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examples/soccer_polyhedron/soccer_polyhedron.scad

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+module soccer_polyhedron(circumradius, spacing, jigsaw_base = false, half = false) {
+    tau = 1.618034;
+    a = -37.377368;
+    scale_f = 0.201774;
+    
+    s = scale_f * spacing / 2;
+    
+    module pentagonal_pyramid() {
+        pentagon_r = 1.701302;
+        pentagon_h = 4.654877;
+        
+        convex_r = pentagon_r / 5 - s / 2;
+
+        r_off = s / 0.759856;
+        h_off = s / 0.343279;
+
+        color("black")
+        translate([0, 0, -pentagon_h])
+        linear_extrude(pentagon_h - h_off, scale = 0.001) 
+        rotate(-36) {
+            circle(pentagon_r - r_off, $fn = 5);
+            if(jigsaw_base) {
+                for(i = [0:4]) {
+                    rotate(36 + i * 72)
+                    translate([pentagon_r - r_off - convex_r / 2, 0, 0]) 
+                        circle(convex_r, $fn = 36);
+                }
+            }
+        }
+    }
+    
+    module hexagonal_pyramid() {
+        hexagon_r = 2;
+        hexagon_h = 4.534568;
+        pentagon_r = 1.701302;
+        concave_r = pentagon_r / 5 + s / 2;
+
+        r_off = s / 0.792377;
+        h_off = s /  0.403548;
+
+        color("white")
+        translate([0, 0, -hexagon_h])
+        linear_extrude(hexagon_h - h_off, scale = 0.001) 
+        rotate(-30) {
+            difference() {
+                circle(hexagon_r - r_off, $fn = 6); 
+                if(jigsaw_base) {
+                    for(i = [0:2]) {
+                        rotate(90 + i * 120)
+                        translate([hexagon_r - r_off - concave_r, 0, 0]) 
+                            circle(concave_r, $fn = 36);
+                    }   
+                }   
+            }
+        }
+    }
+
+    module one_component_around_pentagonal_pyramid() {
+        mirror([1, 0, 0]) 
+        rotate([0, -a, 60]) {
+            pentagonal_pyramid();
+            for(i = [0:1]) {
+                rotate([0, a, 72 * i])
+                    hexagonal_pyramid(); 
+            }    
+        }    
+    }
+    
+    module half_soccer_polyhedron() {
+        pentagonal_pyramid();
+        for(i = [0:4]) {
+            rotate([0, a, 72 * i])
+                one_component_around_pentagonal_pyramid(); 
+        }       
+    }
+
+    scale(scale_f * circumradius) {
+        half_soccer_polyhedron();
+        if(!half) {
+            rotate(36)
+            mirror([0, 0, 1])
+                half_soccer_polyhedron();    
+        }
+    }
+}
+
+soccer_polyhedron(30, 1);
+%sphere(30, $fn = 48);