3.5. Dini's Surface
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[back] | 3.5. Dini's Surface |
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The Dini Surface [ 2,7,11 ] is represented by the following equations.
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x = a cos(u) sin(v) |
3-21 |
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y = a sin(u) sin(v) |
3-22 |
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z = a [cos(v) + ln(tan(v/2))] + bu |
3-23 |
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.
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u is an element from the set of numbers [0, 4 pi] |
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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.
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