100 citations
- Taras Shevchenko National University of KyivUA7 papers
- Bogolyubov Institute for Theoretical PhysicsUA5 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE3 papers
- Technion – Israel Institute of TechnologyIL3 papers
- Universität GreifswaldDE3 papers
- CY Cergy Paris UniversitéFR2 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ2 papers
- Heinrich Heine University DüsseldorfDE2 papers
- Institute of MagnetismUA2 papers
- Institut National des Sciences Appliquées Rouen NormandieFR2 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
5 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…
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 finite fields
Sascha Kurz
We consider point sets in the affine plane where each Euclidean distance of two points is an element of . These sets are called integral point sets a…
Convex hulls of polyominoes
Sascha Kurz
In this article we prove a conjecture of Bezdek, Brass, and Harborth concerning the maximum volume of the convex hull of any facet-to-facet connected system of n unit hypercubes in…
A bijection between the d-dimensional simplices with distances in {1,2} and the partitions of d+1
Christian Haase, Sascha Kurz
We give a construction for the d-dimensional simplices with all distances in {1,2} from the set of partitions of d+1.