3.28. Henneberg's Surface
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[back] | 3.28. Henneberg's Surface |
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The Henneberg's surface [ 3,8,11 ] is represented by the following equations.
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x = 2 cos(v) sinh(u) - 0.667 cos(3 v) sinh(3 u) |
3-99 |
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y = 2 sin(v) sinh(u) + 0.667 sin(3 v) sinh(3 u) |
3-100 |
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z = 2 cos(2v) cosh(2u) |
3-101 |
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 [-1, 1] |
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v is an element from the number set [-pi/2, pi/2] |
Henneberg's surface is a half-open figure, so the definition range of u can be changed with the plugin.
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