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3.38. Kidney Surface

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

 

x = cos(u) (3 cos(v) - cos(3v))

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y = sin(u) (3 cos(v) - cos(3 v))

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z = 3sin(v) - sin(3v)

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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 [-pi/2, pi/2]

 

Since the Kidney Surface is a closed figure, the definition range must be adhered to exactly, it cannot be changed with the plugin.
The plugin creates an optimized mesh without duplicate points and unconnected polygons.


Fig. 42


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