Group of isometries of the CC-plane
Missouri Journal of Mathematical Sciences, cilt.18, sa.3, ss.221-233, 2006 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 3
- Basım Tarihi: 2006
- Doi Numarası: 10.35834/2006/1803221
- Dergi Adı: Missouri Journal of Mathematical Sciences
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.221-233
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
In this work, it is shown that the group of isometries of the plane with respect to the Chinese Checkers metric is the semi-direct product of the Dihedral group D8 and T(2), where D8 is the (Euclidean) symmetry group of the regular octagon and T(2) is the group of all translations of the plane. Furthermore, some properties of the CC-plane are studied and the area formula for a triangle is given.