$[Department of Mathematics]$

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Available Publications

Note that papers which have appeared in well distributed journals are only listed by their title and abstract.

V. Arhelger, U. Betke and K. Böröczky, Jr.:
- Large finite lattice packings, to appear in Geometriae Dedicata.
U. Betke and K. Böröczky, Jr.:
- Asymptotic formulae for the lattice point enumerator , Canadian Journal of Mathematics, 51 (1999), 225-249.
- Finite lattice packings and the Wulff-shape , to appear in Mathematika.
U. Betke, M. Henk and J.M. Wills:
- Finite and infinite packings , Journal für reine und angewandte Mathematik, Walter de Gruyter, Berlin-New York 1994.
- Sausages are good packings , Discrete and Computational Geometry, 13 (1995), 297-311.
- A new approach to covering , Mathematika, 42 (1995), 251-263.
K. Böröczky, Jr. and U. Schnell:
- Asymptotic shape of finite packings , Canadian Journal of Mathematics, 50 (1998), 16-28.
- Quasicrystals and the Wulff-Shape , Discrete and Computational Geometry, 21 (1999), 421-436.
- Wulff-Shape for non-periodic arrangements , Letters in Mathematical Physics, 45 (1998), 81-94.
K. Böröczky, Jr., U. Schnell and J.M. Wills:

Quasicrystals, parametric density and Wulff-shape , Directions in Mathematical Quasicrystals, eds. M. Baake and R.V. Moody, CRM Monograph Series, AMS Providence (RI) 2000, 255-272.
M. Meyer and U. Schnell

On finite lattice coverings , Journal of Geometry 72 (2001), 132-150.
U. Schnell:

Periodic sphere packings and the Wulff-Shape , Beiträge zur Algebra und Geometrie, 40 (1999), 125-140.
FCC versus HCP via Parametric Density , Discrete Mathematics, 211 (2000), 269-274.
Wulff-Shape and Density Deviation , Geometriae Dedicata, 79 (2000), 51-63.
Dense sphere packings and the Wulff-shape of crystals and quasicrystals , Material Science and Engeneering, 294-296 (2000), 221-223.
On Relative Geometric Inequalities , with A. Cerdán and S. Segura Gomis, submitted.
U. Schnell and A. Schürmann:

A Criterion for Finite Lattice Coverings , Periodica Mathematica Hungarica, 45(1-2) (2002), 131-134.
U. Schnell and J.M. Wills:

Densest Packings of more than three d-spheres are nonplanar , Discrete and Computational Geometry, 24 (2000), 539-549.
P. Scholl, A. Schürmann and J.M. Wills:

Polyhedral models of Felix Klein's quartic , The Mathematical Intelligencer, 24 (2002).

A discrete isoperimetric inequality and its application to sphere packings , to appear in Discrete and Computational Geometry.
A. Schürmann:

Plane Finite Packings , Dissertation, Shaker-Verlag, Aachen, 2000.

On Parametric Density of Finite Circle Packings, Beiträge zur Algebra und Geometrie, 41 (2000), 329-334.

Dense Ellipsoid Packings , Discrete Mathematics, 247 (2002), 243-249.

The Spherical Conjecture in Minkowski Geometry , to appear in Archiv der Mathematik.

On Extremal Finite Packings , Discrete and Computational Geometry, 28 (2002), 389-403.

On an Isodiametric Problem with Lattice-Point Constraints , with M. A. Hernández Cifre, submitted.
J.M. Wills:

Finite sphere packings and sphere coverings , Rendiconti del Seminario Mathematico di Messina Serie II, Supplemento al n.2 (1993).
Lattice packings of spheres and the Wulff-Shape , Mathematika, 43 (1996), 229-236.
On large lattice packings of spheres , Geometriae Dedicata 65: 117-126, 1997.
Parametric density, online-packings and crystal growth , Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II - Numero 50 - 1997.
The Wulff-shape of large periodic packings , to appear in Proc. DIMACS workshop Discrete Math. Chem..
Spheres and Sausages, Crystals and Catastrophes - and a Joint Packing Theory , Mathematical Intelligencer, 20 (1998), 16-21.