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3.42. Pillow shape


The pillow shape [ 8 ] is represented by the following equations.


x = cos(u)



y = cos(v)



z = a sin(u) sin(v)


The constant a 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 [0, pi]


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


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

Fig. 46

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