import graph3;
import three;
size(7.5cm,0);
pen p=black+1;
draw(unithemisphere,white+opacity(0.1));
currentprojection=orthographic((0.866025403785,0.5,0.3));
draw(Arc((0.838098741485,-1.38974341429,1.39056643816e-12),(-0.0443405906033,-0.465028818741,1.39056643816e-12),(0.716772359837,-0.117314175724,1.39056643816e-12),(0,0,1),false),p);
label("$1$",(0.306955850861,-0.227124178349,1.39056643816e-12));
draw(Arc((1.17675559616,0.679400160211,1.39056643816e-12),(0.716772359837,-0.117314175724,1.39056643816e-12),(0.256789123517,0.679400160211,1.39056643816e-12),(0,0,1),false),p);
label("$1$",(0.380041260221,0.219416923892,1.39056643816e-12));
draw(Arc((-0.784503730769,1.42068650815,1.39056643816e-12),(0.256789123517,0.679400160211,1.39056643816e-12),(-0.424897065824,0.19411433149,1.39056643816e-12),(0,0,1),false),p);
label("$1$",(-0.0432173828341,0.379393653861,1.39056643816e-12));
draw(Arc((-1.94712296671,-1.12417196898,1.39056643816e-12),(-0.424897065824,0.19411433149,1.39056643816e-12),(-0.0443405906033,-0.465028818741,1.39056643816e-12),(0,0,1),false),p);
label("$1$",(-0.203194112803,-0.117314175724,1.39056643816e-12));
draw((0.0,-1.29354073752e-14,0.747166359987)--(-0.0443405906033,-0.465028818741,1.39056643816e-12),p);
label("$23\bar2$",(-0.0221702953017,-0.232514409371,0.373583179994),align=right);
draw((0.0,-1.29354073752e-14,0.747166359987)--(0.716772359837,-0.117314175724,7.64207113251e-13),p);
label("$2$",(0.358386179918,-0.0586570878621,0.373583179994),align=right);
draw((0.0,-1.29354073752e-14,0.747166359987)--(0.256789123517,0.679400160211,4.301049284e-13),p);
label("$3$",(0.128394561758,0.339700080106,0.373583179994),align=right);
draw((0.0,-1.29354073752e-14,0.747166359987)--(-0.424897065824,0.19411433149,2.72813940463e-14),p);
label("$\bar323$",(-0.212448532912,0.0970571657449,0.373583179993),align=right);
pen dp = blue+4;
pen dpi = red+4;
dot((0.0,-1.29354073752e-14,0.747166359987),dp);
dot((-0.0443405906033,-0.465028818741,1.39056643816e-12),dp);
dot((0.716772359837,-0.117314175724,7.64207113251e-13),dp);
dot((0.256789123517,0.679400160211,4.301049284e-13),dp);
dot((-0.424897065824,0.19411433149,2.72813940463e-14),dp);
draw((0,0,0)--(0,0,0.747166359987),black+dashed);
draw((0.256789123517,0.679400160211,4.301049284e-13)--(0,0,0),black+dashed);
draw((-0.424897065824,0.19411433149,2.72813940463e-14)--(0,0,0),black+dashed);