Gru"nbaum's 3-ball

Description
Gru"nbaum made a very small example of a non-shellable triangulation of a 3-ball 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 3-dim space.)
Properties
This example is known to be constructible
Datum
gruenbaum.dat
Some table
vertex decomposable?no
extendably shellable?no
shellable?no
constructible?yes
Cohen-Macaulay?yes
partitionable?yes
topology3-ball
f-vector(1,14,54,70,29)
h-vector(1,10,18,0,0)
made byGrunbaum
References
G.Danaraj and V.Klee, Which spheres are shellable?, Annals of Discrete Mathematics 2 (1978), 33-52.

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