Ziegler's 3ball
 Description

Ziegler's 1998 paper showed a very small nonshellable 3ball
which is even smaller thatn Gru"nbaum's ball.
This amazing example has only 10 vertices and 21 facets.
(Believed to be the smallest.)
 Properties

This is known to be constructible.
 Datum

ziegler.dat
 Some table

vertex decomposable?  no 
extendably shellable?  no 
shellable?  no 
constructible?  yes 
CohenMacaulay?  yes 
partitionable?  yes 
topology  3ball 
fvector  (1,10,38,50,21) 
hvector  (1,6,14,0,0) 
made by  Ziegler 
 References
 G.M.Ziegler,
Shelling polyhedral 3balls and 4polytopes,
Discrete Comput. Geom. 19 (1998), 159174.
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