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3.50. Apple Surface

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The Apple Surface [ 8 ] is represented by the following equations.

 

x = cos(u) (4 + 3.8 cos(v))

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y = sin(u) (4 + 3.8 cos(v))

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z = (cos(v)+sin(v)-1) (1+sin(v)) log(1-pi v/10)+7.5 sin(v)

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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, pi]

 

The domain of definition cannot be changed in the plugin.
The plugin creates an optimized mesh without duplicate points and unconnected polygons.


Fig. 54


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