Gru"nbaum's 3ball
 Description

Gru"nbaum made a very small example of a nonshellable triangulation
of a 3ball and achieved it with 14 vertices and 29 facets.
This is smaller than Rudin's ball.
(This seems not have a convex realization. But this has a
(nonconvex) realization in 3dim space.)
 Properties

This example is known to be constructible
 Datum

gruenbaum.dat
 Some table

vertex decomposable?  no 
extendably shellable?  no 
shellable?  no 
constructible?  yes 
CohenMacaulay?  yes 
partitionable?  yes 
topology  3ball 
fvector  (1,14,54,70,29) 
hvector  (1,10,18,0,0) 
made by  Grunbaum 
 References
 G.Danaraj and V.Klee,
Which spheres are shellable?,
Annals of Discrete Mathematics 2 (1978), 3352.
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