A Characterization of Curves of Constant Width

1974 ◽  
Vol 81 (2) ◽  
pp. 153 ◽  
Author(s):  
G. D. Chakerian
Keyword(s):  
Constant Width ◽  
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.

A new characterization of convex plates of constant width

1990 ◽  
Vol 34 (2) ◽  
pp. 199-209 ◽  
Author(s):  
Endre Makai ◽  
Horst Martini
Keyword(s):  
Constant Width

Real algebraic curves of constant width

2016 ◽  
Vol 74 (2) ◽  
pp. 235-244
Author(s):  
Chatchawan Panraksa ◽  
Lawrence C. Washington
Keyword(s):  
Algebraic Curves ◽  
Constant Width ◽  
Real Algebraic Curves ◽  
Curves Of Constant Width
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