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3.49. Stiletto Surface

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The stiletto surface [ 8 ] is represented by the following equations.

 

x = (2+cos(u)) cos(v) cos(v) cos(v) sin(v)

3-162

 

y = (2+cos(u+2pi/3)) cos(v+2pi/3) cos(v+2pi/3) sin(v+2pi/3) sin(v+2pi/3 )

3-163

 

z = -(2+cos(u-2pi/3)) cos(v+2pi/3) cos(v+2pi/3) sin(v+2pi/3) sin(v+2pi/ 3)

3-164

To represent the area, the two parameters u and v can assume the following values ​​(domain of definition), for example.

 

u is an element from the set of numbers [0, 2 pi]

 
 

v is an element from the number set [0, pi]

 

Since the Stiletto Surface is a closed figure, the definition range must be adhered to exactly, it cannot be changed with the plugin.


Fig. 53


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