2 module generators
2 Hilbert basis elements of recession monoid
2 vertices of polyhedron
2 extreme rays of recession cone
3 support hyperplanes of polyhedron

embedding dimension = 3
affine dimension of the polyhedron = 2 (maximal)
rank of recession monoid = 2

size of triangulation   = 2
resulting sum of |det|s = 2

dehomogenization:
0 0 1 


module rank = 1

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2 module generators:
 1 2 1
 2 1 1

2 Hilbert basis elements of recession monoid:
 0 1 0
 1 0 0

2 vertices of polyhedron:
 3 2 2
 2 3 2

2 extreme rays of recession cone:
 1 0 0
 0 1 0

3 support hyperplanes of polyhedron:
  0  1 -1
  2  2 -5
  1  0 -1

