University of Bayreuth

output

19922026

most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2008 · math.COShow all

5 papers · 2 filters

math.CO2008★ 5 cited

Enumeration of integral tetrahedra

Sascha Kurz

We determine the numbers of integral tetrahedra with diameter $d$ up to isomorphism for all $d \leq 1000$ via computer enumeration. Therefore we give an algorithm that enumerates the…

math.CO2008

There are integral heptagons, no three points on a line, no four on a circle

Tobias Kreisel, Sascha Kurz

We give two configurations of seven points in the plane, no three points in a line, no four points on a circle with pairwise integral distances. This answers a famous question of P…

math.CO2008★ 15 cited

Integral point sets over finite fields

Sascha Kurz

We consider point sets in the affine plane $F_{q}^{2}$ where each Euclidean distance of two points is an element of $F_{q}$ . These sets are called integral point sets a…

math.CO2008★ 9 cited

Bounds for the minimum diameter of integral point sets

Sascha Kurz, Reinhard Laue

Geometrical objects with integral sides have attracted mathematicians for ages. For example, the problem to prove or to disprove the existence of a perfect box, that is, a rectangu…

math.CO2008★ 12 cited

Maximal integral point sets in affine planes over finite fields

Michael Kiermaier, Sascha Kurz

Motivated by integral point sets in the Euclidean plane, we consider integral point sets in affine planes over finite fields. An integral point set is a set of points in the affine…