Group of isometries of the CC-plane

KAYA, RÜSTEM; GELİŞGEN, ÖZCAN; EKMEKÇİ, SÜHEYLA; BAYAR, AYŞE

doi:10.35834/2006/1803221

Group of isometries of the CC-plane

Atıf İçin Kopyala

KAYA R., GELİŞGEN Ö., EKMEKÇİ S., BAYAR A.

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.