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symmetric

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Justin Lin
2020-04-09 14:31:08 +08:00
parent 9e4aa9928a
commit 53e86a14fa
2 changed files with 36 additions and 58 deletions
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60
examples/voronoi/voronoi_penholder.scad
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@@ -1,53 +1,21 @@
use <hull_polyline2d.scad>;
use <shape_square.scad>;
use <hollow_out.scad>;
use <experimental/voronoi_square.scad>;
use <bend_extrude.scad>;
use <experimental/voronoi2d_cells.scad>;
use <arc.scad>;
xy = [100, 40];
pt_nums = 20;
size = [300, 120];
grid_w = 30;
thickness = 2;
spacing = 3;
seed = 5;
$fn = 24;
voronoi_penholder(xy, pt_nums, thickness);
color("black")
bend_extrude(size, thickness = thickness, angle = 360)
voronoi_square(size, grid_w, seed, spacing);
module voronoi_penholder(xy, pt_nums, thickness) {
xs1 = rands(0, xy[0], pt_nums);
ys1 = rands(0, xy[1], pt_nums);
points = [for(i = [0:len(xs1) - 1]) [xs1[i], ys1[i]]];
cpts = concat(
[for(p = points) if(p[0] > xy[0] - 10) p + [-xy[0], 0]],
points,
[for(p = points) if(p[0] < 10) p + [xy[0], 0]]
);
function default_region_size(points) =
let(
xs = [for(p = points) p[0]],
ys = [for(p = points) abs(p[1])]
)
max([(max(xs) - min(xs) / 2), (max(ys) - min(ys)) / 2]);
size = default_region_size(cpts);
region_shape = shape_square(size, corner_r = size / 5);
cells = voronoi2d_cells(cpts, region_shape);
bend_extrude(size = [xy[0], xy[1]], thickness = thickness, angle = 360, $fn = 48)
{
for(i = [0:len(cpts) - 1]) {
cell = cells[i];
hull_polyline2d(concat(cell, [cell[0]]), width = thickness);
}
}
r = 0.5 * xy[0] / PI;
r = size[0] / (2 * PI);
linear_extrude(size[1])
arc(radius = r - thickness, angle = [0, 360], width = thickness / 2);
linear_extrude(thickness)
circle(r, $fn = 48);
translate([0, 0, xy[1]])
linear_extrude(thickness)
hollow_out(shell_thickness = thickness)
circle(r, $fn = 48);
}
circle(r);

32
src/experimental/voronoi_square.scad
View File

@@ -3,28 +3,32 @@ module voronoi_square(size, grid_w, seed, spacing = 1, r = 0, delta = 0, chamfer
function _lookup_noise_table(i) = _noise_table[i % 256];
function cell_pt(fcord, seed, x, y) =
function cell_pt(fcord, seed, x, y, gw, gh) =
let(
nx = fcord[0] + x,
ny = fcord[1] + y,
sd_base = abs(nx + ny * grid_w),
sd_x = nx < 0 ? nx + gw :
nx >= gw ? nx % gw : nx,
sd_y = ny < 0 ? ny + gh :
ny >= gh ? ny % gh : ny,
sd_base = abs(sd_x + sd_y * grid_w),
sd1 = _lookup_noise_table(seed + sd_base),
sd2 = _lookup_noise_table(sd1 * 255 + sd_base)
)
[(nx + sd1) * grid_w, (ny + sd2) * grid_w];
// 21-nearest-neighbor
function _neighbors(fcord, seed, grid_w) =
function _neighbors(fcord, seed, grid_w, gw, gh) =
concat(
[
for(y = [-1:1])
for(x = [-1:1])
cell_pt(fcord, seed, x, y)
cell_pt(fcord, seed, x, y, gw, gh)
],
[for(x = [-1:1]) cell_pt(fcord, seed, x, -2)],
[for(x = [-1:1]) cell_pt(fcord, seed, x, 2)],
[for(y = [-1:1]) cell_pt(fcord, seed, -2, y)],
[for(y = [-1:1]) cell_pt(fcord, seed, 2, y)]
[for(x = [-1:1]) cell_pt(fcord, seed, x, -2, gw, gh)],
[for(x = [-1:1]) cell_pt(fcord, seed, x, 2, gw, gh)],
[for(y = [-1:1]) cell_pt(fcord, seed, -2, y, gw, gh)],
[for(y = [-1:1]) cell_pt(fcord, seed, 2, y, gw, gh)]
);
region_size = grid_w * 3;
@@ -44,13 +48,19 @@ module voronoi_square(size, grid_w, seed, spacing = 1, r = 0, delta = 0, chamfer
sd = is_undef(seed) ? rands(0, 255, 1)[0] : seed;
cell_nbrs_lt = [for(cy = [0:grid_w:size[1]])
for(cx = [0:grid_w:size[0]])
gw = size[0] / grid_w;
gh = size[1] / grid_w;
cell_nbrs_lt = [for(cy = [-grid_w:grid_w:size[1]])
for(cx = [-grid_w:grid_w:size[0]])
let(
nbrs = _neighbors(
[floor(cx / grid_w), floor(cy / grid_w)],
sd,
grid_w
grid_w,
gw,
gh
),
p = nbrs[4],
points = concat(