#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### TRIANGULATIONS OF AKBULUT-KIRBY SPHERES ### ### by Frank H. Lutz and Mimi Tsuruga ### ### http://matsguru.com/research/AKspheres.html ### ### ### ### name of example: ### ### ### ### AK_I_017 ### ### ### ### ### ### description: ### ### ### ### Type 1 construction of triangulation of Akbulut-Kirby sphere ### ### ### ### ### ### properties: ### ### ### ### f=(996,15414,51716,62160,24864) ### ### H_*=(Z,0,0,0,Z) ### ### PL 4-sphere ### ### ### ### ### ### references: ### ### ### ### Frank H. Lutz and Mimi Tsuruga. ### ### Constructing complicated spheres. ### ### arXiv:1302.6856[math.CO], 2013. ### ### ### ### ### #################################################################################### #################################################################################### #################################################################################### facets:=[ [0,1,2,5,251],[0,1,2,5,492],[1,2,5,492,990],[1,2,5,503,990], [0,1,2,35,281],[0,1,2,35,492],[1,2,35,492,990],[1,2,35,533,990], [0,1,2,248,251],[0,1,2,248,281],[1,2,500,503,990],[1,2,500,533,990], [0,1,4,5,251],[0,1,4,5,492],[0,1,4,492,990],[1,4,5,492,990], [1,4,5,503,990],[0,1,4,250,251],[0,1,4,250,748],[0,1,4,502,990], [1,4,502,503,990],[0,1,4,502,748],[0,1,34,35,281],[0,1,34,35,492], [0,1,34,492,990],[1,34,35,492,990],[1,34,35,533,990],[0,1,34,238,484], [0,1,34,238,736],[0,1,34,280,281],[0,1,34,280,484],[0,1,34,532,990], [1,34,532,533,990],[0,1,34,532,736],[0,1,237,238,484],[0,1,237,238,736], 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