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

Ridwan Prawira Yunaldi, Haripamyu Haripamyu, Efendi Efendi

Abstract


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.

Keywords


curvature; helicoid; helix; minimal surface; torsion

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References


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DOI: https://doi.org/10.18860/cauchy.v11i2.41759

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