 # 5382
K. E. Hirst, The Apollonian packing of circles,J. London Math. Soc. 42 (1967), 281–291.MR 35 # 876
K. Knopp,Theory and application of infinite series, Blackie, Glasgow, 1928.
D. G. Larman, On the Besicovitch dimension of the residual set of arbitrarily packed discs in the plane,J. London Math. Soc. 42 (1967), 292–302.MR 35 # 877
—, A note on the Besicovitch dimension of the closest packing of spheres inR n ,Proc. Cambridge Philos. Soc. 62 (1966), 193–195.MR 32 # 6321
—, On the exponent of convergence of a packing of spheres,Mathematika 13 (1966), 57–59.MR 34 # 1928
—, An asymptotic bound for the residual area of a packing of discs,Proc. Cambridge Philos. Soc. 62 (1966), 699–704.MR 33 # 7940
—, On packings of unequal spheres inR n ,Canad. J. Math. 20 (1968), 967–969.MR 38 # 612
Z. A. Melzak, Infinite packings of discs,Canad. J. Math. 18 (1966), 838–852.MR 34 # 3443
—, On the solid-packing constant for circles,Math. Comp. 23 (1969), 169–172.MR 39 # 6179
O. Wesler, An infinite packing theorem for spheres,Proc. Amer. Math. Soc. 11 (1960), 324–326.MR 22 # 2936
J. B. Wilker, Open disc packings of a disc,Canad. Math. Bull. 10 (1967), 395–415.MR 35 # 6041
—,Almost Perfect Packings, Thesis, University of Toronto, Toronto, 1968.
—, The interval of disk packing exponents,Proc. Amer. Math Soc. 41 (1973), 255–260.MR 50 # 3120
—, Four proofs of a generalization of the Descartes circle theorem,Amer. Math. Monthly 76 (1969), 278–282.MR 39 # 7511
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wilker, J.B. Sizing up a solid packing. Period Math Hung 8, 117–134 (1977). https://doi.org/10.1007/BF02018498
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02018498