1  module spherical_dish(width, height, depth, inverted){
 2  
 3    //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
 4    chord = pow((pow(width,2) + pow(height, 2)),0.5); //getting diagonal of the top
 5  
 6    // the distance you have to move the dish up so it digs in depth millimeters
 7    chord_length = (pow(chord, 2) - 4 * pow(depth, 2)) / (8 * depth);
 8    //the radius of the dish
 9    rad = (pow(chord, 2) + 4 * pow(depth, 2)) / (8 * depth);
10    direction = inverted ? -1 : 1;
11  
12    translate([0,0,0 * direction]){
13      if (geodesic){
14        $fa=20;
15        scale([chord/2/depth, chord/2/depth]) {
16          geodesic_sphere(r=depth);
17        }
18      } else {
19        $fa=6.5;
20        // rotate 1 because the bottom of the sphere looks like trash.
21        scale([chord/2/depth, chord/2/depth]) {
22          sphere(r=depth);
23        }
24      }
25    }
26  }