3.5. Dini's Surface


The Dini Surface [ 2,7,11 ] is represented by the following equations.


x = a cos(u) sin(v)



y = a sin(u) sin(v)



z = a [cos(v) + ln(tan(v/2))] + bu


The constants a and b 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, 4 pi]


v is an element of the number set [0.01, 2]


The parameter v must not be zero, otherwise there will be an error in the calculation. The expression ln(tan(0.5 v)) is then not defined.

Fig. 9

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