3.22. Hyperbolic Helicoid
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[back] | 3.22. Hyperbolic Helicoid |
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The Hyperbolic Helicoid [ 6 ] is represented by the following equations.
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x = sinh(v) cos(a u)/(1+cosh(u) cosh(v)) |
3-80 |
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y = sinh(v) sin(a u)/(1+cosh(u) cosh(v)) |
3-81 |
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z = cosh(v) sinh(u)/(1+cosh(u) cosh(v)) |
3-82 |
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.
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u is an element from the set of numbers [-4, 4] |
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v is an element from the number set [-4, 4] |
The Hyperbolic Helicoid is an open figure, so the domain of definition can be changed in the plugin.
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