Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces

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Mathematical Sciences and Applications E-Notes
Volume:7 Issue:2
Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces

Isometry Groups of Chamfered Cube and Chamfered Octahedron Spaces

Authors : Özcan Gelişgen, Serhat YAVUZ

Pages : 174-182

Doi:10.36753/mathenot.542272

View : 49 | Download : 6

Publication Date : 2019-10-15

Article Type : Research Paper

Abstract :Polyhedra have interesting symmetries. Therefore they have attracted the attention of scientists and artists from past to present. Thus polyhedra are discussed in a lot of scientific and artistic works. There are only five regular convex polyhedra known as the platonic solids. There are many relationships between metrics and polyhedra. Some of them are given in previous studies. In this study, we introduce two new metrics, and show that the spheres of the 3-dimensional analytical space furnished by these metrics are chamfered cube and chamfered octahedron. Also we give some properties about these metrics. We show that the group of isometries of the 3-dimesional space covered by CC
Keywords : Polyhedron, Metric, Isometry Group, Octahedral Symmetry, Chamfered Cube, Chamfered Octahedron

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