Mutually contiguous translates of a plane disk
A. Bezdek, K. Kuperberg, and W. Kuperberg
Source: Duke Math. J. Volume 78, Number 1
(1995), 19-31.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077285547
Mathematical Reviews number (MathSciNet): MR1328750
Zentralblatt MATH identifier: 0829.52008
Digital Object Identifier: doi:10.1215/S0012-7094-95-07802-8
References
[CS] J. H. Conway and N. J. A. Sloane, Sphere packings, lattices and groups, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 290, Springer-Verlag, New York, 1988.
Mathematical Reviews (MathSciNet): MR89a:11067
Zentralblatt MATH: 0634.52002
[FT] G. Fejes Tóth, New results in the theory of packing and covering, Convexity and its applications eds. P. M. Gruber and J. M. Wills, Birkhäuser, Basel, 1983, pp. 318–359.
Mathematical Reviews (MathSciNet): MR85i:52007
Zentralblatt MATH: 0533.52007
[Gm] H. Groemer, Abschätzungen für die Anzahl der konvexen Körper, die einen konvexen Körper berühren, Monatsh. Math. 65 (1961), 74–81.
Mathematical Reviews (MathSciNet): MR23:A2129
Zentralblatt MATH: 0096.16701
Digital Object Identifier: doi:10.1007/BF01322659
[Gb] B. Grünbaum, On a conjecture of H. Hadwiger, Pacific J. Math. 11 (1961), 215–219.
Mathematical Reviews (MathSciNet): MR25:1492
Zentralblatt MATH: 0131.20003
Project Euclid: euclid.pjm/1103037546
[GS] B. Grünbaum and G. C. Shephard, Tilings and patterns, W. H. Freeman and Company, New York, 1987.
Mathematical Reviews (MathSciNet): MR88k:52018
Zentralblatt MATH: 0601.05001
[H] H. Hadwiger, Über Treffanzahlen bei translationsgleichen Eikörpern, Arch. Math. 8 (1957), 212–213.
Mathematical Reviews (MathSciNet): MR19,977e
Zentralblatt MATH: 0080.15501
[HLS] C. Halberg, E. Levin, and E. Straus, On contiguous congruent sets in Euclidean space, Proc. Amer. Math. Soc. 10 (1959), 335–344.
Mathematical Reviews (MathSciNet): MR21:5170
Zentralblatt MATH: 0098.35801
Digital Object Identifier: doi:10.2307/2032843
JSTOR: links.jstor.org
[KK] K. Kuperberg and W. Kuperberg, Translates of a starlike plane region with a common point, Intuitive geometry (Szeged, 1991) eds. K. Böröczky and G. Fejes, Colloq. Math. Soc. János Bolyai, vol. 63, North-Holland, Amsterdam, 1994, pp. 205–216.
Mathematical Reviews (MathSciNet): MR97c:52012
Zentralblatt MATH: 0823.52005
[Mi] H. Minkowski, Dichteste gitterförmige Lagerung kongruenter Körper, Nachr. Ges. Wiss. Göttingen (1904), 311–355.
Zentralblatt MATH: 35.0508.02
[Mu] J. R. Munkres, Elements of algebraic topology, Addison-Wesley Publishing Company, Menlo Park, CA, 1984.
Mathematical Reviews (MathSciNet): MR85m:55001
Zentralblatt MATH: 0673.55001
[R] C. A. Rogers, Packing and covering, Cambridge Tracts in Mathematics and Mathematical Physics, No. 54, Cambridge University Press, New York, 1964.
Mathematical Reviews (MathSciNet): MR30:2405
Zentralblatt MATH: 0176.51401
[V] H. Voderberg, Zur Zerlegung der Umgebung eines ebenen Bereiches in kongruente, Jahresber. Deutsch. Math.-Verein 46 (1936), 229–231.
Zentralblatt MATH: 0015.31502
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