Dunce hat
Description
The Dunce hat. Made of 8 vertices and 17 facets.
The vertices with the same lable should be identified.
This is a famous example of non-collapsible but contractible example.
Properties.
Not constructible but Cohen-Macaulay.
Datum
dunce_hat.dat
Some table
vertex decomposable?
no
extendably shellable?
no
shellable?
no
constructible?
no
Cohen-Macaulay?
yes
topology
Dunce hat
f-vector
(1,8,24,17)
h-vector
(1,5,11,0)
made by
Zeeman(?)
References
E.C.Zeeman, On the dunce hat, Topology 2 (1964), 341-358.
Return