Ziegler's 3-ball
- Description
-
Ziegler's 1998 paper showed a very small non-shellable 3-ball
which is even smaller thatn Gru"nbaum's ball.
This amazing example has only 10 vertices and 21 facets.
(Believed to be the smallest.)
- Properties
-
This is known to be constructible.
- Datum
-
ziegler.dat
- Some table
-
| vertex decomposable? | no |
| extendably shellable? | no |
| shellable? | no |
| constructible? | yes |
| Cohen-Macaulay? | yes |
| partitionable? | yes |
| topology | 3-ball |
| f-vector | (1,10,38,50,21) |
| h-vector | (1,6,14,0,0) |
| made by | Ziegler |
- References
- G.M.Ziegler,
Shelling polyhedral 3-balls and 4-polytopes,
Discrete Comput. Geom. 19 (1998), 159-174.
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