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Add bezier endpoint, tweak _bezcorners to properly produce that
endpoint. doc tweak for polyhedra.
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3 changed files with 13 additions and 9 deletions
18
beziers.scad
18
beziers.scad
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@ -238,19 +238,20 @@ function bezier_curvature(curve, u) =
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];
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// Function: bezier_curve()
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// Usage:
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// bezier_curve(curve, n);
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// bezier_curve(curve, n, [endpoint]);
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// Description:
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// Takes a list of bezier curve control points, and a count of path points to generate. The points
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// returned will be along the curve, starting at the first control point, then about every `1/n`th
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// of the way along the curve, ending about `1/n`th of the way *before* the final control point.
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// The distance between the points will *not* be equidistant. The degree of the curve, N, is one
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// Takes a list of bezier curve control points and generates n points along the bezier path.
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// Points start at the first control point and are sampled every `1/n`th
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// of the way along the bezier parameter, ending *before* the final control point by default.
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// The distance between the points will *not* be equidistant. If you wish to add the
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// endpoint you can set `endpoint` to true. The degree of the bezier curve is one
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// less than the number of points in `curve`.
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// Arguments:
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// curve = The list of endpoints and control points for this bezier segment.
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// n = The number of points to generate along the bezier curve.
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// endpoint = if true then add the endpoint (an extra point, giving n+1 points output). Default: False
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// Example(2D): Quadratic (Degree 2) Bezier.
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// bez = [[0,0], [30,30], [80,0]];
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// move_copies(bezier_curve(bez, 8)) sphere(r=1.5, $fn=12);
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@ -263,8 +264,9 @@ function bezier_curvature(curve, u) =
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// bez = [[0,0], [5,15], [40,20], [60,-15], [80,0]];
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// move_copies(bezier_curve(bez, 8)) sphere(r=1.5, $fn=12);
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// trace_bezier(bez, N=len(bez)-1);
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function bezier_curve(curve,n) = bezier_points(curve, [0:1/n:(n-0.5)/n]);
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function bezier_curve(curve,n,endpoint) = [each bezier_points(curve, [0:1/n:(n-0.5)/n]),
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if (endpoint) curve[len(curve)-1]
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];
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// Function: bezier_segment_closest_point()
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// Usage:
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@ -121,6 +121,7 @@ function _unique_groups(m) = [
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//
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// Arguments:
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// name = Name of polyhedron to create.
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// ---
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// index = Index to select from polyhedron list. Default: 0.
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// type = Type of polyhedron: "platonic", "archimedean", "catalan".
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// faces = Number of faces.
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@ -564,6 +565,7 @@ _stellated_polyhedra_ = [
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//
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// Arguments:
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// name = Name of polyhedron to create.
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// ---
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// index = Index to select from polyhedron list. Default: 0.
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// type = Type of polyhedron: "platonic", "archimedean", "catalan".
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// faces = Number of faces.
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@ -308,7 +308,7 @@ function _bezcorner(points, parm) =
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] : _smooth_bez_fill(points,parm),
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N = max(3,$fn>0 ?$fn : ceil(bezier_segment_length(P)/$fs))
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)
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bezier_curve(P,N);
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bezier_curve(P,N,endpoint=true);
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function _chamfcorner(points, parm) =
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let(
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