Loxodromes on Twisted Surfaces in Euclidean 3-Space
Mustafa Altin
TL;DR
This paper investigates loxodromes on twisted surfaces in Euclidean 3-space, providing theoretical analysis and visual examples to understand their properties and behavior.
Contribution
It introduces a study of loxodromes on twisted surfaces, generalizing the concept beyond rotational surfaces and offering new insights into their geometric properties.
Findings
Loxodromes cut all meridians and parallels at a constant angle.
Examples illustrate the behavior of loxodromes on twisted surfaces.
Theoretical framework supports visualization of loxodromes.
Abstract
In the present paper, loxodromes, which cut all meridians and parallels of twisted surfaces (that can be considered as a generalization of rotational surfaces) at a constant angle, have been studied in Euclidean 3-space and some examples have been constructed to visualize and support our theory.
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Taxonomy
TopicsMathematics and Applications · Computational Geometry and Mesh Generation · Historical Geography and Cartography