KeyV2/dishes.scad

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include <libraries/geodesic_sphere.scad>
include <shapes.scad>
//geodesic looks much better, but runs very slow for anything above a 2u
geodesic=false;
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//dish selector
module dish(width, height, depth, inverted, tilt) {
if($dish_type == "cylindrical"){
cylindrical_dish(width, height, depth, inverted, tilt);
}
else if ($dish_type == "spherical") {
spherical_dish(width, height, depth, inverted, tilt);
}
else if ($dish_type == "sideways cylindrical"){
sideways_cylindrical_dish(width, height, depth, inverted, tilt);
}
else if ($dish_type == "old spherical") {
old_spherical_dish(width, height, depth, inverted, tilt);
}
// else no dish, "no dish" is the value
}
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module cylindrical_dish(width, height, depth, inverted, tilt){
// .5 has problems starting around 3u
$fa=.25;
/* we do some funky math here
* basically you want to have the dish "dig in" to the keycap x millimeters
* in order to do that you have to solve a small (2d) system of equations
* where the chord of the spherical cross section of the dish is
* the width of the keycap.
*/
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// the distance you have to move the dish so it digs in depth millimeters
chord_length = (pow(width, 2) - 4 * pow(depth, 2)) / (8 * depth);
//the radius of the dish
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rad = (pow(width, 2) + 4 * pow(depth, 2)) / (8 * depth);
direction = inverted ? -1 : 1;
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rotate([90-tilt,0,0]){
translate([0,chord_length * direction,0]){
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cylinder(h=height + 20, r=rad, center=true);
}
}
}
module sideways_cylindrical_dish(width, height, depth, inverted, tilt){
$fa=1;
chord_length = (pow(height, 2) - 4 * pow(depth, 2)) / (8 * depth);
rad = (pow(height, 2) + 4 * pow(depth, 2)) / (8 * depth);
direction = inverted ? -1 : 1;
rotate([90,tilt,90]){
translate([0,chord_length * direction,0]){
cylinder(h = width + 20,r=rad, center=true); // +20 for fudge factor
}
}
}
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module spherical_dish(width, height, depth, inverted, tilt, txt=""){
//same thing as the cylindrical dish here, but we need the corners to just touch - so we have to find the hypotenuse of the top
chord = pow((pow(width,2) + pow(height, 2)),0.5); //getting diagonal of the top
// the distance you have to move the dish up so it digs in depth millimeters
chord_length = (pow(chord, 2) - 4 * pow(depth, 2)) / (8 * depth);
//the radius of the dish
rad = (pow(chord, 2) + 4 * pow(depth, 2)) / (8 * depth);
direction = inverted ? -1 : 1;
/*intersection(){*/
rotate([-tilt,0,0]){
translate([0,0,0 * direction]){
if (geodesic){
$fa=20;
scale([chord/2/depth, chord/2/depth]) {
geodesic_sphere(r=depth);
}
} else {
$fa=7;
// rotate 1 because the bottom of the sphere looks like trash.
scale([chord/2/depth, chord/2/depth]) {
geodesic_sphere(r=depth);
}
}
}
}
}
//the older, 'more accurate', and MUCH slower spherical dish.
// generates the largest sphere possible that still contains the chord we are looking for
// much more graduated curvature at an immense cost
module old_spherical_dish(width, height, depth, inverted, tilt, txt=""){
//same thing as the cylindrical dish here, but we need the corners to just touch - so we have to find the hypotenuse of the top
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chord = pow((pow(width,2) + pow(height, 2)),0.5); //getting diagonal of the top
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// the distance you have to move the dish up so it digs in depth millimeters
chord_length = (pow(chord, 2) - 4 * pow(depth, 2)) / (8 * depth);
//the radius of the dish
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rad = (pow(chord, 2) + 4 * pow(depth, 2)) / (8 * depth);
direction = inverted ? -1 : 1;
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/*intersection(){*/
rotate([-tilt,0,0]){
translate([0,0,chord_length * direction]){
if (geodesic){
$fa=7;
geodesic_sphere(r=rad);
} else {
$fa=1;
// rotate 1 because the bottom of the sphere looks like trash
sphere(r=rad);
}
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}
}
}