dotSCAD/docs/lib2x-fibonacci_lattice.md

# 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](https://en.wikipedia.org/wiki/Platonic_solid) 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](images/lib2x-fibonacci_lattice-1.JPG)

    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](images/lib2x-fibonacci_lattice-2.JPG)