#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### LIBRARY OF TRIANGULATIONS ### ### by Bruno Benedetti and Frank H. Lutz ### ### http://page.math.tu-berlin.de/~lutz/stellar/library_of_triangulations.html ### ### ### ### name of example: ### ### ### ### contractible_non_5_ball_boundary ### ### ### ### ### ### description: ### ### ### ### 4-dimensional boundary of contractible_non_5_ball ### ### ### ### ### ### properties: ### ### ### ### f = (5010,65520,212000,252480,100992), ### ### H_*=(Z,0,0,0,Z), ### ### pi_1= binary icosahedral group, ### ### 4-dimensional homology sphere with non-trivial fundamental group, ### ### admits discrete Morse vector: (1,2,4,2,1), ### ### best known lower bound: (1,2,2,0,1) ### ### ### ### ### ### references: ### ### ### ### Karim A. Adiprasito, Bruno Benedetti, and Frank H. Lutz. ### ### Extremal examples of collapsible complexes ### ### and random discrete Morse theory. ### ### arXiv:1404.4239, 20 pages, 2014. ### ### ### ### ### #################################################################################### #################################################################################### #################################################################################### facets:=[ [ 60, 395, 1738, 4206, 6359 ], [ 60, 395, 1738, 4206, 6361 ], [ 60, 395, 1738, 4209, 6362 ], [ 60, 395, 1738, 4209, 6364 ], [ 60, 395, 1738, 4212, 6359 ], [ 60, 395, 1738, 4212, 6365 ], [ 60, 395, 1738, 4214, 6362 ], [ 60, 395, 1738, 4214, 6365 ], [ 60, 395, 1738, 4216, 6361 ], [ 60, 395, 1738, 4216, 6364 ], [ 60, 395, 1744, 4218, 6367 ], [ 60, 395, 1744, 4218, 6369 ], [ 60, 395, 1744, 4222, 6370 ], [ 60, 395, 1744, 4222, 6372 ], [ 60, 395, 1744, 4224, 6370 ], [ 60, 395, 1744, 4224, 6374 ], [ 60, 395, 1744, 4226, 6367 ], [ 60, 395, 1744, 4226, 6372 ], [ 60, 395, 1744, 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