Lockeberg's 4polytope
 Description

This 4dimensional polytope was shown in Lockeberg's PhD thesis
in 1977 and this is an example whose boundary complex is not
vertex decomposable. Reviewd in the article by Klee & Kleinschmidt.
 Properties

This is shellable because polytopes are shellable.
 Datum

lockeberg.dat
 Some table

vertex decomposable?  no 
extendably shellable?  ? 
shellable?  yes 
constructible?  yes 
CohenMacaulay?  yes 
partitionable?  yes 
topology  3sphere (4polytope) 
fvector  (1,12,60,96,48) 
hvector  (1,8,30,8,1) 
made by  Lockeberg 
 References
 V.Klee and P.Kleinschmidt,
The dstep conjecture and its relatives,
Math. Operations Research 12 (1987), 718755.
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