Analysis shows parallel-like curves become Bertrand and Mannheim curves under specific conditions.
In this research, we consider the relations between parallel-like curves and some special curves in a 3-dimensional Galilean space. We prove that, although parallel-like curves are not an involute-evolute curve couple, they become a Bertrand and Mannheim curve couple under certain conditions. We also present this practically and visually.
No takes yet. Share an insight, caveat, or question.
Çakmak et al. (2025) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: