#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### 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: ### ### ### ### rand2_n25_p0.328 ### ### ### ### ### ### description: ### ### ### ### random 2-dimensional simplicial complex with 25 vertices ### ### and 751 triangles, picked with probability 0.328 ### ### ### ### ### ### properties: ### ### ### ### f=(25,300,751), ### ### H_*=(Z,0,Z^475), ### ### simply connected, ### ### perfect discrete Morse vector: (1,0,475) ### ### ### ### ### ### references: ### ### ### ### N. Linial and R. Meshulam. ### ### Homological connectivity of random 2-complexes. ### ### Combinatorica 26, 475-487 (2006). ### ### ### ### E. Babson, C. Hoffman, and M. Kahle. ### ### The fundamental group of random 2-complexes. ### ### J. Am. Math. Soc. 24, 1-28 (2010). ### ### ### ### B. Benedetti and F. H. Lutz. ### ### Random discrete Morse theory and a new library of triangulations. ### ### Exp. 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