A3

# point representatives from each cell, grouped by Weyl face

face   {1, 2}
                                       0

face   {2}
[1, 0, 1]   {}   {1}   {6}
                                       q

face   {1}
[0, 1, 0]   {}   {2}   {}
                                       q

face   {}
[5/4, 5/4, 5/4]   {}   {}   {1, 2}
[1, 5/4, 1]   {}   {1}   {2}
[0, 5/4, 0]   {1}   {}   {2}
[5/4, 1, 5/4]   {}   {2}   {1}
[5/4, 0, 5/4]   {2}   {}   {1}
[1, 1, 1]   {}   {1, 2}   {4}
[1/4, 1, 1/4]   {1}   {2}   {4}
[1, 1/4, 1]   {2}   {1}   {4}
[1/2, 3/4, 1/2]   {1, 2}   {}   {4}
[1/4, 3/4, 1/4]   {1, 2}   {4}   {6}
[1/2, 1/4, 1/2]   {4}   {}   {6}
[1/4, 1/2, 1/4]   {4}   {6}   {}
[0, 0, 0]   {6}   {}   {}
                                             2
                                  6 + 6 q + q