A note on algebraic convex curves of constant width

2011 ◽  
Vol 18 (4) ◽  
pp. 727-733
Author(s):  
Alexander Kharazishvili
Keyword(s):  
Constant Width ◽  
Convex Curves ◽  
Curves Of Constant Width

scholarly journals Morgan-Voyce Polynomial Approach for Quaternionic Space Curves of Constant Width

2021 ◽  
Vol 46 (1) ◽  
pp. 71-83
Author(s):  
Tuba Ağirman Aydin ◽  
Rabil Ayazoğlu ◽  
Hüseyin Kocayiğit
Keyword(s):  
Differential Equations ◽  
Constant Width ◽  
Approximate Solutions ◽  
Geometric Properties ◽  
Space Curves ◽  
Curve Type ◽  
Curves Of Constant Width ◽  
Quaternionic Space

Abstract The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to different roofs in different spaces and some integral characterizations of these curves are obtained. However, in order to examine the geometric properties of curves of constant width, more than characterization is required. In this study, firstly differential equations characterizing quaternionic space curves of constant width are obtained. Then, the approximate solutions of the differential equations obtained are calculated by the Morgan-Voyce polynomial approach.The geometric properties of this curve type are examined with the help of these solutions.

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