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zhao
2023-03-23 22:11:12 -04:00
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// (c)2013 Felipe Sanches <juca@members.fsf.org>
// licensed under the terms of the GNU GPL version 3 (or later)
function normalize(v) = v / (sqrt(v[0] * v[0] + v[1] * v[1]));
//
// The voronoi() function generates a 2D surface, which can be provided to
// a) linear_extrude() to produce a 3D object
// b) intersection() to restrict it to a a specified shape -- see voronoi_polygon.scad
//
// Parameters:
// points (required) ... nuclei coordinates (array of [x, y] pairs)
// L ... the radius of the "world" (the pattern is built within this circle)
// thickness ... the thickness of the lines between cells
// round ... the radius applied to corners (fillet in CAD terms)
// nuclei (bool) ... show nuclei sites
//
// These parameters need to be kept more or less in proportion to each other, and to the distance
// apart of points in the point_set. If one or the other parameter is increased or decreased too
// much, you'll get no output.
//
module voronoi(points, L = 200, thickness = 1, round = 6, nuclei = true) {
for (p = points) {
difference() {
minkowski() {
intersection_for(p1 = points){
if (p != p1) {
angle = 90 + atan2(p[1] - p1[1], p[0] - p1[0]);
translate((p + p1) / 2 - normalize(p1 - p) * (thickness + round))
rotate([0, 0, angle])
translate([-L, -L])
square([2 * L, L]);
}
}
circle(r = round, $fn = 20);
}
if (nuclei)
translate(p) circle(r = 1, $fn = 20);
}
}
}
//
// The random_voronoi() function is the helper wrapper over the voronoi() core.
// It generates random nuclei site coordinates into the square area,
// passing other arguments to voronoi() unchanged.
//
// Parameters:
// n ... number of nuclei sites to be generated
// nuclei (bool) ... show nuclei sites
// L ... the radius of the "world" (the pattern is built within this circle)
// thickness ... the thickness of the lines between cells
// round ... the radius applied to corners (fillet in CAD terms)
// min ... minimum x and y coordinate for nuclei generation
// max ... maximum x and y coordinate for nuclei generation
// seed ... seed for the random generator (random if undefined)
// center (bool) ... move resulting pattern to [0, 0] if true
//
module random_voronoi(n = 20, nuclei = true, L = 200, thickness = 1, round = 6, min = 0, max = 100, seed = undef, center = false) {
seed = seed == undef ? rands(0, 100, 1)[0] : seed;
echo("Seed", seed);
// Generate points.
x = rands(min, max, n, seed);
y = rands(min, max, n, seed + 1);
points = [ for (i = [0 : n - 1]) [x[i], y[i]] ];
// Center Voronoi.
offset_x = center ? -(max(x) - min(x)) / 2 : 0;
offset_y = center ? -(max(y) - min(y)) / 2 : 0;
translate([offset_x, offset_y])
voronoi(points, L = L, thickness = thickness, round = round, nuclei = nuclei);
}
// example with an explicit list of points:
point_set = [
[0, 0], [30, 0], [20, 10], [50, 20], [15, 30], [85, 30], [35, 30], [12, 60],
[45, 50], [80, 80], [20, -40], [-20, 20], [-15, 10], [-15, 50]
];
//voronoi(points = point_set, round = 4, nuclei = true);
module voronoi3u_N(h) {
intersection() {
translate(v=[10,5,0])
cube(size=[160, 10, h]);
translate(v=[20,-52,0])
scale(v=[0.40,0.44,10])
linear_extrude(height=10)
random_voronoi(n = 128, round = 2, min = 0, max = 350, seed = 40, thickness=3.5, nuclei=false);
}
}