Mani & Walkup's 3-sphere(C)

Description
A 3-sphere made by Mani and Walkup, which is not vertex decomposable This is made in relation to the Hirsh conjecture, that the w_v path conjecture fails for general (non-polytopal) spheres. Called "C" in the paper.
Properties
This sphere is shellable.
Datum
mani-walkup-C.dat
Some table
vertex decomposable?no
extendably shellable??
shellable?yes
constructible?yes
Cohen-Macaulay?yes
partitionable?yes
topology3-ball
f-vector(1,20,126,212,106)
h-vector(1,16,72,16,1)
made byMani&Walkup
References
P.Mani and D.W.Walkup, A 3-sphere counterexample to the $W_v$-path conjecture, Math. Operations Research 5 (1980), 595-598.
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