Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces

Gelişgen, Özcan; Yavuz, Serhat

Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces

Özcan GELİŞGEN, (Eskişehir Osmangazi Üniversitesi, Fen ve Sanat Fakültesi, Matematik Bilgisayar Bölümü, Eskişehir, Türkiye)

Serhat YAVUZ (Eskişehir Osmangazi Üniversitesi, Fen ve Sanat Fakültesi, Matematik Bilgisayar Bölümü, Eskişehir, Türkiye)

Mathematical Sciences and Applications E-Notes

2 0

Yıl: 2019 Cilt: 7 Sayı: 2 Sayfa Aralığı: 174 - 182 Metin Dili: İngilizce İndeks Tarihi: 23-03-2021

Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces

Öz:

Polyhedra have interesting symmetries. Therefore they have attracted the attention of scientists andartists from past to present. Thus polyhedra are discussed in a lot of scientific and artistic works. There areonly five regular convex polyhedra known as the platonic solids. There are many relationships betweenmetrics and polyhedra. Some of them are given in previous studies. In this study, we introduce two newmetrics, and show that the spheres of the 3-dimensional analytical space furnished by these metrics arechamfered cube and chamfered octahedron. Also we give some properties about these metrics. We showthat the group of isometries of the 3-dimesional space covered by CC−metric and CO−metric are thesemi-direct product of Oh and T(3), where octahedral group Oh is the (Euclidean) symmetry group of theoctahedron and T(3) is the group of all translations of the 3-dimensional space.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Gelişgen Ö, Yavuz S (2019). Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. , 174 - 182.
Chicago	Gelişgen Özcan,Yavuz Serhat Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. (2019): 174 - 182.
MLA	Gelişgen Özcan,Yavuz Serhat Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. , 2019, ss.174 - 182.
AMA	Gelişgen Ö,Yavuz S Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. . 2019; 174 - 182.
Vancouver	Gelişgen Ö,Yavuz S Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. . 2019; 174 - 182.
IEEE	Gelişgen Ö,Yavuz S "Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces." , ss.174 - 182, 2019.
ISNAD	Gelişgen, Özcan - Yavuz, Serhat. "Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces". (2019), 174-182.

APA	Gelişgen Ö, Yavuz S (2019). Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. Mathematical Sciences and Applications E-Notes, 7(2), 174 - 182.
Chicago	Gelişgen Özcan,Yavuz Serhat Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. Mathematical Sciences and Applications E-Notes 7, no.2 (2019): 174 - 182.
MLA	Gelişgen Özcan,Yavuz Serhat Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. Mathematical Sciences and Applications E-Notes, vol.7, no.2, 2019, ss.174 - 182.
AMA	Gelişgen Ö,Yavuz S Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. Mathematical Sciences and Applications E-Notes. 2019; 7(2): 174 - 182.
Vancouver	Gelişgen Ö,Yavuz S Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces. Mathematical Sciences and Applications E-Notes. 2019; 7(2): 174 - 182.
IEEE	Gelişgen Ö,Yavuz S "Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces." Mathematical Sciences and Applications E-Notes, 7, ss.174 - 182, 2019.
ISNAD	Gelişgen, Özcan - Yavuz, Serhat. "Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces". Mathematical Sciences and Applications E-Notes 7/2 (2019), 174-182.