Sine Curve

Diminishing amplitude Sine Curve
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n = 500;
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w = 10;
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h = 4;
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x = 0..Math.PI*2*10..#n;
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y = Math.Sin(0..360*w..#n) * (h..0.1..#n);
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p = Point.ByCoordinates(x,y);
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c = NurbsCurve.ByPoints(p);
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Diminishing amplitude Sine Curve along Base Curve
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//Base Curve
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c1 = NurbsCurve.ByPoints
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(Point.ByCoordinates([0,10,50],[0,10,0]));
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//Number of Divisions
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n = 500;
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//Scale Wave Extent
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w = 10;
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//Scale Wave Height
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h = 5;
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//Points on Curve
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p1 = c1.PointAtParameter(0..1..#n);
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//Normal at Points
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n1 = c1.NormalAtParameter(0..1..#n);
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//Scale wrt Base Curve Length
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s = c1.Length/(Math.PiTimes2*w);
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y = Math.Sin(0..360*w..#n) * (h..0.1..#n) * s;
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p2 = p1.Translate(n1,y);
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//Nurbs Curve
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c2 = NurbsCurve.ByPoints(p2);
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Diminishing amplitude Sine Curve along Base Curve with Attractor
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//Number of Points
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ct = 200;
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​
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//Amplitude Scale
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as = 2;
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​
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//Period Scale
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ps = 8;
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​
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//Base Curve
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bc = NurbsCurve.ByControlPoints(Point.ByCoordinates([0,10,40,50],[0,20,20,0]));
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cp = bc.PointAtParameter(0..1..#ct);
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cn = bc.NormalAtParameter(0..1..#ct);
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​
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//Sine Curve
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ds = Math.Sin(0..360*ps..#ct)*2;
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ic = Math.RemapRange(at.DistanceTo(cp),as,0);
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nc = NurbsCurve.ByPoints(cp.Translate(cn,ds*Math.Pow(ic,2)));
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