Lockeberg's 4-polytope

Description

This 4-dimensional 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
Cohen-Macaulay?	yes
partitionable?	yes
topology	3-sphere (4-polytope)
f-vector	(1,12,60,96,48)
h-vector	(1,8,30,8,1)
made by	Lockeberg

References

V.Klee and P.Kleinschmidt, The d-step conjecture and its relatives, Math. Operations Research 12 (1987), 718-755.