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Original scientific paper

On the Metrics Induced by Icosidodecahedron and Rhombic Triacontahedron

Zeynep Can ; Faculty of Arts and Sciences, Aksaray University, Aksaray,Turkey
Özcan Gelişgen   ORCID icon orcid.org/0000-0001-7071-6758 ; Faculty of Arts and Sciences, Eskişehir Osmangazi University, Eskişehir, Turkey
Rüstem Kaya ; Faculty of Arts and Sciences, Eskişehir Osmangazi University, Eskişehir, Turkey

Fulltext: english, pdf (372 KB) pages 17-23 downloads: 147* cite
APA 6th Edition
Can, Z., Gelişgen, Ö. & Kaya, R. (2015). On the Metrics Induced by Icosidodecahedron and Rhombic Triacontahedron. KoG, 19. (19.), 17-23. Retrieved from https://hrcak.srce.hr/151329
MLA 8th Edition
Can, Zeynep, et al. "On the Metrics Induced by Icosidodecahedron and Rhombic Triacontahedron." KoG, vol. 19., no. 19., 2015, pp. 17-23. https://hrcak.srce.hr/151329. Accessed 17 Feb. 2020.
Chicago 17th Edition
Can, Zeynep, Özcan Gelişgen and Rüstem Kaya. "On the Metrics Induced by Icosidodecahedron and Rhombic Triacontahedron." KoG 19., no. 19. (2015): 17-23. https://hrcak.srce.hr/151329
Harvard
Can, Z., Gelişgen, Ö., and Kaya, R. (2015). 'On the Metrics Induced by Icosidodecahedron and Rhombic Triacontahedron', KoG, 19.(19.), pp. 17-23. Available at: https://hrcak.srce.hr/151329 (Accessed 17 February 2020)
Vancouver
Can Z, Gelişgen Ö, Kaya R. On the Metrics Induced by Icosidodecahedron and Rhombic Triacontahedron. KoG [Internet]. 2015 [cited 2020 February 17];19.(19.):17-23. Available from: https://hrcak.srce.hr/151329
IEEE
Z. Can, Ö. Gelişgen and R. Kaya, "On the Metrics Induced by Icosidodecahedron and Rhombic Triacontahedron", KoG, vol.19., no. 19., pp. 17-23, 2015. [Online]. Available: https://hrcak.srce.hr/151329. [Accessed: 17 February 2020]

Abstracts
The theory of convex sets is a vibrant and classical field of modern mathematics with rich applications. If every points of a line segment that connects any two points of the set are in the set, then it is convex. The more geometric aspects of convex sets are developed introducing some notions, but primarily polyhedra. A polyhedra, when it is convex, is an extremely important special solid in R^n. Some examples of convex subsets of Euclidean 3-dimensional space are Platonic Solids, Archimedean Solids and Archimedean Duals or Catalan Solids. In this study, we give two new metrics to be their spheres an archimedean solid icosidodecahedron and its archimedean dual rhombic triacontahedron.

Keywords
Archimedean solids; Catalan solids; metric; Chinese Checkers metric; Icosidodecahedron; Rhombic triacontahedron

Hrčak ID: 151329

URI
https://hrcak.srce.hr/151329

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