18 citations · 27 across the 9 of their papers we have counts for
8 papers · 1 filter
Enumeration of integral tetrahedra
Sascha Kurz
We determine the numbers of integral tetrahedra with diameter up to isomorphism for all via computer enumeration. Therefore we give an algorithm that enumerates the…
On the minimum diameter of plane integral point sets
Sascha Kurz, Alfred Wassermann
Since ancient times mathematicians consider geometrical objects with integral side lengths. We consider plane integral point sets , which are sets of points in the…
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…
Integral point sets over
Axel Kohnert, Sascha Kurz
There are many papers studying properties of point sets in the Euclidean space or on integer grids , with pairwise integral or rational distances. In t…
Bounds for the minimum oriented diameter
Sascha Kurz, Martin Laetsch
We consider the problem of finding an orientation with minimum diameter of a connected bridgeless graph. Fomin et. al. discovered a relation between the minimum oriented diameter a…
Maximal integral point sets over
Andrey Radoslavov Antonov, Sascha Kurz
Geometrical objects with integral side lengths have fascinated mathematicians through the ages. We call a set a maximal integral point set ov…