A Note On The Metrics Induced By Triakis Icosahedron And Disdyakis Triacontahedron

Zeynep Can, Zeynep Çolak, Özcan Geliþgen
Additional contact information
Zeynep Can, Zeynep Çolak, Özcan Geliþgen: Aksaray Üniversitesi, Çanakkale Onsekiz Mart Üniversitesi, Eskiþehir Osmangazi Üniversitesi

Eurasian Life Sciences Journal, 2015, vol. 1, issue 1, 1-11

Abstract: Polyhedrons have been studied by mathematicians and geometers during many years, because of their symmetries. Geometricians who work in the field of polyhedra are aware of the origin of the Archimedean bodies. In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. The duals of the Archimedean solids are called the Catalan solids which are all convex and ýrregular polyhedra. The number of Catalan solids is only thirteen. There are some relations between metrics and polyhedra. For example, it has been shown that deltoidal icositetrahedron is Chinese Checker's unit sphere. In this study, we introduce two new metrics that their spheres are Triakis Icosahedron and Disdyakis Triacontahedron which are catalan solids.

Keywords: Catalan Solids; Triakis Icosahedron; Disdyakis Triacontahedron; Metric; Chinese Checker metric. (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://lifesciences.eurasianacademy.org/dergi/../d ... er-uzerine201505.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eas:lifesc:v:1:y:2015:i:1:p:1-11

Access Statistics for this article

More articles in Eurasian Life Sciences Journal from Eurasian Academy Of Sciences
Bibliographic data for series maintained by Kutluk Kagan Sumer ().