mirror of
https://github.com/JustinSDK/dotSCAD.git
synced 2025-02-25 10:03:02 +01:00
71 lines
2.1 KiB
Markdown
71 lines
2.1 KiB
Markdown
# sphere_spiral
|
|
|
|
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]`.
|
|
|
|
## Parameters
|
|
|
|
- `radius` : The radius of the sphere.
|
|
- `za_step` : The spiral rotates around the z axis. When the rotated angle increases `za_step`, a point will be calculated.
|
|
- `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.
|
|
- `begin_angle` : The default value is 0 which means begins from the north pole of the sphere. See examples below.
|
|
- `end_angle` : The default value is 0 which means begins from the sourth pole of the sphere. See examples below.
|
|
- `vt_dir` : `"SPI_DOWN"` for spiraling down. `"SPI_UP"` for spiraling up. The default value is `"SPI_DOWN"`.
|
|
- `rt_dir` : `"CT_CLK"` for counterclockwise. `"CLK"` for clockwise. The default value is `"CT_CLK"`.
|
|
|
|
## Examples
|
|
|
|
use <hull_polyline3d.scad>;
|
|
use <sphere_spiral.scad>;
|
|
|
|
points_angles = sphere_spiral(
|
|
radius = 40,
|
|
za_step = 10,
|
|
z_circles = 20,
|
|
begin_angle = 90,
|
|
end_angle = 90
|
|
);
|
|
|
|
hull_polyline3d([for(pa = points_angles) pa[0]], 1);
|
|
|
|
%sphere(40);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
use <sphere_spiral.scad>;
|
|
|
|
points_angles = sphere_spiral(
|
|
radius = 40,
|
|
za_step = 20,
|
|
z_circles = 40,
|
|
begin_angle = 900
|
|
);
|
|
|
|
for(pa = points_angles) {
|
|
translate(pa[0]) rotate(pa[1])
|
|
rotate([90, 0, 90]) linear_extrude(1)
|
|
text("A", valign = "center", halign = "center");
|
|
}
|
|
|
|
%sphere(40);
|
|
|
|
|
|
|
|
use <hull_polyline3d.scad>;
|
|
use <sphere_spiral.scad>;
|
|
|
|
points_angles = sphere_spiral(
|
|
radius = 40,
|
|
za_step = 5
|
|
);
|
|
|
|
for(a = [0:30:360]) {
|
|
rotate(a)
|
|
hull_polyline3d([for(pa = points_angles) pa[0]], 2);
|
|
}
|
|
|
|
|