A Study on the Geometry of Dual Quaternions

Erişir T., Mumcu G., Kızıltuğ S., Yaylı Y.

11thINTERNATIONALEURASIANCONFERENCE ONMATHEMATICALSCIENCESAND APPLICATIONS, İstanbul, Türkiye, 29 Ağustos - 01 Eylül 2021, ss.184

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.184
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

This study presents the propositions regarding dual sphere geometry when the motion is represented by unit dual quaternions. These propositions are based on a two-way interaction between the geometric objects in the space of dual unit quaternions representing dual motion and the geometric objects in the D-module exposed to this dual motion. Therefore, it is thought that this study on the geometry of dual quaternions will bring innovations to the representation of motion with dual quaternions.