The $E_t$-Construction for Lattices, Spheres and Polytopes

Details The $E_t$-Construction for Lattices, Spheres and Polytopes The $E_t$-Construction for Lattices, Spheres and Polytopes

2003-04-30

arxiv.org/abs/math/0304492v2

Mathematics

Metric Geometry

21 pages, many figures

Scientific paper

We describe and analyze a new construction that produces new Eulerian lattices from old ones. It specializes to a construction that produces new strongly regular cellular spheres (whose face lattices are Eulerian). The construction does not always specialize to convex polytopes; however, in a number of cases where we can realize it, it produces interesting classes of polytopes. Thus we produce an infinite family of rational 2-simplicial 2-simple 4-polytopes, as requested by Eppstein, Kuperberg and Ziegler. We also construct for each $d\ge3$ an infinite family of $(d-2)$-simplicial 2-simple $d$-polytopes, thus solving a problem of Gr\"unbaum.

Affiliated with

Also associated with

No associations

Rating

The $E_t$-Construction for Lattices, Spheres and Polytopes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The $E_t$-Construction for Lattices, Spheres and Polytopes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The $E_t$-Construction for Lattices, Spheres and Polytopes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-31808