Morgan-Voyce polynomial approach for quaternionic space curves of constant width

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Aydin T. A., Ayazoğlu R., KOCAYİĞİT H.

Foundations of Computing and Decision Sciences, cilt.46, sa.1, ss.71-83, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.2478/fcds-2021-0005
  • Dergi Adı: Foundations of Computing and Decision Sciences
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.71-83
  • Anahtar Kelimeler: Curve of constant width, Morgan-Voyce polynomial approach, Quaternionic space curve
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to different roofs in different spaces and some integral characterizations of these curves are obtained. However, in order to examine the geometric properties of curves of constant width, more than characterization is required. In this study, firstly differential equations characterizing quaternionic space curves of constant width are obtained. Then, the approximate solutions of the differential equations obtained are calculated by the Morgan-Voyce polynomial approach. The geometric properties of this curve type are examined with the help of these solutions.