Simon's non-extendably shellable example

Description

Simon's example of a 2-dim simplicial complex which is shellable but not extendably.
Appears in Simon's 1994 paper in the appendix section. Having the same structure as nonextend.dat. That is, this example is contractible and its boundary consists of just one edge.

Datum

simon.dat

Some table

vertex decomposable?	no
extendably shellable?	no
shellable?	yes
constructible?	yes
Cohen-Macaulay?	yes
partitionable?	yes
topology	contractible
f-vector	(1,7,20,14)
h-vector	(1,4,9,0)
made by	Simon

References

R.S.Simon, Combinatorial properties of "Cleanness", J. Algebra 167 (1994), 361-388.