Construction of a Family of Minimal Helicoid Surfaces Passing Through an Isoparametric Helix Curve

Ridwan Prawira Yunaldi (Department of Mathematics and Data Science, Universitas Andalas, Indonesia)
Haripamyu Haripamyu (Department of Mathematics and Data Science, Universitas Andalas, Indonesia)
Efendi Efendi (Department of Mathematics and Data Science, Universitas Andalas, Indonesia)

CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 11, No 2 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI

This research concerns the construction of a family of minimal surfaces passing through a helical curve. The construction follows the research by Yoon, which employs an approach using the curvature and torsion functions of a given curve. The construction yields a family of generalized helicoids as the minimal surfaces passing through the helical curve.