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

URN to cite this document: urn:nbn:de:bvb:703-opus-4233

Title data

Kreisel, Tobias ; Kurz, Sascha:
There are integral heptagons, no three points on a line, no four on a circle.
Bayreuth , 2007

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Abstract

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 Paul Erdös.

Abstract in another language

Wir geben zwei Konfigurationen von sieben Punkten in der Ebene, bei der keine drei Punkte auf einer Gerade und keine vier Punkte auf einem Kreis liegen, und bei der die paarweisen Abstände ganzzahlig sind, an. Dies löst ein offenes Problem von Paul Erdös.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	Erscheint in: Discrete & Computational Geometry. Bd. 39 (2008) Heft 4 . - S. 786-790; https://doi.org/10.1007/s00454-007-9038-6 msc: 51K99; msc: 52-04; msc: 52A99; msc: 52C10
Keywords:	Mathematisches Problem; Kombinatorik; Diskrete Geometrie; ganzzahlige Abstände; erschöpfende Suche; Lösung für ein Erdös-Problem; integral distances; exhaustive search; orderly generation; solution to an Erdös problem
DDC Subjects:	500 Science > 510 Mathematics
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics > Chair Mathematical Economics - Univ.-Prof. Dr. Jörg Rambau Faculties Faculties > Faculty of Mathematics, Physics und Computer Science
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-opus-4233
Date Deposited:	25 Apr 2014 11:23
Last Modified:	16 Jun 2021 09:26
URI:	https://epub.uni-bayreuth.de/id/eprint/649

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