The data given here is made from Björner and Lutz's triangulation of the poincaré sphere by taking double suspension, according to their paper. They suggested a way to take a suspension by introducing only one new vertex in one time ("Datta's trick"), so this non-PL sphere has only 18 vertices. (With 269 facets.)
vertex decomposable? | no |
extendably shellable? | no |
shellable? | no |
constructible? | no |
Cohen-Macaulay? | yes |
topology | non-PL 5-sphere |
f-vector | (1,18,141,515,930,807,269) |
h-vector | (1,12,66,111,66,12,1) |
made by | Edwards, triangulated by Björner & Lutz |