Turkish Journal of Mathematics
Author ORCID Identifier
BÜLENT ALTUNKAYA: 0000-0002-3186-5643
Abstract
This work establishes connections between different classes of arbitrary speed rectifying helices. We further analyze how the involute of a space curve can exhibit spherical helicity and how the evolute can inherit rectifying properties, thereby providing an alternative characterization of these helices. These relationships, along with their interplay with involutes and evolutes, are supported by illustrative examples that offer deeper insights into their geometric properties.
DOI
10.55730/1300-0098.3618
Keywords
Rectifying curve, involute-evolute, spherical helix, slant helix, clad helix, g-clad helix.
First Page
695
Last Page
713
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
ALTUNKAYA, B (2025). The generalization of rectifying helices. Turkish Journal of Mathematics 49 (5): 695-713. https://doi.org/10.55730/1300-0098.3618
