On the Quaternionic Involute-Evolute Curves
T\"ulay Soyf\.idan, Mehmet Ali G\"ung\"or
TL;DR
This paper explores the properties and characterizations of quaternionic involute-evolute curves, providing new theorems and examples, with applications demonstrated through Mathematica visualizations.
Contribution
It introduces algebraic properties of real quaternions and characterizes quaternionic involute-evolute curves, adding new theoretical results and visual examples.
Findings
Characterization of quaternionic involute-evolute curves
New theorems for quaternionic w-curves
Illustrative examples with Mathematica
Abstract
In this study, after introducing algebraic properties of real quaternions some characterizations of quaternionic involute-evolute curves in Q are obtained. And some results and theorems for quaternionic w-curves are given. Lastly, we illustrate some examples and draw their figures with Mathematica Programme.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Algebraic and Geometric Analysis