import graph3;
import three;
size(7.5cm,0);
pen p=black+1;
draw(unithemisphere,white+opacity(0.1));
currentprojection=orthographic((0.707106781187,0.707106781187,0.3));
draw(Arc((0.123146428876,-0.6456124785,0.956145157585),(-0.102017841997,-0.102017841997,0.956145157585),(0.0920577306237,-0.0580517832915,0.956145157585),(0,0,1),false),p);
draw(Arc((1.43549997275,1.43549997275,0.956145157585),(0.0920577306237,-0.0580517832915,0.956145157585),(-0.0580517832915,0.0920577306237,0.956145157585),(0,0,1),false),p);
draw(Arc((-0.645612478499,0.123146428876,0.956145157585),(-0.0580517832915,0.0920577306237,0.956145157585),(-0.102017841997,-0.102017841997,0.956145157585),(0,0,1),false),p);
draw(Arc((0.123146428876,-1.73280175151,2.28644504552e-15),(-0.420448207627,-0.420448207627,2.28644504552e-15),(0.666741065379,-0.420448207627,2.28644504552e-15),(0,0,1),false),p);
label("$1$",(0.123146428876,-0.312320511585,2.28644504552e-15));
draw(Arc((3.29144815314,3.29144815314,2.28644504552e-15),(0.666741065379,-0.420448207627,2.28644504552e-15),(-0.420448207627,0.666741065379,2.28644504552e-15),(0,0,1),false),p);
label("$1$",(0.0768516085005,0.0768516085005,2.28644504552e-15));
draw(Arc((-1.73280175151,0.123146428876,2.28644504552e-15),(-0.420448207627,0.666741065379,2.28644504552e-15),(-0.420448207627,-0.420448207627,2.28644504552e-15),(0,0,1),false),p);
label("$1$",(-0.312320511585,0.123146428876,2.28644504552e-15));
draw((-0.420448207627,-0.420448207627,2.28644504552e-15)--(-0.420448207627,-0.420448207627,0.676096724727),p);
draw((-0.420448207627,-0.420448207627,0.676096724727)--(-0.102017841997,-0.102017841997,0.956145157585),p);
label("$23\bar2$",(-0.261233024812,-0.261233024812,0.816120941156),align=right);
draw((0.666741065379,-0.420448207627,1.27240007314e-14)--(0.666741065379,-0.420448207627,0.396048291869),p);
draw((0.666741065379,-0.420448207627,0.396048291869)--(0.0920577306237,-0.0580517832915,0.956145157585),p);
label("$2$",(0.379399398001,-0.239249995459,0.676096724727),align=right);
draw((-0.420448207627,0.666741065379,2.08553977081e-14)--(-0.420448207627,0.666741065379,0.396048291869),p);
draw((-0.420448207627,0.666741065379,0.396048291869)--(-0.0580517832915,0.0920577306237,0.956145157585),p);
label("$3$",(-0.239249995459,0.379399398001,0.676096724727),align=right);
pen dp = blue+4;
pen dpi = red+4;
dot((-0.102017841997,-0.102017841997,0.956145157585),dp);
dot((0.0920577306237,-0.0580517832915,0.956145157585),dp);
dot((-0.0580517832915,0.0920577306237,0.956145157585),dp);
dot((-0.420448207627,-0.420448207627,2.28644504552e-15),dp);
dot((0.666741065379,-0.420448207627,1.27240007314e-14),dp);
dot((-0.420448207627,0.666741065379,2.08553977081e-14),dp);
dot((-0.420448207627,-0.420448207627,0.676096724727),dp);
dot((0.666741065379,-0.420448207627,0.396048291869),dp);
dot((-0.420448207627,0.666741065379,0.396048291869),dp);