Projected Products of Polytopes
Abstract
Description
We construct a 2-parameter family of 4-dimensional polytopes with extreme combinatorial structure: In this family, the ``fatness'' of the f-vector gets arbitrarily close to 9, the ``complexity'' (given by the flag vector) gets arbitrarily close to 16.
The polytopes are obtained from suitable deformed products of even polygons by a projection to four-space.
8 pages (extended abstract)
8 pages (extended abstract)