# Frank H. Lutz. Small examples of non-constructible simplicial balls 
# and spheres. SIAM J. Discrete Math. 18, 103-109 (2004).

non_shellable_3_sphere=[ [ 1, 2, 6, 9 ], [ 1, 2, 6, 12 ], [ 1, 2, 9, 12 ], [ 1, 3, 5, 8 ], 
  [ 1, 3, 5, 11 ], [ 1, 3, 8, 11 ], [ 1, 5, 8, 10 ], [ 1, 5, 10, 11 ], 
  [ 1, 6, 7, 9 ], [ 1, 6, 7, 12 ], [ 1, 7, 8, 10 ], [ 1, 7, 8, 11 ], 
  [ 1, 7, 9, 13 ], [ 1, 7, 10, 12 ], [ 1, 7, 11, 13 ], [ 1, 9, 10, 12 ], 
  [ 1, 9, 10, 13 ], [ 1, 10, 11, 13 ], [ 2, 3, 4, 7 ], [ 2, 3, 4, 10 ], 
  [ 2, 3, 7, 10 ], [ 2, 4, 5, 7 ], [ 2, 4, 5, 10 ], [ 2, 5, 7, 13 ], 
  [ 2, 5, 8, 10 ], [ 2, 5, 8, 13 ], [ 2, 6, 9, 11 ], [ 2, 6, 11, 13 ], 
  [ 2, 6, 12, 13 ], [ 2, 7, 8, 10 ], [ 2, 7, 8, 11 ], [ 2, 7, 11, 13 ], 
  [ 2, 8, 9, 11 ], [ 2, 8, 9, 12 ], [ 2, 8, 12, 13 ], [ 3, 4, 6, 7 ], 
  [ 3, 4, 6, 10 ], [ 3, 5, 8, 13 ], [ 3, 5, 9, 11 ], [ 3, 5, 9, 13 ], 
  [ 3, 6, 7, 12 ], [ 3, 6, 10, 13 ], [ 3, 6, 12, 13 ], [ 3, 7, 10, 12 ], 
  [ 3, 8, 9, 11 ], [ 3, 8, 9, 12 ], [ 3, 8, 12, 13 ], [ 3, 9, 10, 12 ], 
  [ 3, 9, 10, 13 ], [ 4, 5, 6, 7 ], [ 4, 5, 6, 10 ], [ 5, 6, 7, 9 ], 
  [ 5, 6, 9, 11 ], [ 5, 6, 10, 11 ], [ 5, 7, 9, 13 ], [ 6, 10, 11, 13 ] ]