An approach for designing a developable and minimal ruled surfaces using the curvature theory

Güler F.

International Journal of Geometric Methods in Modern Physics, cilt.18, sa.1, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0219887821500158
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: curvature theory, curves, developable surface, minimal surface, Ruled surfaces
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Developable surfaces are defined to be locally isometric to a plane. These surfaces can be formed by bending thin flat sheets of material, which makes them an active research topic in computer graphics, computer aided design, computational origami and manufacturing architecture. We obtain condition for developable and minimal ruled surfaces using rotation frame. Also, the validity of the theorems is illustrated with examples.