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129 lines
3.2 KiB
Markdown
129 lines
3.2 KiB
Markdown
# path_scaling_sections
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Given an edge path with the first point at the outline of a shape. This function uses the path to calculate scaling factors and returns all scaled sections in the reversed order of the edge path. Combined with the `polysections` module, you can create an extrusion with the path as an edge.
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In order to control scaling factors easily, I suggest using `[x, 0, 0]` as the first point and keeping y = 0 while building the edge path.
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You can use any point as the first point of the edge path. Just remember that your edge path radiates from the origin.
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**Since:** 1.2.
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## Parameters
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- `shape_pts` : A list of points represent a shape.
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- `edge_path` : A list of points represent the edge path.
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## Examples
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use <hull_polyline3d.scad>;
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use <shape_taiwan.scad>;
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use <path_scaling_sections.scad>;
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use <polysections.scad>;
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taiwan = shape_taiwan(100);
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fst_pt = [13, 0, 0];
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edge_path = [
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fst_pt,
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fst_pt + [0, 0, 10],
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fst_pt + [10, 0, 20],
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fst_pt + [8, 0, 30],
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fst_pt + [12, 0, 40],
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fst_pt + [0, 0, 50],
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fst_pt + [0, 0, 60]
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];
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#hull_polyline3d(edge_path);
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polysections(path_scaling_sections(taiwan, edge_path));
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use <hull_polyline3d.scad>;
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use <shape_taiwan.scad>;
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use <path_scaling_sections.scad>;
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use <polysections.scad>;
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use <bezier_curve.scad>;
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taiwan = shape_taiwan(100);
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fst_pt = [13, 0, 0];
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edge_path = bezier_curve(0.05, [
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fst_pt,
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fst_pt + [0, 0, 10],
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fst_pt + [10, 0, 20],
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fst_pt + [8, 0, 30],
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fst_pt + [12, 0, 40],
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fst_pt + [0, 0, 50],
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fst_pt + [0, 0, 60]
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]);
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#hull_polyline3d(edge_path);
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polysections(path_scaling_sections(taiwan, edge_path));
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use <shape_taiwan.scad>;
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use <path_scaling_sections.scad>;
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use <polysections.scad>;
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use <bezier_curve.scad>;
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use <rotate_p.scad>;
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taiwan = shape_taiwan(100);
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fst_pt = [13, 0, 0];
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edge_path = bezier_curve(0.05, [
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fst_pt,
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fst_pt + [0, 0, 10],
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fst_pt + [10, 0, 20],
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fst_pt + [8, 0, 30],
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fst_pt + [12, 0, 40],
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fst_pt + [0, 0, 50],
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fst_pt + [0, 0, 60]
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]);
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leng = len(edge_path);
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twist = -90;
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twist_step = twist / leng;
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sections = path_scaling_sections(taiwan, edge_path);
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rotated_sections = [
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for(i = [0:leng - 1])
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[
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for(p = sections[i])
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rotate_p(p, twist_step * i)
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]
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];
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polysections(rotated_sections);
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use <hull_polyline3d.scad>;
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use <shape_taiwan.scad>;
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use <path_scaling_sections.scad>;
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use <polysections.scad>;
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use <rotate_p.scad>;
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taiwan = shape_taiwan(100);
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/*
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You can use any point as the first point of the edge path.
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Just remember that your edge path radiates from the origin.
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*/
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fst_pt = [taiwan[0][0], taiwan[0][1], 0];//[13, 0, 0];
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a = atan2(fst_pt[1], fst_pt[0]);
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edge_path = [
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fst_pt,
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fst_pt + rotate_p([0, 0, 10], a),
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fst_pt + rotate_p([10, 0, 20], a),
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fst_pt + rotate_p([8, 0, 30], a),
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fst_pt + rotate_p([10, 0, 40], a),
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fst_pt + rotate_p([0, 0, 50], a),
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fst_pt + rotate_p([0, 0, 60], a)
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];
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#hull_polyline3d(edge_path);
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polysections(path_scaling_sections(taiwan, edge_path));
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