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Add shape gate definition, with sharpness

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Quinn
2022-01-08 15:43:37 -08:00
parent 2472745707
commit 03b2a96c26
1 changed files with 41 additions and 30 deletions
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poly_gates.scad
+36 -25
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@@ -3,60 +3,71 @@ gate_height = 50;
sq_poly = let(corner = 1 / sqrt(2)) [
[-corner, -corner],
[corner, -corner],
[corner, corner],
[-corner, corner],
[-corner, -corner],
[corner, -corner]
];
oct_poly = let(corner = 1 / sqrt(2))[
[-corner, -corner],
[0,-1],
[corner, -corner],
[1,0],
[corner, corner],
[0,1],
[-corner, corner],
[-1,0],
[-corner, -corner],
[0,-1],
[corner, -corner],
];
octn_poly = let(corner = 1 / sqrt(2 / 1.2))[
[-corner, -corner],
[0,-1],
[corner, -corner],
[1,0],
[corner, corner],
[0,1],
[-corner, corner],
[-1,0],
[-corner, -corner],
[0,-1],
[corner, -corner],
];
function scale_xy_z(m, xy, z) = [ for (i = [0 : len(m) - 1]) [m[i].x * xy, m[i].y * xy, z]];
function scale_xy(xy, m) = [ for (i = m) [i.x * xy, i.y * xy]];
function throw_end(throw) = gate_height * tan(throw);
function add_z(z, m) = [ for (i = m) concat(i, z) ];
function throw_points(shape, throw) = concat([[0,0,0]],scale_xy_z(shape, throw_end(throw), gate_height));
function throw_end(throw, base_offset) = base_offset + gate_height * tan(throw);
function throw_faces(points) = [
[each [1:len(points) - 1]],
for(i =[1:len(points) - 1]) let (next = i < len(points) - 1 ? i + 1 : 1) [i, next, 0]
function throw_polygons(shape, throw, base_offset = 0) = [
add_z(0, scale_xy(base_offset, shape)),
add_z(gate_height, scale_xy(throw_end(throw, base_offset), shape))
];
module shape_gate (shape, throw, shaft_r, sharpness = 1) {
function throw_points(shape, throw, base_offset = 0) = let(polys = throw_polygons(shape, throw, base_offset)) [
for(i = [0,len(polys) - 1]) each polys[i]
];
}
function throw_faces(points) = let(length = len(points), half = len(points) / 2) [
[for(i = [0:half - 1]) i],
[half, half + 1, 1, 0],
[for(i = [length - 1:-1:half]) i],
for(i = [1:half - 2]) [half + i, half + i + 1, i + 1, i],
[length - 1, half, 0, half - 1]
];
//echo(concat([[0,0,0]],scale_xy_z(sq_poly, 3, 3)));
function lerp(a,b,t) = a + (b - a) * t;
echo(throw_points(sq_poly, 15));
echo(throw_faces(throw_points(sq_poly, 15)));
points = throw_points(octn_poly, 15);
faces = throw_faces(points);
module shape_gate (shape, throw, shaft_r, sharpness = 0) {
sharpness = lerp(1, shaft_r, sharpness);
corner_r = shaft_r / sharpness;
corner_offset = corner_r * (sharpness - 1);
points = throw_points(shape, throw, corner_offset);
echo(points);
echo(corner_r);
minkowski(){
hull(){
polyhedron(points, faces);
polyhedron(points, throw_faces(points));
cylinder(1, corner_r);
}
cylinder(1,3);
}
shape_gate(octn_poly, 10, 9.8 / 2, 0);