51 lines
2.0 KiB
OpenSCAD
51 lines
2.0 KiB
OpenSCAD
module cylindrical_dish(top_total_key_width, dish_depth, inverted_dish, top_tilt){
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/* we do some funky math here
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* basically you want to have the dish "dig in" to the keycap x millimeters
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* in order to do that you have to solve a small (2d) system of equations
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* where the chord of the spherical cross section of the dish is
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* the width of the keycap.
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*/
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// the distance you have to move the dish so it digs in dish_depth millimeters
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chord_length = (pow(top_total_key_width, 2) - 4 * pow(dish_depth, 2)) / (8 * dish_depth);
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//the radius of the dish
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rad = (pow(top_total_key_width, 2) + 4 * pow(dish_depth, 2)) / (8 * dish_depth);
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direction = inverted_dish ? -1 : 1;
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rotate([90-top_tilt,0,0]){
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translate([0,chord_length * direction,0]){
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cylinder(h=100,r=rad, $fn=1024, center=true);
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}
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}
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}
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module spherical_dish(top_total_key_width, dish_depth, inverted_dish, top_tilt){
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//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(top_total_key_width,2) + pow(top_total_key_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 dish_depth millimeters
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chord_length = (pow(chord, 2) - 4 * pow(dish_depth, 2)) / (8 * dish_depth);
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//the radius of the dish
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rad = (pow(chord, 2) + 4 * pow(dish_depth, 2)) / (8 * dish_depth);
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direction = inverted_dish ? -1 : 1;
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rotate([-top_tilt,0,0]){
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translate([0,0,chord_length * direction]){
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//NOTE: if your dish is long at all you might need to increase $fn
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sphere(r=rad, $fn=512);
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}
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}
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}
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module sideways_cylindrical_dish(top_total_key_width, dish_depth, inverted_dish, top_tilt){
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chord_length = (pow(top_total_key_height(), 2) - 4 * pow(dish_depth, 2)) / (8 * dish_depth);
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rad = (pow(top_total_key_height(), 2) + 4 * pow(dish_depth, 2)) / (8 * dish_depth);
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direction = inverted_dish ? -1 : 1;
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rotate([90,top_tilt,90]){
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translate([0,chord_length * direction,0]){
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cylinder(h=total_key_width + 20,r=rad, $fn=1024, center=true); // +20 just cuz
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}
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}
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}
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