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3.20. helicoid

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The helicoid [ 3,11 ] is represented by the following equations.

 

x = u cos(v)

3-74

 

y = u sin(v)

3-75

 

z = cv

3-76

The constant c determines the appearance of the figure.

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 [-2.0, 2.0]

 
 

v is an element of the number set [0, 2pi]

 

The helicoid is a half-open figure, so the domain of u can be changed in the plugin.


Fig. 24


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