Dunce hat in the simplicial polytopal Grünbaum-Sreedharan sphere No. 32 with 8 vertices
A triangulated 3-sphere with 8 vertices and f-vector f = (8,27,38,19)
that contains a vertex-minimal 8-vertex triangulation of the dunce hat.
57Q05
57Q15
57Q35
dunce hat
3-sphere
vertex-minimal triangulation
non-extendably collapsible
collapsibility and contractibility of simplicial complexes
0 1 2 4
0 1 2 6
0 1 3 4
0 1 3 7
0 1 6 7
0 2 4 7
0 2 5 6
0 2 5 7
0 3 4 7
0 5 6 7
1 2 4 5
1 2 5 6
1 3 4 5
1 3 5 6
1 3 6 7
2 4 5 7
3 4 5 6
3 4 6 7
4 5 6 7