Affine Fullerene C60 in a GS-Quasigroup

It will be shown that the affine fullerene C60, which is defined as an affine image of buckminsterfullerene C60, can be obtained only by means of the golden section. The concept of the affine fullerene C60 will be constructed in a general GS-quasigroup using the statements about the relationships be...

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Main Authors: Vladimir Volenec, Zdenka Kolar-Begović, Ružica Kolar-Šuper
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/950103
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author Vladimir Volenec
Zdenka Kolar-Begović
Ružica Kolar-Šuper
author_facet Vladimir Volenec
Zdenka Kolar-Begović
Ružica Kolar-Šuper
author_sort Vladimir Volenec
collection DOAJ
description It will be shown that the affine fullerene C60, which is defined as an affine image of buckminsterfullerene C60, can be obtained only by means of the golden section. The concept of the affine fullerene C60 will be constructed in a general GS-quasigroup using the statements about the relationships between affine regular pentagons and affine regular hexagons. The geometrical interpretation of all discovered relations in a general GS-quasigroup will be given in the GS-quasigroup C(1/2(1+5)).
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-03d3ca8fd3ef4d6f85531ba972458cd42025-02-03T05:46:28ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/950103950103Affine Fullerene C60 in a GS-QuasigroupVladimir Volenec0Zdenka Kolar-Begović1Ružica Kolar-Šuper2Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10 000 Zagreb, CroatiaDepartment of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, 31 000 Osijek, CroatiaFaculty of Education, University of Osijek, Cara Hadrijana 10, 31 000 Osijek, CroatiaIt will be shown that the affine fullerene C60, which is defined as an affine image of buckminsterfullerene C60, can be obtained only by means of the golden section. The concept of the affine fullerene C60 will be constructed in a general GS-quasigroup using the statements about the relationships between affine regular pentagons and affine regular hexagons. The geometrical interpretation of all discovered relations in a general GS-quasigroup will be given in the GS-quasigroup C(1/2(1+5)).http://dx.doi.org/10.1155/2014/950103
spellingShingle Vladimir Volenec
Zdenka Kolar-Begović
Ružica Kolar-Šuper
Affine Fullerene C60 in a GS-Quasigroup
Journal of Applied Mathematics
title Affine Fullerene C60 in a GS-Quasigroup
title_full Affine Fullerene C60 in a GS-Quasigroup
title_fullStr Affine Fullerene C60 in a GS-Quasigroup
title_full_unstemmed Affine Fullerene C60 in a GS-Quasigroup
title_short Affine Fullerene C60 in a GS-Quasigroup
title_sort affine fullerene c60 in a gs quasigroup
url http://dx.doi.org/10.1155/2014/950103
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AT zdenkakolarbegovic affinefullerenec60inagsquasigroup
AT ruzicakolarsuper affinefullerenec60inagsquasigroup