Projected Products of Polytopes

Details Projected Products of Polytopes Projected Products of Polytopes

2004-07-03

arxiv.org/abs/math/0407042v1

Mathematics

Metric Geometry

8 pages (extended abstract)

Scientific paper

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.

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