#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### 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: ### ### ### ### _HP2 ### ### ### ### ### ### description: ### ### ### ### 15-vertex triangulation of an 8-manifold ### ### 'like' a quaternionic projective plane ### ### ### ### ### ### properties: ### ### ### ### f=(15,105,455,1365,3003,4515,4230,2205,490), ### ### H_*=(Z,0,0,0,Z,0,0,0,Z), ### ### perfect discrete Morse vector: (1,0,0,0,1,0,0,0,1) ### ### ### ### ### ### references: ### ### ### ### U. Brehm and W. Kühnel. ### ### 15-vertex triangulations of an 8-manifold. ### ### Math. Ann. 294, 167-193 (1992). ### ### ### ### B. Benedetti and F. H. Lutz. ### ### Random discrete Morse theory and a new library of triangulations. ### ### Exp. Math. 23, 66-94 (2014). ### ### ### ### ### #################################################################################### #################################################################################### #################################################################################### facets:=[ [ 1, 2, 3, 4, 5, 6, 7, 8, 12 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 13 ], [ 1, 2, 3, 4, 5, 6, 7, 12, 14 ], [ 1, 2, 3, 4, 5, 6, 7, 13, 15 ], [ 1, 2, 3, 4, 5, 6, 7, 14, 15 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 12 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 13 ], [ 1, 2, 3, 4, 5, 6, 9, 12, 14 ], [ 1, 2, 3, 4, 5, 6, 9, 13, 15 ], [ 1, 2, 3, 4, 5, 6, 9, 14, 15 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 12 ], [ 1, 2, 3, 4, 5, 7, 8, 11, 13 ], [ 1, 2, 3, 4, 5, 7, 10, 11, 13 ], [ 1, 2, 3, 4, 5, 7, 10, 12, 14 ], [ 1, 2, 3, 4, 5, 7, 10, 13, 15 ], [ 1, 2, 3, 4, 5, 7, 10, 14, 15 ], [ 1, 2, 3, 4, 5, 8, 9, 12, 13 ], [ 1, 2, 3, 4, 5, 8, 10, 11, 13 ], [ 1, 2, 3, 4, 5, 8, 10, 12, 13 ], [ 1, 2, 3, 4, 5, 9, 10, 13, 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