Split library into polyhedra + faces

1 files changed, 110 insertions, 52 deletions

diff --git a/lib/dice.scad b/lib/dice.scad
index b14d315..58d00e8 100644
--- a/lib/dice.scad
+++ b/lib/dice.scad
@@ -1,22 +1,19 @@
 use <utils.scad>
 
-module d4(size=false, side=false) {
-    l = side ? side : s2s_d4(size);
-    if (l == false) {
-        echo("ERROR: d4: one of side or size should be defined");
-    }
-    sc_face = 0.6;
-    r = sqrt(6)/4*l;
+// Tetrahedron inscribed in a sphere of radius r
+module tetrahedron(r) {
     c = r*2;
-    difference() {
-        intersection() {
-            sphere(r=r*0.79, $fn=64);
-            translate([0, 0, r-r/3]) cube(c, center=true);
-            intersection_for ( i = [0:2] ) {
-                rotate([0, 0, 120*i]) rotate([acos(1/3)+180, 0, 0]) 
-                    translate([0, 0, r-r/3]) cube(c, center=true);
-            }
+    intersection() {
+        translate([0, 0, r-r/3]) cube(c, center=true);
+        intersection_for ( i = [0:2] ) {
+            rotate([0, 0, 120*i]) rotate([acos(1/3)+180, 0, 0])
+                translate([0, 0, r-r/3]) cube(c, center=true);
         }
+    }
+}
+
+module tetrahedron_faces(r, sc_face=0.6) {
+    union() {
         rotate([180, 0, 180]) translate([0, 0, r/3]) scale([sc_face, sc_face, 1]) child(0);
         rotate([acos(1/3)+180, 0, 0]) rotate([180, 0, 0]) translate([0, 0, r/3]) scale([sc_face, sc_face, 1]) child(1);
         rotate([0, 0, 120]) rotate([acos(1/3)+180, 0, 0]) rotate([180, 0, 0]) translate([0, 0, r/3]) scale([sc_face, sc_face, 1]) child(2);
@@ -24,16 +21,22 @@ module d4(size=false, side=false) {
     }
 }
 
-module d6(size=false, side=false) {
-    l = side ? side : s2s_d6(size);
+module d4(size=false, side=false) {
+    l = side ? side : s2s_d4(size);
     if (l == false) {
-        echo("ERROR: d6: one of side or size should be defined");
+        echo("ERROR: d4: one of side or size should be defined");
     }
+    r = sqrt(6)/4*l;
     difference() {
         intersection() {
-            cube(l, center=true);
-            sphere(l*0.79);
+            sphere(r=r*0.79, $fn=64);
+            tetrahedron(r);
         }
+    }
+}
+
+module cube_faces(l) {
+    union() {
         translate([0, 0, l/2]) child(0);
         rotate([90, 0, 0]) translate([0, 0, l/2]) child(1);
         rotate([0, 90, 0]) translate([0, 0, l/2]) child(2);
@@ -43,24 +46,35 @@ module d6(size=false, side=false) {
     }
 }
 
-module d8(size=false, side=false) {
-    l = side ? side : s2s_d8(size);
+module d6(size=false, side=false) {
+    l = side ? side : s2s_d6(size);
     if (l == false) {
-        echo("ERROR: d8: one of side or size should be defined");
+        echo("ERROR: d6: one of side or size should be defined");
     }
-    sc_face = 0.6;
-    r = sqrt(2)/2*l;
-    c = r*2;
-    i_r = sqrt(6)/6*l;
     difference() {
         intersection() {
-            sphere(r*0.86, $fn=64);
-            cube([c, c, i_r*2], center=true);
-            intersection_for ( i = [0:2] ) {
+            cube(l, center=true);
+            sphere(l*0.79);
+        }
+    }
+}
 
-                rotate([0, 0, 120*i]) rotate([acos(-1/3), 0, 0]) cube([c, c, i_r*2], center=true);
-            }
+// Octahedron inscribed in a sphere of radius r
+module octahedron(r) {
+    c = r*2;
+    i_r = r / sqrt(3);
+    intersection() {
+        cube([c, c, i_r*2], center=true);
+        intersection_for ( i = [0:2] ) {
+            rotate([0, 0, 120*i]) rotate([acos(-1/3), 0, 0]) cube([c, c, i_r*2], center=true);
         }
+    }
+}
+
+module octahedron_faces(r, sc_face=0.6) {
+    c = r*2;
+    i_r = r / sqrt(3);
+    union() {
         translate([0, 0, i_r]) rotate([0, 0, 180]) scale([sc_face, sc_face, 1]) child(0);
         rotate([acos(-1/3), 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(4);
         rotate([0, 0, 120]) rotate([acos(-1/3)+180, 0, 0]) translate([0, 0, i_r]) rotate([0, 0, 120]) scale([sc_face, sc_face, 1]) child(6);
@@ -72,24 +86,37 @@ module d8(size=false, side=false) {
     }
 }
 
-module d12(size=false, side=false) {
-    l = side ? side : s2s_d12(size);
+module d8(size=false, side=false) {
+    l = side ? side : s2s_d8(size);
     if (l == false) {
-        echo("ERROR: d12: one of side or size should be defined");
+        echo("ERROR: d8: one of side or size should be defined");
     }
-    sc_face = 1.1;
-    r = l*sqrt(3)*(1+sqrt(5))/4;
+    r = sqrt(2)/2*l;
+    intersection() {
+        sphere(r*0.86, $fn=64);
+        octahedron(r);
+    }
+}
+
+// Dodecahedron inscribed in a sphere of radius r
+module dodecahedron(r) {
     c = r*2;
+    l = r * 4 / (sqrt(3) * (1+sqrt(5)));
     i_r = (l/2)*sqrt(5/2 + 11*sqrt(5)/10);
-    difference() {
-        intersection() {
-            sphere(r*0.96, $fn=64);
-            cube([c, c, i_r*2], center=true);
-            intersection_for ( i = [0:4] ) {
-
-                rotate([0, 0, 72*i]) rotate([acos(-1/sqrt(5)), 0, 0]) cube([c, c, i_r*2], center=true);
-            }
+    intersection() {
+        cube([c, c, i_r*2], center=true);
+        intersection_for ( i = [0:4] ) {
+            rotate([0, 0, 72*i]) rotate([acos(-1/sqrt(5)), 0, 0]) cube([c, c, i_r*2], center=true);
         }
+    }
+}
+
+module dodecahedron_faces(r, sc_face=1.1) {
+    c = r*2;
+    l = r * 4 / (sqrt(3) * (1+sqrt(5)));
+    echo(l);
+    i_r = (l/2)*sqrt(5/2 + 11*sqrt(5)/10);
+    union() {
         translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(0);
         rotate([acos(-1/sqrt(5))+180, 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(1);
         rotate([0, 0, 72]) rotate([acos(-1/sqrt(5))+180, 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(3);
@@ -106,21 +133,28 @@ module d12(size=false, side=false) {
     }
 }
 
-module d20(size=false, side=false) {
-    l = side ? side : s2s_d20(size);
+module d12(size=false, side=false) {
+    l = side ? side : s2s_d12(size);
     if (l == false) {
-        echo("ERROR: d20: one of side or size should be defined");
+        echo("ERROR: d12: one of side or size should be defined");
     }
-    sc_face = 0.5;
-    r = l*sqrt(10+2*sqrt(5))/4;
+    r = l*sqrt(3)*(1+sqrt(5))/4;
+    intersection() {
+        sphere(r*0.96, $fn=64);
+        dodecahedron(r);
+    }
+}
+
+module icosahedron(r) {
+    l = r*4/(sqrt(10+2*sqrt(5)));
+    echo(r);
+    echo(l);
     c = r*2;
     i_r = (l/12)*sqrt(3)*(3+sqrt(5));
     a_b2 = atan(1/2) + acos(-sqrt(5)/3)/2;
     phi = (1+sqrt(5))/2;
     rotate([0, -acos((-(1+sqrt(5)))/(2*sqrt(3))), 0]) 
-    difference() {
         intersection() {
-            sphere(r*0.96, $fn=64);
             rotate([0, acos((-(1+sqrt(5)))/(2*sqrt(3))), 0]) cube([c, c, i_r*2], center=true);
             mirror([1, 0, 0]) rotate([0, acos((-(1+sqrt(5)))/(2*sqrt(3))), 0]) cube([c, c, i_r*2], center=true);
             rotate([0, acos(1/sqrt(3)), -45]) cube([c, c, i_r*2], center=true);
@@ -132,6 +166,18 @@ module d20(size=false, side=false) {
             rotate([0, 90, atan((-sqrt(5)+1)/(sqrt(5)+1))]) cube([c, c, i_r*2], center=true);
             mirror([0, 1, 0]) rotate([0, 90, atan((-sqrt(5)+1)/(sqrt(5)+1))]) cube([c, c, i_r*2], center=true);
         }
+}
+
+module icosahedron_faces(r, sc_face=0.5) {
+    l = r*4/(sqrt(10+2*sqrt(5)));
+    echo(r);
+    echo(l);
+    c = r*2;
+    i_r = (l/12)*sqrt(3)*(3+sqrt(5));
+    a_b2 = atan(1/2) + acos(-sqrt(5)/3)/2;
+    phi = (1+sqrt(5))/2;
+    rotate([0, -acos((-(1+sqrt(5)))/(2*sqrt(3))), 0])
+    union() {
         rotate([0, acos((-(1+sqrt(5)))/(2*sqrt(3))), 0]) translate([0, 0, i_r]) rotate([0, 0, 90]) scale([sc_face, sc_face, 1]) child(0);
         rotate([180, acos((-(1+sqrt(5)))/(2*sqrt(3))), 0]) translate([0, 0, i_r]) rotate([0, 0, 270]) scale([sc_face, sc_face, 1]) child(19);
 
@@ -164,3 +210,15 @@ module d20(size=false, side=false) {
     }
 }
 
+module d20(size=false, side=false) {
+    l = side ? side : s2s_d20(size);
+    if (l == false) {
+        echo("ERROR: d20: one of side or size should be defined");
+    }
+    r = l*sqrt(10+2*sqrt(5))/4;
+    intersection() {
+        sphere(r*0.96, $fn=64);
+        icosahedron(r);
+    }
+}
+