Nonextendably shellable example
 Description

The vertices with the same labling are identified.
 Properties

Shellable but not extendably shellable.
That this example is contractible and that {1,3} is the only boundary part
imply that every shelling should end by {1,3,4}. Thus not extendably
shellable. (Partial shellings started from {1,3,4} can not be completed.)
 Datum

nonextend.dat
 Some table

vertex decomposable?  no 
extendably shellable?  no 
shellable?  yes 
constructible?  yes 
CohenMacaulay?  yes 
partitionable?  yes 
topology  contractible 
fvector  (1,7,19,13) 
hvector  (1,4,8,0) 
made by  Hachimori 
 References
 M.Hachimori,
Combinatorics of constructible complexes, PhD thesis.
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