import graph3;
import three;
size(7.5cm,0);
pen p=black+1;
draw(unithemisphere,white+opacity(0.1));
currentprojection=orthographic((0.866025403784,0.5,0.3));
draw(Arc((-1.1774002051,-0.679772325362,-2.06071945349e-12),(-0.555892970248,8.85747835271e-13,-2.06071945349e-12),(-0.277946485123,-0.481417434021,-2.06071945349e-12),(0,0,1),false),p);
label("$2\bar3\bar2123\bar2$",(-0.379734082607,-0.219239574814,-2.06071945349e-12));
draw(Arc((2.82599815073e-12,-1.35954465072,-2.06071945349e-12),(-0.277946485123,-0.481417434021,-2.06071945349e-12),(0.277946485128,-0.481417434021,-2.06071945349e-12),(0,0,1),false),p);
label("$2\bar3\bar2123\bar2$",(2.99015584622e-12,-0.438479149628,-2.06071945349e-12));
draw(Arc((1.1774002051,-0.679772325354,-2.06071945349e-12),(0.277946485128,-0.481417434021,-2.06071945349e-12),(0.555892970253,8.37292060301e-13,-2.06071945349e-12),(0,0,1),false),p);
label("$2\bar3\bar2123\bar2$",(0.379734082611,-0.219239574814,-2.06071945349e-12));
draw(Arc((1.1774002051,0.679772325359,-2.06071945349e-12),(0.555892970253,8.37292060301e-13,-2.06071945349e-12),(0.277946485126,0.481417434022,-2.06071945349e-12),(0,0,1),false),p);
label("$2\bar3\bar2123\bar2$",(0.37973408261,0.219239574815,-2.06071945349e-12));
draw(Arc((2.51568596389e-12,1.35954465072,-2.06071945349e-12),(0.277946485126,0.481417434022,-2.06071945349e-12),(-0.277946485123,0.481417434023,-2.06071945349e-12),(0,0,1),false),p);
label("$2\bar3\bar2123\bar2$",(1.58649009375e-12,0.43847914963,-2.06071945349e-12));
draw(Arc((-1.1774002051,0.679772325362,-2.06071945349e-12),(-0.277946485123,0.481417434023,-2.06071945349e-12),(-0.555892970248,8.85747835271e-13,-2.06071945349e-12),(0,0,1),false),p);
label("$2\bar3\bar2123\bar2$",(-0.379734082607,0.219239574816,-2.06071945349e-12));
draw((2.24554848571e-12,-3.79844022455e-13,0.485868271755)--(-0.555892970248,8.85747835271e-13,-2.06071945349e-12),p);
draw((2.24554848571e-12,-3.79844022455e-13,0.485868271755)--(-0.277946485123,-0.481417434021,-2.06071945349e-12),p);
draw((2.24554848571e-12,-3.79844022455e-13,0.485868271755)--(0.277946485128,-0.481417434021,-1.71232404542e-12),p);
label("$1\bar323\bar1$",(0.138973242565,-0.240708717011,0.242934135877),align=right);
draw((2.24554848571e-12,-3.79844022455e-13,0.485868271755)--(0.555892970253,8.37292060301e-13,-1.35119988965e-12),p);
label("$23\bar2$",(0.277946485127,0,0.242934135877),align=right);
draw((2.24554848571e-12,-3.79844022455e-13,0.485868271755)--(0.277946485126,0.481417434022,5.68208514746e-13),p);
draw((2.24554848571e-12,-3.79844022455e-13,0.485868271755)--(-0.277946485123,0.481417434023,2.27642015382e-13),p);
pen dp = blue+4;
pen dpi = red+4;
dot((2.24554848571e-12,-3.79844022455e-13,0.485868271755),dp);
dot((-0.555892970248,8.85747835271e-13,-2.06071945349e-12),dp);
dot((-0.277946485123,-0.481417434021,-2.06071945349e-12),dp);
dot((0.277946485128,-0.481417434021,-1.71232404542e-12),dp);
dot((0.555892970253,8.37292060301e-13,-1.35119988965e-12),dp);
dot((0.277946485126,0.481417434022,5.68208514746e-13),dp);
dot((-0.277946485123,0.481417434023,2.27642015382e-13),dp);
draw((0,0,0)--(0,0,0.485868271755),black+dashed);
draw((0.555892970253,8.37292060301e-13,-1.35119988965e-12)--(0,0,0),black+dashed);
draw((0.277946485126,0.481417434022,5.68208514746e-13)--(0,0,0),black+dashed);