W. Kuperberg's Publications in Geometry


W. Holsztynski and W. Kuperberg, On a property of tetrahedra, Wiadomosci
Matematyczne 6(1962), 13-16 (in Polish), reviewed in Zentralblatt fur Mathematik 126, 369,
English translation in Alabama Journal of Mathematics 1(1977), 40-42.

W. Kuperberg, Packing convex bodies in the plane with density greater than 3/4,
Geometriae Dedicata 13(1982), 149-155.

W. Kuperberg, On minimum area quadrilaterals and triangles circumscribed about
convex plane regions,
Elemente der Mathematik 38(1983), 57-61.

W. Kuperberg, On packing the plane with congruent copies of a convex body,
in Intuitive geometry, Coll. Math. Soc. Janos Bolyai 48, North-Holland,
Amsterdam-Oxford-New York 1987, 317-329.

W. Kuperberg, An inequality linking packing and covering densities of plane convex bodies,
Geometriae Dedicata 23(1987) 59-66.

W. Kuperberg, Covering the plane with congruent copies of a convex body, Bulletin
of the London Mathematical Society 21(1989), 82-86.

G. Kuperberg and W. Kuperberg, Double-lattice packings of convex bodies in the plane,
Discrete & Computational Geometry 5(1990), 389-397.

A. Bezdek and W. Kuperberg, Maximum density space packing with congruent circular
cylinders of infinite length,
Mathematika 37(1990), 74-80.

A. Bezdek and W. Kuperberg, Examples of space-tiling polyhedra related to Hilbert's Problem 18,
question 2,
Topics in Combinatorics and Graph Theory, Essays in Honour of Gerhard Ringel,
Physica-Verlag 1990, 87-92.

A. Bezdek, W. Kuperberg and E. Makai, Maximum density space packing with parallel
strings of spheres,
Discrete & Computational Geometry
6
(1991), 277-283.

A. Bezdek and W. Kuperberg, Placing and moving spheres in the gaps of a cylinder packing,
Elemente der Mathematik 46(1991) 47-51.

A. Bezdek and W. Kuperberg, Packing Euclidean space with congruent cylinders and with
congruent ellipsoids,
Applied Geometry and Discrete Mathematics, Honorary volume
on the occasion of Victor Klee's 65th birthday, DIMACS 4(1991), 71-80.

G. Fejes Toth and W. Kuperberg, A survey of recent results in the theory of packing
and covering,
Chapter 10 in New trends in discrete and computational geometry,
J. Pach, Ed., Springer 1993, 251-279.

G. Fejes Toth and W. Kuperberg, Packing and covering with convex sets, Chapter 3.3,
vol. B, in Handbook of Convex Geometry, P. Gruber and J. Wills, Eds., North-Holland 1993, 799-860.

G. Fejes Toth and W. Kuperberg, Blichfeldt's density bound revisited, Mathematische
Annalen 295(1993), 721-727.

K. Kuperberg and W. Kuperberg, Translates of a starlike plane region with a common point,
in: Intuitive Geometry, Colloquia Mathematica Societatis Janos Bolyai 63, North-Holland,
Amsterdam-Oxford-New York 1994, 205-216.

W. Kuperberg, On-line covering a cube with a sequence of cubes, Discrete & Computational
Geometry 12(1994), 83-90.

A. Bezdek, K. Kuperberg and W. Kuperberg, Mutually Contiguous and Concurrent Translates of a Plane Disk,
Duke Mathematical Journal 78(1995), 19-31.

G. Fejes Toth and W. Kuperberg, Thin non-lattice covering with an affine image of a strictly convex body,
Mathematika 42(1995), 239-250.

W. Kuperberg, Knotted lattice-like space fillers, Discrete & Computational Geometry 13(1995)
(special volume in honor of Laszlo Fejes Toth), 561-567.

G. Fejes Toth, G. Kuperberg, and W. Kuperberg, Highly saturated packings and reduced coverings,
Monatshefte fur Mathematik 125(1998), 127-145.

W. Kuperberg, Packing and covering problems in two and three dimensions, Alabama Journal
of Mathematics 20(1996).

W. Kuperberg, Tiling the solid torus, the 3-cube and the 3-sphere with congruent knotted tori,
in: Intuitive geometry, Coll. Math. Soc. J\'anos Bolyai, Studies 6(1997), 399-406.

A. Bezdek and W. Kuperberg, Circle covering with a margin, Periodica Mathematica Hungarica 34 (1997), 3-16.

K. Kuperberg, W. Kuperberg, J. Matousek, and P. Valtr, Almost-tiling the plane by ellipses, Discrete and
Computational Geometry 22(1999), no. 3, 367-375.

W. Kuperberg, Holey coronas - a solution of the Grunbaum-Shephard conjecture, American Mathematical
Monthly 107(no. 6)(2000), 551-555.

G. Fejes Toth and W. Kuperberg, Sphere Packing, Encyclopedia of Physical Science and Technology,
Academic Press (2001).