Research constructs minimal surfaces passing through a helical curve, indicating new geometric insights.
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.
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Yunaldi et al. (2026) studied this question.
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