#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### 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: ### ### ### ### non_PL ### ### ### ### ### ### description: ### ### ### ### non-PL triangulation of the 5-dimensional sphere ### ### obtained as the double one-point suspension ### ### of the Poincaré homology 3-sphere poincare with 16 vertices ### ### ### ### ### ### properties: ### ### ### ### f=(18,139,503,904,783,261), ### ### H_*=(Z,0,0,0,0,Z), ### ### admits discrete Morse vector: (1,0,0,2,2,1), ### ### best known lower bound: (1,0,0,0,0,1) ### ### ### ### ### ### references: ### ### ### ### A. Björner and F. H. Lutz. ### ### Simplicial manifolds, bistellar flips and a 16-vertex ### ### triangulation of the Poincaré homology 3-sphere. ### ### Exp. Math. 9, 275-289 (2000). ### ### ### ### A. Björner and F. H. Lutz. ### ### A 16-vertex triangulation of the Poincaré homology 3-sphere ### ### and non-PL spheres with few vertices. ### ### Electronic Geometry Models No. 2003.04.001 (2003). ### ### http://www.eg-models.de/2003.04.001. ### ### ### ### B. Benedetti and F. H. Lutz. ### ### Random discrete Morse theory and a new library of triangulations. ### ### Exp. 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