Generalized constant ratio surfaces and quaternions
KUWAIT JOURNAL OF SCIENCE, cilt.44, sa.1, ss.42-47, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 1
- Basım Tarihi: 2017
- Dergi Adı: KUWAIT JOURNAL OF SCIENCE
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.42-47
- Anahtar Kelimeler: Generalized constant ratio surfaces, kinematic, rotation matrices, real quaternions, unit quaternions, ANGLE SURFACES, X R, E-3
- Ankara Üniversitesi Adresli: Evet
Özet
In this study, we show that the generalized constant ratio surfaces can be obtained by the quaternion product of a unit quaternion and a pure quaternion. Also, the quaternion product of the unit quaternion and the position vector of the generalized constant ratio surface as a pure quaternion is a generalized constant ratio surface. Then we give some results about the generalized constant ratio surfaces by using the quaternions.