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[back] | 3.51. Kuen's Surface |
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The Kuen's Surface [ 2,7,11 ] is represented by the following equations. To keep the formulas a little clearer, we use the constant h.
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h = 1 + u 2 sin(v) sin(v) |
3-168 |
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x = (2 (cos(u) + u sin(u)) sin(v))/h |
3-169 |
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y = (2 (-u cos(u) + sin(u)) sin(v))/h |
3-170 |
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z = log(tan(v/2)) + 2 cos(v)/h |
3-171 |
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 [-4.3, 4.3] |
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v is an element of the number set [0.03, 3.11] |
The Kuen's Surface is an open figure, so the definition range can be changed with the plugin.
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