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3.44. horn


The horn [ 8 ] is represented by the following equations.


x = (a + u cos(v)) sin(b pi u)



y = (a + u cos(v)) cos(b pi u) + cu



z = u sin(v)


The constants a, b and c determine 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 [0, 1]


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. 48

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