Generalized constant ratio surfaces and quaternions

Aslan S., YAYLI Y.

KUWAIT JOURNAL OF SCIENCE, cilt.44, sa.1, ss.42-47, 2017 (SCI-Expanded) identifier identifier

  • 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.