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3.53. Tranguloid Trefoil

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The tranguloid trefoil [ 8 ] is represented by the following equations.

 

x = 2 sin(3u)/(2 + cos(v))

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

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z = (cos(u) - 2 cos(2 u)) (2 + cos(v)) (2 + cos(v + 2pi/3))/4

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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 number set [-pi, pi]

 
 

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

 

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


Fig. 57


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