Added curves.scad, includes helix_curve() ATM
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curves.scad
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17
curves.scad
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include <constants.scad>
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use <math.scad>
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/* A circular helix of radius a and pitch 2πb is described by the following parametrisation:
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x(t) = a*cos(t),
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y(t) = a*sin(t),
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z(t) = b*t
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*/
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function b(pitch) = pitch/(TAU);
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function t(pitch, z) = z/b(pitch);
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function helix_curve(pitch, radius, z) =
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[radius*cos(deg(t(pitch, z))), radius*sin(deg(t(pitch, z))), z];
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