********************* renumbering for (simplex, 1)
codim 0
   0 -> 0   
codim 1
   0 -> 0   
   1 -> 1   
********************* renumbering for (simplex, 2)
codim 0
   0 -> 0   
codim 1
   0 -> 2   x
   1 -> 1   
   2 -> 0   x
codim 2
   0 -> 0   
   1 -> 1   
   2 -> 2   
********************* renumbering for (simplex, 3)
codim 0
   0 -> 0   
codim 1
   0 -> 3   x
   1 -> 2   x
   2 -> 1   x
   3 -> 0   x
codim 2
   0 -> 0   
   1 -> 2   x
   2 -> 1   x
   3 -> 3   
   4 -> 4   
   5 -> 5   
codim 3
   0 -> 0   
   1 -> 1   
   2 -> 2   
   3 -> 3   
********************* renumbering for (cube, 1)
codim 0
   0 -> 0   
codim 1
   0 -> 0   
   1 -> 1   
********************* renumbering for (cube, 2)
codim 0
   0 -> 0   
codim 1
   0 -> 0   
   1 -> 1   
   2 -> 2   
   3 -> 3   
codim 2
   0 -> 0   
   1 -> 1   
   2 -> 2   
   3 -> 3   
********************* renumbering for (cube, 3)
codim 0
   0 -> 0   
codim 1
   0 -> 0   
   1 -> 1   
   2 -> 2   
   3 -> 3   
   4 -> 4   
   5 -> 5   
codim 2
   0 -> 0   
   1 -> 1   
   2 -> 2   
   3 -> 3   
   4 -> 4   
   5 -> 5   
   6 -> 8   x
   7 -> 9   x
   8 -> 6   x
   9 -> 7   x
   10 -> 10   
   11 -> 11   
codim 3
   0 -> 0   
   1 -> 1   
   2 -> 2   
   3 -> 3   
   4 -> 4   
   5 -> 5   
   6 -> 6   
   7 -> 7   
********************* renumbering for prism
codim 0
   0 -> 0   
codim 1
   0 -> 3   x
   1 -> 0   x
   2 -> 2   
   3 -> 1   x
   4 -> 4   
codim 2
   0 -> 3   x
   1 -> 5   x
   2 -> 4   x
   3 -> 0   x
   4 -> 1   x
   5 -> 2   x
   6 -> 6   
   7 -> 8   x
   8 -> 7   x
codim 3
   0 -> 0   
   1 -> 1   
   2 -> 2   
   3 -> 3   
   4 -> 4   
   5 -> 5   
********************* renumbering for pyramid
codim 0
   0 -> 0   
codim 1
   0 -> 0   
   1 -> 3   x
   2 -> 2   
   3 -> 4   x
   4 -> 1   x
codim 2
   0 -> 2   x
   1 -> 1   
   2 -> 3   x
   3 -> 0   x
   4 -> 4   
   5 -> 5   
   6 -> 7   x
   7 -> 6   x
codim 3
   0 -> 0   
   1 -> 1   
   2 -> 3   x
   3 -> 2   x
   4 -> 4   

