3.53. Tranguloid Trefoil
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[back] | 3.53. Tranguloid Trefoil |
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The tranguloid trefoil [ 8 ] is represented by the following equations.
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x = 2 sin(3u)/(2 + cos(v)) |
3-178 |
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y = 2 (sin(u) + 2 sin(2 u))/(2 + cos(v + 2pi/3)) |
3-179 |
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z = (cos(u) - 2 cos(2 u)) (2 + cos(v)) (2 + cos(v + 2pi/3))/4 |
3-180 |
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 number set [-pi, pi] |
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v is an element from the number set [-pi, pi] |
Since the Tranguloid Trefoil is a closed figure, the definition range must be adhered to exactly, it cannot be changed with the plugin.
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