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74 lines
2.2 KiB
Markdown
74 lines
2.2 KiB
Markdown
# sphere_spiral
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Creates all points and angles on the path of a spiral around a sphere. It returns a vector of `[[x, y, z], [ax, ay, az]]`. `[x, y, z]` is actually obtained from rotating `[radius, 0, 0]` by `[ax, ay, az]`. It depends on the `rotate_p` function. Remember to include rotate_p.scad first.
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## Parameters
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- `radius` : The radius of the sphere.
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- `za_step` : The spiral rotates around the z axis. When the rotated angle increases `za_step`, a point will be calculated.
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- `z_circles` : The spiral rotates around the z axis. This parameter determines how many circles it will rotate from the top to the end. It defaults to 1.
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- `begin_angle` : The default value is 0 which means begins from the north pole of the sphere. See examples below.
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- `end_angle` : The default value is 0 which means begins from the sourth pole of the sphere. See examples below.
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- `vt_dir` : `"SPI_DOWN"` for spiraling down. `"SPI_UP"` for spiraling up. The default value is `"SPI_DOWN"`.
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- `rt_dir` : `"CT_CLK"` for counterclockwise. `"CLK"` for clockwise. The default value is `"CT_CLK"`.
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## Examples
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include <rotate_p.scad>;
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include <hull_polyline3d.scad>;
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include <sphere_spiral.scad>;
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points_angles = sphere_spiral(
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radius = 40,
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za_step = 10,
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z_circles = 20,
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begin_angle = 90,
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end_angle = 90
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);
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hull_polyline3d([for(pa = points_angles) pa[0]], 1);
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%sphere(40);
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include <rotate_p.scad>;
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include <sphere_spiral.scad>;
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points_angles = sphere_spiral(
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radius = 40,
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za_step = 20,
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z_circles = 40,
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begin_angle = 900
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);
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for(pa = points_angles) {
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translate(pa[0]) rotate(pa[1])
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rotate([90, 0, 90]) linear_extrude(1)
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text("A", valign = "center", halign = "center");
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}
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%sphere(40);
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include <rotate_p.scad>;
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include <hull_polyline3d.scad>;
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include <sphere_spiral.scad>;
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points_angles = sphere_spiral(
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radius = 40,
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za_step = 5
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);
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for(a = [0:30:360]) {
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rotate(a)
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hull_polyline3d([for(pa = points_angles) pa[0]], 2);
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}
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