![](/images/graphics-bg.png)
Geometric Realization of Some Triangle-Free Combinatorial Configurations 223
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The main purpose of this paper is to illustrate the mutual benefit to combinatorics and geometry by considering a topic from both sides.
Al-Azemi and Betten enumerate the distinct combinatorial (223) configurations that are triangle free.
They find a very large number of such configurations, but when taking into account the automorphism group of each, they find two cases in which there is only a single configuration.
On the heuristic assumption that an object that is unique in some sense may well have other interesting properties, the geometric counterparts of these configurations were studied.
Several unexpected results and problems were encountered.
One is that the combinatorially unique (223) configuration with automorphisms group of order 22 has three distinct geometric realizations by astral configurations.
American Psychological Association (APA)
Grünbaum, Branko. 2012. Geometric Realization of Some Triangle-Free Combinatorial Configurations 223. ISRN Geometry،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-480805
Modern Language Association (MLA)
Grünbaum, Branko. Geometric Realization of Some Triangle-Free Combinatorial Configurations 223. ISRN Geometry No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-480805
American Medical Association (AMA)
Grünbaum, Branko. Geometric Realization of Some Triangle-Free Combinatorial Configurations 223. ISRN Geometry. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-480805
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480805