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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;
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);
}
}
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);
rotate([0, 0, 240]) rotate([acos(1/3)+180, 0, 0]) rotate([180, 0, 0]) translate([0, 0, r/3]) scale([sc_face, sc_face, 1]) child(3);
}
}
module d6(size=false, side=false) {
l = side ? side : s2s_d6(size);
if (l == false) {
echo("ERROR: d6: one of side or size should be defined");
}
difference() {
intersection() {
cube(l, center=true);
sphere(l*0.79);
}
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);
rotate([-90, 0, 0]) translate([0, 0, l/2]) child(3);
rotate([0, -90, 0]) translate([0, 0, l/2]) child(4);
rotate([180, 0, 0]) translate([0, 0, l/2]) child(5);
}
}
module d8(size=false, side=false) {
l = side ? side : s2s_d8(size);
if (l == false) {
echo("ERROR: d8: 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] ) {
rotate([0, 0, 120*i]) rotate([acos(-1/3), 0, 0]) cube([c, c, i_r*2], center=true);
}
}
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);
rotate([0, 0, -120]) rotate([acos(-1/3)+180, 0, 0]) rotate([0, 0, 240]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(2);
rotate([0, 0, -120]) rotate([acos(-1/3), 0, 0]) rotate([0, 0, 120]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(5);
rotate([0, 0, 120]) rotate([acos(-1/3), 0, 0]) rotate([0, 0, 240]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(1);
rotate([acos(-1/3)+180, 0, 0]) translate([0, 0, i_r])scale([sc_face, sc_face, 1]) child(3);
rotate([180, 0, 0]) translate([0, 0, i_r])scale([sc_face, sc_face, 1]) child(7);
}
}
module d12(size=false, side=false) {
l = side ? side : s2s_d12(size);
if (l == false) {
echo("ERROR: d12: one of side or size should be defined");
}
sc_face = 1.1;
r = l*sqrt(3)*(1+sqrt(5))/4;
c = r*2;
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);
}
}
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);
rotate([0, 0, 144]) rotate([acos(-1/sqrt(5))+180, 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(5);
rotate([0, 0, 216]) rotate([acos(-1/sqrt(5))+180, 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(4);
rotate([0, 0, 288]) rotate([acos(-1/sqrt(5))+180, 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(2);
rotate([acos(-1/sqrt(5)), 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(10);
rotate([0, 0, 72]) rotate([acos(-1/sqrt(5)), 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(8);
rotate([0, 0, 144]) rotate([acos(-1/sqrt(5)), 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(6);
rotate([0, 0, 216]) rotate([acos(-1/sqrt(5)), 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(7);
rotate([0, 0, 288]) rotate([acos(-1/sqrt(5)), 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(9);
rotate([180, 0, 0]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(11);
}
}
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");
}
sc_face = 0.5;
r = l*sqrt(10+2*sqrt(5))/4;
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);
mirror([1, 0, 0]) rotate([0, acos(1/sqrt(3)), -45]) cube([c, c, i_r*2], center=true);
mirror([0, 1, 0]) rotate([0, acos(1/sqrt(3)), -45]) cube([c, c, i_r*2], center=true);
mirror([0, 1, 0]) mirror([1, 0, 0]) rotate([0, acos(1/sqrt(3)), -45]) cube([c, c, i_r*2], center=true);
rotate([90, 0, 0]) rotate([0, acos((sqrt(5)+1)/(2*sqrt(3))), 90]) cube([c, c, i_r*2], center=true);
mirror([0, 0, 1]) rotate([90, 0, 0]) rotate([0, acos((sqrt(5)+1)/(2*sqrt(3))), 90]) cube([c, c, i_r*2], center=true);
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);
}
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);
mirror([1, 0, 0]) rotate([0, acos((-(1+sqrt(5)))/(2*sqrt(3))), 0]) translate([0, 0, i_r]) mirror([0, 1, 0]) rotate([0, 0, 90]) scale([sc_face, sc_face, 1]) child(12);
mirror([1, 0, 0]) rotate([180, acos((-(1+sqrt(5)))/(2*sqrt(3))), 0]) translate([0, 0, i_r]) mirror([0, 1, 0]) rotate([0, 0, 90]) scale([sc_face, sc_face, 1]) child(7);
rotate([0, acos(1/sqrt(3)), -45]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(9);
rotate([180, acos(1/sqrt(3)), -45]) translate([0, 0, i_r]) scale([sc_face, sc_face, 1]) child(10);
mirror([1, 0, 0]) rotate([0, acos(1/sqrt(3)), -45]) translate([0, 0, i_r]) mirror([1, 0, 0]) scale([sc_face, sc_face, 1]) child(1);
mirror([1, 0, 0]) rotate([180, acos(1/sqrt(3)), -45]) translate([0, 0, i_r]) mirror([1, 0, 0]) scale([sc_face, sc_face, 1]) child(18);
mirror([0, 1, 0]) rotate([0, acos(1/sqrt(3)), -45]) translate([0, 0, i_r]) mirror([0, 1, 0]) rotate([0, 0, 180]) scale([sc_face, sc_face, 1]) child(15);
mirror([0, 1, 0]) rotate([180, acos(1/sqrt(3)), -45]) translate([0, 0, i_r]) mirror([0, 1, 0]) rotate([0, 0, 180]) scale([sc_face, sc_face, 1]) child(4);
mirror([0, 1, 0]) mirror([1, 0, 0]) rotate([0, acos(1/sqrt(3)), -45]) translate([0, 0, i_r]) mirror([0, 1, 0]) mirror([0, 1, 0]) scale([sc_face, sc_face, 1]) child(13);
mirror([0, 1, 0]) mirror([1, 0, 0]) rotate([180, acos(1/sqrt(3)), -45]) translate([0, 0, i_r]) mirror([0, 1, 0]) mirror([0, 1, 0]) scale([sc_face, sc_face, 1]) child(6);
rotate([90, 0, 0]) rotate([0, acos((sqrt(5)+1)/(2*sqrt(3))), 90]) translate([0, 0, i_r]) rotate([0, 0, 270]) scale([sc_face, sc_face, 1]) child(11);
rotate([270, 0, 0]) rotate([0, acos((sqrt(5)+1)/(2*sqrt(3))), 90]) translate([0, 0, i_r]) rotate([0, 0, 270]) scale([sc_face, sc_face, 1]) child(8);
mirror([0, 0, 1]) rotate([90, 0, 0]) rotate([0, acos((sqrt(5)+1)/(2*sqrt(3))), 90]) translate([0, 0, i_r]) mirror([1, 0, 0]) rotate([0, 0, 90]) scale([sc_face, sc_face, 1]) child(14);
mirror([0, 0, 1]) rotate([270, 0, 0]) rotate([0, acos((sqrt(5)+1)/(2*sqrt(3))), 90]) translate([0, 0, i_r]) mirror([1, 0, 0]) rotate([0, 0, 90]) scale([sc_face, sc_face, 1]) child(5);
rotate([0, 90, atan((-sqrt(5)+1)/(sqrt(5)+1))]) translate([0, 0, i_r]) rotate([0, 0, 180]) scale([sc_face, sc_face, 1]) child(16);
rotate([180, 90, atan((-sqrt(5)+1)/(sqrt(5)+1))]) translate([0, 0, i_r]) rotate([0, 0, 180]) scale([sc_face, sc_face, 1]) child(3);
mirror([0, 1, 0]) rotate([0, 90, atan((-sqrt(5)+1)/(sqrt(5)+1))]) translate([0, 0, i_r]) mirror([0, 1, 0]) scale([sc_face, sc_face, 1]) child(2);
mirror([0, 1, 0]) rotate([180, 90, atan((-sqrt(5)+1)/(sqrt(5)+1))]) translate([0, 0, i_r]) mirror([0, 1, 0]) scale([sc_face, sc_face, 1]) child(17);
}
}
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