Affine transformations of hyperbolic number plane

Öztürk İ., ÖZDEMİR M.

Boletin de la Sociedad Matematica Mexicana, cilt.28, sa.3, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s40590-022-00455-2
  • Dergi Adı: Boletin de la Sociedad Matematica Mexicana
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Affine transformation, Fractals, Hyperbolic numbers, Iterated function system, Lorentzian plane
  • Akdeniz Üniversitesi Adresli: Evet

Özet

© 2022, Sociedad Matemática Mexicana.Just as the motions in the Euclidean plane can be studied with the help of complex numbers, the motions in the Lorentzian plane can be studied with the help of hyperbolic numbers. The purpose of this article is to determine affine transformations on Lorentzian plane using the set of hyperbolic numbers and to give some examples on hyperbolical fractals. Also, we give some properties of hyperbolical reflections and rotations.