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3.11. Plücker's Conoid

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The Plücker Conoid [ 6,11,18 ] is represented by the following equations.

 

x = u sqrt(1 - v 2 )

3-45
 

y = u v

3-46
 

z = 1 - v 2

3-47

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, 2]

  
 

v is an element from the number set [-1, 1]

  

The Plücker's Conoid is an open figure, so the definition range can be changed with the plugin.


Fig. 15

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