Dense lines of curvature on convex surfaces

2020 ◽  
Vol 148 (8) ◽  
pp. 3537-3549
Author(s):  
John Guckenheimer
Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 387-405 ◽  
Author(s):  
Vesna Velickovic

Here we study Enneper?s minimal surface and some of its properties. We compute and visualize the lines of self-intersection, lines of intersections with planes, lines of curvature, asymptotic and geodesic lines of Enneper?s surface. For the graphical representations of all the results we use our own software for line graphics.


2017 ◽  
Vol 11 (6) ◽  
pp. 935-941 ◽  
Author(s):  
Nan Wang ◽  
Xiaojie Dang ◽  
Haobo Yuan ◽  
Changhong Liang
Keyword(s):  

1997 ◽  
Vol 123 (3) ◽  
pp. 203-207
Author(s):  
Gheorghe Crăciun ◽  
Tudor Zamfirescu
Keyword(s):  

2011 ◽  
Vol 328-330 ◽  
pp. 560-564
Author(s):  
Ba Sheng Ouyang ◽  
Guo Xiang Lin ◽  
Yong Hui Tang

Cutting forces and machining error in contouring of concave and convex surfaces using helical ball end mills are theoretically investigated. The cutting forces are evaluated based on the theory of oblique cutting. The machining errors resulting from the tool deflections due to these forces are evaluated at various points of the machined surface. The influence of various cutting conditions and cutting modes on machining error is investigated and discussed.


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