3.28. Henneberg's Surface


The Henneberg's surface [ 3,8,11 ] is represented by the following equations.


x = 2 cos(v) sinh(u) - 0.667 cos(3 v) sinh(3 u)



y = 2 sin(v) sinh(u) + 0.667 sin(3 v) sinh(3 u)



z = 2 cos(2v) cosh(2u)


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 [-1, 1]


v is an element from the number set [-pi/2, pi/2]


Henneberg's surface is a half-open figure, so the definition range of u can be changed with the plugin.

Fig. 32

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