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dotSCAD/docs/lib2x-fibonacci_lattice.md
2020-12-15 11:58:17 +08:00

1.3 KiB

fibonacci_lattice

Creates visually even spacing of n points on the surface of the sphere. Nearest-neighbor points will all be approximately the same distance apart. There're 8 spirals on the sphere.

(It's called "visually even spacing" because only the vertices of the 5 Platonic solids can be said to be truly evenly spaced around the surface of a sphere.)

Parameters

  • n : The number of points.
  • radius : The sphere radius. Default to 1.
  • rt_dir : "CT_CLK" for counterclockwise. "CLK" for clockwise. The default value is "CT_CLK".

Examples

use <fibonacci_lattice.scad>;

n = 200;
radius = 20;
pts = fibonacci_lattice(n, radius);

for(p = pts) {
    translate(p)
        sphere(1);
}
    
sphere(radius);

fibonacci_lattice

use <fibonacci_lattice.scad>;
use <hull_polyline3d.scad>;

n = 200;
radius = 20;
pts = fibonacci_lattice(n, radius);

for(p = pts) {
    translate(p)
        sphere(1);
}
    
sphere(radius);

spirals = [for(j = [0:7]) 
    [for(i = j; i < len(pts); i = i + 8) pts[i]]
];

for(spiral = spirals) {
    hull_polyline3d(spiral, 1);	
}

fibonacci_lattice