Constructible but not shellable example (part 2)

Description
The vertices with the same labeling are identified.
Properties
Constructible but not shellable.
This is not shellable, but a suitable subdivision makes it to be shellable. That is, shellability for 2-dim simplicial complexes is not a topological property.
Datum
c-ns2.dat
Some table
vertex decomposable?no
extendably shellable?no
shellable?no
constructible?yes
Cohen-Macaulay?yes
partitionable?yes
topologycontractible
f-vector(1,13,39,27)
h-vector(1,10,16,0)
made byHachimori
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