Projective plane

Description
Just a projective plane. Made of 6 vertices and 10 facets.
(The vertices with the same label should be identified.)
Properties
Not constructible. Cohen-Macaulay over fields with characteristics 2, but not otherwise. This example is partitionable.
Datum
projective.dat
Some table
vertex decomposable?no
extendably shellable?no
shellable?no
constructible?no
Cohen-Macaulay?no (yes if the characteristics is 2.)
topologyProjective plane
f-vector(1,6,15,10)
h-vector(1,3,6,0)
made byEveryone knows
References
see some introductory textbooks on topology.

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