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.)
topology
Projective plane
f-vector
(1,6,15,10)
h-vector
(1,3,6,0)
made by
Everyone knows
References
see some introductory textbooks on topology.
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